4a = 2b − 7
(1 point)
Responses
–nine-halves
five-halves
nineteen-halves
17
The response for the equation 4a = 2b - 7 is "nineteen-halves".
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
Image with alt text: r equals d minus t
To solve for r in the equation d = rt, we need to isolate r by dividing both sides by t:
d/t = r
Therefore, the response is "r equals d over 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 find the width of a rectangle with a perimeter of 90 and a length of 15, we need to use the formula for the perimeter of a rectangle:
Perimeter = 2(Length + Width)
Since the length is given as 15, we can substitute the values into the equation and solve for the width:
90 = 2(15 + Width)
Dividing both sides by 2:
45 = 15 + Width
Subtracting 15 from both sides:
30 = Width
Therefore, the width of the rectangle is 30.
To find the value of the expression 4a = 2b - 7, we need to isolate the variable "a."
First, let's move the constant term (-7) to the other side of the equation by adding 7 to both sides:
4a + 7 = 2b
Next, to solve for "a," we need to divide both sides of the equation by 4:
(4a + 7) / 4 = (2b) / 4
Simplifying this gives:
a + (7/4) = b / 2
Finally, subtract (7/4) from both sides to isolate "a":
a = (b / 2) - (7/4)
So, the answer is "a = (b / 2) - (7/4)."
To solve the equation 4a = 2b - 7, you need to isolate the variable 'a' on one side of the equation. Here's how you can do it:
Step 1: Start with the equation 4a = 2b - 7.
Step 2: Add 7 to both sides of the equation to get rid of the -7 on the right side. This gives you: 4a + 7 = 2b.
Step 3: Divide both sides of the equation by 4 to isolate 'a'. This gives you: (4a + 7) / 4 = 2b / 4.
Step 4: Simplify the equation further. The right side of the equation simplifies to b / 2, and the left side simplifies to a + 7/4.
So, the equation becomes: a + 7/4 = b / 2.
Now, let's rearrange the equation to solve for 'a'.
Step 5: Subtract 7/4 from both sides of the equation: a + 7/4 - 7/4 = b / 2 - 7/4.
This simplifies to: a = b / 2 - 7/4.
Now, you can substitute any value for 'b' to find the corresponding value of 'a'. Without knowing the value of 'b', we cannot find the exact value of 'a'. Therefore, the given options are not sufficient to determine the value of 'a'.