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Alexxx [7]
3 years ago
15

Eric plans to rent a car for a day from Easy Car Rental. He has a coupon for 25% off the daily base rate of $40. He will also ha

ve to pay an additional $0.15 for each mile he drives. Which expression represents the situation? (m represents the number of miles)
Mathematics
2 answers:
Volgvan3 years ago
8 0
In this situation, there are 2 separate terms (parts of the story).  The first part is the information about the coupon that applies to the daily rate of $40.  You will represent this as 0.75 (for the 75% that you will be paying) x 40.  (The other part of this story is that you are paying $0.15 per mile which is represented as 0.15m.  You need to put these together to get 0.75(40) + 0.15m.  The 0.25 times 40 can be simplified to say 30, so write it as $30 + $0.15m.
algol133 years ago
8 0

Answer:

30 + 0.15m

Step-by-step explanation:

base rate = 40(1 − 0.25) = 40(0.75) = 30

per mile = 0.15m

thus,

30 + 0.15m

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Find x (in degrees) in the following quadrilateral.
Ber [7]

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles in a quadrilateral is 360°. This means:

x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this

3 1/2x - 25 = 360° - now add 25 to both sides

3 1/2x = 385 - finally divide both sides by 3 1/2

x = 385 ÷ 3.5 = 110

x = 110°

Hope this helps!

5 0
2 years ago
Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7. The stock made $6,450 on top of the initial capital. If t
Ket [755]

"Since the ratio is 5:7 you can think in total there was 12 equal blocks of money invested. 5 of those blocks belonged to Jim and 7 of those blocks belonged to Gail. Since they invested $3,600 and then made $6,450 in total there is $10,050. Divide that total into 12 equal blocks of $837.50 and 5 of those blocks belong to Jim. So he will get $4,187.50"

7 0
3 years ago
Read 2 more answers
Solve for x. Round your answer to the nearest tenth. (one decimal place)<br><br> X=?? degrees
fredd [130]

Answer:

<em>Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)</em>

<u>Use tangent:</u>

  • tan x = 8/15
  • x = arctan (8/15)
  • x = 28.1° (rounded)
4 0
3 years ago
Find the equation of the line, in slope intercept form that passes through the point (-6,5) and has slope 1/3
nexus9112 [7]

Answer:

y = x/3 + 7

Step-by-step explanation:

Use the equation: y - y1 = m(x - x1)

Plug in the given values into the equation:

y - 5 = (1/3)(x + 6)

Simplify the right side:

y - 5 = (x/3) + 2

Finally, add 5 to both sides:

y = x/3 + 7

6 0
4 years ago
What is an equation of the line that passes through the points (-8, 1) and(7,1)?
likoan [24]

Answer:

y=1

Step-by-step explanation:

you can use those points to find the slope

use the equation \frac{y_{1} - y_{2}}{x_{1}-x_{2}} then plug in the numbers

so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.

so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then

you get y=0*x+1

then 0*x is just zero and it goes away so the equation for this line is y=1

Hope this helps! :)

8 0
3 years ago
Read 2 more answers
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