Solve the system of linear equations by substitution -5x+6y=-11 6y=x+5

Answer:

12

Step-by-step explanation:

The measure of each interior angle is [tex]\frac{180(8-2)}{8}=135^{\circ}[/tex].

[tex]\implies 135=9x+27 \\ \\ 15=x+3 \\ \\ x=12[/tex]

Answer:

  1180 cm³

Step-by-step explanation:

You want the volume of a prism with an L-shaped base. It is 20 cm between bases. The outside dimensions of the L are 7 cm high by 11 cm wide; the inside dimensions are 3 cm high by 6 cm wide.

The formula for the volume of a prism is ...

  V = Bh

where B is the area of the base, and h is the distance between them. We know h, but we need to find B.

The area of an L-shape is the area of the rectangle with the outside dimensions, less the area of the rectangle with the inside dimensions.

  A = LW -lw

  A = (11 cm)(7 cm) -(6 cm)(3 cm) = 77 cm² -18 cm² = 59 cm²

Using the above formula, the volume is ...

  V = (59 cm²)(20 cm) = 1180 cm³

The volume of the prism is 1180 cubic centimeters.

__

Additional comment

The dimensions of the inside of the L are found by subtracting the given width of the legs from the outside dimensions.

 7 cm -4 cm = 3 cm . . . . inside height

  11 cm -5 cm = 6 cm . . . . inside width

You can also find the area of the base by extending one or the other of the lines to divide it into two rectangles. Extending the vertical line makes the left rectangle 7 cm high by 5 cm wide. The right rectangle is 4 cm high by 6 cm wide. Then the area is 7·5 +4·6 = 35+24 = 59, as above.

The probability of landing on a 5 and then landing on an even number is 8.3%.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The number of 5 on the dice is one.

Probability is the ratio of the number of favorable outcome to the total number of outcome.

The number of faces of dice is 6.

The probability of getting 5 is 1/6.

The even faces on the dice are 2, 4, 6.

The number of even number faces is 3.

The probability of getting even number is 3/6 = 1/2.

The probability of two independent event is the product of the probability of the events.

Therefore, the probability is (1/6) × (1/2)

                                              = 1/12

                                               = 0.083

                                              = 8.3%

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Answer:

Step-by-step explanation:

To prove this statement, we can use the contrapositive. The contrapositive of the statement "If a + b > 100, then a, b, or both must be greater than 50" is "If a and b are both less than or equal to 50, then a + b is less than or equal to 100."

To prove the contrapositive, we must show that if a and b are both less than or equal to 50, then a + b is indeed less than or equal to 100. This is easy to do, because if a and b are both less than or equal to 50, then the largest possible value for a is 50 and the largest possible value for b is 50. Therefore, the largest possible value for a + b is 50 + 50, which is equal to 100.

Since the contrapositive is true, it follows that the original statement must also be true. Therefore, we have proven that if a + b > 100, then a, b, or both must be greater than 50.

Answer: The number is 12

Step-by-step explanation:

Let x= the number that is unknown

The sum of three and a "number"= 3+"x"

Divided by three, means that x+3 is divided by 3

Is five, means that (x+3)/3=5

Algebra:

[tex]\frac{x+3}{3}=5[/tex]

Multiply by 3 to arrive at x+3=15

Subtract both sides by 3, then x=12

Answer:

Unless these took place in different time periods, Laticia did first.

Step-by-step explanation:

28.7 < 42.7

Answer:

Step-by-step explanation:

P = F/a

Pa = F

a = F/P

Answer:

a = [tex]\frac{F}{p}[/tex]

Step-by-step explanation:

P =[tex]\frac{F}{a}[/tex]  multiple both sides by a

aP = [tex]\frac{F}{a}[/tex] [tex]\frac{a}{1}[/tex]  On the right side of the equal sign, the a's cancel each other out

aP = F  Divide both sides by P

[tex]\frac{aP}{P}[/tex] = [tex]\frac{F}{P}[/tex]  The P's cancel out on the left side of the equal sign.

a = [tex]\frac{F}{P}[/tex]

Angle ∠IKJ is 29.5 degrees for triangle IKJ.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle is IKJ.

The angles are given as follow.

∠JIK = 53°,

∠IKJ = (82-5x), and

∠KJI = (7x+24)°.

We need to find the angle ∠IKJ .

By angle sum property of triangle, the sum of three angles is 180 degrees.

∠JIK+∠IKJ+∠KJI = 180

Fifty three plus eighty two minus five times of x plus seven times of x plus twenty four equal to one hundred and eighty.

53+82-5x+7x+24=180

Add the like terms

159+2x=180

One hundred fifty nine plus two times of x equal to one hundred eighty.

subtract 159 on both sides

2x=21

Divide both sides by 2.

x=10.5

So ∠IKJ is 82-5(10.5)=29.5 degrees.

Hence, the value of angle ∠IKJ is 29.5 degrees.

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Answer:

the percent being discounted is 25% and the flat booking fee is 15

Step-by-step explanation:

t is the cost of the ticket.  -.25t is the 25% coupon being taken off.  The 15 is the booking fee.

[tex]\cfrac{2}{3}-\cfrac{5}{12}\implies \cfrac{(4)2~~ - ~~(1)5}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{8~~ - ~~5}{12}\implies \cfrac{3}{12}\implies \cfrac{3\cdot 1}{3\cdot 4}\implies \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{4}{5}+\cfrac{11}{12}\implies \cfrac{(12)4~~ + ~~(5)11}{\underset{\textit{using this LCD}}{60}}\implies \cfrac{48~~ + ~~55}{60}\implies \cfrac{103}{60}\implies 1\frac{43}{60}[/tex]

Answer:

11

Step-by-step explanation:

-5 + 8 x 2

Do multiplication first because PEMDAS -5 + 16

Then add: 11

Answer:

11

Step-by-step explanation:

8x2 = 16
-5+16 = 11

If you do a question like this always use PEMDAS. Do it in order.

P arenthesis

E exponents

M ultiplcation

D ivision

A ddition

S ubtraction

There are 1024 ways to answer the 5 multiple choice question having 4 options

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. A permutation is a term that describes the variety of possible arrangements or orders of objects.

We have 5 multiple choice questions.

And we are given four options to solve the question

Repeating is permitted (you can answer "c" on all of the questions if you want to)

So ,

We will use permutation to solve the question

[tex]n^{r}[/tex]

r is number of questions = 5

n is number of choices = 4

[tex]4^{5}[/tex] = 4×4×4×4×4 = 1024

There are 1024 ways to answer the 5 multiple choice question having 4 options

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Using the the Distributive Property to express 64 + 24 is 88.

This property states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

When you multiply a value by a sum, the distributive property of multiplication over addition is used. For instance, suppose you want to multiply 5 by the sum of 10 + 3. When we have similar terms, we usually add the numbers first and then multiply by 5. 5(10 + 3) = 5(13) = 65.

In this case, 64 + 24 will be;

= 8(8 + 3)

= 88

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Answer:

x/78 = 55/100

Step-by-step explanation:

Answer: Yes it does, it is -125x to the power of 3.

Step-by-step explanation:

Answer:MONKEY

Step-by-step explanation:

CAUSE I SAID DO

When x²-3x-2 is divided by x-7, the remainder is 26, and the quotient is x+4.

Sums of terms of the form k-x^n, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here

f(x)=x²-3x-2

divisor=x-7

When x²-3x-2 is divided by x-7,

The quotient is x+4.

The remainder is 26.

The remainder will be 26 when x²-3x-2 is divided by x-7 and the quotient will be x+4.

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Answer: 4

Step-by-step explanation:

This is Peter equation 5x − 4 = 16

This is Andres equation 20x − 16 = 64

To get from Andres's equation, you multiply every number in Peter's equation by 4

5x times 4 = 20x

-4 times 4 = -16

16 times 4 = 64

If you can, please give me a Brainliest; thank you!

Answer:

4

Step-by-step explanation:

So if you look closely at the equations, you will find out that Andres equation is the same as Peter but 4 times bigger

5x-4=16

20x-16=64

20x-16=64/5x-4=16

= 4

Now let's check

4(5x-4)=4(16)

Therefore, 4 is the answer.

Andres equation is 4 times as big as Peter (but it has the same result)

Please, give me the brainliest if you can

Option A) Buying a laptop will be most affordable among all the options as per the Selling price with Sales tax included.

The selling price is the price at which a thing is sold. Typically, it is identified as SP. also known as a selling price on occasion.

Shop owners essentially mark this as a promotional item to give discounts to customers in a way that,

When a product is sold to a buyer, the government levies sales tax (abbreviated as ST). This tax will be collected by the merchant and paid to the government. As a result, it is added to the bill after being charged on the item's selling price.

For Laptop,

Selling Price = (100-40)% of 2399.99

                     = 60% of 2399.99 = $ 1439.99

Total bill = 1439.99 + 8.2% of 1439.99

              = 1439.99 + 118.08 = $ 1558.07

For Smart TV,

Selling Price = (100-10)% of 1799.99

                     = 90% 0f 1799.99 = $ 1619.99

Total bill = 1619.99 + 4.5% of 1619.99

               = 1619.99 + 72.9 = $ 1692.89

For Iphone,

Selling Price = (100-5)% of 1699.99

                     = 95% 0f 1699.99 = $ 1614.99

Total bill = 1614.99 + 6.8% of 1614.99

               = 1614.99 + 109.82 = $ 1724.81

For GeForce RTX 3090 Graphics Card,

Selling Price = 2199.99 - 500 = $ 1699.99

Total bill = 1699.99 + 7.5% of 1699.99

               = 1699.99 + 127.5 = $ 1827.49

Total bill

Graphics Card > Iphone > Smart TV> Laptop.

Option A) Buying a laptop will be most affordable among all the options.

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 150\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years \end{cases} \\\\\\ 150 = (600)(0.05)(t) \implies \cfrac{150}{(600)(0.05)}=t\implies 5=t[/tex]

Answer:

Jordan

Step-by-step explanation:

The composite number was 21.

21 can be divided by 3 and 7.

Answer: Jordan.

Step-by-step explanation:

Prime numbers are special numbers that have no divisors other than itself and [tex]1[/tex]. Prime numbers are observed in the lists created by the students.

Compound numbers are numbers that can be written as the product of at least two prime numbers. When we look at Jordan's list, we will see that the number [tex]21[/tex] breaks this rule. Because the number [tex]21[/tex] is the product of both prime numbers [tex]3[/tex] and [tex]7[/tex]. It is not a prime number. It is a composite number.

Sampling technique is the easiest to use here is systematic sampling.

Given :

if an analyst is studying the wait times at a clinic and the only list of patients available is on hard copy .

The sampling technique in this scenario is used is systematic sampling.

Systematic sampling :

Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval.

k = N/n

where

k = systematic sampling interval

N = population size

n = sample size.

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There is ONLY ONE __ line parallel to the provided line that passes through a certain point that is not contained in the supplied line.

Parallel lines are any two or more lines that are in the same plane but never cross one another ( never intersect). Both have the same slope and are equally far from one another.

We have a line and a point outside the line;

from that point, we can generate many lines, but only one of those lines will be parallel to the line as it is. From a point, we can make many lines, but that point can only create one line that will be parallel to a given line.

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The solution to the linear equation 3(x + 5) = 1/9 is

x = -4 26/27.

The correct answer is option D; None of these choices are correct.

3(x + 5) = 1/9

open parenthesis

3x + 15 = 1/9

Substract 15 from both sides

3x = 1/9 - 15

3x = (1-135)/ 9

3x = -134/9

divide both sides by 3

x = -134/9 ÷ 3

Multiply by the reciprocal of 3

x = -134/9 × 1/3

= -134/27

x = -4 26/27

Therefore, -4 26/27 is the solution that satisfies the equation 3(x + 5) = 1/9

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f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.

For a function f:X—>Y, its inverse f^{-1}:Y—>X  admits an explicit description,

it sends each element y∈Y to the special element x∈X

such that, f(x)=y.

Hence, f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.

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An Exponential Function that can depict this situation is [tex]A(t) = 25000(0.94)^{t}[/tex]

What is an Exponential Function?

An exponential function is a mathematical function of the following form: [tex]f(x)=a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y=a(1-r)^{x}[/tex] wherein y is the final amount, a is the original amount, r is the decay factor, and x(or t) is the amount of time that has passed.

Given :

The initial amount is 25,000, and the rate of decay is 6%, or 0.06.

Write the exponential Decreasing function.

[tex]A(t) = a(1-r)^{t}[/tex]

Substitute 25,000 for a and 0.06 for r.

[tex]A(t)=25,000(1-0.06)^{t} = 25,000(0.94)^{t}[/tex]

Hence , the Situation can be represented by [tex]A(t) = 25000(0.94)^{t}[/tex]

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Answer:

(x²-2) (5x³-3)

Step-by-step explanation:

rearrange terms

5x⁵-10x³-3x²+6

find one factor

(x²-2) (5x³-3)

Answer:

104.5 min

Step-by-step explanation:

47.5:5=x:11

1. Simplify

9.5:1=x:11

2.Solve

x=104.5

People in my family ordered 1 chicken dinner and 5 steak dinner.

There are total 6 peoples in a family.

Let's x number of people order chicken dinner

and y number of people order steak dinner.

Here we have to use concept of linear equation.

we have to make 2 linear equation and solve them to get the value.

sum of number of people is 6.

[tex]x + y = 6[/tex] --- i

total bill came to $99.

1 chicken dinner takes $14.

So x chicken dinners takes x*14

1 steak dinner takes $17.

So y steak dinners takes y*17.

Sum of both dinners price

[tex]x*14+y*17 = 99[/tex] -- ii

From equation i x = 6 - y.

put value of x in equation ii.

(6-y)*14+y*17 = 99

84-14*y+17*y = 99

3*y = 99-84

3*y = 15

y = 5

x = 6-5 = 1.

So 1 people ordered chicken dinner and 5 people ordered steak dinner.

Given Question is incomplete Complete Question here

Your family goes to a southern style restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill was $99 l, how many people ordered each dinner?

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The value of CPI will be 178.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Now,

Since, In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Hence, The value of CPI will be;

CPI = 118.10 × 100 / 66.35

      = 11810 / 66.35

       = 178

Thus, The value of CPI will be 178.

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Answer:

36%

Step-by-step explanation:

People with size 7 shoes = 5

People with size 7½ = 7

People with size 8 = 9

People with size 8½ = 3

People with size 9 = 1

To find out the total, you have to add all the people up:

5 + 7 + 9 + 3 + 1 = 25

The total amount of students = 25

Since you're trying to find the percentage of students who have a shoe size of 8, you have to look at how many people have that size:

People with size 8 = 9

To find out the percentage you do:

9/25 × 100 = 36%

Therefore 36% of students have a shoe size of 8

:)