Well to make 1/3 and 1/2 equivalent fractions you need to find a common denominator. So it would be 6. 1/3 now becomes 2/6 and 1/2 becomes 3/6. So she would need 1/6 more cup of vegetable oil.
Answer:
c
Step-by-step explanation:
Answer:
It will take Machine A 20 additional minutes.
Step-by-step explanation:
First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.
Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:
5/6 + 1/2x = 1
1/2x = 1/6
x = 1/3 hours = 20 minutes
Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.
Hope this helps! And let me know if you have any questions!
Answer:
The equation in the slope-intercept form will be:

Step-by-step explanation:
Given
As we know that the equation of a line in point-slope form is

substituting the values m = -5/4 and point = (8, -9)


Writing the equation in slope-intercept form

where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes

subtract 9 from both sides


Therefore, the equation in the slope-intercept form will be:

K= -3
3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6