Which situation is best represented by the following equation?
40w+12.50=492.50
Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
Nikayah paid $12.50 for ballet classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
Nikayah paid $40 for ballet classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes
Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
The situation best represented by the given equation "40w+12.50=492.50" is:
Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
Bella bought b boxes of cookies to bring to a party. She decides to keep two boxes. Each box contains 18 cookies. She brings 90 cookies to the party. Which equation can be used to find the number of boxes, b, Bella bought? How many boxes did she buy?(1 point)
Responses
18b−2=90; b=5
2b−18=90; b=54
18b−36=90; b=7
18b−36=90; b=6
The situation described can be represented by the equation 18b - 2 = 90, where b represents the number of boxes Bella bought. To find the number of boxes Bella bought, we can solve this equation:
18b - 2 = 90
Adding 2 to both sides gives:
18b = 92
Then dividing both sides by 18, we get:
b = 5
Therefore, Bella bought 5 boxes of cookies.
So the correct equation and answer option is: 18b - 2 = 90; b = 5
Delia spent $250 to rent a boat for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of boat rental cost?(1 point)
Responses
$20
$17
$67
$25
To find out how much each additional hour of boat rental costs, we can subtract the base rate from the total cost and divide it by the number of additional hours.
The base rate for the first 2 hours is $150. The total cost of the rental is $250. So, the cost of the additional 4 hours is $250 - $150 = $100.
To find out the cost per additional hour, we divide the cost of the additional hours ($100) by the number of additional hours (4):
$100 / 4 = $25
Therefore, each additional hour of boat rental costs $25.
So, the correct answer is $25.
Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3 the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?
Let's represent the number of cupcakes JoJo decorates as "x". According to the given information, Darcy decorates 8 cupcakes, which is 2 more than 1/3 times the number of cupcakes JoJo decorates.
So we can set up the equation as:
8 = (1/3)x + 2
To solve for x, we need to isolate x on one side of the equation.
Subtracting 2 from both sides, we have:
8 - 2 = (1/3)x
6 = (1/3)x
To get rid of the fraction, we can multiply both sides by 3:
3 * 6 = (1/3)x * 3
18 = x
Therefore, JoJo decorates 18 cupcakes.
When multiplying two rational numbers, how is the sign of the product determined?(1 point)
Responses
The product is positive if the signs of the factors are the same.
The product is positive if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.
The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the smaller factor
The product is positive if the signs of the factors are the same.
So, the correct answer is: The product is positive if the signs of the factors are the same.