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BaLLatris [955]
4 years ago
15

Which expressions are equivalent to 12a+24b+36?

Mathematics
1 answer:
DochEvi [55]4 years ago
3 0
See photo for solution

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Which expression is equivalent to
g100num [7]

Answer:

16 x¹⁰ + 88 x⁵ + 121

step-by-step explanation:-

( 4 x⁵ + 11)²

  • use ( a + b)² = a² + 2ab + b² to expand the expression

( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²

calculate we get

16 x¹⁰ + 88 x⁵ + 121

6 0
3 years ago
A cube has a volume of 0.215ft³. What is te length of each side of the cube?
enyata [817]

Answer:

length ≈ 0.599 feet

Step-by-step explanation:

volume = length³

0.215ft³ = length³

cube root both sides to isolate the length

∛(0.215ft³) = length

length ≈ 0.599 feet

6 0
3 years ago
Hey cylindrical water tank is being filled with the hose. The depth of the water increases by 1 1/4 ft./h how many hours will it
irakobra [83]
First off, let's convert the mixed fractions to "improper", keeping in mind that the water is increasing every passing hour by 1 and 1/4.

\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}
\\\\\\
\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\
-------------------------------

\bf \begin{array}{ccll}
feet&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&1\\\\
\frac{7}{2}&h
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{2}}=\cfrac{1}{h}\implies \cfrac{5}{4}\cdot \cfrac{2}{7}=\cfrac{1}{h}\implies \cfrac{5}{2}\cdot \cfrac{1}{7}=\cfrac{1}{h}
\\\\\\
\cfrac{5}{14}=\cfrac{1}{h}\implies h=\cfrac{14\cdot 1}{5}\implies h=\cfrac{14}{5}\implies h=2\frac{4}{5}
3 0
3 years ago
You roll a fair 6 sided die. What is P (not 3)? If necessary, round your answer to 2 decimal places.
Leokris [45]

Answer:

P is an abbreviation for Probability.

The probability of getting 3 is 1/6

The probability of getting any number alone is 1/6

5 0
4 years ago
Solve the following system of equations. 3x+4y=12
Lesechka [4]

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12  ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

6 0
4 years ago
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