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dsp73
2 years ago
15

What is the mode of: 9.6, 2, 4.1, 8, 5.9, 2, 3.7, 6, 7.6? 7.6 5.4 5.9 2

Mathematics
1 answer:
OlgaM077 [116]2 years ago
6 0

Answer:

The answer is 2.

Step-by-step explanation:

Put the numbers in order, the one that appears most often is the mode.

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FASTTTTTTTTT PPPPPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZ
Deffense [45]

Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    30t + 24p = 492

________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

5 0
2 years ago
Read 2 more answers
The expression 3(x-9) is equivalent to <br><br> 3(x)+9<br> 3(x)+3(9)<br> 3(x)-9<br> 3(x)-3(9)
ollegr [7]

3(x-9)

 when you distribute the equation you get

3(x)-3(9) which is the last answer

6 0
3 years ago
Read 2 more answers
CALCULATE THE TOTAL SURFACE AREA OF A CONE OF RADIUS 21CM AND HEIGHT 10CM
viva [34]

Answer:

2919.9455657092 centimeters^2

Step-by-step explanation:

6 0
2 years ago
The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be
salantis [7]

Solving the system of equations, it is found that a viable time that the trains are side by side is given by:

B. 15 sec

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

y = 14t^2

y = 130t + 1200

They will be side by side when:

14t^2 = 130t + 1200

14t^2 - 130t - 1200 = 0

It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:

\Delta = (-130)^2 - 4(14)(-1200) = 84100

x_1 = \frac{130 + \sqrt{84100}}{28} = 15

x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71

Time is a non-negative measure, hence option B is correct.

More can be learned about a system of equations at brainly.com/question/24342899

5 0
2 years ago
Morgan won 7 blue ribbons and 4 red ribbons at her horse shows. What is the ratio of red ribbons to blue ribbons she won?
omeli [17]

Answer:

4:7

Step-by-step explanation:

6 0
2 years ago
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