Answer: 24 because you add 5 for every number ex: 9+5=14
Answer:
I understand why you are asking about this Ammaria, these type of questions take a lot of understanding of graphing. Please feel ok asking me questions :)
Step-by-step explanation:
we are given two points
P1 = (3,3) in the form (x1,y1)
P2 = (7,11) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (11-3) / (7-3)
m = 8 / 4
m = 2
now use the slope along with one of the given points, either one will work, i'll use P1 , and put that into the point-slope formula.
y-3 = 2(x-3)
y -3 = 2x -6
y = 2x -3
So with the above formula we can check to see if the points work by plugging them into the formula.
P3 = (5,8)
8 = 2(5) - 3
no point 3 does not work so it's not on the line
P4 = (13, 24)
24 = 2(13) - 3
no point 4 does not work either.
Answer:
- 3 lbs of $6 coffee
- 2 lbs of $4.50 coffee
Step-by-step explanation:
Let x represent the number of pounds of $6 coffee. Then the total cost of the mix is ...
6x + 4.50(5 -x) = 27
1.5x +22.50 = 27.00 . . . . . . simplify
1.5x = 4.50 . . . . . . . . . . . . . . subtract 22.50
x = 3 . . . . . . . . . . . . . . . . . . . .divide by 1.5; pounds of $6 coffee
5 -x = 2 . . . . . . . . . . . . . . . . . pounds of $4.50 coffee
3 pounds of $6 coffee and 2 pounds of $4.50 coffee were used in the mix.
Answer:
the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.
Step-by-step explanation:
The given information is:
- length of the hour hand, l = 6 inches
- length of the minute hand, b = 8 inches
Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:
s₁ = r θ
s₁ = (8)(π/2)
s₁ = 4π inches
The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.
Therefore, in 30 minutes the hour hand moves a distance of:
s₂ = r θ
s₂ = 6(30×1/2×π/180)
s₂ = π/2 inches
Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:
s₂ / s₁ = (π/2) / 4π
<em>s₂ / s₁ = 0.125</em>
