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Alina [70]
4 years ago
11

A direct variation function contains the points (-9, -3) and (-12, -4) Which equation represents the function?

Mathematics
1 answer:
Bezzdna [24]4 years ago
8 0

Answer:

y = \frac{1}{3} x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (- 9, - 3), then

k = \frac{y}{x} = \frac{-3}{-9} = \frac{1}{3}

y = \frac{1}{3} x ← equation of function

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Trey had a cylindrical can with a radius of 4 inches and a height of 12 inches that was completely full of beet juice. He poured
Arisa [49]

Answer:

8\ glasses\ of\ juice

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=4\ in\\ h=12\ in

substitute the values

V=\pi (4)^{2}(12)=192\pi\ in^{3}

step 2

Find the volume of the cylindrical glasses

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=2\ in\\ h=8\ in

substitute the values

V=\pi (2)^{2}(8)=32\pi\ in^{3}

Find the volume of 3/4 of the glass

32\pi (\frac{3}{4})=24\pi\ in^{3}

step 3

Divide the total volume of cylindrical can by the 3/4 volume of the glass

192\pi\ in^{3}/24\pi\ in^{3}=8\ glasses\ of\ juice

6 0
3 years ago
How do you solve 15+b=23
nexus9112 [7]
You can solve it with the numbers you already have. 

so, 23 - 15 = 8

so 15 + 8 = 23

b is 8 (:
5 0
4 years ago
A box contains 4 bags of sugar. the total mass of all 4 bags is 6 kilograms. what is the mass of each bag in grams?
OLga [1]
6 kilograms is 6000g (I think haha) so that divided by 4 would be 1500g.
8 0
3 years ago
Can you organize collections of numbers into mathematical sets?
Bezzdna [24]
Yes by 10's and hundreds and ones place and even and odd. And pine and composite
6 0
3 years ago
A number minus 9 is twelve
TiliK225 [7]

Answer:

The answer is 21

Step-by-step explanation:

All you have to do is 9+12

Brainliest??

5 0
4 years ago
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