Answer:
w = 11.25
Step-by-step explanation:
To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.
w - 24 = -3w + 21
To do this, we should first add 24 to both sides of the equation.
w - 24 + 24 = -3w +21 + 24
If we simplify, we get:
w = -3w + 45
Next, we should add 3w to both sides of the equation.
w + 3w = -3w + 3w + 45
4w = 45
Finally, we can divide both sides by 4.
4w/4 = 45/4
w = 11.25
Hope this helps!
Answers:
22.)D
23.)D
How?
Explaining number 22:
Well, let’s disprove each one of them.
A.) A is saying 6x=7. Even if we simplify that, it wouldn’t make any sense in what we are trying to do. That equation is equal to x=0.86(estimated to nearest tenth)
B.) B says that 6x=3. When we simplify this, we get x=0.5. That isn’t the number we want, so we know B isn’t right
C.) C is equivalent to 2x+2=6. Let’s simplify since it is multi-step.
2x+2=6
2x=6
x=3
Since we want x to be six, this wouldn’t be the answer either.
D.) D is saying 2x=12. When simplified, this becomes x=6. BINGO THERE IS OUR ANSWER
Explaining 23:
For this, I also used process of elimination.
Remember that x is equal to 2.5
A.)
x+3=5.5
2.5+3=5.5
5.5=5.5
That works.
B.)
2x=5
2(2.5)=5
5=5
That works.
C.)
2.5/2=1.25
1.25=1.25
That works
D.)
x-10=7.5
2.5-10=7.5
-7.5=7.5
THAT DOESNT WORK THERE IS OUR ANSWER
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Answer:
2.48 kg
Step-by-step explanation:
1 - ⅗ = ⅖
⅖ × 6.2 = 2.48