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Mars2501 [29]
3 years ago
12

If a group if distinct objects can be arranged in 120 different ways, how many onjects are there?​

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

60

Step-by-step explanation:

120/2

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the directions are : find the constant of proportionality for the graph and write in the form y = kx.n​​
Lelechka [254]

here is the answer (A) y=1/5 x

5 0
2 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Here are five number cards. 2 5 7 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6.
Lubov Fominskaja [6]

Answer:

Card 7

Step-by-step explanation:

2+5+7+8+9 =31

Multiples of 6: 6, 12, 18, 24, 30

31-9=22, No

31-8=23, No

31-5=26, No

31-2=29, No

31-7=24, Yes

The only way to get a multiple of 6 is to subtract card 7, so card 7 is the answer.

7 0
3 years ago
.
tankabanditka [31]
The function is continuous
7 0
3 years ago
If a rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM
Rus_ich [418]
12.5 feet is the answer.


8 0
3 years ago
Read 2 more answers
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