Answer:
#1 s=-133/5
#3 a. b=-4
#3 b. x=23.45
#3 c. p=201
Step-by-step explanation:
#1 −5(s+30)=−17
Step 1: Simplify both sides of the equation.
−5(s+30)=−17
(−5)(s)+(−5)(30)=−17(Distribute)
−5s+-150=−17
−5s−150=−17
Step 2: Add 150 to both sides.
−5s−150+150=−17+150
−5s=133
Step 3: Divide both sides by -5.
−5s−5=133/−5
s=−133/5
#3 a. ![-\frac{1}{2} (b-6)=5](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%20%28b-6%29%3D5)
Step 1: Multiply both sides by 2
![(-\frac{1}{2} (b-6))(-2)=5(-2)](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B2%7D%20%28b-6%29%29%28-2%29%3D5%28-2%29)
Step 2: Simplify
b-6=-10
Step 3: Add 6 to both sides
b-6+6=-10+6
Step 4: Simplify
b=-4
#3 b. 0.4t(x-0.45t)=9.2
Step 1: Divide both sides by 0.4
![\frac{0.4t(x-0.45t)}{0.4} =\frac{9.2}{0.4}](https://tex.z-dn.net/?f=%5Cfrac%7B0.4t%28x-0.45t%29%7D%7B0.4%7D%20%3D%5Cfrac%7B9.2%7D%7B0.4%7D)
Step 2: Simplify
x-0.45=23
Step 3: Add 0.45 to both sides
x-0.45+0.45=23+0.45
Step 4: Simplify
x=23.45
#3 -4(p-212)=44
Step 1: Divide both sides by -4
![\frac{-4\left(p-212\right)}{-4}= \frac{44}{-4}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%5Cleft%28p-212%5Cright%29%7D%7B-4%7D%3D%20%5Cfrac%7B44%7D%7B-4%7D)
Step 2: Simplify (there is way more to this step than I am putting)
p-212=-11
Step 3: Add 212 to both sides
p-212+212=-11+212
Step 3: Simplify
p=201
Answer:
x = 5/8 for 5x - 3 = (1/5)x
Step-by-step explanation:
To find x, we want to isolate our 3 from our x-values. You can add three to both sides of the equation and get it to the other side and then subtract 1/5x from 5x.
(5x - 3) + 3 = ((1/5)x) + 3
5x = (1/5)x + 3
5x = (25/5)x
((25/5)x) - (1/5)x = ((1/5)x + 3) - (1/5)x
(24/5)x = 3
From here, you would want to solve for x. This would mean multiplying 3 by 5 and dividing your product by 24.
5*3 = 15
15/24 = 5/8 = x
Hope this helps!
Answer:
5
Step-by-step explanation:
you don't have to but i convert 7 1/2 and 1 1/2 into 7.5 and 1.5 to make it easier than you divide.
Answer:
1 2/3
Step-by-step explanation:
convert to improper fraction:
13/3 - 8/3
then solve:
13/3 - 8/3 = 5/3
convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):
"1 2/3" is "5/3" as a mixed number.
so your answer (as a mixed number) is:
"1 2/3"