The function C(x) = 29x + 54.5 represents the cost (in dollars) of cable for x months, including the $54.50 installation fee. a. How much would you have spent on cable after 6 months?

b. How many months of cable service can you have for $344.50?

Answers

Answer 1
Answer:

Answer:

a. \$228.5

b. 10 months.

Step-by-step explanation:

a. Given the function the following function:

C(x) = 29x + 54.5

 You can calculate the amount of money (in dollars) you would spent on cable after 6 months through this procedure:

- Substitute x=6 into the function:

C(6) = 29(6) + 54.5

- Evaluating, you get:

C(6) =228.5

b. The steps to calculate the number of months of cable service that you can you have for $344.50, are:

- Rewrite the function in this form:

y = 29x + 54.5

- Substitute y=344.50 into the function and then solve for "x":

344.50= 29x + 54.5\n\n290=29x\n\n(290)/(29)=x\n\nx=10


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12 out of 18 students buy pizza for lunch on Fridays. At this rate if there are 240 students in the entire school, how many students can be expected to buy pizza for lunch this Friday?

Answers

160. This is because u take the total(240) divide it by 18 and multiply by 12.


however, you can also simplifiy the fraction (12/18) into (2/3) and divide by the bottom denominator (3) and multiply by the top numerator. ;)

Which of the following is true for two complementary angles ∠RST and ∠TSU?Question 4 options:

A)

m∠RST + m∠TSU = 90°

B)

m∠RST + m∠TSU = 180°

C)

m∠RST = m∠TSU

D)

m∠RST = ½ × m∠TSU

Answers

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Complementary angles ⇒ If the sum of two angles becomes 90 degrees, we can say that this is a complementary pair of angles.

In the given situation angle ∠RST and ∠TSU are a pair of complementary angles.

∠RST + ∠TSU = 90° (Complementary angles)

So, we say that the option "A" is the correct answer.

Answer:

Option A

Step-by-step explanation: I took the test

What is 1.64 million rounded to the nearest million

Answers

1.64 million rounded to the nearest million is 2 million.
2 million. Rememer. If you are rounding, if its 5 or more up the score, for or less let it rest. 

Which of the following is an example of direct variation?A) y= x - 2
B) y= 2(x + 5)
C) x - 3y = 0
D) x= y + 3

Answers

Answer:

C

Step-by-step explanation:

Direct variation is a special case of first order equations; in both cases, the input is multiplied by a constant which we call the "slope" or "constant of variation."  However, no direct variation equation includes a constant ("y-intercept").  So, if a given equation does have a y-intersect, that equation does not represent direct variation; if it does NOT have a y-intercept, that equation represents direct variation.

A)  involves a constant term, -2; NOT direct variation

B)  involves a constant term, 10; NOT direct variation

C)   Here 3y = x, or y = x/3, involves no constant term, so Does represent direct variation

D)  involves a constant term -3; NOT direct variation

These too please i’ll cry if i don’t figure this out

Answers

Answer:

PO = 11, LQ = 4, NQ = 12, perimeter of NLP = 24

Step-by-step explanation:

The centroid is the point where the medians intersect each other.

A median divides the side it intersects in 2 equal parts.

So, if NP = 11, then PO = 11

The medians of a triangle intersect each other in the ratio 2:1

So, if NL = 8, then LQ = 4 and NQ = 8+4 = 12

if ML = 10, LP = 5

Finally, the perimeter of the triangle NLP is

NL + NP + LP = 8 + 11 + 5 = 24

10 3/4*5 1/4*9 1/2 as a mixed number

Answers

Answer:

43/4.    21/4.   19/2

Step-by-step explanation:

You multiply the decimator and add the nunimator