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?
The equation that can be used to find the number of boxes, b, Bella bought is:
18b - 90 = 2
To solve for b, we can add 90 to both sides of the equation:
18b = 92
Finally, we divide both sides by 18:
b = 5
Bella bought 5 boxes of cookies.
To find the number of boxes, we need to set up an equation based on the information given. Let's follow the steps:
Step 1: Bella decided to keep two boxes, so the number of boxes she brings to the party would be b - 2 (since she bought b boxes initially).
Step 2: Each box contains 18 cookies. So, the total number of cookies she brings to the party would be (b - 2) * 18.
Step 3: According to the information given, she brings 90 cookies to the party. Therefore, we can set up the equation:
(b - 2) * 18 = 90
Now, let's solve this equation to find the number of boxes Bella bought:
Divide both sides of the equation by 18:
(b - 2) = 90 / 18
Simplify:
(b - 2) = 5
Add 2 to both sides of the equation to isolate b:
b = 5 + 2
Simplify further:
b = 7
Therefore, Bella bought 7 boxes of cookies.
To find the number of boxes, b, Bella bought, we can use the following equation:
Number of boxes Bella bought - Number of boxes Bella kept = Number of boxes she brought to the party.
Let's represent the number of boxes Bella bought as b. We know she kept 2 boxes and each box contains 18 cookies. The number of cookies she brought to the party is 90.
So, the equation becomes:
b - 2 = 90 / 18
To simplify further:
b - 2 = 5
Adding 2 on both sides of the equation:
b = 5 + 2
b = 7
Therefore, Bella bought a total of 7 boxes of cookies.
What equation should I use?
Apologies for the confusion. To find the number of boxes, b, Bella bought, we can use the equation:
18b - 36 = 90
This equation represents the total number of cookies Bella bought, subtracting the 36 cookies she kept, equals the 90 cookies she brought to the party.
Let's solve this equation:
Adding 36 to both sides of the equation:
18b = 126
Dividing both sides by 18:
b = 7
Therefore, Bella bought a total of 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?
To find out how much each additional hour of boat rental costs, we need to calculate the total cost for the first 2 hours and then subtract it from the total cost for the entire 6 hours. Let's follow the steps:
Step 1: The rental company charges a base rate of $150 for the first 2 hours. So the cost for the first 2 hours is $150.
Step 2: To find out the cost for each additional hour, we need to subtract the cost for the first 2 hours from the total cost for the entire 6 hours. The total cost for 6 hours is $250.
To find the cost for each additional hour, we subtract the cost for the first 2 hours from the total cost for 6 hours:
$250 - $150 = $100.
Therefore, each additional hour of boat rental costs $100.
wrong
I apologize for the incorrect response. Let's calculate the correct amount together.
The rental company charges a base rate of $150 for the first 2 hours. To find out the cost for each additional hour, we need to subtract this base rate from the total cost for 6 hours.
The total cost for 6 hours is $250.
Subtracting the base rate of $150 from the total cost for 6 hours:
$250 - $150 = $100.
Now, we need to divide this difference by the number of additional hours, which is 4 (6 hours - 2 hours = 4 additional hours).
Dividing $100 by 4:
$100 / 4 = $25.
Therefore, each additional hour of boat rental costs $25.
very good
Thank you! I apologize for the initial confusion but I'm glad we were able to figure out the correct answer. If you have any more questions, feel free to ask.
Solve the equation for y. −15y+3=−7
To solve the equation for y, let's follow these steps:
Step 1: We want to isolate the variable y. Let's start by getting rid of the constant term on the right side of the equation. We can do this by subtracting 3 from both sides:
−15y + 3 - 3 = -7 - 3
Simplifying this:
−15y = -10
Step 2: Now, we want to solve for y. To do this, we need to get y by itself. We can divide both sides of the equation by -15:
(-15y) / (-15) = (-10) / (-15)
Simplifying this:
y = 10/15
Step 3: We can simplify the fraction 10/15 by dividing the numerator and denominator by their greatest common divisor, which is 5:
10/15 = (10 ÷ 5) / (15 ÷ 5) = 2/3
Therefore, the solution to the equation is y = 2/3.
The answer isn't a fraction
My apologies for the mistake. Let's solve the equation correctly:
Starting with the equation -15y + 3 = -7, we will isolate the variable y.
Subtract 3 from both sides of the equation:
-15y + 3 - 3 = -7 - 3
This simplifies to:
-15y = -10
Next, divide both sides of the equation by -15 to solve for y:
-15y / -15 = -10 / -15
This gives us:
y = 10/15
We can further simplify by dividing both the numerator and denominator by 5:
y = (10/5) / (15/5)
y = 2/3
Therefore, the solution to the equation -15y + 3 = -7 is y = 2/3.
bruh
Apologies for the confusion. Let's solve the equation correctly:
Starting with the equation -15y + 3 = -7, we will isolate the variable y.
Subtract 3 from both sides of the equation:
-15y + 3 - 3 = -7 - 3
This simplifies to:
-15y = -10
Next, divide both sides of the equation by -15 to solve for y:
-15y / -15 = -10 / -15
This gives us:
y = 10/15
We can further simplify the fraction 10/15. Both the numerator and denominator are divisible by 5. Dividing both by 5, we get:
y = 2/3
Therefore, the solution to the equation -15y + 3 = -7 is y = 2/3.
is there another answer?
Apologies for the confusion. Let's reconsider the equation:
Starting with -15y + 3 = -7, we want to solve for y.
First, let's isolate -15y by subtracting 3 from both sides of the equation:
-15y = -7 - 3
-15y = -10
To isolate y, we need to divide both sides of the equation by -15:
(-15y) / -15 = (-10) / -15
y = 10/15
Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5:
y = 2/3
So, the solution to the equation -15y + 3 = -7 is y = 2/3.
OH WAIT I DIDNNT EVEN WRITE THE EQUATION RIGHT
No problem! Let's solve the equation correctly based on the given equation.
The correct equation is:
-15y + 3 = -7.
To solve for y, we'll follow these steps:
Step 1: Isolate the variable term. We'll start by subtracting 3 from both sides of the equation:
-15y + 3 - 3 = -7 - 3.
This simplifies to:
-15y = -10.
Step 2: Solve for y by dividing both sides of the equation by -15:
(-15y) / -15 = -10 / -15.
This simplifies to:
y = 10/15.
We can simplify the fraction 10/15 by dividing both the numerator and denominator by their greatest common divisor, which is 5:
y = (10 ÷ 5) / (15 ÷ 5) = 2/3.
Therefore, the solution to the correct equation is y = 2/3.
Solve the equation for y. −1/5y+3=−7
To solve the equation for y, let's follow these steps:
Step 1: We want to isolate the variable y. Let's start by subtracting 3 from both sides of the equation:
−1/5y + 3 - 3 = -7 - 3
Simplifying this:
−1/5y = -10
Step 2: Now, to remove the coefficient -1/5 in front of y, we can multiply both sides of the equation by the reciprocal of -1/5 which is -5/1:
(-1/5y) * (-5/1) = -10 * (-5/1)
Simplifying this:
y = -10 * (-5/1)
y = 50/1
Therefore, the solution to the equation −1/5y + 3 = −7 is y = 50/1, which simplifies to y = 50.
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)
Let's assume that the number of cupcakes JoJo decorates is represented by the variable j.
According to the given information, Darcy decorates 8 cupcakes, which is 2 more than 1/3 the number of cupcakes that JoJo decorates.
We can set up an equation to represent this:
8 = (1/3)j + 2
To find the number of cupcakes JoJo decorates, we need to solve this equation.
Subtracting 2 from both sides of the equation, we have:
8 - 2 = (1/3)j
Simplifying this:
6 = (1/3)j
To isolate j, we'll multiply both sides of the equation by 3:
(3 * 6) = (3 * (1/3))j
18 = j
Therefore, JoJo decorates 18 cupcakes.
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?
To determine how much the temperature needs to rise or fall to return to the initial temperature of 81°F, we'll calculate the net change in temperature.
Given that the temperature dropped 9°F and then rose 5°F, we can find the net change by subtracting the rise from the drop:
Net change = Drop - Rise
= -9°F - 5°F
= -14°F
Therefore, the temperature needs to fall by 14°F to return to the initial temperature of 81°F.