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3 years ago

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

Mathematics

2 answers:

Hatshy [7]3 years ago

5 0

Step-by-step explanation:

30/70 (divide by 10) is 3/7

12/30 (divide by 6) is 2/5

9/21 (divide by 3) is 3/7

6/14 (divide by 2) is 3/7

Hence 30/70, 9/21 and 6/14 are equivalent fractions

Therefore, the fraction 12/30 is the odd one out

Basile [38]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{30}{70} =\frac{30:10}{70:10} =\frac{3}{7}\\\\\frac{9}{21} =\frac{9:3}{21:3} =\frac{3}{7}\\\\\frac{6}{14} =\frac{6:2}{14:2} =\frac{3}{7}$

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Greatest common factor 84 and 100

harina [27]

Answer:

Step-by-step explanation:

100 = 2*2*5*5

84 = 2*2*3*4

the greatest common factor is a prime number whit most appearance in both numbers:

in this case the prime number is 2 and it is repeated twice in both numbers, hence 2*2 = 4

4 0

3 years ago

Read 2 more answers

The square of a number decreased by 3 times the number 28 find all possible values for the number

stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

$a^2 - 3a = 28$

$a^2 - 3a - 28 = 0$

Let us solve the above quadratic equation

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28$

$\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}$