Answer:
#1 s=-133/5
#3 a. b=-4
#3 b. x=23.45
#3 c. p=201
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.
![-(1)/(2) (b-6)=5](https://img.qammunity.org/2022/formulas/mathematics/high-school/zrfff5s78sxbnc99ah8mnn2gcva5lsfkxf.png)
Step 1: Multiply both sides by 2
![(-(1)/(2) (b-6))(-2)=5(-2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vxoopqxckla4i3h2873geowyb2a6ztrqmo.png)
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
![(0.4t(x-0.45t))/(0.4) =(9.2)/(0.4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/35rmwoixvnfqojqjrkqu4iy23s2s7spss2.png)
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
![(-4\left(p-212\right))/(-4)= (44)/(-4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/6q84unfz530vrkhr51hf1u0jd5ttkdosbr.png)
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