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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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2. A sphere has surface area 16π. Find the radius of the sphere.
KiRa [710]

Answer:

The answer to your question is: 2.29 units

Step-by-step explanation:

Data

Volume = 16π

radius = ?

Formula

V = \frac{4}{3}π r^{3}

Process

                         16 π =  \frac{4}{3}π r^{3}

                         \frac{16(3)}{4} = r^{3}

                         r³ = 12

                        r = 2.29

7 0
3 years ago
Someone please help me
kap26 [50]

Answer:

The answer is x = 4

Step-by-step explanation:

1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9

2. Next you simplify the distributed equation, 3/4x + 6 = 9

3. Now subtract 6 from both sides, 3/4x = 3

4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3

5. Simplify, x = 4

8 0
3 years ago
Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot wo
evablogger [386]

if he works at the theater he can make $288 in 32 hours, if he works at his aunts he can make $224 in 32 hours. he should work at the theater to meet his goal.

I really hope this helps

4 0
3 years ago
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