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soldier1979 [14.2K]
2 years ago
14

What are the solutions to 2(x+1^2)=18

Mathematics
1 answer:
stiks02 [169]2 years ago
3 0

Answer:

2( x + 1) = 18

2x + 2 = 18

2x = 16

x = 16/2 = 8

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A metallurgist has an alloy with 5% titanium and an alloy with 30% titanium. He needs 100 grams of an alloy with 15% titanium. H
andrey2020 [161]
Let us convert the percentages to decimal format first.. so 5% is just 5/100 or 0.05 and 15% is just 15/100 or 0.15

so hmmm, so, let's say it needs "x" amount and "y" amount of each respectively, so, whatever "x" and "y" are, they must add up to 100, and whatever their concentration is, must add up to what the mixture yields

thus

\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{30\% alloy}&y&0.30&0.3y\\
-----&-----&-------&-------\\
mixture&100&0.15&15
\end{array}
\\\\\\
\begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.3y=15\\
----------\\
0.5x+0.3\left( \boxed{100-x} \right)=15
\end{cases}

solve for "x"

what's "y"? well, y = 100 - x
4 0
3 years ago
Mia found the area of a polygon The area is 32 square cm.
solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle we have:

A_{r} = bh = 6 cm*4 cm = 24 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2}

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}

This polygon does have an area of 32 cm².

   

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

8 0
3 years ago
Picture from my last question!
vaieri [72.5K]
F
Triangle equals 180
42+42=84
What is 180-84
That would be the next angle
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Quanto e 16 elevado a menos 1 sobre 2 ,explicacao pfv
11Alexandr11 [23.1K]

Answer:

Konnichiwa

Step-by-step explanation:

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2 years ago
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$290.68

Step-by-step explanation:

$3633.49 times 2 times 4% = $290.68

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