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Harlamova29_29 [7]
2 years ago
9

A group of friends were working on a student film. They spent all their budget on

Mathematics
1 answer:
Sophie [7]2 years ago
4 0

Answer:

$820

Step-by-step explanation:

Total = Equipment + Props

T = 369 + 0.55T

0.45T = 369

<u>T = 820</u>

I hope this helps!

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The point (3, 6) is on the graph of y= 5f(2(x+3))-4 . Find the original point on the graph of y=f(x).
Sonja [21]

Answer:

<em>(12, 2)</em> is the original point on the graph of y=f(x).

Step-by-step explanation:

<u>Given:</u>

y= 5f(2(x+3))-4 has a point <em>(3, 6)</em> on its graph.

<u>To find:</u>

Original point on graph y=f(x) = ?.

<u>Solution:</u>

We are given that The point (3, 6) is on the graph of y= 5f(2(x+3))-4

If we put x = 3 and y = 6 in y= 5f(2(x+3))-4, it will satisfy the equation.

Let us the put the values and observe:

6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)

Now, let us compare the above with the following:

y=f(x)

we get y = 2 and x = 12

So, the original point on graph of y=f(x) is <em>(12, 2).</em>

7 0
2 years ago
A jeweler needs 50 ounces of a 21% silver alloy. Find the amount of a 12% silver alloy and the amount of a 24% silver alloy he s
sergij07 [2.7K]

Answer:

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Step-by-step explanation:

Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...

  24%·x + 12%·(50 -x) = 21%·50

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The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.

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