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3 years ago

Benjamin writes an expression for the sum of 1 cubed, 2 cubed and 3 cubed. What is the value of the expression?

1 answer:

8 0

So the "sum" means to add all of the terms: 1³ + 2³ + 3³

1³ is simply 1
2³ is 8
3³ is 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

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A pitcher of fruit punch holds 2 gallons. If nine people share the entire pitcher equally, how much punch does each person get?

Lesechka [4]

2 gallons divided between 9 people would equal 0.222222222 gallons per person

6 0

3 years ago

A stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. How long are the two piece

marshall27 [118]

Hello from MrBillDoesMath!

Answer:

7/3 and 14/3 inches

Discussion:

Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and

P1 + P2 = 7 => as P2 = 2 P1

P1 + 2P1 = 7 =>

3P1 = 7 => divide both sides by 7

P1 = 7/3

Then P2 = 2 P1 - 2* (7/3) = 14/3

Thank you,

MrB

7 0

2 years ago

Read 2 more answers

A rectangular piece of poster board measures 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board a

Ksju [112]

60*80-10*16 if it's regular area and not surface area

8 0

3 years ago

1/5x-2/3y=30 when y=15

dolphi86 [110]

Answer:

Step-by-step explanation:

Step 1: Set y to 15 and solve

$\frac{1}{5}x - \frac{2}{3}*15=30$

$\frac{1}{5}x-10=30$

Add 10 to both sides

$\frac{1}{5}x-10+10=30+10$

$\frac{1}{5}x=40$

Multiply both sides by 5

$\frac{1}{5}x*\frac{5}{1}=40*\frac{5}{1}$

$x=200$

Answer: $x=200$

5 0

2 years ago

Differentiate f(x) = \frac{x^{3}-4 x+1}{x^{3}}.

miv72 [106K]

$f(x) = \frac{x^{3}-4 x+1}{x^{3}}\\
f'(x)=\frac{(3x^2-4)\cdot x^3-(x^3-4x+1)\cdot3x^2}{x^6}\\
f'(x)=\frac{x^2(3x^3-4x-3x^3+12x-3)}{x^6}\\
f'(x)=\frac{8x-3}{x^4}\\
$

7 0

3 years ago