<span>Because G is the centroid of the triangle, therefore
AG = 2GF
That is,
5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore
AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
Answer: The break even point is when they have sold 16 books and have made $288
Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.
The earnings are modeled by he equation y = 18x.
Substitute 18x for y and solve for x.
18x = 12x + 96 Subtract 12x from both sides.
6x = 96 Divide both sides by 6
x = 16
Substitute into the original equations to solve for y
y = 12(16) + 96
y = 192 + 96
Y = 288
y = 18(16)
y = 288
Answer:
120 miles
Step-by-step explanation:
we know that
The speed is equal to the distance divided by the time
Let
s------> the speed in mph
d-----> the distance in miles
t -----> the time in hours
s=d/t
solve for the distance
d=s*t
<em>It will take Adam four hours to drive to Disney Park</em>
s=x mph
t=4 h
substitute
d=4x -----> equation A
<em>It will take Adam 2.5 times less time if driving 45 mph faster</em>
so
s=(x+45) mph
t=4/2.5=1.6 h
substitute
d=1.6(x+45) -----> equation B
equate equation A and equation B
4x=1.6(x+45)
Solve for x
4x=1.6x+72
4x-1.6x=72
2.4x=72
x=30 mph
Find the distance d
d=4x -----> d=4(30)=120 miles
Answer:
You're right! The 1st part is 25, and the second part is all real numbers
Step-by-step explanation:
She has to pay $25 to begin with. For the 2nd part, it's not going to be any crazy values, since we're dealing with money
Answer:
298
Step-by-step explanation:
given data
total friend = 4
total profit in the first month = 438
two months each friend profit = 184
solution
we consider here total profit second month is = x
so
profit second month = 184 × 4 - 438
x = 736 - 438
x = 298
so that here profit that car wash making the second month is 298
