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cestrela7 [59]
3 years ago
6

Sam and Lou need total of 1 foot wire for science project. sam's wire measured 8/12 foot long. Lou's measured 7/8 foot long. Do

they enough wire for the science project?
Mathematics
2 answers:
Nonamiya [84]3 years ago
6 0

Answer:

Yes , they have enough wire

Step-by-step explanation:

Given :

Sam and Lou need a total of 1 foot wire for science project.

Sam's wire measured 8/12 foot long.

Lou's measured 7/8 foot long.

To Find :  Do they have enough wire for the science project?

Solution :

Since Sam has  8/12 foot long wire.

Lou has 7/8 foot long wire.

Total wire they have :

\frac{8}{12} +\frac{7}{8}

\frac{16+21}{24}

\frac{37}{24}

1.5416

Thus they have 1.5416 foot wire

Since they required 1 foot wire .

So, they have enough wire.


Oksana_A [137]3 years ago
3 0
Yes because together they have a little more than one and a half feet of wire
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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

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∴ -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

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Learn more:

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