Answer: the answer will be 24/15
Step-by-step explanation:
The ratio of pineapple juice to ginger ale is 3:4. To get from 4 cups of ginger ale to 16 cups, we multiply by four. To keep the ratio, we do the same to the amount of pineapple juice so there should be 12 cups of pineapple juice. To check our ratio, we can see that 12:16 simplifies to 3:4 when we divide by four.
Answer: 12 cups of pineapple juice
Let ticket be x and meal be y
So $0.50 for each movie ticket = 0.50x
$2 for each meal = 2y
He purchased 22 tickets, so x = 22
0.50 * 22 = $ 11
Now the total value is $25 (with both ticket and meal)
total = t
0.50x + 2y = t
you know x = 22 and t = 25
11 + 2y = 25
Part A)
2y = 25 -11
y = 14/2
y = 7
Number of meal is 7
Part B)
(don't know about part B)
0.50x + 2y = 25
0.50(22) + 2(7) = 25
11 + 14 = 25
25 = 25
Answer:
- 
Step-by-step explanation:
Using the addition formula for cosine
cos(A + B) = cosAcosB - sinAsinB
Given sin A = - 
= 
and in fourth quadrant, then
the triangle is a 7 - 24- 25 right triangle with adjacent side 24
In fourth quadrant cosine ratio is positive , thus
cos A = 
= 
------------------------------------------------------------------
Given sin B = - 
= and in third quadrant, then
the triangle is a 5- 12- 13 right triangle with adjacent side 5
In third quadrant cosine ratio is negative, thus
cos B = = - 
Thus
cosAcosB - sinAsinB
= ( × - ) - (- × - )
= - 
- 
= -
