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iris [78.8K]
3 years ago
5

5 points

Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer:

<em>The payment for driving 80 miles is $78</em>

Step-by-step explanation:

<u>Mathematical model </u>

Mathematical models are used in disciplines like natural sciences and engineering, among many others.

The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:

A fixed charge of $50

A variable charge or $0.35 per mile driven.

<em>Part A</em>

Using m as the number of miles driven for the day, the model for the payment for the car rental is:

P(m)=50+0.35m

<em>Part B</em>

Find the payment if the car is driven m=80 miles:

P(80)=50+0.35*80

P(80)=50+28=78

The payment for driving 80 miles is $78

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Angel has an action figure collection of 300 action figures. He keeps 267 of the action figures on his wall. What percentage of
Veseljchak [2.6K]

Answer:

89% of Angel's action figure collection keeps on his wall.

Step-by-step explanation:

<u>Percentages</u>

To calculate the X% of a quantity Y, we must multiply both numbers and divide by 100:

X% of Y = X * Y / 100

For example, 15% of 780 = 15 * 780 / 100 = 117

If we want to know what percentage is m with respect to n, we proceed as follows:

percentage = m / n * 100%

Anges has a 300 action figures collection, 267 of which are kept on his wall. Here m=267, n=300, thus:

percentage = 267 / 300 * 100% = 89%

89% of Angel's action figure collection keeps on his wall.

5 0
3 years ago
Solve<br> the quadratic equation<br> 4X^2+ 3x-27=0
maxonik [38]

Answer:

x = -3 or 9/4

Step-by-step explanation:

(x+3)(4x-9)

or use the quadratic formula

5 0
3 years ago
there arre 221 students on a fiel trip five students ride in a van the rest of the students fill the 6 buses enter an equation t
iren2701 [21]

According to the question statement, the total sum of students is 221, which includes the students that ride on bus and the students that ride in a van.

The students that ride in a van are five, the students that ride on bus are 6 times s which is the product of the number of buses and the number of students that are on each bus.

Write all this information into an equation, this way:

6s+5=221

Now, solve the equation for s to find the number of students that are on each bus.

\begin{gathered} 6s+5=221 \\ 6s=216 \\ s=\frac{216}{6} \\ s=36 \end{gathered}

There are 36 students on each bus.

3 0
1 year ago
Going down a water slide is a real-life example of a translation.<br><br> True<br><br> False
LiRa [457]
True i think because going down a water-slide is really a translation, because you are changing from one place to another. SO i believe it would be true. Sorry if this isn't correct.
7 0
3 years ago
Need help with these table what do I do?
Greeley [361]

Answer:

just ask it again

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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