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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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Answer:

z=-1

Step-by-step explanation:

First combine the like terms: -4z-11z+2z-(-6z)=-4z-11z+2z+6z=-15z+8z=-7z

Then solve after combining like terms:

\frac{-7z}{-7} =\frac{7}{-7}

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3 years ago
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The scatterplot shows the selling prices of homes and the square feet of living space.
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3 years ago
In a triangle the measurements of the angles are x°, ( x + 6)°, (2x + 10)°, and the sum of the three angles of a triangle is 180
34kurt

Answer:

largest angle = 92°

Step-by-step explanation:

Since the measurement of the angles are;

x°, ( x + 6)°, (2x + 10)°

And we know that sum of angles in a triangle is 180. Thus;

x + (x + 6) + (2x + 10) = 180

x + x + 6 + 2x + 10 = 180

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4x = 180 - 16

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x = 164/4

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The other two angles will be;

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7 0
3 years ago
You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a
Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

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Now put this value in P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)} , we get

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

P(B|Head) = 0.6 \times \frac{0.5}{0.35}

P(B|Head) = 0.857

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P(A|Head) = 0.857

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Step-by-step explanation:

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