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
12 answers
B 18b − 2 = 90
x/5 + 3 =2
-5
25
5
-1/5
1/5
-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.
(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
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
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
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
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
Responses
A 3030
B 3131
C 3737
D 3838
E 44
To solve this problem, we can set up an equation to represent the given information.
Let's break down the information we have:
- When Clark was 7 years old, he had 22 rare coins.
- Each year, Clark adds 15 coins to his collection.
- We want to find out how old Clark will be when he has 577 coins.
Let's create an equation to represent this:
22 + 15*(x-7) = 577
Here, x represents the age of Clark when he has 577 coins.
To solve for x, we can follow these steps:
1. Distribute the 15 to the terms inside the parentheses:
22 + 15x - 15*7 = 577
2. Simplify:
22 + 15x - 105 = 577
3. Combine like terms:
15x - 83 = 577
4. Add 83 to both sides:
15x = 660
5. Divide by 15:
x = 44
Therefore, Clark will be 44 years old when he has 577 coins.
The correct answer is:
E) 44
Let's break down the information we have:
- When Clark was 7 years old, he had 22 rare coins.
- Each year, Clark adds 15 coins to his collection.
- We want to find out how old Clark will be when he has 577 coins.
Let's create an equation to represent this:
22 + 15*(x-7) = 577
Here, x represents the age of Clark when he has 577 coins.
To solve for x, we can follow these steps:
1. Distribute the 15 to the terms inside the parentheses:
22 + 15x - 15*7 = 577
2. Simplify:
22 + 15x - 105 = 577
3. Combine like terms:
15x - 83 = 577
4. Add 83 to both sides:
15x = 660
5. Divide by 15:
x = 44
Therefore, Clark will be 44 years old when he has 577 coins.
The correct answer is:
E) 44
Tom has saved $128, and his goal is to save $500. How much more must he save?
Which equation BEST represents this situation?
Responses
A x + 128 = 500x + 128 = 500
B x - 128 = 500x - 128 = 500
C x + 500 = 128x + 500 = 128
D x - 500 = 128
Which equation BEST represents this situation?
Responses
A x + 128 = 500x + 128 = 500
B x - 128 = 500x - 128 = 500
C x + 500 = 128x + 500 = 128
D x - 500 = 128
To find out how much more Tom must save to reach his goal of $500, we can subtract his current savings of $128 from his goal.
Therefore, the equation that best represents this situation is:
x - 128 = 500
Here, x represents the amount that Tom must save to reach his goal.
The correct answer is:
B) x - 128 = 500
Therefore, the equation that best represents this situation is:
x - 128 = 500
Here, x represents the amount that Tom must save to reach his goal.
The correct answer is:
B) x - 128 = 500
is b right?