Mathematics, 22.07.2019 18:20 zulaykaalex

Can someone me out with find the unit rate and also solve by equivalent fractions

$Can someone me out with find the unit rate and also solve by equivalent fractions$

Answers: 2

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Answer from: derick263

Part 1)

a) The unit rate is $2.5 per pumpkin

b) The units rate is $4.5 per pound

c) The unit rate is 1 mile/hour

d) The unit rate is 2.67 mph

Part 2)

a) x=20

b) x=13

c) x=30

d) x=3

e) x=10

f) x=56

g) x=2.5

h) x=6

Step-by-step explanation:

Part 1)

we know that

A unit rate is a ratio that has a denominator of 1

Part a) we know that

Andy buys 400 pumpkins for $1,000

To find out the unit rate divide the total cost by the number of pumpkin

1,000/400=$2.5/1 -----> the denominator is equal to 1

Part b) Sonia spend $13.50 on 3 lbs of candy What is the price of one pound?

To find the price of one lb of candy, find out the unit rate, so divide the total cost by the number of pounds

$13.50/3=$4.5 per pound

Part c) Sam walks 4 miles in 4 hours What is Sam's speed per hour?

To find the unit rate divide the total distance by the total time

4/4=1 mile/hour

Part d) Arnold walks 2 miles in 45 min What is his speed in mph?

To find the unit rate divide the total distance by the total time but first convert minutes to hours

45 min=45/60=0.75 h

2/0.75=2.67 mph

Part 2)

we know that

Equivalent fractions are fractions that are equal in value. To determine if two fractions are equivalent, cross-multiply the fractions--multiply the numerator of each fraction by the denominator of the other. The fractions are equivalent if the products are the same

Part a) we have

$\frac{5}{10}=\frac{x}{40}$

Multiply in cross

5*40=10*x

200=10x

Divide by 10 both sides

x=20

Part b) we have

$\frac{x}{4}=\frac{52}{16}$

Multiply in cross

16*x=52*4

16x=208

Divide by 16 both sides

x=13

Part c) we have

$\frac{6}{7}=\frac{x}{35}$

Multiply in cross

6*35=7*x

210=7x

Divide by 7 both sides

x=30

Part d) we have

$\frac{10}{x}=\frac{80}{24}$

Multiply in cross

10*24=80*x

240=80x

Divide by 80 both sides

x=3

Part e) we have

$\frac{50}{10}=\frac{x}{2}$

Multiply in cross

50*2=10*x

100=10x

Divide by 10 both sides

x=10

Part f) we have

$\frac{5}{7}=\frac{40}{x}$

Multiply in cross

5*x=40*7

5x=280

Divide by 5 both sides

x=56

Part g) we have

$\frac{1}{x}=\frac{10}{25}$

Multiply in cross

1*25=10*x

25=10x

Divide by 10 both sides

x=2.5

Part h) we have

$\frac{5}{x}=\frac{20}{24}$

Multiply in cross

5*24=20*x

120=20x

Divide by 20 both sides

x=6

Answer from: Quest

the graph on the bottom right

Answer from: Quest

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

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