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alexandr402 [8]
3 years ago
13

Find the constant of proportionality (r) in the equation y=rx

Mathematics
2 answers:
ahrayia [7]3 years ago
8 0

Answer:

r = \frac{1}{4}

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

\frac{y}{x} = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = \frac{2}{8} = \frac{1}{4}

Vlad1618 [11]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

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Which equation does not have the same solution as the others?
dem82 [27]
<span>The answer is B. X-9=17 
Hope this helped! :)</span>
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4 years ago
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2/5of a number is 80. What is 34of the same number?
Masja [62]

Answer:

150

Step-by-step explanation:

First you have to find what number 80 is 2/5 of, to do this do the reciprocal of 2/5 which would be 5/2. Multiply 80 by 5/2 and you'll get 200, then find what 3/4 of 200. Multiply 200 by 3, then divide by 4 to get the answer of 150.

3 0
3 years ago
A baker used 2 5/6 pounds of butter to make cookies. On a particular day, the baker used 8 1/2 pounds of butter to make cookies.
ddd [48]
8 1/2 / 2 5/6 

<span>17/2 / 17/6 </span>

<span>1/2 / 1/6 </span>

<span>3 </span>
3 0
3 years ago
2 factors that add to 6 but multiply to 60
hodyreva [135]

Answer:

The short answer is there isn’t.

Start by writing each of these as an expression:

x * y = 60

x + y = 7

Next, solve each for the same variable; in this case, y:

(x * y) / x = 60 / x

.: y = 60 / x

(x + y) - x = 7 - x

.: y = 7 - x

Next, replace y of the second expression to the first

y = 60 / x & y = 7 - x

.: 7 - x = 60 / x

Now, solve for x:

(7 - x) * x = (60 / x) * x

.: x * 7 - x^2 = 60

This is quadratic, so write it in the form of ax2 + bx + x = 0

(-1)x^2 + (7)x + (-60) = 0

.: a = -1, b = 7, c = -60

Finally solve for b:

x = (-b +- sqrt(b^2 - 4*a*c)) / 2a

.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)

.: x = (-7 +- sqrt(49 - 240)) / -2

.: x = (-7 +- sqrt(-191)) / -2

The square root of a negative value is imaginary and thus there’s no real answer to this problem.

8 0
3 years ago
20 points help w part b
Hatshy [7]

Answer:

8:07 am

Step-by-step explanation:

It takes 9 minutes to walk from his house to the bus station.  It then takes 92 minutes for the bus to travel from Birmingham to Coventry.  After arriving, he takes 12 minutes to reach his workplace.  This takes a total of 113 minutes.

9 + 92 + 12 = 113

Convert 113 minutes to hours and minutes.

113 - 60 = 53

1 hr and 53 min

He has to be at work by 10.  Subtract the time it takes to get to his work by the time he has to get there.

10 - 1 hr = 9

9 - 53 min = 8:07

The latest time he can leave is 8:07.

3 0
4 years ago
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