The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120
The modulo (or "modulus" or "mod") is the remainder after dividing one number by another.
The smallest integer is 120, since:
mod 18 = 0, (reminder after dividing by 18 is 0) and
mod 640 = 0 (reminder after dividing by 18 is 0)
Hence, The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120.
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Answer:
It takes 26 2/3 gallons to make a 400 mile trip.
Step-by-step explanation:
This question is simply asking for the number of miles per gallon . In math, <em>per</em> means this is meant to be written as a fraction.
"If a trip of 270 miles required 18 gallons of gas" is actually saying "270 miles per 18 gallons." This can be written as a fraction like so: 270/18.
If we're looking for the amount of gas used for a 400 mile trip, we have the fraction: 400/g, g being the amount of gallons it took to make that trip.
Now we can set up the proportion:
Cross multiply and solve accordingly.
400/g
So the answer is:
It takes 26 2/3 gallons to make a 400 mile trip.
Answer:
9.1 (A)
Step-by-step explanation:
27.9 - 18.8 = 9.1
hope this helps u
Answer:
150 ft
Step-by-step explanation:
Apply pythagorean theorem to find length of hypotenuse, side c:
Pythagorean theorem is given as:
c² = a² + b²
a = 90 ft
b = 120 ft
c = hypotenuse
Plug in the values
c² = 90² + 120²
c² = 22,500
Take the square root of both sides
c = √22,500
c = 150 ft
Answer:
D
Step-by-step explanation:
The correct answer is D because 7 plus 3 is 10, not 11