The rule when an exponent is raised by another exponent is:
(a^b)^c = a^(b*c)
In this case:
(4^3)^5
4^(3*5)
4^15
2(4+2) so the answer is 12
Answer:
35 dogs
Step-by-step explanation:
Given
Required
Determine the number of dogs for 20 cats
Represent the required number of dogs as a ratio of number of cats
So, we have:
Since, the ratio is the same throughout, we have:
=
Convert ratio to fraction
Multiply through by 20
To make the divisor and the dividend a whole number they bothneed to be multiplied by 100
<span>x/9 = 8/36 </span>
<span>x = 9 * 8/36 [multiplying each side by 9] </span>
<span>x = 2 </span>
<span> </span>
<span>x/90 = 4.4/12 </span>
<span>x = 90 * 4.4/12 [multiplying each side by 90] </span>
<span>x = 33 </span>
<span>Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: </span>
<span>2/7 = j/28 [lemon juice to water] </span>
<span>8 = j [multiplying each side by 28] </span>
<span>7/2 = 28/j [water to lemon juice] </span>
<span>7j = 56 [multiplying each side by 2j] </span>
<span>j = 8 [dividing each side by 7] </span>
<span>The length proportion is 24 in to 32 ft. </span>
<span>The actual house is 24 ft tall. </span>
<span>Let x represent the doll house height, in inches. Then </span>
<span>x/24 = 24/32 </span>
<span>x = 24 * 24/32 = 18 inches</span>
