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oksano4ka [1.4K]
2 years ago
13

Describe three different substitutuion method

Mathematics
1 answer:
ankoles [38]2 years ago
7 0

elimanation  variations matrix

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The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute di
Ber [7]

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults

7 0
2 years ago
Ms mitchell buys a new pair of boots that originally cost $65.00 but now are on sale for 15% off what is the sales price of the
Soloha48 [4]
The sale price would be $55.25.
4 0
2 years ago
Read 2 more answers
The value of 2 in 2481 is blank times the value of 2 in 5072
kotegsom [21]
The value of 2 in 2481 is 1000 less times the value of 2 in 5072
4 0
3 years ago
3. Judy took a taxi. The meter said $45. She tips the driver 15%. How much money does the the driver get in tips?
Anettt [7]

Answer:

6.75$

Step-by-step explanation:

because 15% of 45$ is 6.75$

7 0
2 years ago
The government taxes a manufacturer $0.20 for a bottle of soda. The manufacturer raises the wholesale price an additional $0.60
alukav5142 [94]

Answer: $0.95

Step-by-step explanation:

Hi, to answer this question we simply have to add all amounts raised by the government, the manufacturer, and the retailer.

Mathematically speaking:

$0.20+$0.60+$0.15 = $0.95

So, a consumer pays $0.95 more per bottle of soda.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
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