Answer:
Step-by-step explanation:
Let’s break this apart.
Box= 12cm x 8cm x 6cm
Cube= 2cm x 2cm x 2cm
How many cubes fit in the box?
calculate the volume of the box. To do this, multiply the length by the width by the height (L x W x H)
12 x 8 x 6 = 576cm cubed
2. Calculate the volume of the cube. Once again we multiply L x W x H
2 x 2 x 2 = 8cm cubed
3. Next we divide the volume of the box by the volume of the cube
576 / 8 = 72 cubes
Therefore, it would take 72 cubes to fill a box.
Answer:
$153.00
Step-by-step explanation:
A = $1,353.00
(I = A - P = $153.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year.
Solving our equation:
A = 1200(1 + (0.0425 × 3)) = 1353
A = $1,353.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 4.25% per year for 3 years is $1,353.00.
Answer:
C. 8x - 16
D. 
+ 6x + 8
A. 2 (x + 3)
B. 7(2 - x)
C. -8x
D. 7x
Step-by-step explanation:
c.
To solve this problem, first, one must distribute, multiply every term inside the parenthesis by the term outside,
2(4x - 8)
=(2)(4x) + (2)(-8)
= 8x - 16
d.
To solve this problem, distribute, multiply every term inside one parenthesis by every term in the other, the combine like terms,
(x + 4)(x + 2)
= (x)(x) + (4)(x) + (2)(x) + (4)(2)
= + 4x + 2x + 8
= + 6x + 8
a.
Factor, write the given expression as the product of two expressions. Take out a common factor that both terms have,
2x + 6
= 2(x + 3)
b.
Factor this expression, take out a common factor, and rewrite the expression as the product of two other expressions,
14 - 7x
7(2 - x)
c.
Combine like terms,
2x - 10x
= -8x
d.
Combine like terms to solve this problem
3x + 4x
= 7x
Answer:
GCF = 17
Step-by-step explanation:
For the values 34, 85
Solution by Factorization:
The factors of 34 are: 1, 2, 17, 34
The factors of 85 are: 1, 5, 17, 85
Then the greatest common factor is 17.
Answer:
6x^3(x+2)(x-7)
Step-by-step explanation:
1st step: factor out common term, 6x^3(x^2 - 5x - 14)
2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)
3rd step: simplify, 6x^3(x+2)(x-7)
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