David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos
cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of
$78,50 and sold a total of 87 nachos and sodas combined. Which system of equations
represents this situation?

Answers

Answer 1

Answer:

x + y = 87

1.5x + 0.5y = 78.50

Step-by-step explanation:

Let x be the number of nachos sold and y be the number of sodas sold

x nachos will cost 1.50x dollars
y sodas will cost 0.50y dollars

So total sales = 1.5x + 0.5y and we know he made $78.50

so one equation is
1.5x + 0.5y = 78.50

Total sold = x + y and we know that this number is 87

So the second equation is

x + y = 87


Related Questions

367 Times 10 -3
Express the following numbers in scientific notation

Answers

Answer:

To express a number in scientific notation, you need to write it as a number between 1 and 10, multiplied by a power of 10.

In this case, 367 can be written as 3.67 x 100, and 10-3 can be written as 0.001.

Therefore, 367 x 10-3 can be expressed in scientific notation as:

3.67 x 0.001 = 0.00367

This can also be written as 3.67 x 10^-3. The ^ symbol indicates an exponent, and in this case, it means that the base number (3.67) is multiplied by 10 to the power of -3.

Step-by-step explanation:

Please help me with this.

Answers

1. Parallel

2. Perpendicular

3. Skew

4. Parallel

5. Perpendicular

6. ↔QW, ↔SW, ↔TZ

7. ↔YZ, ↔ST

8. ↔RQ, ↔QW, ↔ST, ↔TZ

9. Plane TQW, plane SRX, plane ZWX

10. Plane WXY

11. Corresponding

12. Alternate exterior

13. Alternate interior

14. Consecutive interior

15. Alternate exterior

16. Alternate interior

17. ↔OL ║↔VN

18. ↔VN ⊥ ↔RT

19. No; the markings do not indicate that the lines are parallel


Find the monthly payment R needed to have a sinking fund accumulate the future value A. The yearly interest rater and the time t in years are given below. Interest
is compounded monthly.
A=$4,000; r = 5.5%; t=1
R=$
(Round up to the nearest cent.)
Clear all
Check answer
2:21 PM

Answers

The monthly payment (R) needed to have a sinking fund accumulate the future value (A) is equal to $325.08

What is Future Value?

Future value (FV) is the value of an asset now based on an anticipated rate of increase in the future. Investors and financial planners use the future value to project how much an investment made now will be worth in the future.The formula for future value (A) is given as, [tex]A=\frac{R[(1+\frac{r}{n})^{nt}-1] }{\frac{r}{n}}[/tex], where R is the monthly payment, r is the yearly interest rate, t is the time (in years) and n is the number of compounding (monthly).

Here, the given values are:

A=$4,000;

r=5.5%=0.055

t=1 year

And it is given that the interest is compounded monthly.

So, n=12

Using the formula for Future Value, [tex]A=\frac{R[(1+\frac{r}{n})^{nt}-1] }{\frac{r}{n}}[/tex]

Substituting the given values in the above equation, we get

[tex]4000=\frac{R[(1+\frac{0.055}{12})^{12 \times 1}-1] }{\frac{0.055}{12}}\\\implies 4000=\frac{R[(1+0.0046)^{12}-1] }{0.0046}\\\implies 4000=\frac{R \times 0.0566 }{0.0046}\\[/tex]

Rearranging the above expression  in terms of the monthly payment, we get

[tex]R=\frac{4000 \times 0.0046}{0.0566} \\\implies R=325.08[/tex]

Therefore, the monthly payment (R) needed to have a sinking fund accumulate the future value (A) is $325.08

To learn more about the future value from the given link

https://brainly.com/question/24703884

#SPJ1

How far does a wheel travel in 4 rotations with a radius of 36 inches?
Round to the nearest hundredths

Answers

The wheel will travel 904.32 inch when it take 4 rotation

How do you calculate distance using radius and revolutions?

Hint: To calculate the wheel's circumference, use the formula 2πr, where r is the radius and π=3.14 , to first determine the distance covered in one revolution. To determine the distance traveled, multiply the distance covered in one revolution by 200. In the end, multiply it by 100 to get the distance in meters.

In mathematics, what is the circumference?

The distance between the center of the sphere and any plane passing through it is known as the circumference. Any large circle that passes through a point known as a pole is called a meridian.

The circle's circumference must be known in order to compute the distance covered during one rotation. C=2πr is the formula for the circumference.

The radius, designated as r, is 36 inches. As a result, C=2π36 = 72π. The distance covered in one rotation is 226.08 inches because (pi) =3.14159, C=226.08 inches. So when we rotate this 4 times the it travels 226.08 * 4 = 904.32 inch

Learn more about circumference

https://brainly.com/question/27447563

#SPJ1

In​ 2012, the population of a city was 6.51 million. The exponential growth rate was 2.75​% per year. ​a) Find the exponential growth function. ​b) Estimate the population of the city in 2018. ​c) When will the population of the city be 10 ​million? ​d) Find the doubling time.

Answers

The exponential growth function is P = 6.51 (1.0275)^t. The population of the city in 2018 will be 7.66 million. The population of the city will be 10 ​million in 15.82258467 years and the doubling time is 25.55035862 years

How to find the exponential growth function?

The exponential growth function is of the form P = P₀(1+r)^t

where P₀ is the current population, r is the growth rate and t is the time

Given: P₀ =  6.51 million, r = 2.75​% per year

a) The exponential growth function

P = 6.51 (1+0.0275)^t

P = 6.51 (1.0275)^t

​b) The population of the city in 2018

t = 2018-2012 = 6 years

P = 6.51 (1.0275)^t

P = 6.51 (1.0275)⁶ = 7.66 million

​c) When the population of the city will be 10 ​million

P = 6.51 (1.0275)^t

10 =  6.51 (1.0275)^t        (Solve for t)

(1.0275)^t =10/6.51

log (1.0275)^t = log(10/6.51)

t × log (1.0275) = log(10/6.51)

t = [log(10/6.51)] / [log (1.0275)]

t = 15.82258467 years

d) The doubling time

P =  6.51 (1.0275)^t will become:

2 = 1 (1.0275)^t

1.0275^t = 2

log(1.0275)^t = log 2

t log(1.0275) = log 2

t = log 2 / log 1.0275

t = 25.55035862 years

Learn more about population growth function on:

brainly.com/question/25896797

#SPJ1

( (-2)³)²

help me solve please

Answers

The answer is 64

If you need a breakdown I don't know how to help.

((-2)^3)^2 means ((-2•-2•-2))^2.
So, the order of operations requires you do the inside parentheses first. -2^3 is -8. Then, (-8)^2 means -8 • -8 = 64. (negative times negative is positive). Peace.

Solve the following and find Q R

Answers

Q is in the top and the r is on the right

Answer:

QR = 49

Step-by-step explanation:

QR = QP

3x + 22 = 10x - 41

x = 9

10(9) - 41

= 49

What is the common angle of APOT and ARSQ?
OZ POT
OZSPT
OZ SRO
OZSUT
P
R
S
Q

Answers

From the given options the common angle of ΔPQT and ΔRSQ is ∠PQT.

What is a common angle:

When an angle appears simultaneously in multiple geometric figures, it is referred regarded as being a common angle. Two figures with shared vertices points and angle edges are said to have a common angle.  

Here we have  

ΔPQT and ΔRSQ    

The internal angles of ΔPQT are

=> ∠PQT,  ∠PTQ, and ∠QPT

The internal angles of ΔRSQ are

=> ∠SRQ, ∠RSQ, and ∠SQR

Where ∠PQT = ∠SQR

 

From above information

The common angles of ΔPQT and ΔRSQ are ∠PQT and ∠SQR    

Therefore,

From the given options the common angle of ΔPQT and ΔRSQ is ∠PQT  

Learn more about Common angles at

https://brainly.com/question/19569101

#SPJ1  

Complete Question:

What is the common angle of ΔPQT and ΔRSQ from the given figure?

 

Peter has collision insurance with $1000 deductible. He backs his car into a lamppost and causes $4300 worth of damage to the car. How much will his insurance company have to pay (assuming he is covered).

Answers

In this situation, Peter's insurance company will pay for the damages to the car, minus the deductible. The deductible is the amount of money that the insured party (in this case, Peter) is responsible for paying before the insurance company will cover the rest of the damages.

Since Peter has a $1000 deductible and the damages to the car are $4300, the insurance company will pay $4300 - $1000 = $3300 for the damages.

So, in this case, the insurance company will have to pay $3300 to cover the damages to Peter's car.

Consider the following general triangle.
C = 60.0°, c = 151 m, b = 181 m
(a)
Determine the number of solutions.
(b)
Solve the triangle, if possible, using the labels as shown in the figure below. (Round lengths in m to three significant digits and angles to the nearest tenth of a degree. If there is no solution, enter NO SOLUTION in all unused answer blanks. If there is more than one solution, enter your answers as a comma-separated list.)
A °=
B °=
a=

Answers

To solve this problem, we can use the Law of Cosines. The Law of Cosines states that for a triangle with sides a, b, and c and the angle C opposite side c, the following equation holds:

c^2 = a^2 + b^2 - 2abcos(C)

In this problem, we are given the measure of angle C and the lengths of sides b and c. We can use this information to find the length of side a and the measures of angles A and B.

First, we can use the Law of Cosines to find the length of side a. Plugging in the given values, we get:

a^2 = c^2 - b^2 + 2bc cos(C)

Substituting in the given values, we get:

a^2 = 151^2 - 181^2 + 2 * 151 * 181 * cos(60.0°)

Solving this equation gives us a = 143 m.

Now that we have the length of side a, we can use the Law of Sines to find the measures of angles A and B. The Law of Sines states that for a triangle with sides a, b, and c and angles A, B, and C opposite these sides, the following equation holds:

a/sin(A) = b/sin(B) = c/sin(C)

We are given the lengths of sides a and b and the measure of angle C. We can use this information to find the measures of angles A and B.

First, we can use the Law of Sines to find the measure of angle A. Plugging in the given values, we get:

a/sin(A) = b/sin(B)

Solving for sin(A), we get:

sin(A) = a * sin(B) / b

Substituting in the given values, we get:

sin(A) = 143 m * sin(B) / 181 m

To find the measure of angle A, we can use the inverse sine function (sin^-1). This gives us:

A = sin^-1(sin(A))

= sin^-1(143 m * sin(B) / 181 m)

Similarly, we can use the Law of Sines to find the measure of angle B:

B = sin^-1(143 m * sin(A) / 181 m)

Since we have two unknowns (A and B) and two equations, there is a unique solution for this triangle.

Therefore, the number of solutions is 1, and the measures of angles A and B are A = 38.5° and B = 101.5°. The length of side a is 143 m.

1,y=4 x+3
2.y=5/4 x+3
3.y=-4 x+3
4.y=-5/4 x+3

Answers

Answer:

the answer will be the option 2

Jenny has c charms on her bracelet her older sister has five more charms than Jenny write an expression that

Answers

The expression that shows how many charms Jenny's older sister has is

c + 5.

What are algebraic expressions?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

Expressions are made up of terms.

According to the given question:

Jenny has c charms on her bracelet.

Her older sister has 5 more charms than Jenny.

To write an expression that shows the number of charms her older sister has. we simply add 5 extra charms to the number of charms Jenny has

Therefore, Jenny's older sister has c + 5 charms.

In this expression c represents the number of charms Jenny has.

The complete question is as follows:

Jenny has c charms on her bracelet. Her older sister has 5 more charms than Jenny. Write an expression that shows how many charms her older sister has.

To know more about algebraic expressions visit

https://brainly.com/question/12739821

#SPJ1

The Riddler earns $18 per hour at the Gotham Police Station. He regularly works 40 hours per week. He is paid time-and-a-half for each hour of overtime work. Last week he worked 47 hours. What was his gross pay for the week?

Answers

The gross pay for Riddler for working 47 hours will be $783.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the Riddler earns $18 per hour at the Gotham Police Station. He regularly works 40 hours per week. He is paid time-and-a-half for each hour of overtime work. Last week he worked 47 hours.

The overtime cost = 1/2 x 18

The overtime cost = $9

The gross pay will be calculated as,

Gross pay = ( 40 x 18 ) + ( 7 x 9 )

Gross pay = 720 + 63

Gross pay = $783

To know more about an expression follow

https://brainly.com/question/13178740

#SPJ1


Select the expression that represents the ADDITION of
the two number lines.
O-10x+ 5x - 30x
O-10x-5x + 30x
O 10x + 5x - 30x

Answers

An expression that represents the ADDITION of the two number lines is: B. -10x - 5x + 30x.

Each segment equals 5x and the first arrow is 30x long.

What is a number line?

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Based on the number line shown above, we can reasonably infer and logically deduce that each of its segment is equal to 5x with the longest arrow measuring 30x on the number line.

Read more on number line here: brainly.com/question/21832213

#SPJ1

What is the RANGE of the cluster shown on this graph?

Answers

The range of the cluster shown in the graph is [1, 6]

What is range of a graph?

The range is all the values of the graph from down to up or on the x-axis.

Solution :

∵ Range is calculated from x-axis

∴ Range  {1,2,3,4,5,6} = 6-1

                                     = 5

#SPJ4

The range of the cluster shown in the graph is [1, 6]

What is range of a graph?

The range is all the values of the graph from down to up or on the x-axis. The possible output values are displayed on the y-axis and make up the range. Remember that the domain and range of the graph could be larger than the visible values if it extends beyond the area that can be seen.

Solution :

Range is calculated from x-axis

Range  {1,2,3,4,5,6} = 6-1

                                    = 5

To learn more about range visit:

https://brainly.com/question/29794762

#SPJ4

What is the difference in the things shown on the photo

Answers

option c)   4x⁴ -2x³ -2x² +3x -10

On subtracting we will get

(3x²₋ 2x + 4x⁴) - (5x²+2x³-5x+10)

= 3x²- 5x²- 2x -2x³+ 4x⁴+ 5x -10

= -2x² + 3x  -2x³ + 4x⁴- 10

= 4x⁴ -2x³- 2x² + 3x - 10

The given sum belongs to quadratic equation

Quadratic equation definition:

When a, b, and c are real-world coefficients, a second-order equation is said to be quadratic if it is represented as ax²+ bx + c = 0.

The Characteristics of Quadratic Equations' Roots

The discriminant of the quadratic equation ax2+bx+c=0 is (b2-4ac), which determines whether or not the equation has real roots.

The quadratic equation ax2+ bx + c= 0 hence

If b2-4ac >0, two different real roots

If b2-4ac= 0, there are two equal real roots.

To see similar problem on quadratic equation click on given link below

brainly.com/question/28183293

#SPJ1

PLEASE HELP WILL MARK BRAINLIEST..Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.
x= -2, x=7

P(x)=

Answers

A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14

What is a polynomial function?

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.

A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.

x= -2, x=7

Given,

P(x) = 0

This polynomial function has the roots,

x= -2, x=7

So,

(x+2)(x-7)

We have to multiply both of them we get,

P(x)=(x+2)(x-7)

0=x²-5x-14

x²-5x-14=0

Therefore, P(x)=x²-5x-14 is the polynomial function.

To know more about polynomial function, visit:

https://brainly.com/question/12976257

#SPJ1

Given the value: 47.728
a. Write the word name of the value.
b. Write the expanded form of the value
c. Use a number line to round this value to the nearest hundredth.

Answers

Your knowledge of the percentage 47.728 is already complete.4772.8% is the percentage equivalent of 47 7 2 8.

What is 47.728 as a Percent?

To compute 47.728 as a percentage of a given number x, divide 47.728 by x and multiply the result by 100.

For instance, the ratio of 47.728 to 10 is equal to (47.728 / 10) times 100%, or 477.28%.

Use the decimals to percents converter found below at your convenience.

Place your value in the "% of" area after entering 47.728 in the number field.

Press reset first if you want to restart.

At this point, an automatic conversion to 47.728 in percent will take place.

The answer has been rounded to ten decimal places, as you can see.

To learn more about  percentage refer

https://brainly.com/question/24304697

#SPJ1

d(x) = 3x²-x
Find d(-4).

Answers

Answer:

52

Step-by-step explanation:

Substitute the value -4 into the expression and simplify:

3(-4)^2 - (-4)

3(16) + 4

48 + 4

52

Consider a student loan of ​$25,000 at a fixed APR of 9​% for 20 years.
a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount​ paid, what percentage is paid toward the principal and what percentage is paid for interest.

Answers

The monthly payment will be $161.20.The total amount paid over the term of the loan is $38,688 and 58.2% is paid toward the principal while 41.8% is paid toward interest.

What is compound interest?

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

As per the given,

Principle amount P = ​$25,000

APR = 9% = 0.09

Time period T = 20 years

a) Monthly payment will be given as,

⇒ P(r/12)/(1 -(1 +r/12)^(-12t))

⇒ 22500·(0.06/12)/(1 -(1 +0.06/12)^(-12·20))

⇒ $161.20

b) After 20 years the amount as,

$161.20 x 240 = $38,688

c) (22500/38688)·100% = 58.2% is paid toward principal

The remaining amount, 41.8% is paid toward interest.

Hence "The monthly payment will be $161.20.The total amount paid over the term of the loan is $38,688 and 58.2% is paid toward the principal while 41.8% is paid toward interest".

For more information about compound interest,

brainly.com/question/26457073

#SPJ1

Enter the equation of the circle described below.

Center (0, 8), radius = 8

x2 + (y -
)2 =

Answers

The equation of the circle described in the problem is x² + (y - 8)² = 64.

What is the equation of a circle?

The general equation of any type of circle is represented by: x2 + y2 + 2gx + 2fy + c = 0, for all values of g, f, and c.

The general equation of a circle is (x – h)2 + (y – k)2 = r2, where (h, k) represents the location of the circle's center, and r represents the length of its radius.

The standard form equation of a circle with center at (h, k) and radius r is given by:

(x - h)² + (y - k)² = r²

Substituting the given values into this equation, we get:

(x - 0)² + (y - 8)² = (8)²

Simplifying this equation gives:

x² + (y - 8)² = 64

Hence, This is the equation of the circle described in the problem.

To learn more about the equation of a circle visit,

https://brainly.com/question/1506955

#SPJ1

For those who are on Plato and have done this tutorial,please tell me the answer to this question. And it can't be equilibrium,because I tried that and it didn't work.

Answers

By using the concept of demand and supply, it can be concluded that-

The price at which the quantity demanded is equal to the quantity supplied is the equilibrium price.

What is demand and supply?
Demand is the amount of good which the customer wants to purchase during a particular time at a particular price.

Supply is the total amount of goods made available to the customer at a particular time

Equilibrium price is the price at which the quantity demanded is equal to the quantity supplied

So the price at which the quantity demanded is equal to the quantity supplied is the equilibrium price.

To learn more about demand and supply, refer to the link-

https://brainly.com/question/4804206

#SPJ1

I’ll mark BRAINLIST Can someone please help please

Answers

I think the answer is B but I’m not 100% sure. Check on mathaway (it’s an app) it’s helpful

On a bicycle, Na'estse rides for 8 hours and s 42 miles from her house. After riding for 10 hours, she is 52
miles away.
What is Na'estse's rate?
miles per hour

Answers

Answer:5 miles per hour

Step-by-step explanation:

By subtraction, we can see that the second time was 10-8=2 hours  and covered 52-42=10 miles.  10 miles/2hours = 5 miles per hour.  So that was her constant (or average) speed throughout the trip.

What is the solution to this system of equations?

8a−4b=20
5a−8b=62
a=
b=

Answers

Answer:

Hello there, I think this is the answer

a = - 2

b = - 9

Part A

In the story "Life on the Sea," how does the captain mostly feel when he is on the sea?
Responses

miserable
miserable

proud
proud

guilty
guilty

confident
confident
Question 2
Part B

Which excerpts from the story best support the answer in Part A?

Select the two correct answers.
Responses

"He gave his job two weeks’ notice and was back on the sea right away."

"The calmness that he felt when the water was placid wasn’t like any stillness that he experienced on land."

"He had spent most of his life on the sea; he knew the habits and nuances of the water like it was his closest friend."

"The storm roiled on the horizon as rough waves rocked the helm of the boat."
"

Answers

Confident, In contrast to any stillness he had ever felt on land, he felt a sense of calm when the water was calm. and "He gave two weeks' notice at his job and immediately sailed off again."

What is a fishing vessel?

fishing vessel Place on list Share. fishing boat definitions. a fishing vessel with a well for preserving the catch. A boat and a fishing smack are potential candidates. both sorts of draggers and trawlers. Fishing ships or boats are used to remove aquatic creatures from bodies of water.

A trawl is a type of fishing net that is currently dragged along or through the ocean floor at specific depths. Since trawlers are frequently bigger than fishing boats and struggle to maneuver when necessary, they are given special qualities in ror.

Thus, options A and A, B are correct.

To know more about fishing vessel, visit:

https://brainly.com/question/26399526

#SPJ1

Answer:

Part a: confident

Part b: "The calmness that he felt when the water was placid wasn’t like any stillness that he experienced on land." and "He had spent most of his life on the sea; he knew the habits and nuances of the water like it was his closest friend."

Step-by-step explanation: I took the test :)

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference. True or False ?

Answers

As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.

Confidence interval,

in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Given,

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.

Here we need to find the given statement is true or false.

While we looking into the given question, we have identified that the value of

Confidence interval = 95%

Sample size = 20

Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

Therefore, the statement is in correct.

To know more about confidence interval here.

https://brainly.com/question/24131141

#SPJ4

Each problem describes the relationship between two variables. Use the equation that models the relationship to complete the table. Then plot the points from the table on the graph. Draw the line connecting the points to represent the equation on the coordinate plane.
1. Andre uses 2 scoops of lemonade mix for each batch of lemonade he makes. The equation that models the total scoops of lemonade mix Andre uses, s, for b batches is s=2 b.

Answers

The completed table and the graph of the proportional relationship are given by the image shown at the end of the answer.

What is the proportional relationship?

The proportional relationship in this problem is defined as follows:

s=2 b.

The variables are defined as follows:

The output s is the number of lemonade mixes used.The input b is the number of batches of lemonade made.

Then the graph of the proportional relationship is that of a linear function with these following features:

Slope of 2, hence when b increases by one, s increases by two.Intercept of zero, as when b = 0, s = 0.

Then the numeric values that complete the table are calculated as follows:

b = 0: s = 2(0) = 0.b = 1: s = 2(1) = 2.b = 2: s = 2(2) = 4.b = 3: s = 2(3) = 6.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Processing for result of 3/4+5/4=​

Answers

Answer:

8/4, or 2

Step-by-step explanation:

Brainliest, Please!

Addition of homogeneous fractions:

Like fractions are fractions that have the same denominator.

To add like fractions, you must add the numerators and keep the same denominator. Finally, the result is simplified if possible.

The procedure for this addition of fractions is as follows:

[tex]\begin{gathered} \sf \frac{3}{4} + \frac{5}{4} = \\ \\ \sf \frac{3 + 5}{4} = \\ \\ \boxed{ \sf\frac{ \red8}{ \red4} }= \sf \blue2\end{gathered}[/tex]

Therefore, the result of the sum of fractions is two.

How many solutions are there for the system of nonlinear equations represented by this graph?

Answers

Answer: A

Step-by-step explanation:

Other Questions
Please look at the picture its tells u what to do for the essay You are considering taking out a loan of $8,000.00 that will be paid back over 8 years with quarterly payments of $320.19. If the interest rate is 6.3% compounded quarterly, what would the remaining balance be immediately after the fourteenth payment?The remaining balance would be $___________. (Round to 2 decimal places.) the perceived positive or negative value assigned to a breach of expectations, regardless of who the violator is, is called: which phrase best completes the juxtaposition?From the glittering wealth of the suburbs to the quiet comfort of homesbustling floors of factoriesfilthy poverty of citiesofficious halls of colleges the nurse working in a community health clinic that serves recent somali immigrants notes that most mothers refuse to give permission for routine immunizations of their preschoolers. which individual is likely to have the most influence on these women's perceptions about their children's health care needs i need help to solve this!! A circle has a circumference of 12. It has an arc of 8/5What is the central angle in the arc? What is the measure of angle x? (5 points)A pair of parallel lines is cut by a transversal. An exterior angle on the left of the transversal is labeled as 45 degrees. An interior angle on the right of the transversal, which is not vertically opposite to the 45 degree angle, is labeled as x.Question 2 options:1) 45 degrees2) 90 degrees3) 135 degrees4) 140 degrees 5. Humans' effect on the environment, which includes a combination of what they consume and the waste they produce, is the definition forA. environmental history.B. ecological fingerprint.C. ecological footprint.D. sustainability.Mark for review (Will be highlighted on the review page) "Nadie" es un ejemplo de qu? In Scratch, what is located in the bottom right section of the screen? A. code blocks B. editor C. run/test window D. sprite library A daycare center has a weekly revenue of $21,000. The daycare director has created a monthly budget using the following percentages for expenses: PercentEmployee Wages 42%Building Rent 10%Supplies 15%Equipment 5%Educational Licensing 2%Food 10%Utilities 10%Maintenance 3%Emergency/Repair 3%Which balance sheet correctly represents the daycare's income, expenses, and balance?IncomeAmountWeekly Income $21,000.00Total Monthly Income $84,000.00ExpensesPercent AmountEmployee Wages 42% $35,280.00Building Rent 10% $8,400.00Supplies 15% $12,600.00Equipment 5% $4,200.00Educational Licensing 2% $1,680.00Food 10% $8,400.00Utilities 10% $8,400.00Maintenance 3% $2,500.00Emergency/Repair 3% $2,500.00$84,000.00BalanceIncome $84,000.00Expenses $84,000.00Balance $0IncomeAmountWeekly Income $21,000.00Total Monthly Income $91,000.00ExpensesPercent AmountEmployee Wages 42% $38,220.00Building Rent 10% $9,100.00Supplies 15% $13,650.00Equipment 5% $4,550.00Educational Licensing 2% $1,820.00Food 10% $9,100.00Utilities 10% $9,100.00Maintenance 3% $2,730.00Emergency/Repair 3% $2,730.00$91,000.00BalanceIncome $91,000.00Expenses $91,000.00Balance $0IncomeAmountWeekly Income $21,000.00Total Monthly Income $94,500.00ExpensesPercent AmountEmployee Wages 42% $36,690.00Building Rent 10% $9,450.00Supplies 15% $14,175.00Equipment 5% $4,725.00Educational Licensing 2% $1,890.00Food 10% $9,450.00Utilities 10% $9,450.00Maintenance 3% $2,835.00Emergency/Repair 3% $2,835.00$94,500.00BalanceIncome $94,500.00Expenses $94,500.00Balance $0IncomeAmountWeekly Income $21,000.00Total Monthly Income $42,000.00ExpensesPercent AmountEmployee Wages 42% $17,640.00Building Rent 10% $4,200.00Supplies 15% $6,300.00Equipment 5% $2,100.00Educational Licensing 2% $840.00Food 10% $4,200.00Utilities 10% $4,200.00Maintenance 3% $1,260.00Emergency/Repair 3% $1,260.00$42,000.00BalanceIncome $42,000.00Expenses $42,000.00Balance $0 A ship is tied to a dock with a ropelength 10 m. At low tide, the rope isstretched tight, forming an angle of 45 with the horizontal. At high tide, the stretched rope makes an angle of 30 with the horizontal. How much closer to the dock, horizontally, is the ship at low tide than at high tide? Your friend just returned to the United States from their trip to Nepal and wants to exchange their 10,323 Nepalese rupees for U.S. dollars. How many dollars will they receive if the current exchange rate is 1 U.S. dollar to 124 Nepalese rupees? $103.23 $90.83 $83.25 $14.89 noah have the delivery person $20 to pay for his meal, including a tip. what percentage of the price before tax did he tip the delivery person Help! questions are in photo below! What teams played the first college flag football game? in what year was this game played?. Of the four quantities shown, assuming the market price remains the same, select the output that leads to a normal profit or break-even point. (Keep in mind that this concept is different from the profit-maximizing output.) Evaluate 9g+2h+5g9 +2h+5start fraction, 9, divided by, g, end fraction, plus, 2, h, plus, 5 when g=3g=3g, equals, 3 and h=6h=6h, equals, 6. Which of these is true about Columbus:A. His beliefs on the size and shape of the world was accurateB He was respected by all and he followed the law carefullyC Even some of his own men thought he was cruel and abusiveD All of aboveE None of the above