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3 years ago

Generating Equivalent Expressions : simplify

Mathematics

1 answer:

laiz [17]3 years ago

5 0

Expand

z^3 + 5z + 15 + 8 - 4z^2

Collect like terms

z^3 + 5z + (15 + 8) - 4z^2

<u>Simplify </u>

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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.

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2 years ago

Factorise the following expressions.

Setler79 [48]

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

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2 years ago

I am thinking of 2 numbers.

STALIN [3.7K]

I’m not 100% sure but it could be 225 and 328. Adding those together you get a sum of 553.

Hope this helped! Mark me brainliest if you’d like, im tryna get too expert!

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2 years ago

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BRAINLIEST TO CORRECT HURRY

Vlad [161]

Answer:

Step-by-step explanation:

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0.20 is bigger than 0

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2 years ago

What is 7.8× 10^5 hours in days?

Colt1911 [192]

32500 because you divide by 24.

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2 years ago