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MA_775_DIABLO [31]
3 years ago
5

18. Emma rents a car from a company that rents cars by the hour. She has to pay an initial fee of $75, and then they charge her

$9 per hour. Write an equation for the total cost Cif Emma rents the car for h hours. If Emma has budgeted $250 for the rental cars, how many hours can she rent the car? Assume the car cannot be rented for part of an hour.​
Mathematics
1 answer:
love history [14]3 years ago
5 0

Step-by-step explanation:

Let h be the number of hours.

Total Cost = Fixed Costs + Variable Cost

= Initial Fee + Hourly Charge

= 75 + 9h

Given,

75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\  = 19 \frac{4}{9} hr

Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.

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Through: (2,5), perp. to y =- 2/3x +3
chubhunter [2.5K]

Find the equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3

<h3><u>Answer:</u></h3>

The equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3 in slope intercept form is y = \frac{3}{2}x + 2

<h3><u>Solution:</u></h3>

Given that line passes through (2, 5) and perpendicular to line having equation y = \frac{-2}{3}x + 3

Let us first find slope of original line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing the slope intercept form y = mx + c and given equation of line y = \frac{-2}{3}x + 3 we get

m = \frac{-2}{3}

Thus slope of given line is m = \frac{-2}{3}

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

Slope of given line x slope of line perpendicular to it = -1

\begin{array}{l}{\frac{-2}{3} \times \text { slope of line perpendicular to it }=-1} \\\\ {\text { slope of line perpendicular to it }=\frac{3}{2}}\end{array}

Let us find equation of line with slope m = \frac{3}{2} and passes through (2, 5)

Substitute m = \frac{3}{2} and (x, y) = (2, 5)

5 = \frac{3}{2} \times 2 + c\\\\5 = 3 + c\\\\c = 2

<em><u>Thus the required equation of line is:</u></em>

Substitute m = \frac{3}{2} and c = 2 in eqn 1

y = \frac{3}{2}x + 2

Thus the equation of line perpendicular to given line is found out

5 0
3 years ago
Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coins does she have?
Nookie1986 [14]

Answer:

There would be 24 dimes and 76 quarters.

Step-by-step explanation:

In order to find this, start by defining the number of dimes by x and the number of quarters as y. Now we can create a system of equations. Make the first about the total number of coins.

x + y = 100

Make the second about the amount of money.

.10x + .25y = 21.40

Now we can solve using elimination by multiplying the second equation by -4 and adding through.

x + y = 100

-.40x - y = -85.60

-----------------------

.60x = 14.4

x = 24

Now we can use the amount of dimes we have to find the number of quarters.

x + y = 100

24 + y = 100

y = 76

3 0
3 years ago
Calvin work as an air conditioning contractor the customer wants to buy an air condition for his family room his room measure 30
Verdich [7]
ANSWER

3840 {ft}^{3}

EXPLANATION

The room represents a rectangular prism or a cuboid.

The dimensions of the room are 30 feet by 16 feet by 8 feet(height).

The volume of a rectangular prism is

= base \: area \: \times \: height

Substitute the given values

= 30 \times 16 \times 8 {ft}^{3}

Simplify:

= 3840 {ft}^{3}

Hence the cubic feet of air in the room is 3,840ft³.
6 0
3 years ago
Two students start a club the first week of school. Each member invites three new members the second week of school. Each of the
Mekhanik [1.2K]
I'll just make a manual computation on how 1 member recruits his members until week 5. Then multiply the sum by 2.
                                old      new
1:   1
2:   1 x 3 = 3 ⇒        1         3       *only new members recruit 3 more
3:   3 x 3 = 9 ⇒        4         9 
4:   9 x 3 = 27⇒     13       27
5: 27 x 3 = 81 ⇒    40       81

40 + 81 = 121. Total number of members under 1 founding member.

121 x 2 founding members = 242 total number of members within 5 weeks.
3 0
3 years ago
Read 2 more answers
In a certain game, each player scores either 2 points or 5 points. if n players score 2 points and m players score 5 points, and
solniwko [45]
I don't know sorry.....
8 0
3 years ago
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