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saul85 [17]
2 years ago
5

There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being

the last​ stand-up comic of the evening. If this​ performer's request is​ granted, how many different ways are there to schedule the​ appearances?
Mathematics
1 answer:
artcher [175]2 years ago
7 0
Since there are 8 but the last comedian will always perform last the amount of comedians you have to take into account in 7. To calculate the amount of combinations use 7! which is 5040. So there are 5040 different ways the comedians could be scheduled.
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2 years ago
3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation​
Darya [45]

Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11       (Note the inequality flips as we are dividing by a negative value).

6 0
2 years ago
You are using 0.05 gallons per mile of a SUV gas tank that holds 16 gallons. y = - 0.05x + 16. (Or, if you wish you may use
asambeis [7]
Here, we just use the following x values and put them into the equation.

y = - 0.05x + 16
y = -0.5(0) + 16
y = 16

y = - 0.05x + 16
y = -0.5(160) + 16
y = -80 + 16
y = -64

y = - 0.05x + 16
y = -0.5(320) + 16
y = - 160 + 16
y = -144

Now, to set up the table, you could list the x values and the y values. 

x values :- 0,160, 320
y values:- 16, -64, -144


6 0
2 years ago
Read 2 more answers
If you were to roll the dice one time what is the probability it will NOT land on a 2? Put your answer in fraction form.
OLEGan [10]

Answer:

5/6

Step-by-step explanation:

On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).

Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.

I hope this helps.

8 0
3 years ago
Read 2 more answers
Simplify
Blababa [14]
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .<span>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 30/5 = 6.Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 30/-3 = -10.Slope is -5/-3 = 1.66666666666667.<span> Equation in slope-intercept form: y=1.66666666666667*x+-10.</span></span>
6 0
3 years ago
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