1) Ratio - 4:1
thus, 4x + 1x = 20
5x = 20
thus, x = 20/5 = 4
thus, x = 4
and, 4x = 16
Thus, the answer is (C) 16 boys and 4 girls
2) According to distributivity, a(b+c) = ab + ac
Thus, the answer is (C)
Answer:
1/4h
Step-by-step explanation:
The car trip is 1/2h shorter than the bus trip.
The bus trip is 3/4h long.
Therefore, the length of the car trip is:
3/4h - 1/2h = 1/4h
The car trip is 1/4h long.
Hey there! I'm happy to help!
The greatest common factor is the largest factor that both numbers contain. Let's look at the factors of these terms.
12x²: 1, 12, 2, 6, 3, 4, x, x
15x³: 1, 15, 3, 5, x, x ,x
We see that both of these numbers contain a 3 and 2 x's, so our GCF would be 3x².
Have a wonderful day!
Answer:
3x
Step-by-step explanation:
-(x-1) +5 = 2(x+3) - c
C is the unknown term
Distribute the negative sign and the 2
-x+1 +5 = 2x+6 -c
Combine like terms
-x+6 = 2x +6-c
Solve for c
Add x to each side
-x+x +6 = 2x+x +6-c
6 = 3x+6 -c
Add c to each side
6+c = 3x +6 -c+c
c+6 = 3x+6
Subtract 6 from each side
c+6-6 = 3x+6-6
c = 3x
When c = 3x, the two sides of the equation are equal, and the solutions are infinite.
Answer:
3 games
Step-by-step explanation:
The computation of the maximum number of games that he could buy is shown below:
= Amount available - already spent
= $75 - $28
= $47
If each game cost $15
So, the maximum no of games is
= $47 ÷ $15
= 3.133
= 3 games