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3 years ago

Which value of x would make NO || Kj?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

Answer:

$x = 8$

Step-by-step explanation:

Given

The attached figure

Required

Find x

To find x, we make use of the following equivalent ratios:

$LN : LO = NK:OJ$

This gives:

$(x-3) : (x - 4) = (x +2) : (x)$

Convert to fractions

$\frac{x-3}{x-4} = \frac{x+2}{x}$

Cross Multiply

$x(x-3) = (x-4)(x+2)$

Open brackets

$x^2-3x = x^2 -4x +2x - 8$

Collect Like Terms

$x^2 - x^2-3x +4x -2x =- 8$

$-3x +4x -2x =- 8$

$-1x =- 8$

$-x =- 8$

Multiply through by -1

$-1 * -x =- 8*-1$

$x = 8$

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there are 3 liters of apple juice at a school party. 10 students want to drink all the apple juice, Andi all want to get exactly

pochemuha

Answer:

0.3 L

Step-by-step explanation:

3 L / 10 students = 3/10 = 0.3 Liters per student

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3 years ago

How many 5-member chess teams can be chosen from 15 interested players? Consider only the members selected, not their board posi

ryzh [129]

<u>Answer</u>:

3003 number of 5-member chess teams can be chosen from 15 interested players.

<u>Step-by-step explanation:</u>

Given:

Number of the interested players = 15

To Find:

Number of 5-member chess teams that can be chosen = ?

Solution:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula $nCr = \frac{n!}{r!(n - r)!}$

where

n represents the total number of items,

r represents the number of items being chosen at a time.

Now we have n = 15 and r = 5

Substituting the values,

$15C_5 = \frac{15!}{5!(15- 5)!}$

$15C_5 = \frac{15!}{5!(10)!}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{5 \times 4 \times 3 \times 2 \times 1(10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11}{(5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{360360}{120}$

$15C_5 = 3003$

7 0

3 years ago

Is that correct? Algebra 2

Ratling [72]

Yes I'm supposed to explain this on 20 chaaracters so hopefully this is enough

6 0

4 years ago

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original numbe

Oksanka [162]

Answer:

original number = 53

Step-by-step explanation:

In two digits number:

Let the tens place digit be x and units place digit be y.

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8.... (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2.......(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

2x = 10

x = 10/2

x = 5

Plug x = 5 in equation (1), we find:

5 + y = 8

y = 8 - 5

y = 3

10x + y = 10*5 +3 = 50 + 3 = 53

Hence, original number = 53

7 0

3 years ago

how can you decide if finding common multiples and common factors is helpful in solving a problem?explain.

blondinia [14]

You can evaluate all numbers and in the prosses, make any problem easier.

7 0

4 years ago