Answer:
89:120
Step-by-step explanation:
convert the both times to minutes
2 hours is 120 mins
89:120
both divisible by 1
89:120
it cant be simplified further
Answer:
Log₆ (A⁵C² / D⁶) = –13
Step-by-step explanation:
From the question given above,
Log₆ A = 1
Log₆ C = 3
Log₆ D = 4
Log₆ (A⁵C² / D⁶) =?
Recall:
Log MN / U = Log M + Log N – Log U
Therefore,
Log₆ (A⁵C² / D⁶) = Log₆ A⁵ + Log₆ C² – Log₆ D⁶
Recall:
Log Mⁿ = nLog M
Thus,
Log₆ A⁵ + Log₆ C² – Log₆ D⁶
= 5Log₆ A + 2Log₆ C – 6Log₆ D
Log₆ A = 1
Log₆ C = 3
Log₆ D = 4
= 5(1) + 2(3) – 6(4)
= 5 + 6 – 24
= 11 – 24
= –13
Therefore,
Log₆ (A⁵C² / D⁶) = –13
Do 500 divied by 4 and its 125 so 125 people have dogs.
Answer:
y = (5/4)x + 6
Step-by-step explanation:
The 1st line's equation is:
● 4x + 5y = 20
Substract 4x from both sides
● 4x + 5y - 4x = 20 - 4x
● 5y = 20 -4x
● 5y = -4x + 20
Divide both sides by 5
● 5y/5 = (-4x + 20)/5
● y = (-4/5)x + 4
● y = -0.8x + 4
Let m be the slope of the second line
The lines are perpendicular so the product of their slopes equals -1
Then: m × (-0.8) = -1
● m × (-0.8)= -1
● m = -1/(-0.8)
● m = 1.25
y = 1.25x + b
b is the y-intercept of the line.
To get it replace by the coordinates of a point.
We are given that the line passes through (-4,1)
● y = 1.25x + b
● 1 = 1.25 × (-4) + b
1.25 is 5/5
● 1 = (5/4) × (-4) + b
● 1 = -5 + b
Add 5 to both sides
● 1 + 5 = -5 + b + 5
● b = 6
So the equation is
● y = (5/4)x + 6
Answer: Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.
Step-by-step explanation:
To find the mean for corrective lenses, add up all of the numbers and divide by the number of data points.
Doctor A's mean:
Add up the data points: 745+726+769+765+756+742+747+748+770+738 = 7516. Count the number of data points to get 10. Divide 7516 by 10. 7516/10 = <em>751.6</em>.
Doctor B's mean:
Add up the data points: 763+736+735+759+748+756+765+761+768+761 = 7552. Divide by 10. 7552/10 = <em>755.2</em>
Difference:
755.2-751.6 = <em>3.6</em>
