Answer:
She will need 8 boxes.
Step-by-step explanation:
Given that,
Total no of seashells = 125
She gives her little brother Chris 53 seashells.
Remaining seashells = 125 - 53
= 72
Regina wants to put her remaining seashells in Little Boxes. There will be 9 seashells in each box.
No of boxes needed = remaining seashells/total no of seashells in each box

Hence, she will need 8 boxes.
The volume of a pyramid can be calculated as:

Where B is the area of the base and H is the height. We are given V = 60 cubic inches and H = 5 inches. Solving for B:

Substituting:

The area of the base is 36 square inches.
We must choose the option whose area is 36 sq in.
A square of a side length of 6 inches has an area of:

Thus, the correct choice is D.
Answer:
EF = 31
Step-by-step explanation:
Note that in both line segments (EG & FG), they both have point G in them. This means that point G is the shared point and the mid-point. Add the two line segments together to get the full segment.
EG + FG = EF
19 + 12 = 31
31 is your answer
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Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
Answer:
No because one side is 8 and the other is 18
Step-by-step explanation: