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Fittoniya [83]
4 years ago
13

How do you solve -2/3x + 5 = 20 - x

Mathematics
1 answer:
Monica [59]4 years ago
8 0

-2/3x + 5 = 20 - x

subtract 5 from each side

-2/3 x = 15 -x

add x to each side

-2/3 x +x = 15

get a common denominator of 3 for the x terms

-2/3x + 3/3 x =15

combine like terms

1/3 x = 15

multiply by 3 on each side

x = 45

Answer: x=45

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ivolga24 [154]

Answer:

5/6

Step-by-step explanation:

5 0
4 years ago
Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for
MAXImum [283]

72 minutes

We require their hourly rate of work

Maria cleans \frac{1}{2} the house in 1 hour

Sasha cleans \frac{1}{3} of the house in 1 hour

let x be the time it takes both to clean the house

\frac{1}{2} + \frac{1}{3} = \frac{1}{x}

multiply through by 6x

3x + 2x = 6

5x = 6 ⇒ x = \frac{6}{5}

Together they can clean the house in 72 minutes






6 0
3 years ago
Sometimes Zach's teammates arrive late to basketball practice. The following dot plot shows how many times each teammate was lat
liraira [26]

Answer:

<em>14</em>

Step-by-step explanation:

<em>The answer is 14 because it shows one on 2 and 3 on 4. You add 4 + 4 + 4 which equals 12 then you add 12 + 4 which equals 14. Therefore, the answer will be 14.</em>

8 0
3 years ago
Read 3 more answers
Alexis is designing a storage chest shaped like a rectangular prism. The storage chest is 6 feet long 2 feet wide and 3 feet hig
melamori03 [73]

Answer:

72

Step-by-step explanation:

SA Formula = 2(L x W) + 2(L x H) + 2(W x H)

2(6x2) + 2(6x3) + 2(2x3)

2(12) + 2(18) + 2(6)

24 + 36 + 12

The answer would be 72 ft sqaured

8 0
3 years ago
Factor out completely: 4a^2c^2-(a^2-b^2 c^2)^2
Alex17521 [72]

The expression 4a^2c^2 - (a^2-b^2+c^2)^2 has to be factored.

4a^2c^2 - (a^2 - b^2 + c^2)^2

=> (2ac)^2 - (a^2 - b^2 + c^2)^2

=> (2ac - a^2 + b^2 - c^2)(2ac + a^2 - b^2 + c^2)

=> (b^2 - (a^2 - 2ac + c^2))((a^2 + 2ac + c^2) - b^2)

=> (b^2 - (a - c)^2)((a + c)^2 - b^2)

=> (b - a + c)(b + a - c)(a + b + c)(a - b + c)
<span>
The factorized form of 4a^2c^2 - (a^2-b^2+c^2)^2 is (b - a + c)(b + a - c)(a + b + c)(a - b + c)</span>

6 0
4 years ago
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