8 675/1000
8 27/40
hope this helps
Answer:
1.875 or 
cups of pretzel
Step-by-step explanation:
The number of cups needed is equivalent to the probability of pretzel in the mix times the number of cups in the mix.
-The probability of pretzel is :
We multiply this probability by the number of cups of the mix:
Hence, 1.875 or 1/7/8 cups of pretzel is needed.
Answer:
3 x= 9
3x-4+4=5+4
Step-by-step explanation:
........
Answer:
D is the similar triangle
Step-by-step explanation:
A quick solution to this problem is using the hypotenuse.
You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)
Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.
To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.
Now check for both cos and tan
Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4 CHECKS OUT
Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5 CHECKS OUT
Since everything checks out, then answer D is truly correct.
19x + rx = -37x + w
Add 37x on both sides
19x + rx + 37x = w
Factor out the x
x(19 + r + 37) = w
You can simplify this to:
x(56 + r) = w
Divide (56 + r) on both sides to get x by itself
x = 
