How do you solve 4 x - 11 = 21

Answers

Answer 1
Answer: 4 x - 11 = 21 \n \n 4x =21+11\n \n4x = 32 \ \ /:4 \n \nx= (32)/(8) \n \nx=4


Answer 2
Answer: 4x - 11 = 21
4x = 21 + 11
4x = 32
x = 32 divided by 4
x = 8
Hope that helps! :)

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The area of ▱FGHI is 81 ft2. The area of ▱TUVW is 64 ft2. If ▱FGHI ∼ ▱TUVW, find the scale factor form ▱TUVW to ▱FGHI and the value of x.

Answers

Given that ▱FGHI and ▱TUVW are similar figures, the scale factor from ▱TUVW to ▱FGHI  is 8/9.

The value of x is 32.

What is the Area of Similar Figures?

  • If a and b are corresponding sides of two similar shapes with areas A and B respectively, the ratio of their areas is, a/b = a²/b² = A/B.
  • Scale factor = a/b.

Therefore, the scale factor from TUVW to FGHI would be:

√64/√81 = 8/9

Find the value of x:

x/36 = 8/9

x = 32

Thus, given that ▱FGHI and ▱TUVW are similar figures, the scale factor from ▱TUVW to ▱FGHI  is 8/9.

The value of x is 32.

Learn more about similar figures on:

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The tax rate as a percent, r, charged on an item can be determined using the formula 100( – 1) = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?

Answers

The question is asking us to calculate the final cost of the item after the tax is applied. The price of item before the tax is: P = $40 and the tax rate as a percent is 8%. It means that r = 0.08. And the formula is: C = P * ( 1 + r ). Finally: C = $40 * ( 1 + 0.08 ) = $40 * 1.08 = $43.20. Answer: The final cost is $43.20.

One centimeter = ________ millimeters.
A) 10
B) 0.10
C) 100
D) 0.01

Answers

Final Answer:

A) One centimeter = 10millimeters.

Explanation:

One centimeter is equal to 10 millimeters. This can be determined by using the conversion factor of 1 centimeter = 10 millimeters. To convert centimeters to millimeters, you simply multiply the value in centimeters by the conversion factor.

For example, if you have 5 centimeters, you can convert it to millimeters by multiplying 5 by 10, which equals 50 millimeters. Similarly, if you have 2 centimeters, you would multiply 2 by 10 to get 20 millimeters.

The conversion from centimeters to millimeters is straightforward and involves a simple multiplication by 10. This is because there are 10 millimeters in 1 centimeter. So, each centimeter is equivalent to 10 millimeters.

So,One centimeter = 10 millimeters.Therefore,the correct option is A.

In summary, the conversion from centimeters to millimeters is achieved by multiplying the value in centimeters by the conversion factor of 10. This results in the final answer of one centimeter being equal to 10 millimeters.

Learn more about centimeters
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Answer:

One centimeter = 10 millimeters.

The correct answer is A.

Angela bought gifts for her friends, and each gift costs 10$. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of the gifts she bought.

Answers

Answer:

Step-by-step explanation:

If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.

Let y represent the total cost and

x represent the number of gifts

According to direct variation]

y ∝ x

y = kx

k is the constant of proportionality

If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;

y = 10x

Hence the required relationship is y = 10x

At the post office, Karen mails three packages that weigh 7.2, 7.5, and 7.9 pounds. The post office that Karenuses rounds the weight of a package to the nearest pound to determine the price of shipment. It costs $3 to
mail a package that weighs 7 pounds and $3.75 for packages that weigh 8 pounds.
(a) How much did Karen pay to ship each package?
(b) Karen has $10.25 in her wallet in cash. Use subtraction to determine whether Karen has enough to
mail the three packages and how much extra money she has or needs.

Answers

rounding
7.2 to 7
7.5 to 8
7.9 to 8


7 and 8 and 8

3+3.75+3.75=10.50

she has 10.25
10.25-10.50=-0.25
she is 0.25 short

Three vertices of square WXYZ are W(1, 4), X(4, 0), and Y(0, –3). What are the coordinates of the fourth vertex?

Answers

Hello,

Z=(-3,1)
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