Note: For questions 5 and 6, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.
19 = h/3 -8
Solve the equation. Explain each step and identify the property used to reach each step.
0.6 + 0.8 = 1.4
19 = h/3 -8
Add 8 to both sides, then divide by 3.
0.6 + 0.8 = 1.4
Add .6 and .8.
To solve the equation 19 = h/3 - 8, we can follow these steps:
Step 1: Start by adding 8 to both sides of the equation to isolate the term with h/3.
19 + 8 = h/3 - 8 + 8
27 = h/3
Step 2: Multiply both sides of the equation by 3 to cancel out the division by 3.
27 * 3 = (h/3) * 3
81 = h
So, the solution to the equation is h = 81.
Now, let's solve the second equation: 0.6 + 0.8 = 1.4.
Step 1: Add the decimal numbers on the left side of the equation.
0.6 + 0.8 = 1.4
So, the sum of 0.6 and 0.8 is indeed equal to 1.4.
No specific mathematical properties are used in this equation; it is simply addition of decimals.
To solve the equation 19 = h/3 - 8, we need to isolate the variable h.
Step 1: Move the constant term (-8) to the other side of the equation by adding 8 to both sides.
19 + 8 = h/3 - 8 + 8
Simplifying the left side:
27 = h/3
Step 2: To isolate h, we need to get rid of the fraction. Multiply both sides by 3 to cancel out the denominator.
27 * 3 = h/3 * 3
Simplifying:
81 = h
So, the value of h is 81.
Property used in Step 1: Addition property of equality.
Property used in Step 2: Multiplication property of equality.