The original recipe is for 36 muffins, they want to make 12:
Find the ratio:
12/36 = 1/3
They would need 1/3 of the recipe, so you would divide all the ingredients by 3.
Flour: 5 1/4 cups = 21/4 cups
21/4 / 3 = 21/12 = 1 3/4 cups.
Oil: 1 cup / 3 = 1/3 cup
Baking powder: 4 1/2 = 9/2
9/2 / 3 = 9/6 = 1 1/2 teaspoons
salt: 1 1/2 = 3/2
3/2 / 3 = 3/6 = 1/2 teaspoons
eggs 3 / 1 = 1 egg
Nutmeg: 1 1/2 = 3/2
3/2 / 3 = 1/2 teaspoons
cinnamon: 3/4 / 3 = 1/4 teaspoon
The amount of sugar and milk aren't listed but just divide those by 3 to find the amount needed.
Answer:
vertical transition of 6 units.
Step-by-step explanation:
x,y
y is affected y+6
y represents the number before the translation
Answer:
2
Step-by-step explanation:
The given equation of line is
We need to find the slope of a line which is perpendicular to the given line.
The given equation can be rewritten as
...(i)
If a line is defined as
, then the slope of the line is
In equation (i), a=3, b=6 and c=18. So, slope of the line is
Let
be the slope of perpendicular line.
We know that product of two perpendicular line is -1.
Multiply both sides by -2.
Therefore, the slope of perpendicular line is 2.
Answer:
³⅜
Step-by-step explanation:
⁴⁵⅖
+⁷⅝×⅖i
I HOPE IT HELP TYSM
105° can be expressed as 60°+45°. What we have then is sin(60°+45°). The sum pattern for sin is sin(a)cos(b)+cos(a)sin(b). We will fill in as follows: sin(60)c0s(45)+cos(60)sin(45). Now draw those special right triangles in the first quadrant to get the exact values for each. The sin of 60 is

, the cos of 45 is

, the cos of 60 is 1/2, and the sin of 45 is

. When we put all that together we get

. Simplifying all of that we have

. We can put that over the common denominator that is already there and get

. Not sure if that's simplified enough; you may be at the point in class where you are rationalizing your denominator, but I'm not sure, and if you're not, I don't want to confuse you.