7 cups; there are two cups per pint, so three and a half pints equals seven cups of milk.
To be divisible by 63, it must be divisible by both 7 and 9, since 7x9 = 63. Factor the expression, simplify, and see if both 7 and 9 are factors, which would make it divisible by both 7 and 9. (163 - 83)(43 + 23) = [(24)3 - (23)3] [(22)3 + 23] = (212 - 29)(26 + 23) = [29(23 - 1)] [23(23 + 1)] = [29(8 - 1)] [23(8 + 1)] = 29(7) 23 (9) = 63(212) It is a multiple of 63, and hence divisible by 63.
Answer:
The highest floor that the ladder could safely reach is approximately 38.73 feet
Step-by-step explanation:
OSHA requirement for the use of non-self-supporting ladders includes the requirement that the horizontal distance between the point at the top where the ladder is supported and the foot of the ladder should be about a quarter of the ladder's working length
The given length of the longest ladder available at hardware stores, l = 40 feet
Therefore;
The horizontal distance between top support and the foot of the ladder, d = 1/4 × 40 feet = 10 feet
According to Pythagoras theorem, the height, 'h', of the ladder is goven as follows;
l² = d² + h²
∴ h² = l² - d²
Therefore, we have;
h² = 40² - 10² = 1500
h = √1500 = 10·√15
Therefore, the height of the highest floor that can be safely reached with the ladder, h = 10·√15 feet ≈ 38.73 feet.
54 / 2 2/3 =
54/1 / 8/3 =
54/1 x 3/8 = 162/8 = 20 1/4 miles per month
We need to solve the system of equations here.
Our main objective is to remove one of the variables.
To do so we can multiply the second equation by 2 and get 2x+4y=-8
Then we can subtract our new equation from the earlier one and get -5y=21
thus we know y=-21/5=-4.2
we plug that back into the equation and find x
2x-(-4.2*3)=13
2x=25.6
x= 12.8
so the solution is 12.8,-4.2