6 = 8f - 2f
6 = 6f
f = 1
there is no leftover as each friend get 1 cup
Answer:
Step-by-step explanation:
Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...
5(s+4) = (s+32)+4
5s +20 = s +36 . . . . . eliminate parentheses
4s = 16 . . . . . . . . . . . . subtract s+20
s = 4
The son is now 4 years old; the father, 36.
_____
<em>Alternate solution</em>
In 4 years, the ratio of ages is ...
father : son = 5 : 1
The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...
father : son = 40 : 8
So, now (4 years earlier), the ages must be ...
father: 36; son: 4.
Answer:
No solution
Explanation:
-4+19-7f = -15-7
cancel terms on both sides ( add 7f on both sides)
Calculate the sum
-4+19= -15
-4+19=15
15 = -15
The statement 15 = -15 is false so there is no solution :)
Since (4y-42) and 2y are opposite angles, they equal to each other which looks like this:
4y-42 = 2y
From there you want to put the y onto one side:
4y-2y-42=0 -----> 2y-42=0
You want to balance the equation out and move the -42 onto the other side so you add it to both sides to get:
2y=42
Then divide both sides by 2 to get:
y= 21
From there you can plug 21 back into the original equation to find each angle.
4(21)-42 = 2(21) ---> 84-42 = 42 ---> 42 = 42
So y = 21 and each angle is 42 degrees
