NPr = n! / (n-r)!
8P4 = 8! / (8-4)!
= 8! / 4!
= 1,680
Answer:
x = 7
Step-by-step explanation:
A triangle's total interior angle measurement will equal 180°.
Set all measurements equal to 180:
(82) + (9x - 6) + (6x - 1) = 180
Simplify. Combine like terms:
(82 - 6 - 1) + (9x + 6x) = 180
(82 - 7) + (15x) = 180
(75) + 15x = 180
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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First, Subtract 75 from both sides of the equation:
15x + 75 = 180
15x + 75 (-75) = 180 (-75)
15x = 180 - 75
15x = 105
Next, divide 15 from both sides of the equation:
(15x)/15 = (105)/15
x = 105/15
x = 7
7 is your value for x.
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Answer:
To answer this item, we add up all the scores and divide the sum by the total number of quizzes.
0: 0 quizzes
1 : 1 quiz total : 1
2: 3 quizzes total : 6
3: 4 quizzes total : 12
4: 4 quizzes total : 16
5: 1 quiz total : 1
There are 13 quizzes and the total score is 36. Dividing the total score by the total number of quizzes will give us a final answer of 2.77.
Step-by-step explanation:
The correct answer is y = 11
because:
2y + 7 = 3y − 4
−y + 7 =−4
Subtract 7 from both sides.
−y + 7 − 7 = − 4 − 7
−y = −11
Divide both sides by -1.
y = 11
