Answer:
-6/7
Step-by-step explanation:
-14+12+9z-16z=0
-6-7z=0
Add 7z to both sides
-6=7z
Divide both sides by 7
z=-6/7
Therefore the value for z is -6/7
87,602 in expanded form is 80,000+7,000+600+2
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [-5 ± √(25 - (-40) ) ] / ( -4 )
x = [-5 ± √(65) ] / ( -4)
x = [-5 ± sqrt(65) ] / ( -4 )
x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2
Answer:
60
Step-by-step explanation:
Divide the number of questions answered correctly by his percentage
51 / 85 = 0.6
Now multiply that answer by 100 to see how many questions are on the quiz
0.6 x 100 = 60
Check your work by dividing that number by the number he answered correctly
51 / 60 = 0.85
