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3 years ago

RATES AND RATIOS

Mathematics

1 answer:

docker41 [41]3 years ago

6 0

Blue to orange
6 : 5
24 : x

$24 \div 6 = 4 \\ 5 \times 4 = 20$

There are 20 orange M&M's.

Hope this helps. - M

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3 years ago

For what value of x is sq 896z^15/225z^6 = xz^4/15

Ratling [72]

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Given: $\sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z}$ ,.....[1]

To find the value of x:

Using exponent rules:

$(a^n)^m = a^{nm}$

$a^n \cdot a^m = a^{n+m}$

Taking square both sides in [1] we have;

$\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)$

Simplify:

$\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)$

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Multiply both sides by $\frac{225}{14z^9}$ we get;

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