We’ll subtract the exponent in the denominator from the exponent in the numerator, keeping the base the same. Cant be simplified, because the base of the expression in the numerator is y and the base of the expression in the denominator is x.
Answer:
X=the smaller
y=the larger
The bigger of two numbers is four more than the smaller, then:
y=x+4
one more than twice the smaller is the same as the larger, then
1+2x=y
We have the following system of equations:
y=x+4
y=2x+1
We solve this system by equal values method:
x+4=2x+1
x-2x=1-4
-x=-3
x=3
We find the value of "y"now:
y=x+4
y=3+4
y=7
the values of x and y are:
x=3
y=7
Step-by-step explanation:
Answer:
FRACTION DECIMAL
1/5( 1*2/5*2=2/10) 0.2
3/10 0.3
1/2(1*5/2*5=5/10) 0.5
7/10 0.7
3/4(3*25/4*25=75/100) 0.75
<u><em>NOTE</em></u>: To conert a fraction into decimal, it is required that the denominator be changed into 10, 100, 1000 and so on..... By changing the denominator, we have to first select the appropriate number by which you will be able to convert it into 10, 100 or 1000, and you are also required to multiply that number with the denominator as well as numerator. In the first question, 1/5 we can convert the denoinator into 10, 100 or 1000 as the denominator is 5, whatever you choose, the answer will be correct, so, 1*2/5*2 gives 2/10. Since 10 has one zero, the decimal point moves one time towards the left, which gives 0.2. And you can do the rest according to this way, considering the number of zeroes.
Answer:
Step-by-step explanation:
Given equation:
Cube root both sides:
![\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%5B3%5D%7Bp%5E3%7D%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D)
![\implies p= \sqrt[3]{\dfrac{1}{8}}](https://tex.z-dn.net/?f=%5Cimplies%20p%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D)
![\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:](https://tex.z-dn.net/?f=%5Ctextsf%7BApply%20exponent%20rule%7D%20%5Cquad%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3A)
Rewrite 8 as 2³:
Simplify:
-5 because -5 plus 42 equals 37
