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)
A. 18b - 2 = 90; b =5
b. 2b - 18 = 90; b =54
c. 18b - 36 = 90; b =7
d. 18b - 36 = 90; b = 6
The equation that can be used to find the number of boxes Bella bought is 18b - 36 = 90.
To solve this equation, we can add 36 to both sides to isolate 18b:
18b = 126
Then, we can divide both sides by 18 to solve for b:
b = 7.
Therefore, Bella bought 7 boxes of cookies.
The correct answer is c. 18b - 36 = 90; b = 7.
To find the number of boxes, b, Bella bought, we can set up an equation based on the given information.
We know that each box contains 18 cookies and Bella decides to keep two boxes. So, the total number of cookies she brings to the party is (number of boxes - 2) multiplied by 18.
Thus, the equation can be written as:
18(b - 2) = 90
To solve the equation, we can start by distributing 18 to both terms within the parentheses:
18b - 36 = 90
Now, we can isolate the variable b by adding 36 to both sides of the equation:
18b = 126
Finally, divide both sides of the equation by 18 to solve for b:
b = 7
Therefore, Bella bought 7 boxes of cookies. So, the correct answer is c. 18b - 36 = 90; b = 7.
We can use equation c. 18b - 36 = 90 to find the number of boxes Bella bought.
Let's solve the equation:
18b - 36 = 90
First, let's add 36 to both sides of the equation to isolate the term with b:
18b - 36 + 36 = 90 + 36
18b = 126
Next, divide both sides of the equation by 18:
18b/18 = 126/18
b = 7
Therefore, Bella bought 7 boxes of cookies.
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 the cost of each additional hour of boat rental, we need to find the difference between the total cost for 6 hours and the cost for the first 2 hours.
Let's calculate the cost of the first 2 hours:
$150
Next, let's find the cost of the remaining 4 hours by subtracting the cost of the first 2 hours from the total cost:
$250 - $150 = $100
To determine the cost of each additional hour, we divide the cost of the remaining 4 hours by the number of additional hours, which is 4:
$100 / 4 = $25
Therefore, each additional hour of boat rental costs $25. The correct answer is d. $25.
solve the equation for y. -1/5y + 3 = -7
50
-35
15
55
To solve the equation -1/5y + 3 = -7 for y, we need to isolate the term with y.
First, let's subtract 3 from both sides of the equation:
-1/5y + 3 - 3 = -7 - 3
-1/5y = -10
Next, let's multiply both sides of the equation by -5 to eliminate the fraction:
-5 * (-1/5y) = -10 * -5
y = 50
Therefore, the solution for y is 50. The correct answer is a. 50.
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)
18
2
30
3
To find the number of cupcakes that JoJo decorates, we need to set up an equation based on the given information.
Let x be the number of cupcakes that JoJo decorates.
According to the problem, Darcy decorates 2 more than 13 times the number of cupcakes that JoJo decorates. So, the number of cupcakes that Darcy decorates can be expressed as 13x + 2.
We also know that Darcy decorates 8 cupcakes. So, we can set up the equation:
13x + 2 = 8
To solve for x, we need to isolate x.
First, let's subtract 2 from both sides of the equation:
13x + 2 - 2 = 8 - 2
13x = 6
Next, let's divide both sides of the equation by 13:
13x / 13 = 6 / 13
x = 6/13
Therefore, JoJo decorates approximately 6/13 cupcakes. The correct answer is not provided in the options given.
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)
18
2
30
3
To find the number of cupcakes that JoJo decorates, we need to set up an equation based on the given information.
Let x be the number of cupcakes that JoJo decorates.
According to the problem, Darcy decorates 2 more than 1/3 times the number of cupcakes that JoJo decorates. So, the number of cupcakes that Darcy decorates can be expressed as (1/3)x + 2.
We also know that Darcy decorates 8 cupcakes. So, we can set up the equation:
(1/3)x + 2 = 8
To solve for x, we need to isolate x.
First, let's subtract 2 from both sides of the equation:
(1/3)x + 2 - 2 = 8 - 2
(1/3)x = 6
Next, let's multiply both sides of the equation by 3 to eliminate the fraction:
3 * (1/3)x = 6 * 3
x = 18
Therefore, JoJo decorates 18 cupcakes. The correct answer is a. 18.
when multiplying two rational numbers, how is the sign of the product determined?
A. the product is positive if the signs of the factors are the same.
B. the product is negative if the signs of the factors are the same.
C. the sign of the product is always the same as the larger factor
D. The sign of the product is always the same as the smaller factor
A. 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)
rise 4
rise 9
fall 4
fall 5
To find out how much the temperature needs to rise or fall to return to the initial temperature of 81°F, we need to calculate the net change in temperature.
Given that the temperature dropped 9°F and then rose 5°F, the total change in temperature is 9°F drop + 5°F rise = 14°F.
The temperature needs to change by 14°F to return to the initial temperature of 81°F.
Therefore, the temperature needs to rise 14°F. The correct answer is not provided in the options given.
just choose one
Considering the options provided, the correct answer would be fall 5. This is because the temperature initially dropped 9°F and then rose 5°F, resulting in a net change of 4°F below the initial temperature. Therefore, to return to the initial temperature of 81°F, the temperature needs to fall by 5°F.
divide -3/17 by -2/3
9/34
2/17
-2/17
-9/34
To divide the fractions -3/17 by -2/3, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -2/3 is -3/2.
So, the division can be written as: -3/17 * -3/2
Multiplying the fractions, we get: (-3*-3) / (17*2) = 9 / 34
Therefore, -3/17 divided by -2/3 is equal to 9/34. The correct answer is 9/34.
4/7 (-20/2)
a. -2/35
b. 5 5/7
c. -5 5/7
d. -9 3/7
To simplify the expression 4/7 (-20/2), we need to multiply the fractions.
The expression can be rewritten as: (4/7) * (-20/2)
Multiplying the numerators and denominators, we get: (4*-20) / (7*2) = -80/14
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
-80/14 simplifies to -40/7.
Therefore, 4/7 (-20/2) is equal to -40/7. However, none of the options provided match this result.
choose one
Based on the options provided, the closest value to -40/7 is option c. -5 5/7. While it is not an exact match, it is the closest option to the simplified value of -40/7.
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)
22 feet
-52 feet
37 feet
52 feet
To find the distance from the basement floor to the roof, we need to subtract the elevation of the basement floor from the elevation of the roof.
The elevation of the basement floor is -15 ft.
The elevation of the roof is 37 ft.
37 ft - (-15 ft) = 37 ft + 15 ft = 52 ft.
Therefore, the distance from the basement floor to the roof is 52 feet. The correct answer is d. 52 feet.