2(y-4)+5=3(y+2)
multiply the first bracket by 2
(2)(y)=2y
(2)(-4)=-8
multiply the second bracket by 3
(3)(y)=3y
(3)(2)=6
2y-8+5=3y+6
2y-3=3y+6
move 3y to the other side
sign changes from +3y to -3y
2y-3y-3=3y-3y+6
-y-3=6
move -3 to the other side
-y-3+3=6+3
-y=9
multiply both sides by -1 to get +y
(-1)(-y)=9(-1)
Answer:
y=-9
Allen's work is not written properly so I have rearranged it as shown below:
Original problem) –8.3 + 9.2 – 4.4 + 3.7.
Step 1) −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
Step 2) −8.3 + 4.4 + 9.2 + 3.7 Commutative property
Step 3) −8.3 + (4.4 + 9.2 + 3.7) Associative property
Step 4) −8.3 + 17.3
We can see that in step 1), Allen changed -4.4 into +4.4 using additive inverse. Notice that we are simplifying not eliminating -4.4 as we do in solving some equation. Hence using additive inverse is the wrong step.
Alen should have collect negative numbers together and positive numbers together.
Add the respective numbers then proceed to get the answer.
–8.3 + 9.2 – 4.4 + 3.7
= –8.3 – 4.4 + 9.2 + 3.7
= -12.7 + 12.9
= 0.2
Answer:
s ≤ -18
Step-by-step explanation:
Multiply both sides of the inequality by -3. Since the multiplier is negative, you need to reverse the comparison symbol.
(-3)(-s/3) ≤ (-3)(6)
s ≤ -18
_____
If you multiply by a positive number, you don't need to reverse the symbol. Hence multiplying by 3 gives ...
-s ≥ 18
You can now add s to both sides:
0 ≥ 18 + s
and subtract 18 from both sides:
-18 ≥ s
Of course, this is the same relationship as ...
s ≤ -18
Answer:
33.3 Repeating
Step-by-step explanation:
1. You already know that 33 is the whole number so you have 33.
2. 1/3 is converted to .3333333 so you put 33 before the decimal point
3. You get 33.3333333
Hope this helps :)
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