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4 years ago

5

Austin is saving money to buy a new bike. He needs $120 but has only saved 60% so far. How much more money does Austin need to b

uy the bike?

1 answer:

IgorLugansk [536]4 years ago

6 0

You have to find 60% of 120, which is 72. Then subtract 72 from 120 to find the difference, which is 48. So Austin would need $48 to buy the bike. Hope this helped! :)

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Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

<em>2. Now the equation is,</em>

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

<em>4. Solve by making a the subject</em>

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

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4 0

3 years ago

What is the volume of the cube if the side length is 40cm

swat32

Answer:

The formula to find the volume of a cube : s^3 so

S=40 cm

Now

by the formula,

40^3

64000

7 0

2 years ago

If you ride your bike 12 miles per hour, how long would it take<br> you to travel 72 miles ?

poizon [28]

Answer:

It would take 6 hours for you to travel 72 miles.

Step-by-step explanation:

This question can be solved by a simple rule of three.

We have that:

Each hour, you ride 12 miles.

How many hours will take for you to travel 72 miles?

So:

1 hour - 12 miles

x hours - 72 miles

12x = 72

x = 72/12

x = 6

It would take 6 hours for you to travel 72 miles.

4 0

3 years ago

About 543 out of every 1,000 people in United States owned a cell phone in 2003.In japan,the are was 68 for every 100 people.How

Softa [21]

Answer:

The greater percent of cell phone ownership in Japan than the U.S was <u>13.7%</u>.

Step-by-step explanation:

Given:

About 543 out of every 1,000 people in United States owned a cell phone in 2003.

In japan,the are was 68 for every 100 people.

Now, to find the greater percent of cell phone ownership in Japan than the U.S.

So, to get the percent of people owned cell phone in United States:

$\frac{543}{1000}\times 100$

$=0.543\times 100$

$=54.3\%.$

Now, to get the percent of people owned cell phone in Japan:

$\frac{68}{100} \times 100\\\\=0.68\times 100\\\\=68\%.$

So, to get the percent greater of cell phone ownership in Japan than the U.S we subtract the percent of people owned cell phone in United States from the percent of people owned cell phone in Japan:

$68\%-54.3\%\\\\=13.7\%.$

Therefore, the greater percent of cell phone ownership in Japan than the U.S was 13.7%.

5 0

3 years ago

Type the correct answer in each box. If necessary, use / for the fraction bar. A bag contains 5 blue marbles, 2 black marbles, a

serg [7]

Answer:

P (not drawing a black marble) = 4/5

P (red marble) = 3/10

Step-by-step explanation:

The total number of marbles is

5 blue marbles +2 black marbles+ 3 red marbles = 10 marbles

P (not drawing a black marble) =

The marbles that are not black/ total marbles

(blue + red)/ total

(5+3)/10

8/10

4/5

P (red marble) = red marble/ total

= 3/10

7 0

3 years ago