Answer:
16.5 hours
Step-by-step explanation:
Here is the explanation. As Hye drinks 4/3 gallons of water in 11/2 hours, we have a constant rate. There are 12 thirds in 4, so we are trying to find how long it takes Hye to drink 12/3 gallon. In this case, 4/3x3=12/3, so we multiply 11/2 by 3 as well, which gives us 33/2 hours. 33/2 in decimal form is 16.5 hours. Hope it helps!
Answer:
195
Step-by-step explanation:
Let wining name have, x votes
1st = x
2nd = x - 53
3rd = x - 79
4th = x - 105
x + (x - 53) + (x - 79) + (x - 105) = 963
x + x - 53 + x - 79 + x - 105 = 963
4x - 237 = 963
4x = 963 + 237
4x = 1200
x = 1200 / 4
x = 300
4th = x - 105
x - 105 = 300 - 105 = 195
Answer:
I think that the correct answer is 15.2
Step-by-step explanation:
3 divided by 45.6 =15.2
Answer:
x² + 4xy + 4y²
Step-by-step explanation:
(x + 2y)² = (x + 2y)(x + 2y)
Each term in the second factor is multiplied by each term in the first factor
(x + 2y)(x + 2y)
= x(x + 2y) + 2y(x + 2y) ← distribute both parenthesis
= x² + 2xy + 2xy + 4y² ← collect like terms
= x² + 4xy + 4y²
1)We have to make a line perpendicular to y=2x+3, passing through the point (0,0).
y=2x+3
m=solpe=2
The slope of the line perpedicular to y=2x+3 is m´
m´=-1/m
m´=-1/2
Point slope form:
y-y₀=m(x-x₀)
(0,0)
m=-1/2
y-0=-1/2(x-0)
y=-x/2
Therefore, the line perpendicular to y=2x+3 is y=-x/2.
2)The point on the line y=2x+3 tha is closest to the origin is the point of intersection of the two lines.
y=2x+3
y=-x/2
We can solve this system of equations by equalization method.
2x+3=-x/2
least common multiple=2
4x+6=-x
4x+x=-6
5x=-6
x=-6/5 (=-1.2)
y=-x/2
y=-(-6/5)/2=6/10=3/5 (=0,6)
Therefore: the point of the line y=2x+3 that is closest to the origin is:
(-1.2 , 0.6)