MATHEMATICS MIDDLE SCHOOL

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 1

Answer:

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 2

Answer:

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.

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How do you simplify 20/36
A number equivalent to 63.24
Last year. Betsy sold oranges at $7 per crate. This year there was a bumper harvest, so she dropped the priceby 12%. What is the new sale price of a crate of oranges?

If a carpenter has ⅜ a piece of wood and wants to cut it into 1/16 pieces to make shelves. How many shelves can he make?

Answers

Answer:

6 shelves

Step-by-step explanation:

3/8 = 6/16

6/16 divided by 1/16

Answer:

The carpenter can make 6 shelves.

Step-by-step explanation:

3/8 ÷ 1/16.

Turn multiplication sign to division sign.

Flip 1/16 to 16.

3/8 x 16 = 48/8 = 6.

Hope this helped.

I can't figure out 3/30 is in a percentage decimal or fraction please help me!!

Answers

If I am correct I do think the answer is 0.10 in decimal, in percentage it is 10% and fraction is 1 out of 30 I am not 100% sure so it would be better to double check

3/30 is a fraction. Mainly becayse it has this / between the numbers.

I need help with this

Answers

Answer:

Option B

Option C

Step-by-step explanation:

$x^(2) +2x=4$

we need to divide the coefficient of x by half since it is required for completing square, this term is added and subtracted at the same time to keep the equation intact, so we have

$x^(2) +2x+1-1=4$

later we have

$(x+1)^(2) -1=4$

$(x+1)^(2)= 4+1$

$(x+1)^(2) = 5$

$\sqrt{(x+1)^(2)} =√(5)$

we know

$\sqrt[2]{a^(2)} = abs (a)$

$abs(x+1)=√(5)$

we have

$x+1=√(5)$

$x+1= -√(5)$

so we have

$x=√(5)-1$

$x=-√(5)-1$

finally

$x=+- √(5)-1$

The second is obtained by summing the two given equations

f(x)=8x-10

g(x)=3x+5

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

f(x)+g(x)=11x-5

The length of 2 legs of a right triangle measure 5 meters snd 3 meters The length of the hypotenuse if √34 ( sqaure root of 34 ) meters. Approximate the length of the hypotenuse to the nearest thousandth of a meter.

Answers

Answer:5.830

Step-by-step explanation:

You just do √34 which is 5.830 because the legs are 5^2 which is 25 and 3^2 which is 9 and 25+9=34.

How many months is 0.75 of a year

Answers

9 months, you just multiply .75 by 12.

$0.75\ of\ a\ year= (3)/(4) \cdot12\ months =9\ months$

What is the solution to 2 In x = 4 In 2?
x =
DONE

Answers

Answer:

x =4

Step-by-step explanation:

2 ln x = 4 ln 2

Divide each side by 2

2/2 In x = 4/2 In 2

ln x = 2 ln 2

Remember that a ln b = ln b^a

ln x = ln 2^2

ln x = ln 4

We are taking the natural log on both sides so , what we are taking the natural log of must be the same

x =4

Answer:

Step-by-step explanation:

Use the property of logarithms $n\ln x = \ln x^n$ . (The number in front of ln becomes an exponent--or vice versa!)

Using that property on both sides, you get

$ln(x^2) = ln(2^4)$

But that means

$x^2=4^2\nx^2=16\nx=4$

Notice that $x=-4$ is not a solution because $\ln(-4)$ is undefined. Negative numbers do not have logarithms. The domain of $\ln x$ is the set of positive numbers.

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