What operation would be appropriate to convert 3.25 feet into inches
Responses
Multiply by 12 inches/1 foot
Divide by 12 inches/1 foot
Multiply by 1 foot/12 inches
Add 12 to 3.25
The appropriate operation to convert 3.25 feet into inches is to multiply by 12 inches/1 foot.
So, the correct response is: Multiply by 12 inches/1 foot
Identify the steps followed to solve the equation 5−3(x+3)=11−8x
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5−3x−9=11−8x
−3x−4=11−8x
5x−4=11
5x=15
x=3 Answer choices: distributive property, combine like terms, addition property of equality, multiplication property of equality, division property of equality, subtraction property of equality
The steps followed to solve the equation 5−3(x+3)=11−8x are:
1. Distributive property
2. Combine like terms
3. Addition property of equality
4. Subtraction property of equality
5. Addition property of equality
6. Multiplication property of equality
7. Division property of equality
The correct responses for each step are:
1. Distributive property
2. Combine like terms
3. Addition property of equality
4. Subtraction property of equality
5. Addition property of equality
6. Multiplication property of equality
7.Division property of equality
Use the equation y−6=x4
to fill in the missing values in the table below. x side in order:32, 12, 0, blank, blank. y side in order: 14, blank, blank, 4, -3
Using the equation y−6=x/4, we can substitute the given x values into the equation to find the corresponding y values.
For the x values:
- When x = 32: (32/4) + 6 = 14, so the corresponding y value is 14.
- When x = 12: (12/4) + 6 = 9, so the corresponding y value is 9.
- When x = 0: (0/4) + 6 = 6, so the corresponding y value is 6.
For the y values:
- When y = 14: (y - 6) = 32/4, solving for y gives us y = 18.
- When y = 4: (y - 6) = 0/4, solving for y gives us y = 6.
- When y = -3: (y - 6) = -32/4, solving for y gives us y = 2.
So, filling in the missing values in the table:
x | y
------------------
32 | 14
12 | 9
0 | 6
4 | 18
-3 | 2
Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen worked and the total number of tickets she sold.
Hours (h) Tickets (t)
1 23
2 46
3 69
4 92
Based on the table, write an equation for the relation between the number hours Gwen worked and the number of tickets she sold.
Responses
Based on the table, the equation for the relation between the number of hours Gwen worked (h) and the number of tickets she sold (t) can be written as follows:
t = 23h
So, the equation is t = 23h.
Use the following step as a guide to solve the following equation. Write out your work for all steps to solve the equation.
2x - 5 = 3(4x + 5)
Given equation: 2x - 5 = 3(4x + 5)
Step 1: Distribute the 3 on the right side of the equation
2x - 5 = 12x + 15
Step 2: Move all terms containing x to one side of the equation by subtracting 12x from both sides
2x - 12x - 5 = 12x - 12x + 15
Simplifying this step gives: -10x - 5 = 15
Step 3: Move the constant term to the other side by adding 5 to both sides
-10x - 5 + 5 = 15 + 5
Simplifying this step gives: -10x = 20
Step 4: Solve for x by dividing both sides of the equation by -10
(-10x)/(-10) = 20/(-10)
Simplifying this step gives: x = -2
Therefore, the solution to the equation 2x - 5 = 3(4x + 5) is x = -2.
Solve the equation 12=bY−3
for Y. Show each step used to solve for Y and justify by giving the property used for each step.