(2x + 4y - 3z) + (3y + 2z + 6x) + (4z - 8x - 7y)
= 2x + 4y - 3z + 3y + 2z + 6x + 4z - 8x - 7y
= (2x + 6x - 8x) + (4y + 3y - 7y) + (-3z + 2z + 4z)
= 0 + 0 + 3z
= 3z
Answer:
The answer is 108mi
Step-by-step explanation:
to solve this problem, we need to write a ratio.
to solve for 3 hours, we need to figure out how many miles the bird can fly in 1 hour. to do that, we need to divide the numerator and denominator by 13.
now we have a unit rate that represents distance covered per hour.
to solve for 3, we need to multiply the numerator and denominator by 3.
the question is asking for <u>miles.</u> therefore, the bird can fly 108mi in 3 hrs.
hope this helps!
Answer:
84km
Step-by-step explanation:
He has to travel 7 km in the morning to school and 7 km in the afternoon to home. 7km x 2 = 14km/day
He's making this trip 6 days a week: 6 days x 14km/day = 84km
7km x 2/day x 6 days = 84km
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
