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
Let's say Bella bought b boxes of cookies. Each box contains 18 cookies. She decides to keep two boxes, so she brings (b-2) boxes to the party. Therefore, the total number of cookies she brings is (b-2) * 18.
Since she brings 90 cookies to the party, we can set up the equation:
(b-2) * 18 = 90
Now, let's solve for b:
18b - 36 = 90
18b = 90 + 36
18b = 126
b = 126/18
b = 7
Therefore, Bella bought 7 boxes of cookies.
To find the number of boxes, b, Bella bought, we can use the equation:
b * 18 - 2 = 90
Now, let's solve for b:
b * 18 = 90 + 2
b * 18 = 92
b = 92 / 18
b ≈ 5.11
Since the number of boxes must be a whole number, Bella bought 5 boxes of cookies.
To find the number of boxes, we need to set up an equation based on the given information.
Let's represent the number of boxes Bella bought as "b."
Each box contains 18 cookies, and Bella decides to keep 2 boxes for herself. So, the total number of cookies Bella brings to the party is 18 * (b - 2).
According to the problem, Bella brings 90 cookies to the party. Therefore, we can set up the equation:
18 * (b - 2) = 90
To solve for b, we can divide both sides of the equation by 18:
(b - 2) = 90 / 18
Simplifying the right side gives:
(b - 2) = 5
Finally, to isolate b, we add 2 to both sides of the equation:
b = 5 + 2
b = 7
Therefore, Bella bought 7 boxes of cookies.
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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 the cost of each additional hour of boat rental, we need to calculate the difference between the total cost for 6 hours and the base rate for the first 2 hours.
The base rate for the first 2 hours is $150.
The total cost for 6 hours is $250.
To find the cost of each additional hour, we subtract the base rate from the total cost:
$250 - $150 = $100
Since the $100 covers 4 additional hours (6 hours - 2 hours = 4 hours), we divide $100 by 4:
$100 / 4 = $25
Therefore, each additional hour of boat rental costs $25.
Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 13
the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)
Responses
18
2
30
3
Let's say the number of cupcakes that JoJo decorates is "x".
According to the given information, Darcy decorates 8 cupcakes, which is 2 more than 13 cupcakes that JoJo decorates. So we can set up the equation:
8 = 13 + 2 + x
Simplifying the equation gives us:
8 = 15 + x
To isolate x, we subtract 15 from both sides of the equation:
8 - 15 = x
-7 = x
Therefore, JoJo decorates -7 cupcakes. However, since we can't have a negative number of cupcakes, it seems there might be a mistake in the given information or the problem itself. Please double-check the information or provide more context to find the correct answer.
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?(1 point)
Responses
18
2
30
3
Let's say the number of cupcakes that JoJo decorates is "x".
According to the given information, Darcy decorates 8 cupcakes, which is 2 more than 1/3 times the number of cupcakes that JoJo decorates. So we can set up the equation:
8 = (1/3)x + 2
To solve this equation, we need to isolate x. First, let's subtract 2 from both sides:
8 - 2 = (1/3)x
6 = (1/3)x
Next, let's multiply both sides by 3 to get rid of the fraction:
6 * 3 = (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 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 smaller factor.
The product is positive if the signs of the factors are the same.
On a given morning the temperature was 81°F. The temperature dropped 9°F and then rose 5°F. How much does the temperature need to rise or fall to return to the initial temperature of 81°F?(1 point)
Responses
Rise 4°
Rise 9°
Fall 4°
Fall 5°
To return to the initial temperature of 81°F, the temperature needs to fall by 9°F and then rise by 5°F.
Therefore, the temperature needs to fall by an additional 4°F to return to the initial temperature of 81°F.
So, the correct answer is: Fall 4°.
The elevation of the basement floor in a building is -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?(1 point)
Responses
22 feet
-52 feet
37 feet
52 feet
To find the distance from the basement floor to the roof, we need to calculate the difference between the elevation of the roof (37 feet) and the elevation of the basement floor (-15 feet).
37 feet - (-15 feet) = 37 feet + 15 feet = 52 feet
Therefore, the distance from the basement floor to the roof is 52 feet.