Answer:
26
Step-by-step explanation:
1 batch is 1/4 cups of cranberries.
This means that we have to find the number of groups of 1/4 in 6 1/2 cups to find the number of batches.
(The decimal forms of these numbers are 6.5 and 0.25)
6.5/0.25=26
There are 26 batches
Answer:
The quotient of two integers may not always be an integer.
Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.
Step-by-step explanation:
The student is not largely correct!
The sum, difference, and product of two integers is indeed always an integer.
But, the quotient of two integers may not always be an integer.
- For example, the quotient of integers 4 and 2 will be an integer.
i.e.
4/2 = 2
- But, if we take the quotient of 2 and 3, the result will not be an integer.
i.e.
2/3 = 0.67
Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.
So, this would be a common circle question.
First, 20 degrees from a circle's curcumference would be 20/360, which is 1/18.
This means that the length of the arc of AB should be 1/18 of the circumference.
The formula for the circumference it 2pi*r
2*pi*27=54pi
54pi* 1/18= 6 pi
To find the area of a rectangle, we multiply the Base by the Height. In this case the: Base = AB and Height = BC
So to get the area, we multiply AB by BC. (and we know that <em>BC = 5x+5/x+3</em> <em>and BC = [3x+9/2x-4)</em>
So we would do:
x 
Note: When multiplying fractions together, we multiply the numerator by the numerator, and the denominator by the denominator.
For example 
x 
= 
Answer: x = 
= 
[<em>Note: </em><em>we are able to factorise some brackets to make the sum easier. For example we can factor out the 5 in (5x+5) to get: 5(x+1) ]</em>
Now lets simplify by multiplying the 5 and 3 together in the numerator:
= 
If you notice, there is a (x+3) in numerator and the denominator. This means that we can cancel out the (x+3), to get the most simplified expression for the area:
= 
Final Simplified Answer: which is the last option
