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slega [8]
3 years ago
7

Y is directly related to x and y is 81 when x is 27 the constant of.variation is

Mathematics
1 answer:
suter [353]3 years ago
6 0

Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

y=81

x=27

And y is directly related to x

y ∝ x

Here k is constant of variation

y=kx

k=\frac{y}{x}--------------(1)

Put the y and x value in equation 1.

k=\frac{81}{27}

k=3

So, the constant of variation is 3.

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What is ( 5*5)+(50%*2)=
Veronika [31]

Answer:

Step-by-step explanation:

50% = 0.5

(5 * 5) + (0.5 * 2) =

25 + 1 =

26 <===

5 0
3 years ago
True or false? I'm deductive thinking, you start with a given set of rules and conditions and determine what must be true as a c
aksik [14]
Deductive thinking: When you start with a given set of rules and conditions and determine what must be true as a consequence.

So the answer is true.
7 0
3 years ago
The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The
Kamila [148]

Answer:

the original area is 64ft squared or 169ft squared more perdurable 64  

Step-by-step explanation:

(x-2)(x+7)=90

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x^2 +5x -104=0

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4 0
3 years ago
A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was
mamaluj [8]

Solving a system of equations, we can see that:

  • Speed of the private jet: 168 mi/h
  • Speed of the commercial jet: 192mi/h

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

  • P = speed of the private jet.
  • C = speed of the commercial jet.

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
(17,11) (5,0) find the slope show the work
Allushta [10]
0-11/5-17=11/12 is the answer to your question. The work is the equation.
4 0
3 years ago
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