A rectangular closet has a perimeter of 10 feet. If the width of the closet is 3 feet what is the length of the closet?

Answers

Answer 1

Answer: The perimeter is equal to 2 * width + 2 * length.
We are provided that the width is 3 feet and the perimeter is 10 feet. So,
2 * 3 + 2 * length = 10
6 + 2 * length = 10
2 * length = 4
length = 2

Answer 2

Answer: The answer is 2 because if 2 sides are 3, then you add 3+3 which is 6. Then you think what plus 6 equals 10 which is 4. Finally, you have to take 4 and split it in half which is 2. Your answer is 2.

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solve the equation for x. show each step of the solution. name the justification for each step of the solution 9/2 (8-x) +36=102-5/2(3x+24)

Answers

1. You have the following equation:

$(9)/(2)(8-x)+36=102-(5)/(2) (3x+24)$

2. First, you must apply the Distributive property:

$(72)/(2)-(9x)/(2)+36=102-(15x)/(2)-(120)/(2)$

3. Simplify:

$36}-(9x)/(2)+36=102-(15x)/(2)-60$

3. Add the like terms:

$-(9x)/(2)+(15x)/(2)=102-60-36-36\n 3x=-30$

4. Solve for $x$ :

$x=-(30)/(3) \n x=-10$

Therefore, the answer is: $x=-10$

What is the whole to which a percent is compared?

Answers

The whole to which a percent is compared is 100. This is evident in both the name, and the method of calculation of percentages. The name, is broken to "per" and "cent" meaning every 100. Also, when we calculate percentages, we find the ratio of the given amount to the total amount. If we don't multiply by 100, we see that this ratio is compared to the ratio of the percentage to 100.

The price of dress fabric is proportional to the length of fabric purchased. The graph shows this relationship.What is the unit rate for the situation?

A.
dollar/m

B.
$3/m

C.
$8/m

D.
$24/m

Answers

C. $8/1 m
the y axis (going up) is price.the x axis (going to the left) is the length.
the 1st point is the unit rate. 1 meter is $8, 2 meters is $16. 3 meters is $24...and so on.
the unit rate wont work with all graphs this is a lucky problem. reading this graph is still the same tho.

C. 8$/m. The rate is the same as the slope. To find the slope, we find "rise over run," or the change in the height/change in length (OR, change y/ change x)
The change in y is 24-8=16
The change in x is 3-1=2

16/2= 8$/1 m. This is the unit rate because it describes the change in y over ONE UNIT of x.

What is the result of adding -2.9+6.8 and 4.4 - 7.3

Answers

1.5a - 0.5, or D. Use a calculator if it helps.

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 3636 ducks for $532. How much does a chicken cost, and how much does a duck cost?

Answers

Answer:

chickens cost $8

ducks cost $5

Step-by-step explanation:

c= chicken cost

d =duck cost

50c + 30 d = 550

44c + 36d = 532

divide the first equation by 10

5c + 3d = 55

multiply it by -12

-60c -36c = -660

now add the modified first equation to the second equation

-60c -36c = -660

44c + 36d = 532

-------------------------

-16c = -128

divide by -16

c = 8

a chicken costs $8

now lets find d

5c+3d = 55

5*8 + 3d = 55

40 + 3d = 55

subtract 40 from each side

3d = 15

divide by 3

d = 5

0.2(d − 6) = 0.3d + 5 − 3 + 0.1d. Help needed

Answers

$\text{Solve for d}\n\n0.2(d − 6) = 0.3d + 5 − 3 + 0.1d\n\n\text{Combine like terms:}\n\n0.2(d - 6) = 0.4d + 2\n\n\text{Use the distributive property:}\n\n0.2(d - 6) = 0.4d + 2\n\n0.2d-1.2=0.4d+2\n\n\text{Subtract 0.4d from both sides}\n\n-0.2d-1.2=2\n\n\text{Add 1.2 to both sides}\n\n-0.2d=3.2\n\n\text{Divide both sides by -0.2}\n\n\boxed{d=-16}$

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