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Sati [7]
3 years ago
10

DILATION GEOMETRY QUESTION

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

A'B'C'D' was dilated by 4

Step-by-step explanation:

The distance from B' to C' is 1.

The distance from B to C is 4.

4/1=4

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A car radiator needs a 80% antifreeze solution. The radiator now holds 15 liters of a 70% solutions. How many liters of this sho
slavikrds [6]
So... the radiator has 15 liters of 70% antifreeze.. but needs an 80% antifreeze

well, so, you need to drain some and put some with higher percentage, seems to be, you will end up at the same 15 liters, possible the radiator's capacity, of 80% antifreeze

so, the same amount going out, of 70% is the same amount going in, of 100% antifreeze

now.. let's use the decimal format for the percents, or 70% is 70/100 or 0.7 and so on
\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentration\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{70\% sol'n, out}&x&0.7&0.7x\\
\textit{100\% sol'n, in}&x&1.00&x\\
\textit{current 70\% sol'n}&15&0.7&10.5\\
-----&-----&-------&-------\\
mixture&15&0.8&12
\end{array}

so.. let's subtract, from the current solution, 0.7x and add 1x or x, our antifreeze concentration amount, should be 12 though

10.5 - 0.7x + x = 12

solve for "x"

3 0
3 years ago
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3 years ago
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A store pays $85 for a picnic table and marks the price up by 25%. What is the new price ​
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7 0
2 years ago
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Attachment mathswatch!!!!!!!!!!!!!
SSSSS [86.1K]

Answer:

a) = Slope of line AB = 1/2

<h2><em><u>Perpendicular = -2</u></em></h2>

<h2>b) <em><u>y = -2x + 6</u></em></h2><h2 />

Step-by-step explanation:

a) When it is perpendicular the answer will be positive if the initial value is negative. If it is a whole number, then the perpendicular number is going to be a fraction. The opposite applies.

b) Slope = -2x

   intercept = ?

y = -2x + b

0 = -6 + b

+6  +6

b = 6

<em><u>y = -2x + 6</u></em>

7 0
2 years ago
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what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube
Dmitrij [34]
Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

\frac{99}{2} (2x+98)=p^3 \\  \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}

By substitution, we have that p=33 and x=314.

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
3 0
3 years ago
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