To solve for p, we need to isolate it on one side of the equation.
Given equation: 3(p + q) = p
First, distribute the 3 to both p and q:
3p + 3q = p
Next, move the 3p term to the left side of the equation by subtracting 3p from both sides:
3p - p + 3q = 0
Simplifying the equation:
2p + 3q = 0
Now, isolate p by subtracting 3q from both sides:
2p = -3q
Finally, divide both sides by 2 to solve for p:
p = -3/2q
Therefore, the correct answer is p = -3/2q.
Solve for p.
3(p + q) = p
(1 point)
Responses
q = -2/3p
q = -3/2p
p = –2/3q
p = -3/2q
7 answers
Solve for b, then find the value of b when a = 3.
4a = 2b − 7
(1 point)
Responses
-9/2
5/2
19/2
17
4a = 2b − 7
(1 point)
Responses
-9/2
5/2
19/2
17
To solve for b, we need to isolate it on one side of the equation.
Given equation: 4a = 2b - 7
First, add 7 to both sides of the equation to get rid of the -7 term:
4a + 7 = 2b
Next, divide both sides by 2 to solve for b:
(4a + 7) / 2 = b
Simplifying the right side of the equation:
2a + 7/2 = b
Now, substitute a = 3 into the equation to find the value of b when a = 3:
2(3) + 7/2 = b
6 + 7/2 = b
12/2 + 7/2 = b
19/2 = b
Therefore, the value of b when a = 3 is b = 19/2.
Given equation: 4a = 2b - 7
First, add 7 to both sides of the equation to get rid of the -7 term:
4a + 7 = 2b
Next, divide both sides by 2 to solve for b:
(4a + 7) / 2 = b
Simplifying the right side of the equation:
2a + 7/2 = b
Now, substitute a = 3 into the equation to find the value of b when a = 3:
2(3) + 7/2 = b
6 + 7/2 = b
12/2 + 7/2 = b
19/2 = b
Therefore, the value of b when a = 3 is b = 19/2.
Solve for r.
d = rt
(1 point)
Responses
r = dt
r = t/d
r = d/t
r = d-t
d = rt
(1 point)
Responses
r = dt
r = t/d
r = d/t
r = d-t
To solve for r, we need to isolate it on one side of the equation.
Given equation: d = rt
First, divide both sides of the equation by t to solve for r:
d/t = r
Therefore, the correct answer is r = d/t.
Given equation: d = rt
First, divide both sides of the equation by t to solve for r:
d/t = r
Therefore, the correct answer is r = d/t.
Find the width of a rectangle with a perimeter of 90 and a length of 15.
(1 point)
Responses
90
15
45
30
(1 point)
Responses
90
15
45
30
To find the width of a rectangle, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2(length + width)
In this case, we are given that the perimeter is 90 and the length is 15.
Substituting these values into the formula, we have:
90 = 2(15 + width)
Next, we can simplify the equation:
90 = 30 + 2width
Subtracting 30 from both sides of the equation:
60 = 2width
Now, divide both sides of the equation by 2:
width = 30
Therefore, the width of the rectangle is 30.
Perimeter = 2(length + width)
In this case, we are given that the perimeter is 90 and the length is 15.
Substituting these values into the formula, we have:
90 = 2(15 + width)
Next, we can simplify the equation:
90 = 30 + 2width
Subtracting 30 from both sides of the equation:
60 = 2width
Now, divide both sides of the equation by 2:
width = 30
Therefore, the width of the rectangle is 30.