Answer:
1 4/7
Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)
Keep doing that until you can't find a number that works.
In this case try 5.
55 ÷ 5 = 11 and 35 ÷ 5 = 7
so: 55/35 = 11/7
since the top number is greater than the bottom, reduce 11/7 to 1 4/7
E) 2
Remember that the first derivative of a function is the slope of the function at any specified point. We've been told that f(0) = -5 and that f'(x) is always less than or equal to 3. So let's look at the available options and see what the average slope would have to be in order to get the specified value of f(2).
A) -10: (-10 - -5)/(2 - 0) = -5/2 = -2.5
B) -5: (-5 - -5)/(2 - 0) = 0/2 = 0
C) 0: (0 - -5)/(2 - 0) = 5/2 = 2.5
D) 1: (1 - -5)/(2 - 0) = 6/2 = 3
E) 2: (2 - -5)/(2 - 0) = 7/2 = 3.5
Now taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values. For options A, B, C, and D it's possible for f'(x) to return values that make that slope possible. However, for option E, the mean value theorem indicates that f'(x) has to have the value of 3.5 for at least 1 point between x=0 and x=2. And since we've been told that f'(x) is less than or equal to 3 for all possible values of x, that is in conflict and f(2) can not have the value of 2.
Since the ratio of red drops to yellow drops is 55:88 and you have 1515 red drops, the yellow drops needed is given as
If 55=1515
88=?
88/55*1515=2424
therefore 2424 drops of yellow will be needed to make a shade of orange
Answer:
b
Step-by-step explanation:
Remember that the angles of a triangle is 180 so:
(7x+8) + (5x+2) + (7x-1) = 180
7x+8+5x+2+7x-1=180
7x+5x+7x=180-8-2+1
19x=171
X= 171/19
X=9
Therefore x=9
