Manipulate the equation y=5x-11 so that it is written in terms of x. Which equation is equivalent to y=5x-11?
To write the equation in terms of x, we need to isolate x on one side of the equation.
First, add 11 to both sides of the equation to get:
y + 11 = 5x
Next, divide both sides of the equation by 5 to solve for x:
(x) = (y + 11) / 5
Therefore, the equation equivalent to y = 5x - 11 in terms of x is:
x = (y + 11) / 5
Charity is buying peaches at the store. The cost of the peaches are $1.30 per pound. If she has $6.50 to spend on peaches, how many pounds (x) can she buy? Set up an equation to solve the problem.
Let's set up the equation to solve the problem:
The cost of the peaches per pound is $1.30. Charity has $6.50 to spend on peaches. Therefore, the equation is:
1.30x = 6.50
Where x represents the number of pounds of peaches Charity can buy.
Jackson solved the problem 3x-8=2(2x-7) using the following steps: STEP 1: Use Distributive Property to get 3x-8=4x-14 STEP 2: Use Addition Property of Equality to get 3x = 4x-14+8 STEP 3: Combine Like Terms to get 3x = 4x-6 STEP 4: Use Subtraction Property of Equality to get 3x-4x= -6 STEP 5: Combine Like Terms to get (-x)=-6 What is the last step?
The last step in Jackson's solution is to multiply both sides of the equation by -1 to solve for x.
Multiplying both sides of the equation (-x) = -6 by -1 gives you:
x = 6
A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, based on x hours for the repair.
What is the meaning of the initial amount for the equation?
A.
It means the technician charges $45 per hour for the repair.
B.
It means the technician charges a fixed amount of $45 for the repair.
C.
It means the technician charges a fixed amount of $75 for the repair.
D.
It means the technician charges $75 per hour for the repair.
The correct answer is B.
The initial amount in the equation represents the fixed amount that the technician charges for the repair. In this case, it means the technician charges a fixed amount of $45 for the repair.