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NeX [460]
4 years ago
11

I need help with 9(2+w)-4=3w-10

Mathematics
1 answer:
laiz [17]4 years ago
3 0
Simplifying
9(2 + w) + -4 = 3w + -10
(2 * 9 + w * 9) + -4 = 3w + -10
(18 + 9w) + -4 = 3w + -10

Reorder the terms:
18 + -4 + 9w = 3w + -10

Combine like terms: 18 + -4 = 14
14 + 9w = 3w + -10

Reorder the terms:
14 + 9w = -10 + 3w

Solving
14 + 9w = -10 + 3w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-3w' to each side of the equation.
14 + 9w + -3w = -10 + 3w + -3w

Combine like terms: 9w + -3w = 6w
14 + 6w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
14 + 6w = -10 + 0
14 + 6w = -10

Add '-14' to each side of the equation.
14 + -14 + 6w = -10 + -14

Combine like terms: 14 + -14 = 0
0 + 6w = -10 + -14
6w = -10 + -14

Combine like terms: -10 + -14 = -24
6w = -24

Divide each side by '6'.
w = -4

Simplifying
w = -4
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Answer: The most amount of cupcakes she can buy is 16.

Step-by-step explanation: 1.50 multiplied by 16 equals 24

3 0
3 years ago
Two water pumps are filling a pool. One of the pumps is high power and can fill the pool 5 hours before the other can do. Howeve
9966 [12]

L = hours for the slower pump to fill the pool

L - 5 = hours for the high power pump, since it can do it in 5 hours less.

since the slower pump takes L hours, the faster pump takes then L - 5 hours.

we know both pumps together take 3 hours to do <u>half of the pool</u>, so that means that to fill up <u>the whole pool it takes them 6 hours</u>.

since the slower pump can do it alone in L hours, in 1 hour it has done 1/L of the whole thing.

likewise, since the faster pump can do it in L-5 hours, in 1 hour alone it has done 1/(L-5) of the whole job.


\bf \stackrel{\textit{slower pump's rate}}{\cfrac{1}{L}}~~~~+\stackrel{\textit{faster pump's rate}}{\cfrac{1}{L-5}}~~~~=~~~~\stackrel{\textit{total done in 1 hour}}{\cfrac{1}{6}} \\\\\\ \textit{let's multiply both sides by }\stackrel{LCD}{6(L)(L-5)}\textit{ to do away with the denominators} \\\\\\ 6(L)(L-5)\left( \cfrac{1}{L}+\cfrac{1}{L-5} \right)=6(L)(L-5)\left( \cfrac{1}{6} \right)


\bf 6(L-5)+6L=(L)(L-5)\implies 6L-30+6L \\\\\\ 12L-30=L^2-5L\implies 0=L^2-17L+30 \\\\\\ 0=(L-15)(L-2)\implies L= \begin{cases} \boxed{15}\\ 2 \end{cases}


now, we can't use L = 2, because, the whole job by both is done in 6 hours, there's no way the slower pump can do it in less than that, so L = 15.

now if L = 15, then L - 5 = 10.

5 0
4 years ago
What is equivalent to 24/16
gulaghasi [49]
We can convert 24/16 to a mixed number. It will be equivalent to 24/16.

24/16
24 ÷ 16 = 1.5
16 can go in to 24 once.
24 - 16 = 8 

1 = whole number
8 = numerator 
16 = denominator
 
Lets write our mixed number:-

1 \frac{8}{16}

This can be simplified ^^^^

\frac{8/8}{16/8} = \frac{1}{2}

So, our old mixed number simplified is 1 \frac{1}{2}

So, 24/16 is equivalent to 1. 1 \frac{8}{16}, 2. 1 \frac{1}{2}

Hope I helped ya!!! xD
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Simplify. 78+(−23)56 Enter your answer, in simplest form, in the boxes.
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Hope that helps, Good luck! (:
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Find the values of x in the figure below. Express your answer in simplest radical form.
swat32

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

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