MATHEMATICS HIGH SCHOOL

Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 450 square feet. The material that will be used for three sides costs $15 per linear foot, and the material that will be used for the fourth side costs $18 per linear foot. Write a function that expresses the cost of fencing the region in terms of the length, x, of the two opposite sides of the region with material costs of $15 per linear foot.

Answers

Answer 1
Answer:

Answer:

30*x + 14850/x

Step-by-step explanation:

Let x be the length of the two opposite sides of the region with material costs of $15 per linear foot.

Let y be the length of the other two sides

Now, we have the following equations

Area of the rectangular región = x * y = 450 ft2

Total cost of fencing = 15*x + 15*x + 15 *y + 18*y

Total cost of fencing = 30*x + 33 *y

We now that area is equal to 450 ft2 = x*y

So y = 450/x

Now we can substitute y in equation for Total cost of fencing and obtain a function that expresses the cost of fencing the region in terms of the length, x

Total cost of fencing = 30*x + 33 *(450/x)

Total cost of fencing = 30*x + 14850/x

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Jeremy is shopping online for skating equipment. He buys a longboard complete with trucks and wheels for $146.25. At checkout, Jeremy gets a discount of $21 on his purchase. The final amount that Jeremy will be billed is $.

Answers

Answer:

$125.21

Step-by-step explanation:

Screen shot for math

Answers

Answer:

18. 150

19.   They are not congruent

20. 60

Step-by-step explanation:

18. <EBC is 180 degrees so subtract by 30 because of angle F lowering the degree number by 30 and you get 150 degrees.

19. They are not congruent because they are not the same degree number and they aren't complementary because they don't equal 90 degrees. They aren't supplementary because they don't equal 180 degrees.

20. You get this by writing the equation 90-30 because angle F raises which lowers the angle dregree number by 30. So 90-30=60. Therefore, the answer is 60.

Find ratio equal to 12:7

Answers



12:7
12(2):7(2)
24:14

12:7 = 24:14
I hoped I helped(:
12:7
You can multiply it by like anything so....
Like if you multiply it by two it will equal
24:14
Or by 3
36:21
It by 4
48:28
It really doesn't matter which one because all the ratios that I just gave you are all equal to 12:7
I really hope I helped

I am not sure if this is right can someone check it ASAP please

Answers

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

4x-12 =28

Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

7-^3
Simplify this expression. Use 7 as the base.

Answers

Hopefully this photo helps

at the flower shop, there are 5 times as many roses as sunflowers. if there are 252 roses and sunflowers altogether, how many roses are there? how many sunflowers are there?

Answers

since there are 5 times as many roses as sunflowers, that should mean the sunflower is 1 times.
5+1=6.
now you divide 252 and 6 to get 42.

sunflowers= 42
roses= 42 x 5 = 210
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