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3 years ago

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Which expression is equivalent to 10/21

2 answers:

Gala2k [10]3 years ago

4 0

Answer:

20/ 42 is equivalent....

dexar [7]3 years ago

3 0

Answer:

$\frac{20}{42}$

Step-by-step explanation:

In order to find the answer to this question you just have to multiply the numerator and denominator by any integer.

In this case:

$\frac{10}{21}$

Multiply by 2:

$10 \times 2=20$

$21\times2=42$

$\frac{10}{21} =\frac{20}{42}$

Hope this helps.

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Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile d

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Answer:

Step-by-step explanation:

Base fee = $17.99

Additional charge = $0.95 for each mile driven

If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.

157.65 - 17.99 = 139.65

This means that the remaining $139.65 is how much he paid for the miles he drove.

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3 years ago

A teacher places n seats to form the back row of a classroom layout. Each successive row contains two fewer seats than the prece

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Answer:

The number of seat when n is odd $S_n=\frac{n^2+2n+1}{4}$

The number of seat when n is even $S_n=\frac{n^2+2n}{4}$

Step-by-step explanation:

Given that, each successive row contains two fewer seats than the preceding row.

Formula:

The sum n terms of an A.P series is

$S_n=\frac{n}{2}[2a+(n-1)d]$

$=\frac{n}{2}[a+l]$

a = first term of the series.

d= common difference.

n= number of term

l= last term

$n^{th}$ term of a A.P series is

$T_n=a+(n-1)d$

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n,n-2,n-4,........,5,3,1

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$T_n=a+(n-1)d$

Here $T_n=n$ , n=t, a=1 and d=2

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⇒(t-1)2=n-1

$\Rightarrow t-1=\frac{n-1}{2}$

$\Rightarrow t = \frac{n-1}{2}+1$

$\Rightarrow t = \frac{n-1+2}{2}$

$\Rightarrow t = \frac{n+1}{2}$

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$=\frac{{n+1}}{4}[1+n}]$

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Or we can write

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$\Rightarrow t = \frac{n-2+2}{2}$

$\Rightarrow t = \frac{n}{2}$

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$=\frac{n(2+n)}{4}$

$=\frac{n^2+2n}{4}$

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