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2 years ago

5

A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. Ho

w many kilograms of apples did she sell at the farmer's market?

1 answer:

jeka942 years ago

3 0

Answer:

Step-by-step explanation:

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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

<em>Pressing one button</em>
<em>Pressing a pair of buttons</em>

<em />

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

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2 years ago

Find the value of x. Then find the measure of each labeled angle.<br> (9x - 10)<br> (5x + 38)

omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

both angles are = 98

Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

4x - 10 = 38

(add 10 to both sides)

4x = 38+10

4x=48

(divide by 4)

x=48/4

= 12

substitute into the equations:

(9*12)-10

(5*12)+38

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The triangles are congruent. Write the<br><br>congruence statement (LT#4)

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Answer:

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Step-by-step explanation:

Look at the angle markings. Angle C has one mark, Angles E and S have two marks, and Angles D and R have three marks.

Therefore, these angles correspond with one another and determine the order of the letters.

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Is (1, 4) a solution to this system of equations? 3x + y = 7

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