Answer:
We can introduce a variable ( a letter representing an unknown ) to help us solve this question.
Let χ = "a number..."
We can rewrite the sentence in the following way:
7( χ + 2 ) = 8
To solve for χ , we can first distribute 7:
7 ∗ χ + 7∗(2) = 8
7χ + 14 = 8 ⇐ since 7 times 2 is 14
Let's get χ by itself first. We do so by subtracting 14 from both sides of the equation:
7χ + 14 - 14 = 8 - 14
7χ + 0 = -6 ⇐
7χ = -6 ⇐
The last number in our way is that 7. Let's divide both sides by 7 ( which is the same as multiplying both sides by 1 / 7 ) to figure out what χ is:
7χ ∗ ( 1 / 7 ) = -6 ∗ ( 1 / 7 )
χ ∗ ( 7 / 7 ) = - 6 / 7 ⇐
χ ∗ ( 1 ) = - 6 / 7 ⇐
χ = - 6 / 7
Therefore ( we can also use ∴ to represent the word "therefore" ) our number in question is -6 / 7
Step-by-step explanation:
Answer:
0.0723 cubic feet < 1 cubic foot.
Step-by-step explanation:
A cube-shaped salt lick is ordered by a rancher and the length of each salt lick is 
foot.
Therefore, the side length of each salt lick of cube-shape is foot.
So, the volume of each salt lick is 
cubic feet.
Hence, this volume is less than 1 cubic foot. (Answer)
Are you sure there is no bracket in the denominators (n-1)! if not then the answer is:
1) 2n + 12!/2n -1 ===> 2n + (479,001,600)/n -1 or (2n²-n+12!)/n
2) 4n+3!/2n +1! ====>4n +3/n +1
Answer:
24 > 17 1/2 > 6.9 > 2 > 1.45 > - 1/4 > - 5.1
Step-by-step explanation:
Given the following temperature values :
2, 6.9, 17 1/2 , −5.1, 24, − 1/4 , and 1.45.
Ordering the values above from greatest to least ; (descending order)
Expressing all temperature values in the same format :
Let's make sure all values are in decimal to make comparison easier :
2.0
6.9
17 1/2 = 35/2 = 17.5
-5.1
24.0
-1/4 = - 0.25
1.45
We begin from the temperature value which is highest :
24 > 17.5 > 6.9 > 2.0 > 1.45 > - 0.25 > - 5.1
Hence ;
24 > 17 1/2 > 6.9 > 2 > 1.45 > - 1/4 > - 5.1
Answer:
(x−5y)(9x+8)
Step-by-step explanation:
9x^2−45yx+8x−40y
Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.
9x(x−5y)+8(x−5y)
Factor out common term x−5y by using distributive property.
(x−5y)(9x+8)
