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NeTakaya
3 years ago
5

Fraction word problems Your strip of paper represents one lap on a track. Three students ran a relay and took turns running equa

l parts of the track. The race was three- fourths of a lap long. How much of the track did each ran ?
Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

A quarter (\dfrac{1}{4}) of one lap of the track.

Step-by-step explanation:

Three students ran ran a relay and took turns running equal parts of the track.

The race was three-fourths of a lap long.

Let the length of one lap of the track=x

The length of the race=\frac{3}{4}x

Since each of the students ran equal part,

Length run by each student

=\dfrac{3}{4}x \div 3\\=\dfrac{3}{4}x X \dfrac{1}{3}\\=\dfrac{1}{4}x

Therefore, each student ran a quarter (\dfrac{1}{4}) of one lap of the track.

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HELPPPP MEE PLEASEEE!!
ankoles [38]

Answer:

6 , 1

5 , 2

4 , 3

Step-by-step explanation:

Just swap the numbers.

7 0
3 years ago
Read 2 more answers
Matthew has 2 dozen eggs. He uses 3/4 of the first dozen and 5/6 of the second dozen for baking.
madreJ [45]

Answer:

5 eggs.

Step-by-step explanation:

Well, 3/4 of 12 is 9 and 5/6 of 12 is 10. So, 12 - 9 = 3 and 12 - 10 = 2

Therefore, Matthew has 5 eggs left over.

I hope I helped ^^

7 0
3 years ago
Solve for |2x + 4|-1=7
Rudik [331]

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

6 0
3 years ago
Tanya took a cab from her home to the airport. Her total fare including a tip of $5.00, was $28.50. EZ Cab Company has a pick-up
ValentinkaMS [17]
16.2 miles.

Since she paid a $5 tip, the cost for her fare was $23.50.  Let x be the number of 0.2-mile increments in the trip:
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This equation comes from the 2.50 home pick-up fee; $1 for the first 0.2-mile increment; and 0.25 for each other 0.2-mile increment.

Using the distributive property, we have:
23.50 = 2.50 + 1 + 0.25*x - 0.25*1
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Combining like terms,
23.50 = 0.25x + 2.75

Subtracting 2.75 from both sides, we have:
23.50 - 2.75 = 0.25x + 2.75 - 2.75
20.25 = 0.25x

Dividing both sides by 0.25, we have:
20.25/0.25 = 0.25x/0.25
81 = x

This means there are 81 0.2-mile increments in her trip.  81(0.2) = 16.2 miles
6 0
3 years ago
A rectangular napkin has an area of 88 square centimeters and a length of 8 centimeters.
Svetllana [295]
11 centimeters
This is because a rectangle has an area of length times width and so you can divide 88 by 8 to get 11
3 0
3 years ago
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