Answer:
4.2 is your answer rounded to the nearest tenth.
Step-by-step explanation:
8/17 is equal to 0.470588235294.
In order to make an equivalent fraction with 9 as the denominator, divide 9 by 17 to get 0.529411764705.
Then, multiply 0.529411764705 by 8 to get 4.235294117647.
4.235294117647 is our <em>u</em><em>.</em>
Simplified to the nearest tenth it is 4.2.
we can double check our answer by taking 4.235294117647 divided by 9. You should get 0.470588235294.
Hope this helps!
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
Process efficiency is a measure of the ratio of process outputs to inputs.
The answer is: " 19 " .
_____________________
Explanation:
To solve:
_____________________
Given:
" 4² + 6 ÷ 2 " ;
We solve using "PE MD AS" (mnemonic device for order of operations in order of consideration); which stands for:
"Please Excuse My Dear Aunt Sally (or Aunt Susan)" ;
Alternately: "BE MD AS"
" Be Excused My Dear Aunt Sally (or Aunt Susan)" .
"Parentheses {alternative version: "Brackets" ; in which "Parentheses can be considered "Brackets" ; yet in reality, Brackets would come before Parentheses}, then Exponents, then "Multiplication then Division (from left to right as they occur in the problem) , then "Addition then Subtraction (from left to right as they occur in the problem) .
_____________________
As such:
Given: " 4² + 6 ÷ 2 " , we have:
"exponents", "addition" and "division" ;
So we can rewrite the problem as:
" (4²) + (6 ÷ 2) =
(4 * 4) + (3) =
(16) + (3) = 19 .
_______________________
The answer is: " 19 " .
_____________________
