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2 years ago

27

Mathematics

1 answer:

Gwar [14]2 years ago

4 0

Answer:

1,3,4

Step-by-step explanation:

ıf we rearrange formula we can obtain

p=nrt/v

t=pv/nr

v=nrt/p

r=pv/nt

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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

Cora uses 6.2 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is

zhenek [66]

Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

Quantity of White paint =2/ 5 x 6.2 pints = 2.48 pints

Quantity of blue paint =Total Quantity -Quantity of White paint

=6.2 pints-2.48 pints

=3.72 pints

5 0

2 years ago

If you know that the exact volume of a cylinder is 500 π cm3, how can you find the approximate volume, without knowing the heigh

grandymaker [24]

Answer:

The approximate volume is $1,570\ cm^{3}$

Step-by-step explanation:

we know that

The exact volume of the cylinder is

$V=500\pi \ cm^{3}$

To find the approximate volume of the cylinder, substitute the term $\pi$ by the approximate value of $3.14$ and then multiply

$V=500(3.14)=1,570\ cm^{3}$

6 0

3 years ago

The price of a cd is $16 if the sales tax is 4% what will be the total price of the cd

djverab [1.8K]

Well u would turn 4 into a decimal. this is 0.04. then multiply it by 16. that answer will be added to the original price 16. this would be the answer.

6 0

3 years ago

Evaluateing expressions 9x-c

lyudmila [28]

Answer:

9x−c

= 9x + − c

=−c+9x

Step-by-step explanation:

3 0

3 years ago