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vredina [299]
3 years ago
6

6(x-6)+4=8(x+2)-4 The solution is

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0
6(x-6)+4=8(x+2)-4\\
6x-36+4=8x+16-4\\
2x=-44\\
x=-22
UkoKoshka [18]3 years ago
6 0
6(x-6)+4=8(x+2)-4

6(x-6)=8(x+2)-4-4

6(x-6)=8(x+2)-8

6x-36=8[(x+2)-1]

6x-36=8[x+2-1]

6x-36=8(x+1)

6x-36=8x+8

8x-6x=-36-8

2x=-44

Therefore, x=-22, as 2(-22)=-44.
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1.How many combinations are possible from the letters HOLIDAY if the letters are taken?
Lesechka [4]

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

Exercise 1, item a:

One letter from a set of 7, hence:

C_{7,1} = \frac{7!}{1!6!} = 7

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

C_{7,2} = \frac{7!}{2!5!} = 21

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

C_{7,7} = \frac{7!}{0!7!} = 1

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

6 0
2 years ago
Can someone solve Pythagorean theorem​
Ad libitum [116K]

Answer:

48 units

b= 48 units

Step-by-step explanation:

pythag is a^2+b^2=c^2

we have a and c

so substitute them in

14^2+b^2=50^2

now you can solve

196+b^2=2500

subtract 196 from both sides

b^2=2500-196

subtract

2500 - 196 = 2304

b^2=2304

solve for the square root

square root of 2304= 48

therefore b= 48 units

5 0
3 years ago
Find three solutions of the equation y = 7x – 5.
soldi70 [24.7K]
 y=7x-5 This is the same as saying y-7x = -5 Well easy. You just make up numbers that make this work. Let x be 1 y-7=-5 y=-5+7 y=2 So one ordered pair is (1,2) Let x=2 y-14=-5 y=9 So another ordered pair is (2,9) Let x=3 y-21=-5 y=-5+21 y=16 So another ordered pair is (3,16) 
hope it helps
5 0
3 years ago
Write the value of 4 in 305,444
BigorU [14]
Divide 305444 by 4

305444 / 4
76361

so
76361 times 4 is equal to 76361
3 0
3 years ago
Read 2 more answers
A circle is divided into three arcs of measures x 2x and 3x what’s the value of x
lidiya [134]

Answer:

60°

Step-by-step explanation:

This questions tests our knowledge on arcs and arc measures.

-Arc measure is the angle that an arc makes with the circle's center.

-The arc measure is proportional to the arc.

#The sum of the 3 arcs is x+2x+3x=6x

Given a circle has 360°, the arc measurement x can be calculated as:

[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree

Hence, the arc measurement x is 60°

8 0
3 years ago
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