To solve this we need to use this formula:
a(b+c)=ab+ac
5(7+3x)-12=35+15x-12=15x+23
Answer:
Simplifying
3x + 77 = 4x + 54
Reorder the terms:
77 + 3x = 4x + 54
Reorder the terms:
77 + 3x = 54 + 4x
Solving
77 + 3x = 54 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
77 + 3x + -4x = 54 + 4x + -4x
Combine like terms: 3x + -4x = -1x
77 + -1x = 54 + 4x + -4x
Combine like terms: 4x + -4x = 0
77 + -1x = 54 + 0
77 + -1x = 54
Add '-77' to each side of the equation.
77 + -77 + -1x = 54 + -77
Combine like terms: 77 + -77 = 0
0 + -1x = 54 + -77
-1x = 54 + -77
Combine like terms: 54 + -77 = -23
-1x = -23
Divide each side by '-1'.
x = 23
Simplifying
x = 23
Step-by-step explanation:
I hope its helps
Answer: The least score she can get on her next test is 455 points.
Step-by-step explanation: From the available information, her current mean score is 88%, and that was achieved from a total of 5 tests. Hence, her mean score was computed as follows;
Mean = (Summation of data)/observed data
Where the observed data is 5 and the mean is 88. Therefore the mean can now be expressed as,
88 = Summation of data/5
By cross multiplication we now have
88 x 5 = Summation of data
440 = Summation of data.
So, if she wants to raise her mean score on her next test to 91%, her least possible score would be derived as
91 = (Summation of data)/5
By cross multiplication we now have
91 x5 = Summation of data
455 = Summation of data
Therefore, on her next test, she must score at least 455 points.
Solution -
We have 6 males and 6 females. And in each group we have to choose one male and a female
For the first group we have (6,6) options, after choosing one pair we have (5,5) options, then (4,4) options, then (3,3) options, then (2,2) options, then (1,1) options.
So the first has 36 possibilities, 6 possible males, 6 possible females. 6 times 6 is 36.
After picking up one male and female, we have 5 males and 5 females, 25 possibilities and so on.
Total we have 36×25×16×4×1 = 57600.
