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3 years ago

11

A group of friends were working on a student film that had a budget of $700. They used 16% of their budget on props. How much mo

ney did they spend on props?

1 answer:

PtichkaEL [24]3 years ago

8 0

Answer:

They spent 112 dollars on props.

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The slope is 1/4 so the slope intercept form is y=1/4+3

Step-by-step explanation:

To find the slope the easiest way from looking at a graph is just to find the rise over run. From looking at the graph we can see that the next point from 0,3 is 4,4. The y here is increased by 1, which means the rise is 1. The x is increased by 4 so the run is 4. From putting rise (1) over run (4) the slope is 1/4. The formula for slope intercept is y=mx+b. m is slope so we substitue that for 1/4 so now we have y=1/4x+b. Then the b is the y intercept, or, at what point the line crosses the y line. Which in this case is 0,3 so the y intercept would be 3 because that is what height it crosses the y line.

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3 years ago

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3 years ago

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3 years ago

Please help hate geometry

Vladimir [108]

$a.\\\dfrac{12}{7}=\dfrac{k}{8}\ \ \ \ |\text{cross multiply}\\\\7k=12\cdot8\\\\7k=96\ \ \ \ |:7\\\\k=\dfrac{96}{7}\to k=13\dfrac{5}{7}$

$b.\\\dfrac{3}{4}(x+3)=9\ \ \ \ \ |\text{use distributive property}\\\\\dfrac{3}{4}x+\dfrac{3}{4}\cdot3=9\\\\\dfrac{3}{4}x+\dfrac{9}{4}=9\ \ \ \ \ |\cdot4\\\\3x+9=36\ \ \ \ |-9\\\\3x=27\ \ \ \ |:3\\\\x=9$

$c.\\\dfrac{4+m}{3}=\dfrac{5}{6}\ \ \ \ \ |\text{cross multiply}\\\\6(4+m)=3\cdot5\ \ \ \ |\text{use distributive property}\\\\6\cdot4+6m=15\\\\24+6m=15\ \ \ \ |-24\\\\6m=-9\ \ \ |:6\\\\m=-\dfrac{9}{6}\\\\m=-\dfrac{3}{2}\\\\m=-1\dfrac{1}{2}\to x=-1.5$

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3 years ago

Read 2 more answers

An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i

8_murik_8 [283]

The amount invested in the mutual fund that earned 5% is $ 1000

The amount invested in the mutual fund that earned 3% is $ 1800

<h3><u>Solution:</u></h3>

Given that , An investor invested a total of $2,800 in two mutual funds

Let the amount invested in 1st mutual fund be $n

Then the amount invested in the other mutual fund will be $(2800 - n)

One fund earned 5% profit while the other earned 3% profit

Then, profit earned by 1st fund ⇒ 5% of n

And profit earned by 2nd fund ⇒ 3% of 2800 – n

Investor's total profit was $104

Now, we know that,

<em>total profit = profit earned on 1st fund + profit earned on 2nd fund </em>

104 = 5% of n + 3% of ((2800 - n)

$\frac{5}{100} n+\frac{3}{100}(2800-n)=104$

$\begin{array}{l}{\frac{5 n+3(2800-n)}{100}=104} \\\\ {5 n+3 \times 2800-3 n=10400} \\\\ {5 n-3 n=10400-8400} \\\\ {2 n=2000} \\\\ {n=1000}\end{array}$

So, he invested $ 1000 in 1st fund at 5 % profit

And 2800 – n = 2800 - 1000 = $ 1800 in 2nd fund at 3 % profit

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4 years ago