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liq [111]
2 years ago
11

Help asap will give 40 points

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
3 0

Answer: 1/3

Step-by-step explanation:

You might be interested in
Hye Lim drank 4/3 gallons of water in 11/2 hours. At this rate, how long will it take her to drink 4 gallons of water?
snow_lady [41]

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!

3 0
3 years ago
In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were fou
jarptica [38.1K]

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

3 0
2 years ago
What is 45.6 people per 3 square miles
Archy [21]

Answer:

I think that the correct answer is 15.2

Step-by-step explanation:

3 divided by 45.6 =15.2

4 0
3 years ago
How do you solve this?!
Norma-Jean [14]

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



4 0
3 years ago
Find the point on the line y = 2x + 3 that is closest to the origin.
ch4aika [34]
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)

3 0
3 years ago
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