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denis-greek [22]
3 years ago
8

What is the denominator between 1/3 and 2/7

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0
I find it's easiest to find the middle of numbers with a simple trick I learned just today!

First, you find out how much the distance is between the two numbers. 

0-1-2-3-4-5-6-7

If you count, there is a distance of four in between 3 and 7. So we do the next step. 

In the next step, all you need to do is split the distance of the numbers in half. Then we can subtract half fro the bigger number or add the half to the smaller half. 

4 / 2 = 2
7 - 2= 5, or 3 + 2 = 5

So the denominator between 1/3 and 2/7 is 0/5. You can add any number you want to the top I think. 
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Divide 30 by half and add 12. What do you get?​
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1. Suzette ran and biked for a total of 60 mi in 6 h. Her average running speed was 4 mph and her average biking speed was 12 mp
evablogger [386]

Suzette ran for 1.5 hours and biked for 4.5 hours

Step-by-step explanation:

The given is:

  • Suzette ran and biked for a total of 60 miles in 6 hours
  • Her average running speed was 4 mph
  • Her average biking speed was 12 mph
  • Let x = total hours Suzette ran
  • Let y = total hours Suzette biked

∵ x represents the total hours Suzette ran

∵ y represents the total hours Suzette biked

∵ Suzette ran and biked for a total 6 hours

∴ x + y = 6 ⇒ (1)

∵ Her average running speed was 4 mph

∵ Her average biking speed was 12 mph

∵ Distance = speed × time

∴ Her total distance = 4 x + 12 y

∵ Suzette ran and biked for a total of 60 miles

- Equate the two expressions of her total distance

∴ 4 x + 12 y = 60 ⇒ (2)

Now let us solve the system of equations to find the values of x and y

Multiply equation (1) by -4 to eliminate x

∵ (-4) x + (-4) y = (-4)(6)

∴ -4 x - 4 y = -24 ⇒ (3)

- Add equations (2) and (3)

∴ 8 y = 36

- Divide both sides by 8

∴ y = 4.5

∴ Suzette biked for 4.5 hours

- Substitute the value of y in equation (1) to find the value of x

∵ x + 4.5 = 6

- Subtract 4.5 from both sides

∴ x = 1.5

∴ Suzette ran for 1.5 hours

Suzette ran for 1.5 hours and biked for 4.5 hours

Learn more:

You can learn more about system of equations in brainly.com/question/6075514

#LearnwithBrainly

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negative two and the infinite symbol
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