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svetoff [14.1K]
3 years ago
9

Simplify

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0

my answer is in the image above

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Please solve the picture below <br> Complete the equation
Anna35 [415]

Answer:

y - 2 = -2 (x - 7)

Step-by-step explanation:

first you need to find the slope. the slope formula is (y₂ - y₁) / (x₂ - x₁) and if you plug the numbers in [(6,4) as the ₁'s and (7,2) as the ₂'s], you will get (2 - 4) / (7 - 6) which is -2. the point slope form is y - y₁ = m (x - x₁). in your equation, it has half of it done using (7, 2), so we'll use that as the ₁. plug it in, and you get y - 2 = -2 (x - 7)

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3 years ago
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san4es73 [151]
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3 years ago
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alexira [117]
\bf \begin{array}{lccclll}&#10;&amount&concentration&&#10;\begin{array}{llll}&#10;concentrated\\&#10;amount&#10;\end{array}\\&#10;&-----&-------&-------\\&#10;\textit{5\% alloy}&x&0.05&0.05x\\&#10;\textit{30\% alloy}&y&0.30&0.30y\\&#10;-----&-----&-------&-------\\&#10;mixture&100&0.15&(100)(0.15)&#10;\end{array}

so hmm notice, we use the decimal format for the percent, namely 15% is just 15/100 and 5% is just 5/100 and so on

whatever the amounts of "x" and "y" are, they must add up to 100 grams
thus x + y = 100

and whatever the concentrated amounts are, they'll add up to (100)(0.15)

thus     \bf \begin{cases}&#10;x+y=100\implies \boxed{y}=100-x\\&#10;0.05x+0.30y=(100)(0.15)\\&#10;----------\\&#10;0.05x+0.30\left( \boxed{100-x} \right)=(100)(0.15)&#10;\end{cases}

solve for "x", to see how much 5% alloy will be needed

what about "y"?  well y = 100 -x
4 0
4 years ago
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