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3 years ago

Mia has 9 books. One third of her books are fairy tales. How many of mia's books are fairy tales?

Mathematics

2 answers:

Yuri [45]3 years ago

8 0

The answer is 3

Hope this helps!

Gemiola [76]3 years ago

7 0

3 of Mia's books are fairy tales.

9x1/3=3

or you can look at the reverse

3x3=9 so therefore 1/3 would have to be 3.

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Last year, the number of students enrolled in the school was 672. If this number increases by 12% the next year, how many studen

ludmilkaskok [199]

Answer:

$753$ students

Step-by-step explanation:

Last year number of students $=672$

Increase in next year $=12\%$

$\left( x\%\ of\ an\ amount\ A =\frac{x}{100}\times A \right)$

$12\%$ of $672=\frac{12\times672}{100}=80.64$

So total increase in next year $=80.64\approx81$

Hence total number of students next year = number of students last year $+$ increase

$=672+81\\=753$

3 0

3 years ago

The length of a rectangle is 4 inches more than 4 times the width. The perimeter is 138 inches. Find the length and the width.

MatroZZZ [7]

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gladu [14]

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Step-by-step explanation:

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3 years ago

Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$