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liq [111]
3 years ago
14

A class of 260 students went on a field trip. They took 12 vehicles, some cars and some buses. Find the number of cars and the n

umber of buses they took if each car holds 5 students and each bus holds 25 students. Let c= cars and b= buses.
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0
The equation is 5c+25b=260 when c+b=12. rearrange that into 12-b=c. substitute and you get 5(12-b)+25b=260. b=10. 12-10=2, so 10 buses and 2 cars were used as transportation for the field trip.
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A yard cleanup service charges a $345 fee plus $16.25 per hour. Another cleanup service charges a $213 fee plus $24.50 per hour.
Thepotemich [5.8K]

The time for the job for which the two company are the same is 16

<h3>How to form the equation and find the cost?</h3>

A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,

using linear equation,

y = mx + c

where

  • y = total cost
  • x = time

Therefore,

y = 345 + 16.25x

Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,

y = 213 + 24.50x

Hence, the time when both cost are the same is as follows;

213 + 24.50x =  345 + 16.25x

213 - 345 = 16.25x - 24.50x

-132 = -8.25x

x = 132 / 8.25

x = 16

learn more on equation here: brainly.com/question/2072580

4 0
2 years ago
Kaitlyn can run 1.35 miles in 12 minutes. What is her running speed per hour?
vazorg [7]

Answer:

the answer is 6.75

Step-by-step explanation:

12 x 5 = 60 60 = 1 hour so 1.35 x 5 = 6.75

7 0
2 years ago
Evaluate (6.1 x 10-3) (8 x 109). Write your answer in scientific notation and standard form.
DerKrebs [107]

Answer:

Scientific Notation: 4.88 ×10^7

Standard Form: 4.88 ×10^7

Step-by-step explanation:

6.1×10^(-3) = 0.0061

8×10^9 = 8000000000

0.0061×8000000000 = 48800000

= 4.88 \times  {10}^{7}

3 0
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13 times what gives you234
vampirchik [111]
You have to divide 234 by 13

the answer is 18
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Function has the same set of potential rational roots as the function
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<span>According to the Rational Root Theorem, the function has the same set of potential rational roots as the function </span>
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