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il63 [147K]
4 years ago
7

I need help with this problem: A 12-member committee is going to choose a chairman, vice-chairman, and secretary. In how many wa

ys can these people be chosen? A. 36 ways B. 1320 ways C. 1728 ways D. 79,833,600 ways
Mathematics
1 answer:
Ilia_Sergeevich [38]4 years ago
5 0
So 12 members
they have 3 slots
assuming they choose from the group of 12 members
12 choices for the first slot
2nd slot: 1 is taken so 12-1=11 choices for the second
3rd slot: 2 are taken so 12-2=10 choices for te 3rd

answer is 12 times 11 times 10=1320=B

the answer is B
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Carson needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fe
Naily [24]

Answer:

The y-intercept of the equation is 100 and represents the initial studio-use fee.

Step-by-step explanation:

In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.

Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.

P = 50(0) + 100

P = 100

Therefore the y-intercept is 100.

In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.

Hope this helped!

5 0
3 years ago
47% of $118 estimated
bezimeni [28]
1. We assume, that the number 118 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 118 is 100%, so we can write it down as 118=100%. </span>
<span>4. We know, that x is 47% of the output value, so we can write it down as x=47%. </span>
5. Now we have two simple equations:
1) 118=100%
2) x=47%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
118/x=100%/47%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 47% of 118

118/x=100/47
<span>(118/x)*x=(100/47)*x       - </span>we multiply both sides of the equation by x
<span>118=2.12765957447*x       - </span>we divide both sides of the equation by (2.12765957447) to get x
<span>118/2.12765957447=x </span>
<span>55.46=x </span>
x=55.46

<span>now we have: </span>
<span>47% of 118=55.46</span>
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