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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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A recipe uses 5 cups of sugar for every 2 cups of sugar how much flour is used with 7 cups of sugar
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Answer:

35 cups of flour is used with 7 cups of sugar

Step-by-step explanation:

5 0
3 years ago
Two teachers purchase supplies for their classrooms.
inna [77]

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0
2 years ago
If A (-3, 4) is one endpoint of a segment and B(-4,7) is the midpoint of the segment, find the other endpoint.
Nutka1998 [239]

Answer:

Take the slopes, such that 7-4/-4+3= 3/-1=-3

So one endpoijt is (-5,10)

8 0
2 years ago
There are 32 girls and 18 boys in the chorus. what percent of the students in the chorus are girls?
klio [65]
So the total number of students is 50, and you want to find 32/50. and that is equal to 64%
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3 years ago
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Answer:

I bet you're smarter than me so you can figure it out

Step-by-step explanation:

good thing you aint like me

7 0
3 years ago
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