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2 years ago

Jaime had ten posters, but only five could fit on his closet door. how many

Mathematics

1 answer:

sukhopar [10]2 years ago

5 0

There are 30240 different ways can he arrange the five posters out of the ten on his closet door

<h3>How to determine the number of arrangements?</h3>

The given parameters are:

Total, n = 10
Posters to arrange, r = 5

The number of ways is calculated as:

Ways = $^nP_r$

This gives

Ways = $^{10}P_5$

Apply the permutation formula

Ways = 30240

Hence, there are 30240 different ways can he arrange the five posters out of the ten on his closet door

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Im pretty sure its -9.

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Vlad1618 [11]

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GuDViN [60]

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

Given system of equations:

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

Step 1: Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

Step 2: Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

Step 3: Solve for y.

Substitute the found x-values into one of the given equations.

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

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2 years ago

What is the percent of decrease from 110 to 77

Charra [1.4K]

If you want to easily find the solution you can use your calculator.
Just divide 77 by 110 and see the result.
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Explanation
110*x=77
x=77/110, but the answer is not a percent
So 77/110 = ?/100 => ?=77*100/110=70 => 70%
But since 70% does not represent a percentage decreasement, we need to subtract it from the 100%
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