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Makovka662 [10]
3 years ago
14

3s+9c=75 8s+5c=67 S=? C=?

Mathematics
1 answer:
prisoha [69]3 years ago
3 0
C = 7 and S = 4 hope this helps!
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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.
RUDIKE [14]
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

xy = 288  \\  \\  \\  \\ \Rightarrow y= \frac{288}{x}

Substituting for y into the equation for the length of fencing needed, we have

P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}

For the amount of fencing to be minimum, then

\frac{dP}{dx} =0 \\  \\ \Rightarrow1- \frac{576}{x^2} =0 \\  \\ \Rightarrow \frac{576}{x^2} =1 \\  \\ \Rightarrow x^2=576 \\  \\ \Rightarrow x=\sqrt{576}=24

Now, recall that

y= \frac{288}{x} = \frac{288}{24} =12

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.
8 0
3 years ago
Evaluate this exponential expression.
Afina-wow [57]
It's -32 since 10-42=-32
8 0
3 years ago
I sent pic for help. Question has 3 parts
anastassius [24]
P(head)=178/200
=89/100
4 0
2 years ago
I really need help, I’m having a quiz tomorrow yet I struggle to understand the concept of this stuff...
uranmaximum [27]

Here it goes:

a. Because you have four blue marbles out of the 12 total marbles, the probability is 4/12. YOU MUST SIMPLIFY down to 1/3.

b. There are 12 marbles in the bag right now, and the probability is 4/12, you must add some marbles. 1/10 multiplied by 4 is 4/40. There are 4 blue marbles right now, and 40 minus the 12 there are right now is 38, so you would need to add 38 non-blue marbles.

3 0
3 years ago
Franklin walked 1/2 mile in 8 1/2 minutes. What is he unit rate in miles per minute
Kryger [21]
There are 2 half-miles in a mile. Thus, doubling 8.5 minutes will give you the answer. 2(8.5)=17 minutes per mile or .17 miles per minute. 
3 0
3 years ago
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