2(3x - 4) = 2x + 12
6x - 8 = 2x + 12
4x = 20
x = 5
AB = 3(5) - 4 = 11
AC = 2(5) + 12 = 22
BC = 7(5) - 2 = 35 - 2 = 33
AC:BC = 22:33 = 2:3
Answer: x = {1, 2}
<u>Step-by-step explanation:</u>
x⁶ - 9x³ + 8 = 0
Let u = x³
⇒ (x³)² - 9(x³)¹ + 8(x³)⁰ = 0
⇒ u² - 9u + 8 = 0
⇒ (u - 1)(u - 8) = 0
⇒ u = 1 or u = 8
Replace u with x³
x³ = 1 or x³ = 8
Take the cubed root of each side
x = 1 or x = 2
Answer:
a) k = 10 b) k = 7.5
Step-by-step explanation:
<h3><u><em>a)</em></u></h3>
( 5k+ 20 ) + ( 7k + 40 ) = 180
12k + 60 = 180
12k = 120
k = 10
<h3><u><em>b)</em></u></h3>
40 + ( 12k + 10) + 180 - ( 8k + 80 ) = 180
50 + 12k + 180 - 8k - 80 = 180
50 + 12k -8k - 80 = 0
50 + 4k - 80 = 0
30 = 4k
k = 7.5
Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.
Let the number of toys Oleg has = x
Let the number of toys Sasha has = y
Let the number of toys Dima has = z
Sasha had twice as many toys as Oleg
So y = 2*x= 2x
Dima had 40 more toys than Oleg.
z = x + 40
Oleg, Sasha, and Dima shared 600 toys
x + y + z= 600
We know y=2x and z=x+40
Replace it for y and z



Subtract 40 on both sides

Divide by 4 on both sides

Oleg had 140 toys
Hey there
SO we know that the total amount that she brought is 24 cookies.
we also know that 2/3 of the cookies are choco chip.
So to find the answer we need to divide 24/3 which gives us 8 so one third of 24 is eight if we multiply 8 by two we get 16 which is 2/3 of 24.