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stich3 [128]
3 years ago
10

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+1200, where x is the number of rides. It cos

ts $40 per ride. How many rides does it take to break even?
Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer: it will take 40 rides to break even.

Step-by-step explanation:

Profit = Revenue - total cost

At the point of break even, there is no profit. It means that

revenue = total cost

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by

c = 10x + 1200

where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.

In order to break even, it means that

40x = 10x + 1200

40x - 10x = 1200

30x = 1200

x = 1200/30

x = 40

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kirill [66]

Answer:

<em>Felix earns total $594 per week.</em>

Step-by-step explanation:

Felix’s sales are $53000.

So, <u>the amount of sales over $4800 will be</u>:  \$53000-\$4800= \$48200

Felix earns $450 per week and additional 3% of sales over $4800.

So, his additional income = (\$4800\times 0.03)=\$144

Thus, Felix's total income will be:  (\$450+\$144)=\$594

3 0
3 years ago
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t
Maru [420]

Answer:

See explanation

Step-by-step explanation:

First plot points A, B, C and D on the coordinate plane and connect them to get quadrilateral ABCD. Then plot the vertices E, F, G, H of the quadrilateral EFGH in each case.

For each of these cases there are attached diagrams

1 case - reflection acraoss the x-axis

2 case - translation 5 units down

3 case - reflection across the y-axis

4 case - translation 7 units right

3 0
2 years ago
What is the area of the following trapezoid
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Answer:

d. 130

Step-by-step explanation:

3 0
2 years ago
John Jogger purchased a three-year membership at a local fitness center at the beginning of the year. It cost him $395 per year.
balu736 [363]
1. We need to find how many times John Jogger went to the gym. 

He goes 2x weekly for 13 weeks.

13 x 2 = 26 times in the first 3 months.

We still have another 9 months left. He goes twice monthly for each month.

9 x 2 = 18.

We add the total times he went to the gym for the first 3 months to the other 9 months in the year. 

26 + 18 = 44 times in one year. If we repeat this for 3 years, you get 44 x 3 = 132 gym visits in three years.

The gym membership is $395 per year. For three years this is 395 x 3 = $1185.

He went to the gym 132 times for a total of $1185. To find the price per visit, divide the total price by the amount of times he went to the gym.

1185/132 = ~$8.98 per gym visit.

2. If 13 weeks = 3 months (1/4 of a year), then there are 52 weeks per year. 

If he goes twice every week for 52 weeks, that's 52 x 2 = 104 times per year. If he kept this up for three years, that's 104 x 3 = 312 gym visits in three years.

At the price we found earlier of $1185 for a three-year membership, divide the price by the total number of visits to find the price per visit.

1185/312 = ~$3.80 per gym visit.
3 0
2 years ago
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The reciprocal of 16 in a fraction
Varvara68 [4.7K]

Answer:

The reciprocal of 16 is 1/16

Step-by-step explanation:

The reasoning for this is that the reciprocal of any number is the opposite of it.

Another example would be: The reciprocal of 1/2 would be 2/1

5 0
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