A rectangle has a length of 5 inches and a width of 7 1/2 inces. What is the perimeter of the rectangle?

Answers

Answer 1

Answer: 25 inches, it is a rectangle so it is 5x2 + 7 1/2x2

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The sum of 5x and 2x is at least 14

Answers

5x + 2x >= 14

hope it helps

Solve the following: -3x + 7(x + 5) = 5x + 38

please explain!

Answers

Answer: -3

Step-by-step explanation:

-3x+ 7x+ 35= 5x + 38

You solve the distributive property on the left side and set it equal to the right

4x+35= 5x+38

-4x -4x

35= x+38

-38 -38

X=-3

If f(x)=5x+4, which of the following is the inverse of f(x)?

Answers

$Solution,\mathrm{Inverse\:of}\:5x+4:\quad (x-4)/(5)$

$Steps:$

$y=5x+4$

$\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4$

$(\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)$

$\mathrm{Switch\:sides}, 5y+4=x$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4$

$\mathrm{Simplify}, 5y=x-4$

$\mathrm{Divide\:both\:sides\:by\:}5, (5y)/(5)=(x)/(5)-(4)/(5)$

$\mathrm{Simplify}, y=(x-4)/(5)$

$\mathrm{The\:Correct\:Answer\:is\:(x-4)/(5)}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

The winner of a raffle will receive 3/4 of the money raised from raffle ticket sales. The raffle raised $530.40. How much money will the winner of the raffle get

Answers

Convert (3/4) into a decimal which is .75 (75%). Then multiply the decimal to the total amount of $530.40 which yields $397.80.
In other words 75% of the total $530.40 is given to the winner which is $397.80.

Final answer:

The raffle winner will receive $397.80. This is found by multiplying the total money raised ($530.40) by the fraction of the money the winner will receive (3/4).

Explanation:

To find out how much money the winner of the raffle will get, you need to multiply the total amount of money raised by the fraction of the money that the winner will receive. The fraction given in this scenario is 3/4.

To solve this, you can follow these steps:

Determine the total money raised. Here, the total money raised was $530.40.
Multiply the total amount raised by the fraction the winner will receive. In this case, $530.40 is multiplied by 3/4.
Complete the multiplication. The answer is the amount the raffle winner will get.

So, $530.40 * 3/4 = $397.80

Therefore, the raffle winner will receive $397.80.

Learn more about fraction multiplication here:

brainly.com/question/23715562

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At another theater, workers have to cut a new trap door. The door can be no more thn 130 square feet in area, with whole-numbers side lenghts. They have to bring in three items to the stage.The first item is six feet, 5 inches wide and 8 feet, nine inches long. The second item is 13 feet, 4 inches wide, and 7 feet,8 inches long. The third item is 5 feet, 6 inches wide and 12 feet, 4 inches long. What size of trap door would you recommend?What is the perimeter of your trap door?

Answers

Given:
trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches

130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches

Which is the fractional portion of the solution to 5 3/8 + 2 3/12

Answers

First we need to find the common denominator for 8 and 12.

8 = 8, 16, 24

12 = 12, 24

So we have 24 as our common denominator.

5 3/8 = 5 9/24

2 3/12 = 3 6/24 now we can add.

8 15/24

So that would be your answer 8 15/24

Hope this helps you. :-)

( 5 + 2 ) + ( 3 / 8 + 3 / 12 ) = 7 + ( 9 / 24 + 6 / 24 ) = 7 + 15 / 24 = 7 + 5 / 8 = 7 5/8;
The fractional portion is 5 / 8 = 0.4

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