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olasank [31]
3 years ago
5

Use substitution to show that 9+ 6(10-7x) is equivalent to 69-42x.

Mathematics
2 answers:
larisa86 [58]3 years ago
6 0

Answer: 9 + 6(10- 7x) = 69 - 42x

Step-by-step explanation:

9 + 6(10- 7x)

we open the bracket first

9 + 60 - 42x

69 - 42x

Therefore the two equations are equivalent

we can also check by substituting a number, lets say x = 1

9 + 6[10 - 7(1)] = 69 - 42(1)

9 + 18 = 69 - 42

27 = 27

OverLord2011 [107]3 years ago
5 0
9 + 60 -42x
9+60 = 69
= 69- 42x
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Select ALL the correct answers.
Marina CMI [18]

Answer:

The median of A is the same as the median of B.

The interquartile range of B is greater than the interquartile range of A.

Step-by-step explanation:

Given that:

A = number of runs allowed in first 9 games

A = {1, 4, 2, 2, 3, 1, 1, 2, 1}

Rearranging A : 1, 1, 1, 1, 2, 2, 2, 3, 4

Median A = 1/2(n + 1) th term

Median A = 1/2(10) = 5th term = 2

Q1 of A = 1/4(10) = 2.5th term = (1 + 1)/ 2 = 1

Q3 of A = 3/4(10) = 7.5th term = (2+3)/2 = 2.5

Interquartile range = Q3 - Q1 = 2.5 - 1 = 1.5

Number of runs allowed in 10th game = 9

B = {1, 4, 2, 2, 3, 1, 1, 2, 1, 9}

Rearranging B = 1, 1, 1, 1, 2, 2, 2, 3, 4, 9

Median A = 1/2(n + 1) th term

Median A = 1/2(11) = 5.5th term = (2+2)/2 = 2

Q1 of A = 1/4(11) = 2.75th tetm = (1 + 1)/ 2 = 1

Q3 of A = 3/4(11) = 8.25th term = (3+4)/2 = 3.5

Interquartile range = Q3 - Q1 = 3.5 - 1 = 2.5

Median A = 2 ; median B = 2

IQR B = 2.5 ; IQR A = 1.5 ; IQR B > IQR A

7 0
2 years ago
Need help in number 20. Thanks for helping
telo118 [61]

Answer:

It is F

Step-by-step explanation:

if you plug in the y and x values that should get you the answer

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3 years ago
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To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying a $1 for each five-number s
defon

There are 45 numbers out of which 5 numbers are required to win an enormous sum of money

No of ways  in which 5 numbers can be selected out of 45 numbers.

C_{45}^5=\frac{45!}{40!5!} =1221759

out of which there is only combination foe contest winning

P=\frac{1}{1221759}

When 100 different tickets are bought then

Probability of winning: \frac{100}{1221759}

Probably of winning≈0,000082

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

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Josh's sit had 20,313 more visitors than Diego's.

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How many $0.12 pencils can I buy with $4.80?
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