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3 years ago

Which unit rate is equivalent to 19 miles per gallon?

Mathematics

1 answer:

makvit [3.9K]3 years ago

4 0

"fifty seven miles over three gallons" is the right answer

Step-by-step explanation:

Given unit rate is:

19 miles per gallon

We have to see that which of the given options equals to the given unit rate

So,

three gallons over fifty seven miles

$\frac{3\ gallons}{57\ miles} = \frac{1}{19}\ gallons\ per\ mile$

fifty seven miles over three gallons

$\frac{57\ miles}{3\ gallons} = 19\ miles\ per\ gallon$

Hence,

"fifty seven miles over three gallons" is the right answer

Keywords: Unit rate, Fractions

Learn more about unit rate at:

#LearnwithBrainly

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3 years ago

A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

Black_prince [1.1K]

Answer:

$\frac{19}{12}\ pounds$

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

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3 years ago

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4 years ago

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Digiron [165]

Answer:

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3 years ago