Answer:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Step-by-step explanation:
We are given the ratio:
Blue paint : Red paint =
8 : 5
Sum of proportion = 8 + 5 = 13
If the customer need 65 gallons of paint,
a) Number of gallons of blue paint needed =
8/13 × 65 gallons = 40 gallons
b) Number of gallons of red paint needed =
5/13 × 65 gallons = 25 gallons
Therefore:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Add the two and you should get 2 and 7/16
Answer:
turn the decimal into a whole number by multiplying by 10, 100 (what you do to one number you must do to the other)
multiply both by 10 it then becomes
540/75 = 7.2
it's easier to divide whole numbers and is the same answer as 54/7.5
Answer:
Zero(0)
Step-by-step explanation:
From the given information, we are to determine the probability that both ships are hit given that the pirate shoots first.
There are two scenarios
Since the pirate is to shoot first
- If the pirate misses, the Captain's ship is not hit. Therefore there's no chance of both ships getting hit.
- If the pirate hits, we are told that if his ship has been hit, Captain Daniel will always miss. Therefore there is also no chance of both ships getting hit.
P(both ships to be hit given that pirate shoots first) =0
Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
