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skelet666 [1.2K]
2 years ago
13

-3x + 2c = -3, solve for x

Mathematics
1 answer:
xxMikexx [17]2 years ago
6 0

Answer:

x=2c/3+1

Step-by-step explanation:

Subtract 2c from both sides.

−3x=−3−2c

The equation is in standard form.

−3x=−2c−3

Divide both sides by −3.

-3x/-3=-2c-3/-3

Dividing by −3 undoes the multiplication by −3.

x=-2c-3/-3

Divide −3−2c by −3.

x=2c/3+1

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a driver travels 2 hours at 60 miles per hour ,during which her car gets 30 miles per gallon of gasoline.she is paid $0.50 per m
Sever21 [200]

Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

Her  car runs at the rate of 30 miles per gallon of gasoline.

She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

To find her net rate of pay in dollars  per hour.

Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

<em>So, for 60 miles she will be paid = </em>60\times \$0.50 = \$30<em />

<em />

In a gallon of gasoline the car travels = 30 miles

<em>So, to travel 60 miles, the car would require = </em>\frac{60}{30}= 2<em> gallons of gasoline</em>

1 gallon of gasoline cost = $2.00

<em>Expenses for 2 gallons of gasoline = </em>2\times \$2.00=\$4<em />

<em />

So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.

Thus, her net rate of pay in dollars per hour after the expense = \$30-\$4=\$26

8 0
2 years ago
Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours. How many hour
Deffense [45]

Answer:

12 hours

Step-by-step explanation:

Let Theo's siste can paint a fence in x times

Given.

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.

\frac{1}{x}+\frac{1}{3x} =\frac{1}{9}\\\frac{3+1}{3x} =\frac{1}{9} \\\frac{4}{3x}=\frac{1}{9}

Apply cross multiplication

x=\frac{9\times 4}{3}\\x=\frac{36}{3} \\x=12hours

Theo’s sister to paint the fence in 12 hours.

8 0
2 years ago
If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters?
Anvisha [2.4K]

Answer:

Ratio of the perimeters =3:1

Step-by-step explanation:

We have given that : Ratio of the sides of two squares is 3:1

To find : Ratio of their perimeters

Solution : Let the length of the sides are 3:1 = 3x : x

                  Formula of perimeter of square = 4(side)

Using the formula ,

Perimeter of 1 square = 4×3x= 12x

Perimeter of 2 square = 4×x= 4x

Ratio of the perimeter of 1 square and 2 square = 12x : 4x

                                                                                 = 3 : 1


8 0
2 years ago
A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as
Lorico [155]
I hope this helps you

6 0
2 years ago
Read 2 more answers
You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a
Evgesh-ka [11]

Answer:

b) $640

Step-by-step explanation:

Competitor's price  = $800

<u>Price, 20% below of competitor's:</u>

  • $800 - 20% =
  • $800*(100-20)/100 =
  • $800*0.8 =
  • $640

Correct answer choice is b) $640

3 0
2 years ago
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