well, you already know an absolute value expression has a ± siblings, so let's proceed without much fuss.
![\bf |2x-5|=4\implies \begin{cases} +(2x-5)=4\implies 2x=9\implies x=\cfrac{9}{2}\\[-0.5em] \hrulefill\\ -(2x-5)=4\implies 2x-5=-4\\[1em] 2x=1\implies x=\cfrac{1}{2} \end{cases}](https://tex.z-dn.net/?f=%20%5Cbf%20%7C2x-5%7C%3D4%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%2B%282x-5%29%3D4%5Cimplies%202x%3D9%5Cimplies%20x%3D%5Ccfrac%7B9%7D%7B2%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20-%282x-5%29%3D4%5Cimplies%202x-5%3D-4%5C%5C%5B1em%5D%202x%3D1%5Cimplies%20x%3D%5Ccfrac%7B1%7D%7B2%7D%20%5Cend%7Bcases%7D%20)
Answer:
3/5 or
0.6
Step-by-step explanation:
You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.
x - 2/5 = 1/5 Add 2/5 to both sides
x - 2/5 + 2/5 = 1/5 + 2/5 The left side cancels to 0.
x = 1/5 + 2/5 The denominators (bottom the fraction) are the same. Just add the tops.
x = (1 + 2)/5
x = 3/5
=======================
If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5
2
÷
5
=
0.4
By the same method, 1/5 = 0.2
Substitute into the original equation
x - 0.4 = 0.2 Add 0.4 to both sides
x - 0.4 +0.4 = 0.2 + 0.4 The left side reduces just to x
x = 0.2 +0.4
x = 0.6
If you let your calculator do the work, like this
3
÷
5
=
0.6
The answers are the same.
Answer:
D) 11
Step-by-step explanation:
If you start at five and count back on each little x
than you should come up with 11
0=3
1=1
2=2
3=4
4=1
3+1+2+4+1=11
You do This because you need to find how many has fewer so you don't count 5
Answer:
210.53
Step-by-step explanation:
here
hope it helps
