Answer:
1/3 cup of juice per cup of berries
Step-by-step explanation:
The table shows that if we go from 0 to 4 cups (a "run" of 4 cups), the juice output is 1 1/3 (or 4/3) (a "rise" of 4/3 cups), and so the desired constant of proportionality is the unit rate
(4/3) cups
------------------------ = 1/3 cup of juice per cup of berries
4 cups berries
<h3>
Answer: 8 winter hats</h3>
Explanation:
x = number of winter hats
20-x = number of baseball hats
Dividing those quantities will get us 2/3 because of the ratio 2:3
x/(20-x) = 2/3
3x = 2(20-x)
3x = 40-2x
3x+2x = 40
5x = 40
x = 40/5
x = 8
There are 8 winter hats
And there are 20-x = 20-8 = 12 baseball hats.
The ratio 8:12 reduces to 2:3 after dividing both parts by 4. This helps confirm the answer.
Answer:

Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (side opposite the right angle)
From inspection of the diagram:
= x- O = 8
- A = 6
- H = 10

Answer:
51 dollars
Step-by-step explanation: