Question

solve . o. 75 ( t- 2) + 0.1 ( 20 - t ) = 0.05 ( t- 10 ) .​

Answer 1

Answer:

t=1.970608

Step-by-step explanation:

Let's solve your equation step-by-step.

75(t−2)+0.1(20−t)=0.05(t−10)

Step 1: Simplify both sides of the equation.

75(t−2)+0.1(20−t)=0.05(t−10)

(75)(t)+(75)(−2)+(0.1)(20)+(0.1)(−t)=(0.05)(t)+(0.05)(−10)(Distribute)

75t+−150+2+−0.1t=0.05t+−0.5

(75t+−0.1t)+(−150+2)=0.05t−0.5(Combine Like Terms)

74.9t+−148=0.05t−0.5

74.9t−148=0.05t−0.5

Step 2: Subtract 0.05t from both sides.

74.9t−148−0.05t=0.05t−0.5−0.05t

74.85t−148=−0.5

Step 3: Add 148 to both sides.

74.85t−148+148=−0.5+148

74.85t=147.5

Step 4: Divide both sides by 74.85.

74.85t/74.85=147.5/74.85

t=1.970608

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