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Rainbow [258]
3 years ago
9

For a segment of a radio show, a disc jockey can play 10 records. there are 14 records to select from, in how many ways can the

program for this segment be arranged?
Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
The formula of combination is 

nCr= \frac{n!}{(n-r)!r!}

We have n=14 and r=10

14C10= \frac{14!}{(14-10)!10!} = 1001

Hence, there are 1001 ways of arranging 10 records from 14 records 
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Hector has $590 in his account. He earned $15 per hour for x hours. Jeremy has $545 in his account. He earned $20 per hour for x
Nutka1998 [239]

Answer:

equation = 590 + 15x = 545 + 20x

No. of hours worked = 9

Step-by-step explanation:

Given that both worked for same number of hours

and

Jeremy worked for for x hours

it meant that Hector also worked for x hours(it is also mentioned same in the problem)

now that we know the number of hours worked in form of x

lets find

total money in their account if they worked for x hours

___________________________________________

For Hector

Money in Hector's account = $590

Earning for Hector in 1 hour = $15

Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x

Total money in with Hector after x hours of work

 = Money in Hector's account + Earning for Hector in x hour = $590 + $15x

Similarly

For Jeremy

Money in Jeremys account = $545

Earning for Jeremy in 1 hour = $20

Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x

Total money in with Jeremy after x hours of work

 = Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x

Given that they same amount of money

thus

$590 + $15x = $545 + $20x

$sign gets cancelled from both sides

590 + 15x = 545 + 20x  Thus, we got the required equation  

=> 590 - 545 = 20x - 15x

=> 45 = 5x

=> x = 45/5 = 9

Thus, both of them worked for 9 hours

6 0
3 years ago
What is the product of a+3 and −2a2+15a+6b2?
Lady bird [3.3K]

Answer:

c. 2a3+9a2+45a+6ab2+18b2

Step-by-step explanation:

(a+3) + (−2a2+15a+6b2)

Using distributed p. with and a and 3

a(−2a2) + a(15a) +a(6b2)        and       3(−2a2) + 3(15a) + 3(6b2)

= -−2a3 + 15a2 + 6ab2                          = -6a2 + 45a + 18b2

Now add like terms and put in standard form.

15a2+(-6a2) = 9a2  

And equals

-2a3 + 9a2+45a+6ab2+18b2

Trust me I took the test and got 100%

Your welcome,

7 0
3 years ago
Read 2 more answers
Solve pls brainliest
gizmo_the_mogwai [7]

Answer:

5/6

Step-by-step explanation:

11/12 - 1/12 = 10/12

10 divided by 2 = 5
12 divided by 2 = 6

5/6

8 0
2 years ago
Read 2 more answers
If you plant 48 tulips in 12 minutes how many tulips did you plant per minute
8090 [49]
The answer is 8 because in a minute there is 60 seconds so you divide 48 by 60 and it gives you 8
8 0
3 years ago
Simplify the expression 9 x (2 x 4)2 =
Travka [436]
Answer is.. 144.

2 x 4 = 8

9 x 8 = 72

72 x 2 = 144
3 0
3 years ago
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