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IrinaK [193]
3 years ago
10

The equation y = 26.2x represents the number of miles y Conrad runs in x marathons. Determine if there is a constant of variatio

n. If so, explain what it represents.
Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

Answer:

Yes, there is a constant of variation

Step-by-step explanation:

Let's see, we have a linear equation that is as follows:

<em>y = 26.2 * x. </em>

The first thing is to say that there is a constant of variation and it is the constant number of the equation, that is 26.2. And second to mention that it is the reason (or quantity, whether proportional or direct) for which the input data (i.e. x) and the output data (i.e. y) vary.

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Determine which numbers could not be used to represent the probability of an event. Select all that apply. A. StartFraction 64 O
vova2212 [387]

Answer:

A. \frac{64}{25} ​, because probability values cannot be greater than 1.

C. -1.5, because probability values cannot be less than 0.

Step-by-step explanation:

Probability is the extent to which an event is likely to happen. It ranges from 0(impossible) to 1(certain). Probability values can be written in decimal form or in fractional form.

The following numbers could not be used to represent the probability of an event.

A. \frac{64}{25} ​, because probability values cannot be greater than 1.

C. -1.5, because probability values cannot be less than 0.

6 0
3 years ago
The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
I need to know the volume of a rectangular prism 7/4cm,3cm,2cm
Nastasia [14]
Do you will need to know that for what.
5 0
3 years ago
Summer is approaching, so workers at the Lawrenceville Community Center are filling the pool. The volume of water in the pool x
Vanyuwa [196]

9514 1404 393

Answer:

  The pool is being filled

Step-by-step explanation:

The function definition tells you ...

  f(5) = the volume of water in the pool 5 minutes after they start

  f(10) = the volume of water in the pool 10 minutes after they start

So, the inequality ...

  f(5) < f(10)

means the volume of water in the pool 10 minutes after they start is greater than it is 5 minutes after they start. In short, <em>they are filling the pool</em>.

8 0
3 years ago
The value of x is -1/4. Order the expressions from least to greatest. Enter 1 for the least amount; 2 for the second least amoun
Natasha_Volkova [10]

Answer:

1/20 trust me

Step-by-step explanation:

pls

4 0
3 years ago
Read 2 more answers
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