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3 years ago

How many different 9-letter words (real or imaginary) can be formed from the letters in the word ECONOMICS?

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

8 0

The answer would be 90,720

Neporo4naja [7]3 years ago

6 0

It would be: ⁹P₈ = 9! (9-8)! = 9!/1! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 = 3,62,880

In short, Your Answer would be 3,62,880

Hope this helps!

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A jar is filled with only dimes and quarters. The jar contains a total of 60 coins and the value of the jar is $11.25. How many

inessss [21]

Answer:

35 quarters

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

$d+q=60$ is an equation representing the total number of coins
$0.10d+0.25q=11.25$ is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get $d=60-q$ . We now substitute this for d in the second equation.

$0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25$

After simplifying, we subtract 6 across and divide by the coefficient of q.

$6+0.15q=11.25\\0.15q=5.25\\q=35$

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

3 0

3 years ago

HELP?

poizon [28]

My "work" is to enter the equations into a graphing calculator and let it show me the answers--just as your "work" is to copy the question to Brainly.

The solutions are
(x, y) = (-0.5, 7.5)
(x, y) = (3, 25)

_____
When you equate the expressions for y, you get the quadratic
2x² -5x -3 = 0
(2x +1)(x -3) = 0
x = -1/2 or 3
y = 5(x +2) = 15/2 or 25

4 0

3 years ago

A bag of skittles candy was found to have 15% of the candies to be red, 15% were orange, 10% yellow and 20% green. The rest were

harkovskaia [24]

It is a very low probability because forty percent is purple

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3 years ago

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

mars1129 [50]

The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$
a1=1
r=2
we want to find $S_{10}$ (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

$S_{10}=\frac{1(1-2^{10})}{1-2}$
$S_{10}=\frac{(1-1024}{-1}$
$S_{10}=\frac{(-1023}{-1}$
$S_{10}=1023$

3 0

3 years ago

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