Let's say Jackson's age now is x.
In 20 years, (so 20+x), Jackson seven years ago will be 2/5ths of that age.
So 2/5(20+x)=x-7
Then you solve the equation
8+2/5x=x-7
15=3/5x
x=25
Jackson is 25 years old.
Let's check our answer! In 20 years, Jackson will be 45. 7 years ago, he was 18. 2/5 of 45 is 18. Our answer is correct!
Answer:
see below
Step-by-step explanation:
If suffices to look at the last term. It must simplify to 4/(3w²), so the exponents of z must match in numerator and denominator, and the ratio of constants must reduce to 4/3.
The exponents of z have the right values in choices B and D, but the ratio of constants only matches in choice D. Looking at the rest of choice D, we see that we can factor 6w²z² from both numerator and denominator, then factor 2 from the remaining numerator to make it match the desired form.
![\dfrac{(12w^2z^4-24w^2z^2)}{18w^4z^2}=\dfrac{6w^2z^2}{6w^2z^2}\cdot\dfrac{2z^2-4}{3w^2}=\dfrac{2(z^2-2)}{3w^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%2812w%5E2z%5E4-24w%5E2z%5E2%29%7D%7B18w%5E4z%5E2%7D%3D%5Cdfrac%7B6w%5E2z%5E2%7D%7B6w%5E2z%5E2%7D%5Ccdot%5Cdfrac%7B2z%5E2-4%7D%7B3w%5E2%7D%3D%5Cdfrac%7B2%28z%5E2-2%29%7D%7B3w%5E2%7D)
Answer: 20%
Step-by-step explanation:
To find the total number of problems Emilia solved, we can first add 19 and 76 to get:
19 + 76 = 95
Next, to find how many problems Emilia got correct out of the total, we can use the number of problems correct (19) and divide it by the total number of problems (95) to get:
19 ÷ 95 = 0.2
Finally, to make 0.2 a percentage, we can multiply it by 100 to get:
0.2 X 100 = 20
Therefore, Emilia got 20% of the problems correct.
Answer:
-8100
Step-by-step explanation:
(2/5)^-2(-3)^4
Given data
and second term
The first term= (2/5)^-2 and
Second term=(-3)^4
Simplify the first term
(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2
=1/4/ 1/25
=1/4*25/1
=100
Simplify the second term
=(-3)^4
= -81
Hence, 100*81
=-8100