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mihalych1998 [28]

3 years ago

15

Mac hine A pops 12,75 ounces of popcorn in 3 minutes. Machine B pops 18 ounces of popcorn in 4minutes. If each machine pops popc

orn for 10 minutes, will there be enough popcorn for eight 9-ounce bags?

1 answer:

Nataly [62]3 years ago

8 0

yes. Machine A pops 42.5 ounces of popcorn in 10 minutes. Machine B pops 45 ounces of popcorn in 10 minutes. Add the two to get 87.5 ounces. 8 times 9 is 72 which is less than 87.5 ounces

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If f(x) = (-x)^3, what is f(-2)?<br> -6<br> -8<br> 8<br> 6

lys-0071 [83]

Answer:

The answer is 8

Step-by-step explanation:

Plug -2 in for x. The double-negative inside the parenthesis makes it positive, then do the exponent.

6 0

3 years ago

Read 2 more answers

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

as

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 2

Leokris [45]

Answer:

90

Step-by-step explanation:

it is 90 because in the first slot there can be any 10 numbers and in the second slot the set can contain any of the remaining 9 numbers and then we can multiply these two numbers together to find the total amount of sets.

hope this helps :)

4 0

4 years ago

Read 2 more answers

Please help me again !!!<br> show steps

jonny [76]

Answer: 82

Step-by-step explanation: since it is across from the 82, the answer is 82

6 0

3 years ago

the ages of six girls are as follows;17,8,12,15,15,13 .what would be the age of the seventh girl that would make the mean age of

Elden [556K]

Answer:

11 yrs

Step-by-step explanation:

Mean = sum of ages/number of ages

Let the age of the seventh girl be A

Given the addition of the age of the seventh girl will make the mean of the ages be 13,

So,

13 = 17+8+12+15+15+13+A/7

Add up the ages

13 = 80 + A /7

Cross multiply

80 + A = 13 x 7

80 + A = 91

Subtract 80 from both sides to isolate A

80 - 80 + A = 91 - 80

A = 11

The age of the seventh girl is 11

7 0

3 years ago