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Leya [2.2K]
2 years ago
7

Rapid Rental Car charges a $40 rental fee, $25 for gas, and $0.65 per mile driven. For the same car, Capital

Mathematics
1 answer:
marishachu [46]2 years ago
6 0
<h2>Equation </h2>

40 + 15 + 0.25x = 45 + 0.35y

<h3>Solution </h3>

55 + 0.25x = 45 + 0.35y The only way you can do this is to assume that x and y are equal

subtract 45 from both sides

55 - 45 + 0.25x = 0.35x

10 + 0.25x = 0.35x Subtract 0.25x from both sides.

10 = 0.35x - 0.25x

10 = 0.1x Divide by 0.1

10/0.1 = x

x = 100 So if each car goes 100 miles, it should turn out to be the same no matter which company gets the rental.

Let's see if that is true.

Cost for the first company = 40 + 15 + 0.25x = 55 + 25 = 80 dollars.

Cost for the second company = 45 + 0.35x = 45 + 35 = 80 dollars.

Conclusion

Both rentals charge the same total amount when each car is driven 100 miles.

The charge is 80 dollars.

Hope this helped! :)

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Morgarella [4.7K]
Answer: 3 11/12
Explanation: convert the fractions 1/4 and 1/3 to fractions with a denominator of 12. Your fractions become 3/12 and 4/12. Subtract 4/12 from 5 3/12 and get 4 11/12. Subtract one and get 3 11/12.
7 0
3 years ago
5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?
devlian [24]

Answer:

1:4:1.5

Step-by-step explanation:

8 0
2 years ago
HELP! BRAINLIEST!
kogti [31]

Answer:

Given that rotating 90 degrees clockwise around the origin switches the x andy values and makes the new y value negative, we can, for example, switch (2, 1) to (1, -2). 180 degrees clockwise simply makes both values negative (-2, -1), and 270 degrees clockwise switches them and makes the new y value negative  (-1, 2), we can plug those in to our JM endpoints to turn (-5, 1) into (-1, -5) and (-6, 2) into (-2, -6)

Step-by-step explanation:

6 0
3 years ago
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the
liberstina [14]

Answer:

<u>188 children</u> and <u>145 adults</u> were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u>x.<u><em /></u>

<u><em>And the the number of adults admitted be </em></u>y.<u><em /></u>

So, the total people enter the park:

x+y=333\\\\x=333-y\ \ \ ...(1)

Thus, the total amount collected of the admission fee:

1.50(x)+4(y)=862\\\\

Substituting the value of x from equation (1):

1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.

<u><em>Thus, the number of adults = 145.</em></u>

Now, to get the number of children by substituting the value of y in equation (1) we get:

x=333-y\\\\x=333-145\\\\x=188.

<u><em>Hence, the number of children = 188.</em></u>

Therefore, 188 children and 145 adults were admitted in the park.

4 0
3 years ago
A rectangular bedroom is 4 ft longer than it is wide. Its area is 140 ft2. What is the width of the room? ft
steposvetlana [31]

Answer: width = 10 ft

Step-by-step explanation:

Area = length × width

Let l be length and w be width

l = w + 4 ........equation (1)

From above formula

140 = l × w. ........equation (2)

Substitute equation (1) into equation (2)

140 = (w+4) × w

w^2 + 4w= 140

w^2 + 4w - 140= 0

By factorization method

(w+14)(w-10)= 0

w=-14 or w= 10

So now width is 10 ft

From equation(1)

l=w+4

l= 10+4

l= 14 ft

Width = 10 ft and length = 14 ft

3 0
3 years ago
Read 2 more answers
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