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dybincka [34]
3 years ago
13

At a benefit​ concert, fifteen bands have volunteered to perform but there is only enough time for five of the bands to play. Ho

w many lineups are​ possible?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

360,360

Step-by-step explanation:

So we only have 5 spots, but 15 bands to fill those spots.

For the first spot, we can choose from any of the 15 bands, so we have 15 choices.

For the second spot, we can choose from the 14 remaining bands (because we already chose one for the first spot), so we have 14 choices.

For the third spot, by similar reasoning as above, we have 13 choices; for the fourth spot, 12 choices; and for the last spot, we have 11 choices.

We realize that for each of the 15 possible bands in the first spot, we still have 14 possible bands for the second spot, and so on. Thus, we know to multiply instead of add.

Our answer is: 15 * 14 * 13 * 12 * 11 = 360,360

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Pete has 3 dollars less than what Linda has. If together has 81 dollars how much does each person have?
Makovka662 [10]

Answer:

Pete: 39, Linda: 42

Step-by-step explanation:

Suppose Pete has x dollars. If he has 3 dollars less than Linda, then Linda has 3+x dollars. Together, they have 81 dollars:

x+3+x=81

2x+3=81

2x=78

x=39

Since Pete has x dollars, and x=39, he has $39.

Linda has 3+x, which is 39+3 = $42

<em>I hope this helps! :)</em>

8 0
3 years ago
Paul borrowed $360 to be repaid in one year. He paid 10% interest and a service
Art [367]

Answer:

Step-by-step explanation:

Hey, do you mean what is the final charge? If so, then look at my next steps

If you mean the final charge then first multiply 10% by 360 , basically 10/100 multiplied by $360 which is equals to $36. Since it is interest, add $36 to $360. The answer will be $396. Then you add on the $19 which would bring the total to $415.

Hehe I am no expert but this is what I did . Tried my best

4 0
3 years ago
Help me please TY WHOEVER HELPS​
Natali [406]

Answer:

picture too bad sorry

Step-by-step explanation:

8 0
3 years ago
MUST HELP!!!! (25 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
MrMuchimi

Answer:

Enlargement Areas

Step-by-step explanation:

if you enlarge the little one, they will intersect each other perfectly because those triangles are similar and the same. they are just different sizes

hope this helps!

3 0
3 years ago
A rectangular garden is extended 4% on the long sides and 8% on the short sides. To the nearest hundredth of a percent, by what
liq [111]

Answer: 12.32%

Step-by-step explanation:

1. x is the original long side and y is the original short side.

2. The area of the original rectangle is xy.

3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

\frac{104}{100}x=\frac{26}{25}x

4. And the new short side is:

\frac{108}{100}y=\frac{27}{25}y

5. The new area is:

(\frac{26}{25}x)(\frac{27}{25}y)=\frac{702}{625}xy

6. The percentage of increase is calculated by substracting the new area and the original area:

\frac{702}{625}xy-xy=0.1232xy

7. The result is:

(0.1232)(100)=12.32%

3 0
3 years ago
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