3 years ago

What is the simplified version of (9/2 x - 2) - (3/2 x + 1)

Mathematics

1 answer:

____ [38]3 years ago

4 0

The simplified answer is 3x–3

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It takes Ms. Campbell 5 times as long as it takes Ms. Dorsey to paint a room. If Ms. Dorsey

Aliun [14]

Answer:

Dorsey = 4.8 hours

Campbell = 24 hours

Step-by-step explanation:

It takes "x" hours for Dorsey

So, it will take 5 times more for Campbell, so

It takes "5x" hours for Campbell

Rate is inverse of time, so rates are:

Dorsey: 1/x

Campbell: 1/5x

We know Rate * Time = Work

When together, it takes 4 hours to finish a work, so we can write:

$(\frac{1}{x}+\frac{1}{5x})4=1$

Solving for x, we get the time of Dorsey:

$(\frac{1}{x}+\frac{1}{5x})4=1\\(\frac{1}{x}+\frac{1}{5x})=\frac{1}{4}\\\frac{5+1}{5x}=\frac{1}{4}\\\frac{6}{5x}=\frac{1}{4}\\5x=24\\x=4.8$

Dorsey takes 4.8 hours alone

Campbell takes 4.8 * 5 = 24 hours alone

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3 years ago

Write in point-slope form an equation of the line that passes through the point (1, 4) with slope -2.

Elan Coil [88]

Answer:

y-4=-2(x-1)

Step-by-step explanation:

hope this helped :)

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3 years ago

Isolate the variable x to solve the inequality. x +5>10

Natalka [10]

Answer:

$\boxed{\ x>5 \ }$

Step-by-step explanation:

x+5 > 10

<=>

x+5-5 > 10-5

<=>

x > 5

hope this helps

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3 years ago

A gym employee earns the same amount each month. After working for three months, he earned $4,500. Complete the table to determi

Eddi Din [679]

Answer:

Each month he earn $1,500 a month because $4,500 divided by 3 is $1,500. So in 5 months he will make $7,500. On the 7th month he will have $10,500.

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3 years ago

What is the volume of the cone if the base is 18 and the height is 22

jarptica [38.1K]

Answer:

7464.42

Step-by-step explanation:

looked it up

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3 years ago