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Goshia [24]
3 years ago
6

PLEASE HELP ME ASAP!!!!!

Mathematics
1 answer:
melomori [17]3 years ago
7 0
Circumference = 2 * PI * radius
Circumference = 2 * PI *14
Circumference = <span> <span> <span> 87.9645943005 feet</span></span></span>
96 degrees is (96/360) of a circle = <span> <span> <span> 0.266666666</span></span></span>
<span><span><span /></span></span>
The distance traveled is 87.9645943005 * <span>0.266666666 =</span>
<span /> <span> <span> <span> 23.4572251468 </span> </span> </span> feet =
23.46 feet
<span><span /></span>
<span><span> </span> </span>
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Ms. Nina has 10 lbs of 25% sugar syrup. How much water does she need to add to make 10% sugar syrup?
ryzh [129]
She has 10lbs of 25% syrup... so, in the 10lbs, 25% of that is syrup, the rest, namely the 75% remaining is water or other substances.

let's say she adds "x" lbs of water, to get "y" lbs for the 10% mixture.

how much is 25% of 10lbs?  well, (25/100) * 10, or 2.5.

the water has no sugar syrup in it, so is just pure water, so the amoun of syrup in it is 0%, how much is 0% of "x" lbs?  well, (0/100) * x, or 0.00x, which is just 0.

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whatever "x" and "y" are, we know that 10 + x = y.

we also know that the syrup amount in that is also 2.5 + 0.00x = 0.10y, thus


\bf \begin{array}{lccclll}&#10;&\stackrel{lbs}{syrup}&\stackrel{concentration~\%}{syrup}&\stackrel{concentration}{amount}\\&#10;&------&------&------\\&#10;\textit{25\% syrup}&10&0.25&2.5\\&#10;\textit{pur water}&x&0.00&0.00x\\&#10;------&------&------&------\\&#10;\textit{10\% mixture}&y&0.10&0.10y&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;10+x=\boxed{y}\\&#10;2.5+0.00x=0.10y\\&#10;----------\\&#10;2.5 = 0.10\left( \boxed{10+x} \right)&#10;\end{cases}&#10;\\\\\\&#10;2.5=1 + 0.10x\implies 1.5=0.10x&#10;\\\\\\&#10;\cfrac{1.5}{0.10}=x\implies 15=x
8 0
3 years ago
Read 2 more answers
Original Equation:8 - 7x^2 + 3 = 4x^2 - 1Frist step:11 - 7x^2 = -4x^2 - 1Which property justifies the first step?A. Division pro
Tpy6a [65]

8 - 7x^2 + 3 = 4x^2 - 1

8+3-7x^2 = 4x^2-1

11-7x^2 = 4x^2-1

B. Commutative property of addition

We can swap numbers and obtain the same results.

In this case, we swapped 8+3 and added them.

7 0
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