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QveST [7]
3 years ago
9

The paddle boat rental company charges a reservation fee of $8.25 plus $9.50 per hour to rent a paddle boat. Amanda says the alg

ebraic expression 8.25p + 9.50n represents the total cost of renting p paddle boats for n hours.
Which statement is true?
A. Amanda’s expression is correct.
B. Amanda’s expression is incorrect. The expression 8.25n + 9.50p represents the total cost of renting p paddle boats for n hours.
C. Amanda’s expression is incorrect. The expression n(8.25 + 9.50p) represents the total cost of renting p paddle boats for n hours.
D. Amanda’s expression is incorrect. The expression p(8.25 + 9
Mathematics
2 answers:
mina [271]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Snezhnost [94]3 years ago
3 0
The answer is D because for each paddle boat you rent, you pay the reservation fee and the money/hour. So the equation becomes: p(8.25n+9.40).
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3 years ago
Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei
Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points (x_1,y_1) and (x_2,y_2) is given by the formula

m = \frac{y_2-y_1}{x_2-x_1}

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

<u>In case of KM:</u>

(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)

Putting the values in the formula for slope

m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3

<u>In case of ST:</u>

<u></u>(x_1,y_1) = (12,14)\\(x_2,y_2) = (20,-10)<u></u>

Putting the values in the formula for slope

m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0
3 years ago
23-5+(17-2) x 3 + 5 to the power of 2
dedylja [7]
23-5+(17-2) x^3 + 5^2 \\ \\ 23 - 5 + 15x^3 + 5^2 \\ \\ 23 - 5 + 15x^3 + 25 \\ \\ 15x^3 + 43 \\ \\

The final result is: 15x^3 + 43.
7 0
3 years ago
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