Let c be children and a adults.
3.5c + 7a = 1771 (the total revenue is equal to the amounts made off of people)
c + a = 331 (total number of people)
The second formula becomes a = 331 - c. This can be substituted into the first formula.
3.5c + 7(331 - c) = 1771 = 7*331 - 3.5c = 1771. 7*331 = 2317, so 3.5c = 2317 - 1771 = 546.
546/3.5 = 156 = c (number of children).
c + a = 156 + a = 331 => a = 331 - 156 = 175 (number of adults).
There are 156 children and 175 adults
Answer:
Step-by-step explanation:
Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)
First equation is for triangle ABD
Second is for BCD
And the last one is for ACD
Substitute and
As discovered before
Answer:
B. (-2,-4)
Explanation
Given equations:
y = 3x + 2
y = -2x - 8
Solving both equations will yield the values of x and y;
Solution:
y = 3x + 2 ----- (i)
y = -2x - 8 ------ (ii)
Using substitution method, input equation i, into ii
3x + 2 = -2x - 8
Collect like terms and solve;
3x + 2x = -8 -2
5x = -10
x = -2
Then put x = -2 into i, to find y
y = (-2 x 3) + 2
y = -6 + 2 = -4
So, the solution of the equation is B. (-2,-4)
Answer:
6.
Step-by-step explanation:
Answer:
the answer is 5x + 2. I hoped that worked