Crystal bought b boxes of cookies to bring to a party. Each box contains 18 cookies. She decides to keep two boxes for herself. She brings 90 cookies to the party. Which equation can be used to find the number of b boxes Crystal bought?
Responses
A 2b − 18 = 902b − 18 = 90
B 18b − 2 = 9018b − 2 = 90
C 18b − 36 = 9018b − 36 = 90
D 36 − 18b = 90
B 18b − 2 = 90
To solve this problem, we can set up an equation to represent the given information.
Let's break down the information we have:
- Crystal bought b boxes of cookies.
- Each box contains 18 cookies.
- She kept two boxes for herself, which means she brought (b - 2) boxes to the party.
- The total number of cookies she brought to the party is 90.
Knowing that each box contains 18 cookies, the equation we can use to find the number of boxes Crystal bought is:
(18 * (b - 2)) = 90
Simplifying this equation gives us:
18b - 36 = 90
So, the correct equation to find the number of b boxes Crystal bought is:
C) 18b - 36 = 90
Let's break down the problem:
- Crystal bought b boxes of cookies.
- Each box contains 18 cookies.
- She kept two boxes for herself.
- She brought 90 cookies to the party.
To find the number of b boxes Crystal bought, we can start by calculating the total number of cookies in the boxes she bought, which is 18 * b. Then, we subtract the cookies she kept for herself (2 boxes or 18 * 2 = 36).
Therefore, the equation to find the number of b boxes Crystal bought is:
18 * b - 36 = 90
So the correct answer is C) 18b - 36 = 90.
x/5 + 3 =2
-5
25
5
-1/5
1/5
To solve the equation x/5 + 3 = 2, we can start by subtracting 3 from both sides of the equation to isolate the x/5 term.
(x/5 + 3) - 3 = 2 - 3
This simplifies to:
x/5 = -1
To get x by itself, we can multiply both sides of the equation by 5:
5 * (x/5) = -1 * 5
This simplifies to:
x = -5
So, the solution to the equation x/5 + 3 = 2 is x = -5.
5y - 10 = -25
Responses
A y = 3y = 3
B y = 7y = 7
C y = -3y = -3
D y = -7y = -7
E y = -5
To solve the equation 5y - 10 = -25, we can start by adding 10 to both sides of the equation to isolate the 5y term.
5y - 10 + 10 = -25 + 10
This simplifies to:
5y = -15
Next, we can divide both sides of the equation by 5 to solve for y:
(5y)/5 = (-15)/5
This simplifies to:
y = -3
So, the solution to the equation 5y - 10 = -25 is y = -3.
Therefore, the correct answer is:
C) y = -3
Dwight spent $250 to rent a jet ski 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, h. The equation 4h + 150 = 250 models Dwight's cost of renting the jet ski. How much does each additional hour of rental cost?
Responses
A $20$20
B $25$25
C $30$30
D $45
To find the cost of each additional hour of rental, we need to solve the equation 4h + 150 = 250.
Subtracting 150 from both sides of the equation gives us:
4h = 250 - 150
Simplifying this equation gives us:
4h = 100
To solve for h, we need to divide both sides of the equation by 4:
h = 100 / 4
Simplifying this equation gives us:
h = 25
Therefore, each additional hour of rental costs $25.
The correct answer is:
B) $25
When Clark was 7 years old he had 22 rare coins. Each year Clark added 15 coins to his collection. Assuming Clark does not sell or lose any coins, how old will Clark be when he has 577 coins?
Responses
A 3030
B 3131
C 3737
D 3838
E 44