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3 years ago

11

A container holds 1/4 gallon of oil . Jonathan is changing the oil in his car and needs 5 containers. How many gallons of oil do

es Jonathan need?

1 answer:

Karolina [17]3 years ago

8 0

If he only filled up five containers, then he would only have one and 1/4 gallons of oil

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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

Select the point that is a solution to the system of inequalities.

IceJOKER [234]

It would be C since it’s in between both inequalities and in the shaded region.

6 0

3 years ago

Karen invested $2,000 in a special savings account.

WARRIOR [948]

Answer:

D. $512,000

Step-by-step explanation:

Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation $2000(2^{8})$ . $2^8$ can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!

<h2><em><u>Pls mark brainliest!</u></em></h2>

4 0

2 years ago

Is there an ordered pair solutions to <br> -3x+3y=4 and <br> -x+y=3 ????

elixir [45]

Y=x+3
-3x+3(x+3)=4
-3x+3x+9=4
9=4
Since this statement is false, there are no ordered pair solutions to this problem.

8 0

3 years ago

Kelly has a muffin recipe that calls for 1 1/2 cups of sugar. She wants to use 1/2 that amount of sugar. How much sugar will she

Arturiano [62]

Answer:

The correct answer would 3/4 cups of sugar

Step-by-step explanation:

divide 1 1/2 by 2 to get 3/4

5 0

3 years ago