Answer:
22.5 quarts
Step-by-step explanation:
Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.
The ratio of orange juice to apple juice is therefore:
2 : 5 or 2/5
Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:
2 / 5 = 9 / x
x = (9 * 5) / 2 = 22.5 quarts
He will need 22.5 quarts of apple juice.
Answer:
Step-by-step explanation:
31 - 12n = 21l Subtract 31 from both sides.
31-31-12n =211-31 Do the subtraction
-12n = 190 Divide by -12
-12n/-12 = 190/-12
n = -15.333333
Answer:
Bailey family's sprinkler was used for 35 hours and Harris family's sprinkler was used for 20 hours.
Step-by-step explanation:
Set up a system of equations.
Let be "b" the time Bailey family's sprinkler was used and "h" the time Harris family's sprinkler was used.
Then:
You can use the Elimination method. Multiply the first equation by -15, then add both equations and solve for "h":
Substitute 
into an original equation and solve for "b":
Answer:
-2i+8
Step-by-step explanation:
(1+i)(3-5i)
3+3i-5i-5i^2
3-2i-5(-1), because i^2=-1,
3-2i+5
-2i+3+5
-2i+8
Assuming a spherical Earth, the circumference varies as the cosine of the latitude. Your latitude is
arccos(2/3) ≈ 48.1897° ≈ 48° 11' 22.9"
_____
North or South, it doesn't matter.
