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forsale [732]
3 years ago
13

Mia climbs 5/8 of the height of the rock wall. Lee climbs 4/5 of Mia's distance. What fraction of the wall does Lee climb?

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0
The answer is 7/40. To solve, you have to find the LCM (least common denominator) for 5/8 and 4/5. 5/8= 25/40 and 4/5= 32/40. Subtract and you get 7/40. That is your answer.
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Write an equivalent expression for 4.5x(2 - 6)
ki77a [65]

4.5x(2 - 6) \\  \\ 1. \: 4.5x \times  - 4 \\ 2. \:  =  - 18x

5 0
2 years ago
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Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
1 year ago
14 1/2 - 2 1/3 what is the answer to this equation?
olchik [2.2K]

Answer:

12 1/6

It wants me to add more but there's nothing to add

7 0
2 years ago
If p-4(p-2(3-p))=12 solve for p
stira [4]
P-4(p-2(3-p))=12 remove the parentheses

P-4(p-6+2p)=12 collect like terms

P-4(3p-6)=12 remove the parentheses

P-12p+24=12 collect like terms

-11p+24=12 move the constant to the right

-11p=12-24 calculate

-11p=-12 divide both sides

P=12/11


Alternative form

P=1 1/11
8 0
2 years ago
-3(5x + 7) + 2x – 3 = 5.x - 8 - 13​
ratelena [41]

Answer:

x=-7

Step-by-step explanation:

Simplifying

3(x + -2) = 5x + 8

Reorder the terms:

3(-2 + x) = 5x + 8

(-2 * 3 + x * 3) = 5x + 8

(-6 + 3x) = 5x + 8

Reorder the terms:

-6 + 3x = 8 + 5x

Solving

-6 + 3x = 8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-6 + 3x + -5x = 8 + 5x + -5x

Combine like terms: 3x + -5x = -2x  

-6 + -2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0

-6 + -2x = 8 + 0

-6 + -2x = 8

Add '6' to each side of the equation.

-6 + 6 + -2x = 8 + 6

Combine like terms: -6 + 6 = 0

0 + -2x = 8 + 6

-2x = 8 + 6

Combine like terms: 8 + 6 = 14

-2x = 14

Divide each side by '-2'.

x = -7

Simplifying

x = -7

8 0
3 years ago
Read 2 more answers
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