Let Cedric's age be c
tyshon= 3c-3
3c-3 +c =3c+c-3 = 4c-3
4c-3=57
4c=60
c=15
tyshon=15×3-3 = 42
The probability of selecting a yellow marble is #of yellow marbles/total # of marbles= 6/30 or .2 or 20%
If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is 90.
9/30=.3 = the percentage of red marbles
.3(300) = 90
Answer:
8
Step-by-step explanation:
16 divided by 8 equals 2 then 24 divided by 8 equals 3 Answer: 8
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.
B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127
We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y
In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5
x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5
So the cost of each student is $3.5, and the cost of each teacher is $5.
Hope this helps! :)
