Mathematics, 27.06.2019 05:00 angeline2004

Avan travels 240 miles on 20 gallons of gas. how far does it travel per gallon? carlos installed 24 wooden cabinets in 8 days. on the average, how many cabinets did he install each day? which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50? julie is trying to choose between two packs of cookies. pack a has 36 cookies for $5.90. pack b has 24 cookies for $4.10. which pack has cheaper cookies? anita is offered two summer jobs. one is in retail and pays $500 for a 40-hour work week. the other job is at a restaurant and pays $12 an hour. which job has a higher hourly rate?

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Answer from: UnusualKc5117

van : 12 miles per gallon

cabinets: 3 cabinets a day

retail job for $500

Step-by-step explanation:

van: 240 miles/20 gallons = 12 miles per gallon

cabinets: 24/8= 3

jobs: $500 for 40 hours and $12 times 40 hours gets you $480

first job pays $20 bucks more

Answer from: grilloj72ovtlxv

Answer with explanation:

Ques 1)

A van travels 240 miles on 20 gallons of gas.

This means that 20 gallons of gas is used to travel 240 miles.

This means that:

1 gallon of gas is used to travel :

$\dfrac{240}{20}=12\ miles$

Hence, it travels 12 miles per gallon.

Ques 2)

Carlos installed 24 wooden cabinets in 8 days.

i.e. in 8 days he install 24 cabinets

This means in 1 day he will install

$\dfrac{24}{8}=3\ cabinets$

On the average, he will install 3 cabinets each day.

Ques 3)

100 sheets cost $ 2.50

This means that cost of 1 sheet is: $ 0.0250

( since, $\dfrac{2.50}{100}=0.0250$ )

150 sheets at $3.50

This means that cost of 1 sheet is: $ 0.0233

( since, $\dfrac{3.50}{150}=0.02333$ )

This means that the cost per sheet is cheaper in the buy:

150 sheets at $3.50.

Ques 4)

Pack A has 36 cookies for $5.90.

This means that cost of 1 cookie is: $ 0.16388 )

( since, $\dfrac{5.90}{36}=0.16388$ )

and Pack B has 24 cookies for $4.10.

This means that cost of 1 cookie is: $ 0.170833

( since, $\dfrac{4.10}{24}=0.170833$ )

The cost per cookie is cheaper in Pack A.

Hence, the pack which has cheaper cookies is: Pack A.

Ques 5)

One is in retail and pays $500 for a 40-hour work week.

This means that the payment for 1 hour is: $ 12.5

( since, $\dfrac{500}{40}=12.5$ )

The other job is at a restaurant and pays $12 an hour.

This means that the job which has a higher hourly rate is:

In retail which pays $500 for a 40-hour work week.

( since 12.5>12 )

Answer from: Quest

answer: idk

step-by-step explanation:

Answer from: Quest

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = $\frac{-8+3}{4-7}$ = - $\frac{5}{3}$

y = - $\frac{5}{3}$ x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - $\frac{20}{3}$ + c ⇒ c = - $\frac{4}{3}$

y = - $\frac{5}{3}$ x - $\frac{4}{3}$ ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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Avan travels 240 miles on 20 gallons of gas. how far does it travel per gallon? carlos installed 24...