Jim spent $13 to park for 5 hours. The parking garage charges a base rate of $4 for the first two 2 hours, and then an hourly rate for each additional hour, h. The equation 3h + 4 = 13 models Jim's parking cost. How much does each additional hour of parking cost?
Responses
A $2.50
B $3
C $4.50
D $5
To find the cost of each additional hour of parking, we can solve the equation 3h + 4 = 13 for h.
Subtract 4 from both sides: 3h = 9
Divide both sides by 3: h = $<<9/3=3>>3
Therefore, each additional hour of parking costs $3.
The answer is B.
What is the value of x?
-6x = -42
Responses
A -8
B -7
C 6
D 7
To find the value of x, we can divide both sides of the equation -6x = -42 by -6.
-6x/-6 = -42/-6
This simplifies to x = 7.
Therefore, the value of x is 7.
The answer is D.
The product of two numbers is 48, and one of the numbers is 12. Find the other number.
Which equation can be used to solve this problem?
Responses
A 48x = 12
B 12x = 48
C x/12 = 48
D x/48= 12
To find the other number, we need to divide 48 by 12.
This can be represented by the equation 48 รท 12 = x.
Simplifying this equation, we have:
4 = x
Therefore, the other number is 4.
The equation that represents this situation is not listed among the answer choices.
What is the value of x when x6 = 198?
Responses
A x = 33
B x = 192
C x = 204
D x = 1188
To find the value of x, we can divide both sides of the equation x6 = 198 by 6.
x6/6 = 198/6
This simplifies to x = 33.
Therefore, the value of x is 33.
The answer is A.
8, minus some number divided by 3, equals 6. Find the number.
Responses
A -14/3
B 4
C 6
D 2/3
To find the number that satisfies the equation, we can set up the equation as follows:
8 - x/3 = 6
We want to isolate the variable x, so we can start by subtracting 8 from both sides of the equation:
- x/3 = 6 - 8
Simplifying, we have:
- x/3 = -2
To solve for x, we can multiply both sides of the equation by 3 to get rid of the fraction:
3 * (- x/3) = 3 * (-2)
This simplifies to:
- x = -6
Finally, we can multiply both sides of the equation by -1 to solve for x:
- (- x) = -(-6)
x = 6
Therefore, the number is 6.
The correct answer is C.