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4vir4ik [10]
3 years ago
6

If the sum of a number and nine is doubled, the result is four less than the number. Find the number

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

- 22

Step-by-step explanation:

let the number be n then 2(n + 9) is the sum of the number and nine doubled, thus

2(n + 9) = n - 4 ← 4 less than the number

Distribute parenthesis

2n + 18 = n - 4 ( subtract n from both sides )

n + 18 = - 4 ( subtract 18 from both sides )

n = - 22

The number is - 22

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Answer:

450%

Step-by-step explanation:

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3 years ago
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The point (17,−9) is translated to the point (6,2). Select the description of the translation.
zubka84 [21]

Answer:

11 up , 11 left

Step-by-step explanation:

Given

(17, -9) to (6,2)

Required

Determine the translation rule

Considering the x coordinates.

From 17 to 6

6 is to the left of 17.

Using the translation rule:

x = x' + b

17 = 6 + b

17 - 6 = b

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b = 11

<em>Hence: From 17 to 6 is 11 units left translation</em>

Considering the y coordinates.

From -9 to 2

2 is at the top -9.

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Hence: From -9 to 2 is 11 units up translation

4 0
2 years ago
Subtract 15 and 4 , double the difference, and then add two-thirds
mrs_skeptik [129]
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3 0
3 years ago
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A researcher claims that the average annual salary of part-time community college instructors is at least $45,000. To test this
Doss [256]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The researcher claims :

" the average annual salary of part-time community college instructors is at least $45,000 "

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- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:

" the average annual salary of part-time community college instructors is less than $45,000 " :

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- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.

                     Lower tail - one sample - T-test.

6 0
2 years ago
A1=1 , an= 4a n-1 -1
Readme [11.4K]
<span>for part (a) find the sum of the first n terms of the arithmetic series. for part (b) find n for the given sum Sn.
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a. n=20
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a. n=40
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4 0
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