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geniusboy [140]
2 years ago
10

John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul ru

ns is 5:8.
Mathematics
1 answer:
nirvana33 [79]2 years ago
4 0

Answer:

Step-by-step explanation:

For example,

<u>Solution: Finding a unit rate</u>

If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5 minutes mile × 6 miles = 45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

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HELP!!!!!! 100 POINTS!!!!!!
Artyom0805 [142]

The equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

  • Kyle and Lauren teach swimming lessons during the summer. Kyle has 8 classes with g students in each class and 6 classes with h students in each class.
  • Lauren has 5 classes with g students in each class and 10 classes with h students in each class.
  • If Kyle has a total of 62 students and Lauren has a total of 70 students,

The equation made by the given situation is:-

For kyle, there are g students attending 8 classes sp total number of students will be 8g similarly for h students there are 6 classes so the total number of h students will be 6h. The total number of students for both g and h students attending kyle's class is 62. So the equation will be given as:-

8g   +  6h  =  62

Now for Lauren, there are g students attending 5 classes so the total number of students will be 5g similarly for h students there are 10 classes so the total number of h students will be 10h. The total number of students for both g and h students attending Lauren's class is 70. So the equation will be given as:-

5g  +  10h  =  70

Therefore the equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.

To know more about expression follow

brainly.com/question/723406

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3 0
2 years ago
Can someone please help me :(((((((
Inessa [10]
It looks like a rotation of 270 degrees counter-clockwise and a dilation (enlargement) of 2 times.

Hope this helps answer your question!
5 0
3 years ago
Three times the difference of a number and seven is negative three. Fi<br> nd the number.
postnew [5]
3(x-7)=-3
3x-21=-3
3x=18
x=6
6 0
3 years ago
Suppose that 23 inches of wire costs 92 cents. At the same rate, how much (in cents) will 19 inches of wire cost?
REY [17]

Answer:

76 cents

Step-by-step explanation:

23 inches = 92 cents

1 inches = 92 ÷ 23

= 4 cents

19 inches = 19 × 4

= 76

5 0
2 years ago
ALG 2<br> 7x+y=9<br> solve for y
____ [38]

7x+y-9=0

move constant to the left by adding its opposite to both sides. the sum of the two =0

5 0
3 years ago
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