Solve for p.
3(p + q) = p
(1 point)
Responses
q = –two-thirdsp
q = – Image with alt text: two-thirds p
q = –start fraction three over two end fractionp
q = – Image with alt text: start fraction three over two end fraction p
p = –two-thirdsq
p = – Image with alt text: two-thirds q
p = –start fraction three over two end fractionq
To solve for p, we can start by distributing the 3 on the left side of the equation:
3p + 3q = p
Now, let's isolate the p term by subtracting 3p from both sides:
3q = p - 3p
Combine the like terms:
3q = -2p
Finally, divide both sides by -2 to solve for p:
p = -3q/2
Therefore, the answer is p = -3q/2.
Solve for b, then find the value of b when a = 3.
4a = 2b − 7
(1 point)
Responses
–nine-halves
– Image with alt text: nine-halves
five-halves
Image with alt text: five-halves
nineteen-halves
Image with alt text: nineteen-halves
17
Solve for r.
d = rt
(1 point)
Responses
r = dt
r = dt
r equals t over d
Image with alt text: r equals t over d
r equals d over t
Image with alt text: r equals d over t
r equals d minus t
Find the width of a rectangle with a perimeter of 90 and a length of 15.
(1 point)
Responses
90
90
15
15
45
45
30
To solve for p in the equation 3(p + q) = p, follow these steps:
Step 1: Distribute the 3 to both terms inside the parentheses:
3p + 3q = p
Step 2: Move all the terms with p to one side of the equation by subtracting p from both sides:
3p - p + 3q = 0
Simplifying the left side:
2p + 3q = 0
Step 3: Move all terms with p to one side of the equation by subtracting 3q from both sides:
2p = -3q
Step 4: Solve for p by dividing both sides by 2:
p = -3q / 2
Therefore, the solution for p is p = -3q / 2.
To solve for p in the equation 3(p + q) = p, we can use algebraic manipulation to isolate p on one side of the equation.
Step 1: Distribute the 3 on the left side of the equation.
3p + 3q = p
Step 2: Subtract 3p from both sides to get rid of the p term on the right side.
3q = p - 3p
Step 3: Combine like terms on the right side.
3q = -2p
Step 4: Divide both sides by -2 to solve for p.
p = - (3/2)q
Therefore, the solution for p is p = - (3/2)q.