MATHEMATICS MIDDLE SCHOOL

Eighteen increased by x

Answers

Answer 1

Answer:

Answer:

Answer is 18x

Answer 2

Answer:

Answer:

18 + x

Step-by-step explanation:

Eighteen increased by x

18 increased by x means

that x is added to 18

= 18 + x

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How do you write a decimal as a percent

Answers

Take the decimal, and move the decimal point two places that way ===> .

if u have .456 u move the decimal back two spaces so it becomes 45.6%

Tracy needs to find the length and width of the equipment storage room where she works. The room is 2 meters longer than it is wide. Its perimeter is 16 meters.What is the width in meters?

Answers

Answer:

3 meters

Step-by-step explanation:

We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.

We know it's a rectangle and not a square because it is longer than wide.

We have the perimeter measurement (16 meters).

So, we can make the following equation:

2x + 2y = 16

x being the width of the room, y being it's length. A perimeter is the sum of all sides.

We also know the room is 2 meters longer than wide... so:

y = x + 2

If we replace y in the first equation by its value relative to x, we get:

2x + 2(x + 2) = 16 which becomes

2x + 2x + 4 = 16

4x =12

thus x = 3

Width: 3 meters

Length: 5 meters.

Confirms the 16 meters perimeter.

Answer:

Width = 3 meters

Step-by-step explanation:

We are given that for an equipment storage room, it is 2 meters longer than its width and the perimeter of this room is 16 meters.

Given the above information, we are to find the width of the room.

Perimeter = $2l+2w$

Supposing $x$ to be the width and $x+2$ to the length, we can write it as:

$16=2(x)+2(x+2)$

$16=2x+2x+4$

$12=4x$

$x=(12)/(4)$

x = 3

Therefore, the width = 3 meters.

HELP!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is 20.

Step-by-step explanation:

Find the inverse of the following function.

Answers

$y = \sqrt[3]{x + 12} \n {y}^(3) = x + 12 \n {y}^(3) - 12 = x \n$
The answer is x = y^3 - 12

The height of a rectangular prism is found by dividing volume, V, by the base area, B. If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height? 3x + 5 – 3x – 7 + 3x + 5 + 3x – 7 –

Answers

Answer:

$(3x+5)+(28)/(2x-4)$

Step-by-step explanation:

Since,

The volume of a rectangular prism = Base area × Height,

Given,

Volume of the rectangular prism = $6x^2-2x+8$

Base area = 2x - 4

Let h be the height,

$\implies 6x^2-2x+8=(2x-4)h$

$\implies h = (6x^2-2x+8)/(2x-4)$

By long division ( shown below ),

$h=(3x+5)+(28)/(2x-4)$

Which is the required expression that represents the height.

Answer:

$(3x+5) + (14)/(x-2)$

Step-by-step explanation:

We are given the following information in the question:

Volume of rectangular prism =

$6x^2 - 2x + 8$

Area of base of prism =

$2x -4$

Formula:

$\text{Volume of Prism} = \text{Area of base}* \text{Height of prism}\n\n\text{Height of prism} = \displaystyle\frac{\text{Volume of Prism} }{\text{Area of base}}$

Putting the values we, get,

$\text{Height of prism} = \displaystyle(6x^2 - 2x +8)/(2x-4) = (2(3x^2-x+4))/(2(x-2))= (3x+5) + (14)/(x-2)$

Hence, the height of the prism is given by the expression $(3x+5) + (14)/(x-2)$

You can now 800 square feet of lawn in 15 minutes at this rate how many minutes will it take you to mow a lawn that measures 6000 square feet? Part A write a proportion to represent the problem. Use M to represent the number of minutes. Explain your reasoning.

Part B solve the proportion you wrote in part A. Then use it to answer the problem. Show your work.

Answers

ok so assuming you don't get tired and the rate stays the same
rate=amountwork/timeitdonein

rate=800/15

euals
6000/time

800/15=6000/time
simlify for ease
160/3=6000/time
multiply both sides by 3time
160time=18000
divide both sides by 160
time=112.5

means 112.5 minutes or 1hour, 52 minutes, 30 seconds

A. 800/15=6000/t or
15/800=t/6000

B. solved, 112.5 minutes

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