Answer:
Step-by-step explanation:
An estimate is usually a guess, but I somehow think that's not what you want.
She starts with 4 2/3 cups of batter. When she divides it into two, one of the batters has 2 1/4 cups. That's the one she puts blueberries in.
The other batter is the one you are interested in. How big is it?
Estimate: One
The estimated size would be 4 2/3 - 2 1/3 = 2 1/3 which is an estimate. It is just taking the closest number to use so you don't have to grab your calculator.
Actual Size: Two
4 2/3 - 2 1/4 is the size of the second batter. Since 2/3 is greater than 1/4 you need only subtract the whole numbers and then the fractions.
<em><u>Whole number subtraction:</u></em> 4 - 2 = 2
<em><u>Fraction subtraction:</u></em> 2/3 - 1/4
Find the Lowest common multiple between 3 and 4: It is 12. 3 and 4 are prime to each other. They have nothing in common.
- 2/3 to 12s: (2*4)/(3*4) = 8 / 12
- 1/4 to 12s: (1 *3) / (4*3) = 3/12
- 8/12 - 3/12 = 5/12
So the actual size of the batter containing the walnuts is 2 5/12
You have to use a ratio so in order to answer the question find out how many times 100 goes into 7,764 which is 77.64 and then multiply 77.64 by 6 which is your answer 465.64
9514 1404 393
Answer:
(x, y) = (1/2, 5)
Step-by-step explanation:
We observe that the y-terms have coefficients 7 and -14. If we want to eliminate the y-terms, we need to multiply 7 by a factor that makes it be the opposite of -14. That factor will be -(-14)/7 = 2.
After multiplying the first equation by 2, we have ...
- 16x +14y = 78
- 4x -14y = -68
Adding these two equations gives ...
20x = 10
Solving for x, we need to divide by 20:
x = 10/20 = 1/2
Substituting this into the first equation, we get ...
8(1/2) +7y = 39
7y = 35 . . . . . . subtract 4
y = 35/7 = 5 . . . divide by 7
Then the solution is (x, y) = (1/2, 5).
_____
<em>Check</em>
We used the first equation to find y, so we know the x- and y-values satisfy the first equation. We need to check the result using the second equation.
4(1/2) -14(5) = -68
2 -70 = -68 . . . . . . . true; result checks OK
Answer:
Step-by-step explanation:
19 is rounded to 20, because the tenths place is bigger than 5.
So you would take
120 divided by 6=20