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Andrews [41]
3 years ago
9

£140 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as Ju

ne. How much does Angad get?
Mathematics
1 answer:
kramer3 years ago
4 0

Answer:

84

Step-by-step explanation:

Let's say Nick gets amount N, Angad amount A, and June amount J.

Here's what we know:

A+N+J=140

A=2*N

N=3*J.

Let's plug these values in.

N=3*J, so A+N+J=140 can now be A+3*J+J=140.

A=2*N, and N=3*J, so A=2*3*J=6*J. Then, A+3*J+J=140 is now 6*J+3*J+J=140, so 10*J=140 and J=14. N = 3*J=42 and A=2*N=84. Checking this, 14+42+84=140, so we are good to go!

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Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
Airida [17]

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425

The manager can select a team in 61425 ways.

7 0
2 years ago
The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House
irakobra [83]
So here's the solution to the problem:

Calculate the average sell:

1,700 * $25 = $42,500 (revenue)

And if the Opera House wants to increase their revenue:

The price of a ticket will be:

$25 - x (where x is the number of 1-dollar decreases)

The number of tickets in total:

1,700 + 200x

Therefore the equation is:

(1,700 +200x) * ( 25 - x ) = 55,000

We can also solve this equation, but the solutions are not whole numbers.

x 1 = 5.89 and x 2 =10.6

For x = 6 (6 times 1 - dollar decreases):

( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18

=2,900 *19 = 55,100 (we will yield the revenue over $55,000)
3 0
3 years ago
Socket set for $36.00 with 40% off plus 8.25 % sales tax. How much do I owe?
OlgaM077 [116]

whatever% of anything is just (whatever/100) * anything.


so the socket set has a 40% off, what is 40% of 36?  well, is just (40/100) * 36, or 14.4, that's the discount, so the sale price is 36 - 14.4, or 21.6.


plus the 8.25% taxation, what is 8.25% of 21.6?  well, is just (8.25/100) * 21.6, or 1.782.

so the total price is 21.6 + 1.782, or 23.382, or about 23 bucks and 38 cents.

3 0
3 years ago
Read 2 more answers
If f(x) and its inverse function, f^-1(x), are both plotted on the same coordinate plane, what is their point of intersection?
Romashka-Z-Leto [24]

Answer:

(a, a)

Step-by-step explanation:

actually there are two cases, don't have intersection and have. if have intersection, then they intersect at line y = x or point (a, a) by definition of inverse function.

8 0
3 years ago
Read 2 more answers
Pls help<br><br> Multiply. write the result in scientific notation<br><br> (1.7*10^-4)(5*10^-5)
kramer
Do the exponents first. 10 to the -4 is 1/10000 or 0.0001 and 10^ -5 is 0.00001. You end up with (1.7*0.0001)(5*0.00001) which is 0.00017*0.00005 which is 0.0000000085 or 0.085*10^-8
5 0
2 years ago
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