Answer:
Kevin will earn the money before than Philip
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
Let's call x to the number of weeks
Philip works 6 hours each weekend, which means 6 hours per week, earning $8.75 per hour, which is equivalent to 6*8.75 = $52.5 per week
Philip has already saved $45. Then he needs the next number of weeks:
52.5*x + 45 = 225
x = (225 - 45)/52.5
x = 3.4
Philip needs at least 4 weeks
Kevin works 3 hours per day for 3 days a week, which means 9 hours per week, earning $7.5 per hour, which is equivalent to 9*7.5 = $67.5 per week
Kevin has already saved $30. Then he needs the next number of weeks:
67.5*x + 30 = 225
x = (225 - 30)/67.5
x = 2.9
Kevin needs at least 3 weeks
Answer:
B. (x+2) is a factor
Step-by-step explanation:
3x^2 -x-14
3x^2+6x-7x-14
3x(x+2)-7(x+2)
(3x-7)(x+2)
so, x+2 is a factor of 3x^2-x-14
There would be 1/8 of the pie left,
you have to add 3/4 and 1/8 to find the total eaten and then subtract it by 8/8 (the total) which would give you your answer.
Hope it helps
Answer:
The answers in order are:
slope-intercept form
slope of a line
y-intercept
Step-by-step explanation:
These are the definitions of the terms.
y=mx+b is called slope-intercept form because it contains the slope (m) and y-intercept (b)
slope of a line is change in y over change in x (steepness) which is m
y-intercept is point line intercepts y-axis and is b
Answer:
P(B)= 17/20
Step-by-step explanation:
The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.
Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.
If a random member of the audience is selected as a volunteer:
Let "A" represent the event that "the selected volunteer is a student of the class"
And "B" the event that "the selected student is female"
You have to calculate the probability of the selected volunteer being female, given that it is a member of the school class.
Symbolically:
P(B|A)
Using the formula of conditional probabilities you can calculate it as:
P(A∩B)= =
As you can see the probability of the event "The volunteer is female given that it was a student of the school class" means that you already know the selected volunteer was a student and only needed to calculate the probability of that student being female.
P(B)= 17/20
I hope this helps