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kvasek [131]
3 years ago
11

Renee has a total of 12 cookies in chocolate chip and peanut butter, C + P = 12. The number of chocolate chip cookies is three t

imes the number of peanut butter cookies, C = 3P. How many of each type of cookie does she have?
Mathematics
2 answers:
Illusion [34]3 years ago
8 0

Set up a system of equations in 2 variables.

Reika [66]3 years ago
7 0

Answer:

Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.

Step-by-step explanation:

This is a system of equations:

C + p = 12

C = 3P

All you need to do is substitute C for 3P in the first equation.

C + P = 12

3P + P = 12

4P = 12

Divide both sides by 4

4P/4 = 12/4

P = 12/4

P = 3

Now, substitute P for 3 in the first equation.

C + P = 12

C + 3 = 12

Subtract 3 from both sides

C + 3 - 3 = 12 - 3

C = 12 - 3

C = 9

C = 9, P = 3

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Answer:

16.5?

Step-by-step explanation:

It's halfway between 16 and 17?

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3 years ago
A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell
guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

6 0
2 years ago
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scoundrel [369]

Answer:

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4 0
3 years ago
What is the solution to the inequality.
Novosadov [1.4K]

Answer:

a. x<7 and x>-7

Step-by-step explanation:

√x²<√49

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7 0
2 years ago
Find the midpoint of the line segment given the endpoints.<br><br> (-1, 10) (-1, 6)
BaLLatris [955]

The midpoint of these two points is (-1, 8).

In order to find the midpoint, you must take the average of each part of the coordinates. You do this by adding them together and dividing by 2. We'll start with the x-coordinates.

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Now we'll use the y-coordinates.

(10 + 6)/2 = 8

This gives us the ordered pair of (-1, 8)

8 0
3 years ago
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