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

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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

Cthe residual plot for model 1 has a non random pattern and is a good fit for the data
Ineed an answer ! the table below shows the relationship between the diameter, x, in inches, and th

Ineed an answer ! the table below shows the relationship between the diameter, x, in inches, and th

Answer from: Quest

hello from mrbilldoesmath!

answer: x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

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