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AlekseyPX
3 years ago
5

The figure below shows a rectangular prism and a cube: A rectangular prism and a cube are drawn side by side. The length of the

rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch. How many such cubes are required to completely pack the prism without any gap or overlap? 288 576 1,152 1,636 Please Help

Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

288

Step-by-step explanation:

just count by

Vr : Vc

Vr = Volume of rectangular

Vc = Volume of cube

Vr : Vc

4 * ¾ * 1 ½ : ¼ * ¼ * ¼

4.5 : 1/64

4.5 * 64 = 288 cubes needed

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$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and exp
cluponka [151]

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

6 0
2 years ago
A number cube with faces labeled from 1 to 6 will be rolled once.
tresset_1 [31]

Question:

A number cube with faces labeled from 1 to 6 will be rolled once.  The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes.  Then give all of the outcomes for the event of rolling a number greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

S = \{1,2,3,4,5,6\}

Greater2 = \{3,4,5,6\}

Step-by-step explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

S = \{1,2,3,4,5,6\}

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

Greater2 = \{3,4,5,6\}

3 0
3 years ago
5. Solve the polynomial equation:
iogann1982 [59]

Solution,

Given; x^3-7x^2-x+7=0

Using factor theorem,

we have,

i)x^3-7x^2-x+7=0

let's check whether 1 is the factor of given equation or not by replacing the value of x by one..

or, 1^3-7.1^2-1+7=0

or, 1-7-1+7=0(.°. Cancellation of +1&-1 and +7&-7 in equation)

.°.0=0

which proves that 1 is one of the factor of x

therefore(x-1) is a factor of x^3-7x^2-x+7=0.

Now,

Expanding the x^3-7x^2-x+7=0 to get (x-1) as a factor...

ii)x^3-7x^2-x+7=0

or,x^3-x^2-6x^2+6x-7x+7

or,x^2(x-1) - 6x(x-1) - 7(x-1) = 0

or,(x-1) (x^2-6x-7)w = 0

or,,(x-1) (x^2-(7-1)x-7) =0

or,,(x-1) (x^2-7x + x -7) =0

or,(x-1) [x(x-7)+1(x-7)] = 0

or,(x-1) (x+1) (x-7) = 0

Either,

i) x - 1=0

.°.x = 1

And,

ii)x + 1 = 0

.°. x = -1

Or,

iii) x - 7 = 0

.°.x =7

Hence, the required value of x are -1 ,+1 & 7.

5 0
3 years ago
Pls help with 19 due in 15 mins
umka21 [38]

Answer:

the first question is 120. I cant see other options for the second question. The third question is 12.

Step-by-step explanation:

5 0
3 years ago
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What number should be added to both sides of the equation to complete the square? x^2-40x=0
mylen [45]

Answer:

+40

Step-by-step explanation:

8 0
3 years ago
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