Mathematics, 06.10.2019 06:30 marcusajns

1) target sells 24 bottles of water for $3 and 36 bottles of water for $4. which is the better buy and by how much?
a) 24 bottles for $3 by 1.5¢ per bottle
b) 24 bottles for $3 by 70¢ per bottle
c) 24 bottles for $3 by 75¢ per bottle
d) 36 bottles for $4 by 1.4¢ per bottle

2) an ice machine uses 3 gallons of water every 9 hours. how many gallons of water does it use each hour? how many hours does it take to use one gallon? a) 1/9 gallons per hour; 1 hour
b) 1/3 gallons per hour; 3 hours
c) 3 gallons per hour; 1/9 hour
d) 1/3 gallons per hour; 1/3 hour

3) if a dozen eggs cost $1.35, what is the unit cost?
a) $0.11
b) $0.13
c) $1.23
d) $4.29

4) suppose anna earns $38.50 to walk the neighbor's dog 7 hours during the week. how much does anna earn per hour?
a) $4.25
b) $4.80
c) $5.50
d) $5.75

5) which ratio is equivalent to the unit rate of "30 miles 1 gallon"? how was the unit rate transformed into the equivalent ratio?
a) "3 gallons 10 miles; " by dividing the numerator and denominator of the unit rate by 10.
b) "90 miles 5 gallons; " by multiplying the numerator and denominator of the unit rate by 3.
c) "6 gallons 180 miles; " by multiplying the numerator and denominator of the unit rate by 2.
d) "180 miles 6 gallons; " by multiplying the numerator and denominator of the unit rate by 6.

Answers: 2

Show answers

Answers

Answer from: DESIREEHANCOTTE10

Part 1) option D) 36 bottles for $4 by 1.4¢ per bottle

Part 2) option B) 1/3 gallons per hour; 3 hours

Part 3) option A) $0.11

Part 4) option C) $5.50

Part 5) option D) "180 miles 6 gallons;" by multiplying the numerator and denominator of the unit rate by 6.

Step-by-step explanation:

Part 1) we know that

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

a) sells 24 bottles of water for $3

The unit rate is

$\frac{3}{24}= \$0.125\ per\ bottle$

b) sells 36 bottles of water for $4

The unit rate is

$\frac{4}{36}= \$0.111\ per\ bottle$

The better buy is 36 bottles of water for $4 (because the unit rate is less)

Find out the difference

$\$0.125-\$0.111=\$0.014$

$\$0.014=1.4c$

therefore

36 bottles for $4 by 1.4¢ per bottle

Part 2) we know that

An ice machine uses 3 gallons of water every 9 hours

a) How many gallons of water does it use each hour?

using proportion

Let

x ----> the number of gallons

$\frac{3}{9}\frac{gal}{h}=\frac{x}{1}\frac{gal}{h}\\\\x=3/9\\\\x=1/3\ gal$

b) How many hours does it take to use one gallon?

using proportion

Let

x ----> the number of hours

$\frac{3}{9}\frac{gal}{h}=\frac{1}{x}\frac{gal}{h}\\\\x=9/3\\\\x=3\ h$

therefore

1/3 gallons per hour; 3 hours

Part 3) we know that

To find out the unit cost divide the total cost by the number of eggs

$\frac{1.35}{12}=\$0.11\ per\ egg$

Part 4) we know that

To find out how much Anna earn per hour divide the total earned by the number of hours

$\frac{38.50}{7}=\$5.50\ per\ hour$

Part 5) Which ratio is equivalent to the unit rate of "30 miles 1 gallon"? How was the unit rate transformed into the equivalent ratio?

we have the ratio

$\frac{30}{1}\frac{miles}{gallon}=30\frac{miles}{gallon}$

Verify each case

a) "3 gallons 10 miles;"

we have

$\frac{10}{3}\frac{miles}{gallon}=3.33\frac{miles}{gallon}$

This ratio is not equivalent to the given ratio

b) "90 miles 5 gallons;"

we have

$\frac{90}{5}\frac{miles}{gallon}=18\frac{miles}{gallon}$

This ratio is not equivalent to the given ratio

c) "6 gallons 180 miles;"

we have

$\frac{180}{6}\frac{miles}{gallon}=30\frac{miles}{gallon}$

This ratio is equivalent to the given ratio by by multiplying the numerator and denominator of the unit rate by 6.

d) "180 miles 6 gallons;"

we have

$\frac{180}{6}\frac{miles}{gallon}=30\frac{miles}{gallon}$

This ratio is equivalent to the given ratio by by multiplying the numerator and denominator of the unit rate by 6.

therefore

"180 miles 6 gallons;" by multiplying the numerator and denominator of the unit rate by 6.

Answer from: Quest

answer:

24pi or letter c

Answer from: Quest

where is the graph

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:50, brad7330

An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.87 and 0.84. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x

Answers: 1

continue

Mathematics, 21.06.2019 18:00, TGJuuzouSuzuya

!! 10 ! a westbound jet leaves central airport traveling 635 miles per hour. at the same time, an eastbound plane departs at 325 miles per hour. in how many hours will the planes be 1900 miles apart?

Answers: 1

continue

Mathematics, 22.06.2019 01:40, leylaanddade

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).

Answers: 2

continue

Mathematics, 22.06.2019 01:50, salsa456

Anew movie is released each year for 14 years to go along with a popular book series. each movie is 2 minutes longer than the last to go along with a plot twist. the first movie is 70 minutes long. use an arithmetic series formula to determine the total length of all 14 movies

Answers: 3

continue

You know the right answer?

1) target sells 24 bottles of water for $3 and 36 bottles of water for $4. which is the better buy a...