Answer:
cups of butter should be use to keep the same ratio.
Step-by-step explanation:
Given:
A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.
If you plan to use 5 cups of flour.
Now, to find the butter should be used to keep the same ratio.
So, to get the quantity of butter by using unitary method:
If, 
cup of flour use then butter should be = 
.
So, 1 cup of flour use then butter should be = 
= 
.
Thus, for 5 cups of flour butter should be = 
= 
.
Therefore, cups of butter should be use to keep the same ratio.
Answer = d
using the 30 - 60 - 90 triangle theorem
side across from the angle
across from angle 30 is x
across from angle 60 is x rad. 3
across from 90 is 2x
BC is across from angle 60
so BC is the x rad 3
set the given measurement equal to it
x sqrt 3 = 5
÷ sqrt 3 ÷ sqrt 3
x = (5/ sqrt 3)
multiply top and bottom by the radical to get rid of the radical in the bottom
x = (5/ sqrt 3) × (sqrt 3/sqrt 3)
x = 5 sqrt 3/ 3
since side BC is x
BC = 5 sqrt 3/ 3
* Drawing the triangle diagram would help*
I hope this helps you
if 1 stitch 1/4 inch
72 stitches ? inches
?=72.1/4
?=18 inches
Hello! The x-intercept is where the line crosses the x-axis when y = 0. We already have the expression shown. We will plug in 0 as y to get this:
5x - 8(0) = 40.
As you probably know, anything times 0 is 0, so -8 * 0 is 0. All we have is 5x = 40. Divide each side by 5 to isolate the x. 5x/5 cancels out. 40/5 is 8. There. x = 8. The x-intercept is (8, 0).
You have to calculate how many combinations of 6 people can be chosen from 11. The formula for this is:
n! / [r! * (n-r)!]
combinations = 11! / [6! * 5!] =
11 * 10 * 9 * 8 * 7 / 5 * 4 * 3 * 2 *1 =
11 * 3 * 2 * 7 =
462 Combinations
Source:
http://www.1728.org/combinat.htm
