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Romashka [77]
3 years ago
8

Determine the constant of variation for the direct variation given.

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

B. 5

Step-by-step explanation:

We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.

We know that two directly proportional quantities are in form y=kx, where,

k = Constant of variation.

Upon substituting our given values, we will get:

R=k*S

80=k*16

\frac{80}{16}=\frac{k*16}{16}

5=k

Therefore, the constant of variation is 5 and option B is the correct choice.

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A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Whic
Rudiy27

Answer:

A. {(1, 6.7), (2, 6.4), (3, 6.1)}

Step-by-step explanation:

The watering can dispenses water at a rate of 0.3 gallon per minute and the original volume of water in the can was 7 gallons.

Let y represent the volume of water in the can in gallons

Let x represent time in minutes

f(x) = y = 7 – 0.3(x)

When x = 1,

y = 7 – 0.3(1)

= 7 – 0.3

= 6.7

The pair will be (1, 6.7)

When x = 2,

y = 7 – 0.3(2)

= 7 – 0.6

= 6.4

The pair will be (2, 6.4)

When x = 3,

y = 7 – 0.3(3)

= 7 – 0.9

= 6.1

The pair will be (3, 6.1)

The set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water is {(1, 6.7), (2, 6.4), (3, 6.1)}  

4 0
3 years ago
If x to the 2nd power equal 60, What is the value of x
Sedaia [141]

Answer:

7.745

Step-by-step explanation:

Square root of 60 equals X.

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A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the lengt
MrRissso [65]

Answer:

10 km

Step-by-step explanation:

volume of cube = s^3

1 m = 100 cm

volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3

Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.

1,000,000 cm = 10,000 m = 10 km

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A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
klemol [59]

Answer:

91

Step-by-step explanation:

I used a calculator and if you add 76​, 93​, 89​, 71 to 91 it equals 420 and if you divide that by 5 it is 84.

Hope this helps!

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Alice owns a monthly salary of $315 plus a commission on her total sales last month or total sales were $9640 and she earned a t
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It's $1082.60•9640 which equals 1'"0=*000.
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