3(3x+8)=4(2x+8)
9x+24=8x+32
x=8
2(8)=16
3(8)=24
that means that the younger brother is 16 years old
Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
Step-by-step explanation:
taking that blank as x
5/2 -x = 1/3
the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3
so the equation will become 5/2-1/3=x
solving the fraction then gives 13/6 or 2.17 as the value of x
Answer:
{-1/8, 1/8}
Step-by-step explanation:
Solve |a|-3/4=-5/8 for |a|: Add 3/4 to both sides of this equation, obtaining:
|a| - 6/8 + 6/8 = -5/8 + 6/8, or |a| = 1/8. This absolute value function has two components:
a = 1/8 and a = -1/8.