Answer:
12;16
Step-by-step explanation:
The Pythagorean theorem states that
a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.
This means that we have to find 2 values that once squared, add up to 400. (20^2)
Based on this, we can use the values of 12 and 16 to satisfy this.
12^2+16^2=144*256=400
Therefore, the legs of the triangle are 12 and 16.
Let the function be y = ax + c.
For (-1,8), 8 = a(-1) + c → 8 = - a + c
For (5,6), 6 = a(5) + c → 6 = 5a + c
Subtract one from abother,
2 = - 6a => - 1/3 = a
Hence, 8 = - 1/3 + c → 23/3 = c
Relation is:
y = (-1/3)x + (23/3)
3y = - x + 23
3y = 23 - x
A = fruit juice 40%
B= 90% juice
then
30 gallons + A = 55• C/100
30 gallons + N • (40/100) = (30 + N)• (55/100)
Now solve this equation, for N
3000 + 40N = (30+N) •55
then
3000 - 1650 = 55N - 40 N = 15N
1350 = 15 N
then
N= 1350/15 = 90
Then answer is
Should be mixed 90 gallons of 40% fruit punch
Because you can do the math of 4 times 5000 in your head *20,000* and then add what you got when you multiplied 4 × 384
