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3 years ago

In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, how many light colors are there.

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

Answer:32

Step-by-step explanation:

Since 5 dark colors are equal to 8 light colors, see how many times 5 goes into 20. 20/5=4. So now multiply 8 with 4. 8x4=32.

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Evaluate (−23)×(−23)3 by using the Laws of Exponents

Nikolay [14]

Given:

$\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3$

To find:

The value of given expression by using the Laws of Exponents.

Solution:

We have,

$\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3$

Using the Laws of Exponents, we get

$=\left(-\dfrac{2}{3}\right)^{1+3}$ $[\because a^ma^n=a^{m+n}]$

$=\left(\dfrac{-2}{3}\right)^{4}$

$=\dfrac{(-2)^4}{(3)^4}$ $[\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}]$

$=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}$

$=\dfrac{16}{81}$

Therefore, the value of given expression is $\dfrac{16}{81}$ .

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3 years ago

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Dahasolnce [82]

Answer:

hello,

answer C

Step-by-step explanation:

area of the rectangle=2b*b=2b²

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3 years ago

11. The doubling time of a population of plants is 12 years. Assuming that the initial population is 300 and that the rate of in

Anastasy [175]

Answer:

The population will be of 2400 in 36 years.

Step-by-step explanation:

The equation for the population of plants after t years follows the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial amount of plants and r is the yearly rate which it increases.

Assuming that the initial population is 300

This means that P(0) = 300.

The doubling time of a population of plants is 12 years.

This means that P(12) = 2*300 = 600.

We use this to find r.

$P(t) = P(0)(1+r)^{t}$

$600 = 300(1+r)^{t}$

$(1+r)^{12} = 2$

$\sqrt[12]{(1+r)^{12})} = \sqrt[12]{2}$

$1 + r = 1.05946$

$P(t) = 300(1.05946)^{t}$

How large will the population be in 36 years

This is P(36)

$P(t) = 300(1.05946)^{36} = 2400$

The population will be of 2400 in 36 years.

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zubka84 [21]

Answer:

Step-by-step explanation:

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3 years ago

0.000032 ÷ (8 × 10-3)<br><br> 4x10^-3

valkas [14]

Answer:

Step-by-step explanation:

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3 years ago

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