Answer:
the first one
Step-by-step explanation:
because 4/6=2/3
2/3=6/9
so 4/6=6/9
2/8
there’s 8 total pies and among all of them, there’s only 2 large pies
so 2 large pies out of eight pies
Answer:
4√(xy³)
Step-by-step explanation:
8√(x²y⁶)
The above expression can be simplified as follow:
8√(x²y⁶)
Recall:
m√a = a^1/m
Therefore,
8√(x²y⁶) = (x²y⁶)^1/8
Recall:
(aⁿ)^1/m = a^(n/m)
Therefore,
(x²y⁶)^1/8 = x^(2/8)•y^(6/8)
= x^1/4•y^3/4
= (xy³)^1/4
Recall :
a^1/m = m√a
Therefore,
(xy³)^1/4 = 4√(xy³)
Therefore,
8√(x²y⁶) = 4√(xy³)
Answer:
6) -7 + 10 = 3 (3 more; total number doesn't matter)
7) 50w + 20
8) c / 5
9) 5 + 2t
10) 4d + 2d
I didn't see the trick problem!
Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28