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Shalnov [3]
3 years ago
8

-9=x-41 Solve that using the opposite operation

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Answer:

x = 32

Step-by-step explanation:

-9 = x - 41

41 + (-9) = x -41 + 41

32 = x

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If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
Please help me do this problem! ‼️
blagie [28]
0 - 18 = -18

-18 + 9 = -9 ft
7 0
3 years ago
Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion doll
kramer
Since the manufacturing company is expected to have a lower output by 8.4%, the output in 2016 will only be 91.6%. Given also that their output in 2006 is 1.8 billion dollars, we multiply this value by the decimal equivalent of 91.6% to determine the answer. That is,
                          projected output in 2016 = ($1.8 B) x (0.916)
                                                                 = $1.6488 B
Thus, the expected output in 2016 is approximately $1.6488 B. 
4 0
3 years ago
the product of two whole numbers is 36 . what is the greatest possible sum that the number can have?​
ch4aika [34]

Whole numbers are positive numbers without decimals.  First, list all the whole number factors of 36:

1 and 36

2 and 18

3 and 12

4 and 9

6 and 6

Next, see which one of those pairs has the highest sum:

1+36=37

2+18=20

3+12=15

4+9=13

6+6=12

The greatest possible sum the numbers can have is 37.

Hope this helps!!

3 0
2 years ago
sally's $1800 savings is in two accounts.Her total interest for the year was $93 from one account earning 6% interest and anothe
myrzilka [38]

Answer:

$500 invested at 3%

$1300 invested at 6%


Step-by-step explanation:


8 0
3 years ago
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