15 and a half (15.5) quarts
Get each in common units
Orange 2 gallons X 4 quart per gallon = 8 quarts
Pineapple 4 quarts no change
Cranberry 3 pints / 2 pints per quart = 1.5 quarts
Apple 8 cups / 4 cups per quart = 2 quarts
Add them all together 8+4+1.5+2=15.5
To prove it, you can use the Pythagorean theorem and plug in the numbers. If it equals the same number on both sides it is a Pythagorean triple.
a² + b² = c² (c is the hypotenuse or the longest side/length)
77² + 420² = 427²
5929 + 176400 = 182329
182329 = 182329
It is a Pythagorean triple
Answer:
112 in.³
Step-by-step explanation:
This box is a combination of two rectangular prisms:
bottom - 9 in. by 2 in. by 4 in.
top - 5 in. by 2 in. by 4 in.
total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.
total volume = 112 in.³
Answer:
0.064 = 6.4% probability that all three black socks are black if you replace each sock before selecting the next one
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
There are 10 socks, four of which are black.
The socks are replaced, which means for each time a sock is picked, there is a 4/10 = 0.4 probability of being black.
Three socks:
(0.4)^3 = 0.064
0.064 = 6.4% probability that all three black socks are black if you replace each sock before selecting the next one
Answer:
60°
Step-by-step explanation:
Complementary angles add to 90°, so if x is double its complement, then x + (1/2)x = 90. Doing the algebra gets you to x = 60. You know that answer is correct because 60 is double 30, which is its complement.