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bija089 [108]
2 years ago
9

A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to ren

t the same truck. find the number of miles in a day at which the rental costs for Company A and Company B are the same
Mathematics
1 answer:
Alex787 [66]2 years ago
8 0

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

<h3>Rental cost</h3>

Let

  • Number of miles = x

Company A:

90 + 0.20x

Company B:

20 + 0.70x

  • Equate both rental cost

90 + 0.20x = 20 + 0.70x

90 - 20 = 0.70x - 0.20x

70 = 0.50x

  • Divide both sides by 0.50

x = 70/0.50

x = 140 miles

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

Learn more about rental cost:

brainly.com/question/11959610

#SPJ1

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n200080 [17]

Answer:

The probability is that he hits 5.6 out of 7 attempts.

Step-by-step explanation:

Given that an archer hits his target 80% of the time, if he shoots 7 arrows, to determine what is the probability of each event, the following calculation must be performed:

7 x 80/100 = X

560/100 = X

5.6 = X

Therefore, the probability is that he hits 5.6 out of 7 attempts.

6 0
3 years ago
The figure shows a regular hexagonal prism.
Scrat [10]

Answer:

A.415.69cm

b.323.14

Step-by-step explanation:

The height would be 10cm

The length would be 4cm

3 0
3 years ago
For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).
Ivanshal [37]

Answer:

\displaystyle F(b + 3) = b^2 + 4b + 7

Step-by-step explanation:

We are given the function:

\displaystlye F(x) = x^2 - 2x + 4

And we want to find F(<em>b</em> + 3).

We can substitute:

\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4

Expand:

\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4

Rearrange:

\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)

Combine like terms. Hence:

\displaystyle = b^2 +4b + 7

In conclusion:

\displaystyle F(b + 3) = b^2 + 4b + 7

6 0
3 years ago
Rafael is taking a test that contains a section of 12 true-false questions. how many of the possible groups of answers to these
stiv31 [10]
Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.

Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.

This is a combination problem. The formula would be:

12! / (8! x 4!) = 495
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3 years ago
naomi has earned $54 mowing lawns the past two days. she worked 2 1/2 hours yesterday and 4 1/4 hours today. if naomi is pains t
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Answer:

Naomi charges $8 an hour to mow lawns

Step-by-step explanation:

first day // 2 1/2= 2.5 hrs

2nd day // 4 1/4= 4.25 hrs

2.5hrs + 4.25hrs = 54hrs // 6.75hrs = 54hrs

/6.75    /6.75

= 8hrs

Really hope this helps!

8 0
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