Answer:
20,365.7 seconds
Step-by-step explanation:
First, we need to know how to convert yards to miles, as the question is in miles. We know that 1 mile is equivalent to 1760 yards. So we have:
1 mi = 1760 yards
If we multiply both sides by 81:
81 mi = 142,560 yards
And we know that the sprinter needs 8 second to run 56 yards:
8 s = 56 yards
If we divide both sides by 56 we get the time he needs for 1 yard:
8/56 s = 56/56 yards
1/7 s = 1 yard
So, takes him 1/7 seconds to run one yard. At this rate he runs 142,560 yards in:
(1/7) * 142,560 = 20,365.7
So, he needs 20,365.7 seconds to run 81 miles (142,560 yards)
The students rented 4 small cars and 8 large cars.
Step-by-step explanation:
Given,
Number of people in small car = 4
Number of people in large car = 7
Total people in both type of cars = 72
Let,
x represent the number of small cars rented.
y represent the number of large cars rented.
According to given statement;
4x+7y=72 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 18

Putting x=4 in Eqn 2

The students rented 4 small cars and 8 large cars.
Keywords: linear equation, substitution method
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It’s a good step because you know where you are at in present time as well as looking ahead into the future financially.
Answer:
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Answer:
Child tickets are 97
Step-by-step explanation:
x + y = 175 ...............(1)
x = 175 - y
5.90x + 9.10y = 1282.10. .........(2)
5.90 (175 - y) + 9.10y = 1282.10
1032.50 - 5.9y + 9.10y = 1282.10
3.2y = 249.60
y = 249.6. / 3.2
y = 78
From equation 1
x + y = 175
x + 78 = 175
x = 175 - 78
x = 97