4 batches: 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 = 4 4/4 = 5
6 batches: 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 = 6 6/4 = 7 1/2
7 batches: 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 = 7 7/4 = 8 3/4
8 batches: 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 + 1 1/4 = 8 8/4 = 10
The answer is C because 8 batches needs 10 cups of flour, and 7 batches is closest to 9 cups than 6 batches.
You can also look at it like this:
1 1/4c ≤ 9 (c is # of cups)
Or you could have multiplied 4, 6, 7, 8 to 1 1/4 or 1.25
Answer:
12%
Step-by-step explanation:
140/125= 1.12
Now ignore the one that lies before the decimal because technically percentage is based on hundreds so both 125 and 140 are over 12%
Cookies= 4x 3 = $12.00
Muffins = 24x2 = $48.00
Total sales = $60.00
9514 1404 393
Answer:
- 12 boxes
- 10 pencils, 9 notebooks
Step-by-step explanation:
a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.
120 = 12×10
108 = 12×9 . . . . 12 is the greatest common divisor
Matthew can make 12 boxes with equal numbers of the items.
__
b) 120 pencils divided by 12 will be 10 pencils per box.
108 notebooks divided by 12 will be 9 notebooks per box.
_____
<em>Additional comment</em>
It helps to be familiar with multiplication tables up to about 12×12.
The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.
Here, we have ...
120/108 = 1 r 12.
108/12 = 9 r 0 ⇒ 12 is the GCD
Yes
Explanation: y = 6x + 2
y = x + 7
Combine the equation
6x + 2 = x + 7
Collect like terms
6x -x = 7 - 2
5x = 5
X = 1
Substitute x =1
Into any equation
y = 6(1) + 2
y= 6 + 2
y= 8
(1,8)
