Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each and cookies cost $0.75 each. Which of these systems of equations below could be used to determine h , the number of hot dogs, and c , the number of cookies, Mike bought for lunch?

Answers

Answer 1

Answer:

1.1h+0.75c=4.55---------------1

h+c=5--------------2

Step-by-step explanation:

Step one:

given data

total lunch items= 5

let hot dogs be h

and cookies be c

cost of hot dogs = $1.10

cost of cookies = $0.75

total cost = $4.55

Step two:

The linear model for the total cost is given as

4.55=1.1h+0.75c---------------1

and the model for the number of items is

h+c=5--------------2

The systems of the equation for the situation is

1.1h+0.75c=4.55---------------1

h+c=5--------------2


Related Questions

How much money should be invested in an account that earns 8% interest compounded quarterly to yield $10,000 in 4 years? (Round your answer to the nearest cent.)

Answers

Answer:

757,576cents

Step-by-step explanation:

Given

Amount = $10000

Time = 4years

Rate = 8%

n = 1/4 year (compounded quarterly

Using the formula to get the principal

A = P(1+r/n)^nt

10000 = P(1+0.08/0.25)^4(1/4)

10000 = P(1+0.32)

10000= 1.32P

P = 10000/1.32

P = 7575.76

Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents

ADP (adenosine diphosphate) is made of one adenine base, one ribose sugar, and ____ phosphate
groups.
b. two
d. four
a.one
C.three

Answers

ADP has two phosphate.

Evaluate the expression when a =3 and c= 12.
I need help

Answers

Answer:

Step-by-step explanation:

What is the equation?

You need to replace all A with 3 and all c with 12. If I had the equation, I'd be glad to help further.

For the given values a=3 and c=12 the required expression is 4a-c=0.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The value of a = 3         (1)

And the value of c = 12       (2)

To determine the expression,

divide equation (1) and equation (2),

a/c = (3/12)

⇒a/c = 1/4

⇒4a=c

⇒4a-c = 0

The required expression is 4a-c=0.

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What is the slope of the line? -3x+5y=2x+3y

Answers

Answer: 5/2

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

for khan

What is t?
12t - 8t = -52

Answers

Answer: t=13

Step-by-step explanation:

Answer:

t=-13

Step-by-step explanation:

First solve:

12t -8t =4t

4t=-52

Next you must reduce both sides:

2t= -26

t=-13

What are the coordinates of point H? On a coordinate plane, point H is 1.5 units to the left and 3 units up. (Negative 3, 1 and one-half) (Negative 1 and one-half, 3) (1 and one-half, 3) (3, negative 1 and one-half)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(Negative 1 and one-half, 3)

Please Help ASAP If you want brainliest and 5 fives and thanks and friends list

Answers

Answer:

D is the answer

Step-by-step explanation:

1. Write an equation with a variable that can be solved by first using addition, and then using division. In other words, to solve your equation, you should add a number to both sides, and then divide both sides by a number.

2. Solve your equation. Make sure to set your solution equal to the variable.

3. Explain how you got your answer.

Answers

Answer:

12x-4= 2

Step-by-step explanation:

12x-4= 2

Add 4 to both sides

12x= 6

divide by 12

x= .5

What is the point of concurrency

Answers

Answer:

3 or more or lines intersect

please help me with this ​

Answers

Answer:

D

Step-by-step explanation:

I need help too this is hard

The ratio of the measure of the three angles in a triangle is 2:9:4. Find the measures of the angle.

Answers

Answer:

Let the measures of three angles be 2x, 9x, 4x

Sum of the angles of a triangle = 180

2x+9x+4x = 180

15x = 180

x = 180/15 = 12

First angle = 2x = 2*12 = 24°

Second angle = 9x = 9*12 = 108°

Third angle = 4x = 4*12 = 48°

I hope it is helpful:D

Step-by-step explanation:

please help its easy but I dont understand it​

Answers

Answer: 15

Step-by-step explanation:

Plug in 8 for e and solve

8 - ((sqrt 8 + 1) + 2)) + (8 - 3sqrt8) sqrt8 - 4

Kuta Software - Infinite Algebra 1
Finding Slope from a graph

Answers

Answer:  

   

Step-by-step explanation:

   

what is the question ?

It is estimated that 7 out of 10 people invited to a wedding will attend. If Mark and Katie invite 120 people, how many should they expect to attend?

Answers

7 and 10 is half

so we expect the people come to wedding half of 120÷2=60 people

i just try

(7-b)+(3b+2) find the sum

Answers

Answer:

9+2b

Step-by-step explanation:

add like terms

can someone pls help?

Answers

Answer:

1 serving to 4 oz of corn

Step-by-step explanation:

2/8 equals 1/4. 4/16 equals 1/4

Answer:

4 corn for every serving

Step-by-step explanation:

The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

One-eighth of the students in the seventh grade are in the school band. There are 44 students in the school band. Find the number of students in the seventh grade.

Answers

Answer: the correct answer is 5.5 students, but their cannot be one half of a student

Step-by-step explanation:

Convert the mixed fraction to a improper fraction. 2 4/9

Answers

Mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]

Define improper fraction.

A fraction in which value of numerator is greater or equal to the value of the denominator is known as an improper fraction.

Given mixed fraction is [tex]\boldsymbol{2\frac{4}{9}}[/tex]

[tex]2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}[/tex]

     [tex]=\frac{22}{9}[/tex]

So, mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]

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The required improper fraction is x = 22/9

Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = numerator / denominator,
example = 8 / 9`
Types of function,
1 .  Proper Fractions = numerator < denominator

2 . Improper Fractions = numerator > denominator

3 . Mixed Fractions: fraction in the form x+ a/b

What is an improper fraction?

An improper fraction is defined as when the numerator is equal to or larger than the denominator. example = a / b where a  > b or 5/2 where 5 > 2.

Let the fraction be x,
x = 2 4/9
x = 2 + 4/9
x = (18 + 4 ) / 9
x = 22/9


Thus, the required improper fraction is x = 22/9

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There are currently 4,000 Rhinos left in the world and they are going extinct at a rate of 3.7% each year. How many Rhinos will be left 10 years? F left parenthesis t right parenthesis equals P open parentheses 1 plus-or-minus r over n close parentheses to the power of n t end exponent Your answer: 2744 Rhinos 39 Rhinos 2743 Rhinos 40 Rhinos

Answers

Answer:

2744 Rhinos left

Step-by-step explanation:

Given that,

There are 4,000 Rhinos left in the world i.e. initial amount of Rhinos, A₀ = 4,000

They are going extinct at a rate of 3.7% each year.

We need to find no of Rhinos left in 10 years. For this, we will use exponential decay rate equation as follows :

[tex]A(t) = Ao(1 - r)^t[/tex]

Here, A₀ = 4,000, r = 3.7% = 0.037, t = 10 years

Putting all the values, we get :

[tex]A(t) = 4000\times (1 - 0.037)^{10}\\\\=2743.61[/tex] (we can use calculator to find it)

A(t) = 2744 Rhinos

Hence, 2744 Rhinos will be left after 10 years.

Find the value of each variable.



a​ = 6, b = , c = , d = 6

a = 6, b = , c = 2, d = 6

a = 6, b​ = , c = , d =

a = , b = , c = , d = 6

1

Answers

Answer:

Its 1

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!

Answers

15 2/6 or 15 1/3 (simplest form) because 3x6+5=23/6 x 4/1 = 92/6 converted to mixed number is 15 1/3

write a function rule for the nth term of each arithmetic sequence help :{ these are three questiom which m trying to solve but i cant i really mean i cant ​

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the AP.

1.) For the first Sequence, d= 4

so we get as, an = a + (n-1) d

an = 9/2 + (n-1) 4

an = 9/2 +4n -4

=> an = 1/2 + 4n

2.) d = 3

=> an = 10/3 + (n-1) 3

so, => an = 10/3 +3n -3

=> an = 1/3 +3n

3.) d = -0.2

=> an = 1/2 +(n-1) (-0.2)

=> an = 1/2 -0.2n +0.2

=> an= 0.7 -0.2n

what is 0.19/0.2 as a decimal

Answers

Answer:

There's 3 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

   1 9

×     2

+   3 8

=  3 8    Rewrite the product with 3 total decimal places.

Answer = 0.038

Therefore:

0.19 × 0.2 = 0.038

Step-by-step explanation:

can someone please help. im running low on points.

Answers

Answer:

i think it's:: -6 11/21

Answer:

-6 11/21

Step-by-step explanation:

Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.

How many more dollars will Amanda earn on each cake if she switches to the new material? Explain how you found your answer. (5 points)

Answers

Answer:

6

Step-by-step explanation:

Her profit will increase be 6 dollars.  

x = 1

y = 45(1)

y = 45  

The number of more dollars earned by Amanda if she switched to new icing will be $6.

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 Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.

The number of dollars will be calculated as,

y = 45x

For 1 cake the profit with new icing is,

y = $45

The more number in profit is calculated as,

P = 45 - 39

P = $6

Therefore, the number of more dollars earned by Amanda if she switched to new icing will be $6.

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Can someone answer this for me please all in slope intercept form!

Answers

1. y = [tex]\frac{1}{6}[/tex]x - 2

2. y = 2x + 5

3. y = -7x - 2

4. y = [tex]\frac{1}{2}[/tex]x + 7

5. y = -[tex]\frac{5}{3}[/tex]x - 9

6. y = -x + 5

7. y = -[tex]\frac{2}{7}[/tex]x - 1

8. y = 5x + 4

Marissa wants to blend candy selling for $1.80 per pound with candy costing $1.20 per pound to get a mixture that costs her $1.40 per pound to make. She wants to make 90 pounds of the candy blend. How many pounds of each type of candy should she use?

Answers

Answer: 30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

let ( x )represent the pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, • Total mix

= 1.80x + 1.20(90-x)

But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation

= 1.80x + 1.20(90 -x) = 1.40(90)

Simply the equation

= 1.80x + 108 - 1.20x = 126

= 0.60x + 108 = 126

0.60x = 126 - 108

0.60x = 18

divide both sides by 0.60

x = 30.

30 lb is the pounds of $1.80 candy

Substitute x into 90-x

90 - 30

= 60.

pounds of $1.20 candy Is 60 lb.

The x-coordinate of point S' after the rectangle is dilated by a scale factor of 4 about the orgin is?

Answers

Help me! I’ll mark you brainly!

Do you like cake ? Or cookies

Answers

Answer:

both

Step-by-step explanation:

Using the given points, determine the slope.

(5, -6) and (2, 15)

Answers

Answer:

slope = - 7

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, - 6) and (x₂, y₂ ) = (2, 15)

m = [tex]\frac{15+6}{2-5}[/tex] = [tex]\frac{21}{-3}[/tex] = - 7

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