Answer:
15 early tickets were sold and 5 regular tickets were sold.
Step-by-step explanation:
Let x be the number of early bird tickets sold and y be the number of regular tickets sold.
Total number of tickets sold = 20
Thus, we can write the equation,
Cost of early bird ticket = $10
Cost of regular tickets = $15
Total cost = $225
Thus, we can write the equation,
We solve the equation by elimination method by multiplying first equation by 10 and subtracting.
Thus, 15 early tickets were sold and 5 regular tickets were sold.
Answer:
x-intercept is (13/3, 0)
y-intercept is (0,-13)
Step-by-step explanation:
change y+1 = 3(x-4) into slope-intercept form:
y+1 = 3x-12
y = 3x-13
y-intercept is (0,-13)
to get x-intercept, plug zero in for 'y' and solve for 'x':
0 = 3x-13
13 = 3x
13/3 = x
x-intercept is (13/3, 0)
Answer:
0.78814
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score = 4.0 inches
μ is the population mean = 4.4 inches
σ is the population standard deviation = 0.5 inches
z = 4.0 - 4.4/0.5
z = -0.8
Probability value from Z-Table:
P(x<4.0) = 0.21186
P(x>4.0) = 1 - P(x<4.0)
= 1 - 2.1186
= 0.78814
The probability that the rod you chose will be greater than 4.0 inches is 0.78814.
Answer:
x= 7
Step-by-step explanation:
1st step: Multiply the factor (outside number) with the numbers and variable(s) in the box. This results in 2(x-3) = 2x-6
2nd Step: continue the rest of the equation since there are no more brackets left so 2x-6-12=-4
3rd Step: send -12 to the other side of the equation (side changes sign changes) so it will become 2x-6=-4+12 (You are actually supposed to make the variable alone on one side of the equation so that you would be able to calculate its value)
4th step: 2x-6=8 ---> send -6 to the other side as well which will then result in 2x=14
5th step: since 2 is being multiplied by x, when you send it to the other side (to make x alone) you will divide 14 by 2 ( sign of 2 changes from multiplication to division)
Final Step: x=7
