Hey there!!
Given equation :
... 3x - 2 + 5x = 4x + 5 - 2x
Combining like terms :
... 8x - 2 = 2x - 5
Subtracting 2x on both sides :
... 6x - 2 = - 5
Adding 2 on both sides :
... 6x = - 3
Dividing by 6 on both sides :
... x = -1/2 = -0.5
Hence, the answer is -0.5
Hope my answer helps!
Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(9, 12) . Triangle FGH has vertices at F(1, 3) , G(9, 3) , and H(7, 7) .
Alex17521 [72]
Hmm, (x,y)
x is horizontal or left right
y is vertical or up down
so
we see that A to F is move left 2 and down 5
B to G is left 2 and down 5
C to H is left 2 and down 5
so translatete ABC left 2 and down 5 and
translate FGH right 2 and up 5
not 1st option
2nd works
3rd works
4th is false
2nd and 3rd
the answer is D) the like terms OP ption
Remark
They are travelling in opposite directions. Their distances will be added until that distance = 462 miles.
You need only add the r*t values together. You do not need to find the distance.
Givens
d = 462 miles
r1 = 115 mph
r2 = 95 mph
t = the time each was traveling.
Formula
r1 * t + r2*t = d
Substitute and solve
95 * t + 115 * t = 462 Add the like terms on the left.
210 * t = 462 Divide by 210
t = 462 / 210
t = 2.2 hours.
t = 2 1/5 hours
t = 2 hours and 12 minutes
All three answers are the same.
Answer:
Step-by-step explanation:
(12 dollars)/(8 cups) = (12/8 dollars)/cup = (1.5 dollars)/cup
21 dollars × (1 cup)/(1.5 dollars) = 21/1.5 cups = 14 cups