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vova2212 [387]
2 years ago
10

A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint usi

ng 21 pounds of blue paint how much yellow paint would you need
Mathematics
1 answer:
kari74 [83]2 years ago
4 0
I’m not too sure, I tried dividing 21 by 9 which then I got 2.3333 so then I multiplied that and 12 and got basically 28
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A line that includes the point (0,0) has a slope of -9. What is its equation in slope-intercept
ikadub [295]
Y=-9x because y=mx+b is the formula so plug in the slope, m(-9) and the x-intercept, x(0)
3 0
3 years ago
a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0
3 years ago
Help pls, I need Help :D
Oliga [24]
Answer:

5

Step-by-step explanation:

Step 1. Get two points off the graph

Points: (-70, 0) and (-60, 50)

Step 2. Use the two points to find the slope

m = slope

m = change in y/change in x

m = y2 - y1/x2 - x1

m = 50 - 0/-60 - -70

m = 50/10

m = 5/1

m = 5

The slope is 5

3 0
2 years ago
Solve for n:<br> 3n + 2n - 17 = 38
Lyrx [107]
Get all the n together so 3n+2n=5n
5n-17=38
Minus 17 from both sides
5n= 55
N= 11
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to cos(1.4x) − cos(0.6x)?
givi [52]

Answer:

  A.  -2sin(x)sin(0.4x)

Step-by-step explanation:

At x=0, the given expression evaluates to zero.

For x near zero, the given expression is slightly negative. You know this because cos(1.4x) decreases faster than cos(0.6x), so their difference will be negative.

Of the answer choices, you can eliminate C and D because they are not zero at x=0. You can eliminate choice B, because it is positive for values of x near zero. The only viable choice is A:

   -2sin(x)sin(0.4x)

___

Of course, a graphing calculator can help you figure this out. See the attachment. The given expression is plotted using a solid red line; the answer choice A is plotted using blue dots.

5 0
3 years ago
Read 2 more answers
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