Solve by Substitution
Answer:
x = -5
y = -2
A = B
6.9 => 7 8.3 => 8
8+7=15
6.2 => 6 8.5 => 9
6+9=15
so A = B
Booster's share =y =0.75x
gross receipts=x=700
plug x=700 in y=0.75x
y=0.75*700
y=525
Answer:
for question one - x = 12
Step-by-step explanation:
a triangle is always 180, in other words you will add all the corners equal to 180
ex (for first question) - 7x -2 + 4x + 5x - 10 = 180
you add like terms, the x with x and single numbers with numbers, which results in 16x - 12 = 180. then you do the original operation "what you do to one sign of the equal side you do to the other"
Question 9
Given the segment XY with the endpoints X and Y
Given that the ray NM is the segment bisector XY
so
NM divides the segment XY into two equal parts
XM = MY
given
XM = 3x+1
MY = 8x-24
so substituting XM = 3x+1 and MY = 8x-24 in the equation
XM = MY
3x+1 = 8x-24
8x-3x = 1+24
5x = 25
divide both sides by 5
5x/5 = 25/5
x = 5
so the value of x = 5
As the length of the segment XY is:
Length of segment XY = XM + MY
= 3x+1 + 8x-24
= 11x - 23
substituting x = 5
= 11(5) - 23
= 55 - 23
= 32
Therefore,
The length of the segment = 32 units
Question 10)
Given the segment XY with the endpoints X and Y
Given that the line n is the segment bisector XY
so
The line divides the segment XY into two equal parts at M
XM = MY
given
XM = 5x+8
MY = 9x+12
so substituting XM = 5x+8 and MY = 9x+12 in the equation
XM = MY
5x+8 = 9x+12
9x-5x = 8-12
4x = -4
divide both sides by 4
4x/4 = -4/4
x = -1
so the value of x = -1
As the length of the segment XY is:
Length of segment XY = XM + MY
= 5x+8 + 9x+12
= 14x + 20
substituting x = 1
= 14(-1) + 20
= -14+20
= 6
Therefore,
The length of the segment XY = 6 units
