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dem82 [27]
3 years ago
15

of the 24 students in Greg's class 3/8 ride the bus to school. How many students ride the bus to school?

Mathematics
1 answer:
Leto [7]3 years ago
4 0
In Greg's class 9 of the 24 students ride the bus to school.
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the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
Juan buys a pen for $1.75. what change he should receive if he gives the clerk $5.00?
Ksenya-84 [330]
Subtract 1.75 from 5.00
5.00-1.75= 3.25

6 0
3 years ago
Read 2 more answers
Write the equation of a line perpendicular to y= -1/3x + 5 and passes through the point (6, 4).
Levart [38]

Answer:

y = 3x - 14

Step-by-step explanation:

Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

4 = 3(6) + b

4 = 18 + b

-14 = b

Plug in the slope and y intercept into y = mx + b

y = 3x - 14

So, the equation of the line is y = 3x - 14

3 0
2 years ago
Simplify the expression.<br><br> 2+22÷4+3
Dmitrij [34]

Answer:

The answer is 10.5

Step-by-step explanation:

6 0
3 years ago
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question: graph of 2x cubed plus x squared minus
Zina [86]

Answer:

7

Step-by-step explanation:

f(x) = 2x^3 + x^2 − 3x + 1

f'(x) = 6x^2 + 2x − 3

The slope at -2:

f'(-2) = 6(-2)^2 + 2(-2) − 3

f'(-2) = 24 + -4 − 3

f'(-2) = 17

-----

The slope at 0:

f'(0) = 6(0)^2 + 2(0) − 3

f'(0) =  − 3

The average rate of change is (17+(-3))/2, or 14/2, or 7

                           

6 0
2 years ago
Read 2 more answers
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