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Darya [45]
3 years ago
13

at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.

what fraction of those students was just one of those children
Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

Answer:  Fraction of twins = \frac{5}{8} Fractions of triplets = \frac{1}{4} Fractions of quadruplets = \frac{1}{8}

Step-by-step explanation:

Since we have given that

Number of set of twins = 5

Number of sets of triplets = 2

Number of sets of quadruplets = 1

Total number of sets is given by

5+2+1=8

Now, we need to find the fraction of those students.

So, Fraction of twins is given by

\frac{5}{8}

Fractions of triplets is given by

\frac{2}{8}=\frac{1}{4}

Fractions of quadruplets is given by

\frac{1}{8}

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The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle​
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Answer:

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Given:

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Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

\\  \:  \:  \:  \:  \pink{ \dashrightarrow \:  \:  \:  \:  \sf { \underbrace{Area_{(Rectangle)} =  Length × Width  }}} \\  \\

On Substituting the required values, we get;

\\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x - 744 = 0 \\ \\ \\  \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x = 24 \:  or \:   - 31 \\ \\

As we know that width of the rectangle can't be negative. So x = 24

<u>Hence</u>,

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\thereforeLength of rectangle is 31 yards<u> </u>and Width is 24 yards.

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Based on the information given, the speed is 20 miles per hour.

From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.

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The speed will be:

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