Answer:
He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.
Step-by-step explanation:
A third of 6 is 2 and half of six is 3.
9 has factors of 3*3.
2 is prime, so no factors.
from those two denominators, we can get the LCD of hmmm simply their product, namely 18.
![\bf \cfrac{4}{9}+\cfrac{9}{2}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)4+(9)9}{18}}\implies \cfrac{8+81}{18}\implies \cfrac{89}{18}\implies 4\frac{17}{18}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B4%7D%7B9%7D%2B%5Ccfrac%7B9%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%2018%7D%7D%7B%5Ccfrac%7B%282%294%2B%289%299%7D%7B18%7D%7D%5Cimplies%20%5Ccfrac%7B8%2B81%7D%7B18%7D%5Cimplies%20%5Ccfrac%7B89%7D%7B18%7D%5Cimplies%204%5Cfrac%7B17%7D%7B18%7D)
now, recall that, to get the mixed fraction, we divide 89 ÷ 18, the quotient goes up front, the "4", and the remainder is the one atop, the "17".
You know that there are 25 people and each person had 36 carrots. To find how many carrots everyone has in total, you have to multiply 25 by 36.
25 times 36 is 900.
There are 900 carrots altogether.
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.