Answer:
2) x = 6 y = 7 3) x = -5 y= 2
Step-by-step explanation:
2) 10x - 8y = 4
2(-5x + 3y = -9)
-10x + 6y = -18
10x - 8y = 4 Add both equations together
-2y = -14
y = 7 Divide both sides by -2
10(x) - 8(7) = 4 Plug in 7 for the y to solve for x
10x - 56 = 4
+ 56 + 56 Add 56 to both sides
10x = 60
x = 6 Divide both sides by 10
3) Where the two lines intersect, that is the solution to x and y.
The lines intersect at (-5,2). x = -5 y = 2
Let the two ages be j and m, respectively. Then j+m>32.
Solving for Mary's age, we get m > 32 - j. Because j = m + 2, m > 32 - (m+2).
Continue solving for m: Adding m to both sides of this inequality results in
2m > 32 - 2. Then 2m > 30, and m > 15. Mary's age is greater than 15.
Answer:
The rate is 0.9 gallon per minute
Step-by-step explanation:
Here, we have 4.5 gallons drained in 5 minutes but we are interested in calculating the rate per minute
Let the amount drained per minute be x
4.5 gallons = 5 minutes
x gallon = 1 minute
Let’s cross multiply;
x * 5 = 4.5 * 1
5x = 4.5
x = 4.5/5
x = 0.9 gallons
Answer:
15 units squared
Step-by-step explanation:
Area of a trapezium is half the sum of the parallel sides times the distance between them
So A=0.5×(7+3)×3
A=15
