let's firstly convert the mixed fractions to improper fractions, and then subtract.
![\bf \stackrel{mixed}{5\frac{1}{4}}\implies \cfrac{5\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{21}{4}}~\hfill \stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{21}{4}-\cfrac{11}{3}\implies \stackrel{\textit{we'll use the LCD of 12}}{\cfrac{(3)21-(4)11}{12}}\implies \cfrac{63-44}{12}\implies \cfrac{19}{12}\implies 1\frac{7}{12}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B21%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B11%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B21%7D%7B4%7D-%5Ccfrac%7B11%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bwe%27ll%20use%20the%20LCD%20of%2012%7D%7D%7B%5Ccfrac%7B%283%2921-%284%2911%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B63-44%7D%7B12%7D%5Cimplies%20%5Ccfrac%7B19%7D%7B12%7D%5Cimplies%201%5Cfrac%7B7%7D%7B12%7D)
Answer:
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:
f = 30
Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:
f = 2 + 4*x
We can now find Michael's age, for that we need to isolate the "x" variable. We have:
f - 2 = 4*x
4*x = f - 2
x = (f-2)/4
x = (30 - 2)/4 = 7 years
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Answer:
-4(2d-5)
Step-by-step explanation:
-8d+20
-4(2d-5)
Answer:
4.58 is greater then 4.563
G(x) = ax^2
y = ax^2
16 = a1^2
a = 16
Therefore, g(x) = 16x^2
