Amelia baked some cookies. She was able to give five cookies each to 8 friends without having any cookies left over. How could you set out this problem as an algebraic equation to find out how many cookies are merely baked in total?
Based on the calculations, the extra amount of flour John put in is 13/40 cups.
Let's set the total number of cookies baked as x.
We know Amelia was able to give 5 cookies each to 8 friends. So, the number of cookies given to the friends is 5 * 8 = 40.
Since Amelia didn't have any cookies left over, we can set up the equation:
x - 40 = 0
This equation represents the statement "The total number of cookies baked (x) minus the number of cookies given to friends (40) equals zero."
Let's denote the number of cookies Amelia baked as "x".
Since Amelia was able to give five cookies each to 8 friends without any leftovers, the total number of cookies given to her friends can be found by multiplying the number of cookies given to each friend (5) by the total number of friends (8). This can be represented as:
Total number of cookies given to friends = 5 * 8 = 40
As there were no cookies left over, the total number of cookies baked must be equal to the total number of cookies given to her friends. Therefore, we can set up the equation:
x = 40
Therefore, the algebraic equation to find out how many cookies Amelia baked in total is x = 40.
To set up an algebraic equation for this problem, we can let "x" represent the total number of cookies Amelia baked.
Given that she was able to give five cookies each to 8 friends, this means that she gave away a total of 5 * 8 = 40 cookies.
Since she did not have any cookies left over, the equation can be written as: x - 40 = 0.
Rearranging this equation, we have: x = 40.
Therefore, Amelia must have baked a total of 40 cookies.
no r u dumb
I apologize if my previous response was not what you were looking for. Could you please provide clarification or specific guidance on how you would like to approach this problem algebraically?
do it again
Let's denote the total number of cookies Amelia baked as "x".
Amelia gave five cookies each to 8 friends, so the total number of cookies given to her friends is 5 * 8 = 40.
Since there were no cookies left over, the total number of cookies baked must be equal to the total number of cookies given to her friends. Therefore, we can set up the equation:
x = 40
This equation represents the statement "The total number of cookies baked (x) equals 40."
Hence, the algebraic equation to find out how many cookies Amelia baked in total is x = 40.
john is cooking cupcakes. The recipe calls for three and 3/10 cups of flour.He accidentally puts.In three.And five.Eight cups of flour. How many extra cups did he put in?
To find out how many extra cups of flour John put in, we need to subtract the amount called for in the recipe from the amount he actually used.
The amount called for in the recipe is three and 3/10 cups of flour, which can be written as 3 + 3/10 = 3.3 cups.
The amount John actually used is three and five-eighths cups of flour, which can be written as 3 + 5/8 = 3 + 40/8 = 3 + 5 = 8 cups.
To find the extra amount of flour John put in, we subtract the amount called for in the recipe from the amount he used:
8 cups - 3.3 cups = 4.7 cups.
Therefore, John put in an extra 4.7 cups of flour.
as a fraction
To find the extra amount of flour John put in as a fraction, we can subtract the fraction called for in the recipe from the fraction he actually used.
The amount called for in the recipe is three and 3/10 cups of flour, which can be written as 3 + 3/10 = 33/10 cups.
The amount John actually used is three and five-eighths cups of flour, which can be written as 3 + 5/8 = 8/8 + 5/8 = 13/8 cups.
To find the extra amount of flour John put in as a fraction, we subtract the fraction called for in the recipe from the fraction he used:
13/8 - 33/10
To subtract fractions with different denominators, we need to find a common denominator. The least common denominator (LCD) for 8 and 10 is 40.
Converting the fractions to have a denominator of 40, we get:
(13/8) * (5/5) = 65/40
(33/10) * (4/4) = 132/40
Subtracting the fractions, we have:
65/40 - 132/40 = (65 - 132)/40 = -67/40
Therefore, John put in an extra -67/40 cups of flour, which can also be written as -1 and 27/40 cups.
option : 13/40 3 5/8 6 37/40 132/145
Apologies for the confusion. Let's find the extra amount of flour John put in as a fraction.
The amount called for in the recipe is three and 3/10 cups of flour, which can be written as 33/10 cups.
The amount John actually used is three and five-eighths cups of flour, which can be written as 13/8 cups.
To find the extra amount of flour, we subtract the fraction called for in the recipe from the fraction he used:
13/8 - 33/10
To subtract fractions with different denominators, we need to find a common denominator. The least common denominator (LCD) for 8 and 10 is 40.
Converting the fractions to have a denominator of 40:
(13/8) * (5/5) = 65/40
(33/10) * (4/4) = 132/40
Subtracting the fractions, we have:
65/40 - 132/40 = -67/40
Therefore, John put in an extra -67/40 cups of flour.
Please note that this is a negative fraction, indicating that John used less flour than the recipe called for.
i dont care chose one
What inverse operation will be used to solve the problem X slash 9 = 3?
To solve the equation X/9 = 3, we need to isolate the variable X.
The inverse operation of dividing by 9 is multiplying by 9.
So, to solve for X, we need to multiply both sides of the equation by 9:
(X/9) * 9 = 3 * 9
This simplifies to:
X = 27
Therefore, the inverse operation used to solve the equation X/9 = 3 is multiplication by 9.
Amelia earns a weekly allowance at the start of each week. She started the week with just her weekly allowance. Then she spent half of her weekly allowance at the movies. To earn more money, her parents let her cleaning windows in the house for $5. What is her weekly allowance if she ended up?This week with $8 solving.Using arithmetic or algebra and explain your steps.
Let's denote Amelia's weekly allowance as "x".
According to the problem, Amelia started the week with just her weekly allowance. So, at the beginning of the week, she had x dollars.
Then, she spent half of her weekly allowance at the movies. This means she spent (1/2)x dollars.
After spending at the movies, Amelia cleaned windows in her house and earned 5 dollars. So, her total earnings are (1/2)x + 5 dollars.
According to the problem, Amelia ended up with 8 dollars at the end of the week. So, we can set up the equation:
(1/2)x + 5 = 8
To solve this equation for x, we can start by subtracting 5 from both sides:
(1/2)x = 8 - 5
(1/2)x = 3
Next, to isolate x, we can multiply both sides of the equation by 2:
2 * (1/2)x = 2 * 3
x = 6
Therefore, Amelia's weekly allowance is 6 dollars.
make it sound like a 7th grader wrote it plz
Amelia gets her weekly allowance at the beginning of each week. Let's say her allowance is 'x' dollars. She started the week with that amount.
During the week, Amelia went to the movies and spent half of her allowance. That means she spent half of 'x', which is written as (1/2)x.
But to earn more money, Amelia cleaned windows in her house and earned an extra 5 dollars. Yay!
So overall, she ended up with a total of 8 dollars in her hand by the end of the week. That means the total amount of money Amelia had after spending and earning is 8 dollars.
Now, we need to find the value of her weekly allowance 'x'. We can set up an equation to do that.
(1/2)x + 5 = 8
To find the value of 'x', we need to isolate it on one side of the equation. Start by subtracting 5 from both sides:
(1/2)x = 8 - 5
(1/2)x = 3
Next, to figure out 'x', we want to get rid of the fraction. We can do that by multiplying both sides by 2:
2 * (1/2)x = 2 * 3
x = 6
So, Amelia's weekly allowance is 6 dollars.
dumb it down
Amelia gets some money from her parents every week. Let's say she gets 'x' dollars as her weekly allowance. At the start of the week, she had that amount of money.
During the week, Amelia went to the movies and spent half of her allowance, which is half of 'x' dollars or (1/2)x dollars.
But she also earned some extra money by cleaning windows in her house. She earned 5 dollars more.
When the week ended, Amelia had a total of 8 dollars left in her hand.
Now we need to figure out how much her weekly allowance 'x' is.
To do that, we write an equation to represent the situation:
(1/2)x + 5 = 8
To find the value of 'x', we need to make one side of the equation equal to 'x' by itself. We can do this by following some steps.
First, subtract 5 from both sides to move it away from 'x':
(1/2)x = 8 - 5
(1/2)x = 3
Next, we want to find what number 'x' represents. To do that, we need to remove the fraction by multiplying both sides by 2:
2 * (1/2)x = 2 * 3
x = 6
So, Amelia's weekly allowance is 6 dollars.