The native Japanese religion of Japan is called Shinto. It shares beliefs with Chinese philosophies, including Taoism. It is often practiced alongside the religion of Buddhism.
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The native Japanese religion of Japan is called
. It shares beliefs with Chinese philosophies, including
. It is often practiced alongside the religion of
11 answers
If Jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275. How many stamps does he have?(1 point)
Responses
57
57
53
53
23
2 thirds
13
1 third
Responses
57
57
53
53
23
2 thirds
13
1 third
To solve for the number of stamps Jaylan has, we can set up the following equation based on the information given:
Let \( x \) be the number of stamps.
According to the problem: \[ 5x - 10 = 275 \]
Now, we'll solve for \( x \):
-
Add 10 to both sides: \[ 5x - 10 + 10 = 275 + 10 \] \[ 5x = 285 \]
-
Divide both sides by 5: \[ x = \frac{285}{5} \] \[ x = 57 \]
Therefore, Jaylan has 57 stamps.
Which situation is best represented by the following equation?
40w+12.50=492.50
(1 point)
Responses
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 $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 $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 $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 $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
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40w+12.50=492.50
(1 point)
Responses
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 $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 $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 $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 $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
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The equation \(40w + 12.50 = 492.50\) best represents the following situation:
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.
This correctly matches the structure of the equation, where \(40w\) represents the cost per week multiplied by the number of weeks (\(w\)), and \(12.50\) represents an additional recurring weekly cost, with the total amount paid being \(492.50\).
Bella bought b boxes of cookies to bring to a party. Each box contains 18 cookies. She decides to keep two boxes. She brings 90 cookies to the party. How many boxes of cookies did Bella buy?
Using b for boxes, determine the correct equation and the unknown number in this situation.
(1 point)
Responses
18b−2=90; b=5
18b−2=90; b=5
2b−18=90; b=54
2b−18=90; b=54
18b−36=90; b=7
18b−36=90; b=7
18b−36=90; b=6
Using b for boxes, determine the correct equation and the unknown number in this situation.
(1 point)
Responses
18b−2=90; b=5
18b−2=90; b=5
2b−18=90; b=54
2b−18=90; b=54
18b−36=90; b=7
18b−36=90; b=7
18b−36=90; b=6
To determine the correct equation for this situation, let's break down what we know:
- Bella buys \( b \) boxes of cookies.
- Each box contains 18 cookies, which means the total number of cookies she starts with is \( 18b \).
- She keeps 2 boxes for herself, which means she takes \( 2 \times 18 = 36 \) cookies for herself.
- Therefore, the number of cookies she brings to the party is given by:
\[ \text{Cookies brought to party} = \text{Total cookies} - \text{Cookies kept} \]
This can be formulated as:
\[ 18b - 36 = 90 \]
Now, this means that after keeping 36 cookies, Bella brings 90 cookies to the party.
To solve for \( b \):
-
Start with the equation: \[ 18b - 36 = 90 \]
-
Add 36 to both sides: \[ 18b = 126 \]
-
Divide by 18: \[ b = 7 \]
Thus, the correct equation and unknown number in this situation is:
18b - 36 = 90; b = 7.
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
$20
$17
$17
$67
$67
$25
Responses
$20
$20
$17
$17
$67
$67
$25
To determine the cost of each additional hour of boat rental, we can break down the total cost Delia spent and how it corresponds to the rental company's charging structure.
- Base Rate for the First 2 Hours: $150
- Total Time Rented: 6 hours
- Total Cost: $250
First, we calculate the total amount spent on hours beyond the first 2 hours:
- Total hours rented = 6 hours
- Hours beyond the first 2 hours = 6 - 2 = 4 hours
Next, we can find out how much was spent on the additional hours:
- Total cost for additional hours = Total cost - Base rate \[ \text{Total cost for additional hours} = 250 - 150 = 100 \]
Now, we divide the amount spent on additional hours by the number of additional hours to find the cost per hour:
\[ \text{Cost per additional hour} = \frac{\text{Total cost for additional hours}}{\text{Number of additional hours}} = \frac{100}{4} = 25 \]
Thus, the cost for each additional hour of boat rental is:
$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
18
2
2
30
30
3
the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)
Responses
18
18
2
2
30
30
3
To find out how many cupcakes JoJo decorates, we can set up an equation based on the information provided in the problem.
Let \( x \) be the number of cupcakes that JoJo decorates.
According to the problem, Darcy decorates 8 cupcakes, which is 2 more than \( \frac{1}{3} \) of the number of cupcakes that JoJo decorates. We can express this relationship as:
\[ 8 = \frac{1}{3}x + 2 \]
Now, we'll solve for \( x \):
-
Subtract 2 from both sides: \[ 8 - 2 = \frac{1}{3}x \] \[ 6 = \frac{1}{3}x \]
-
Multiply both sides by 3 to get rid of the fraction: \[ 6 \times 3 = x \] \[ x = 18 \]
Therefore, JoJo decorates 18 cupcakes.