Answer:
240 minutes or 4 hours
Step-by-step explanation:
So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.
If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.
Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.
So you have 45/80 and 45/120.
Now add both fractions by finding the lowest common denominator which is 240.
135/240 + 90/240 = 225/240
So Mack did the remaining 15/240.
Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.
Then multiply
15 x 16 = 240
so it would take him 240 minutes or 2 hours.
Answer:
24761 mosquitoes
5.4 days
Step-by-step explanation:
Let the equation that shows the population of the mosquitoes after x days,
Where,
P = Initial population,
r = rate of increasing per day,
Here, A = 1000, when x = 0,
A = 1900 when x = 1,
Thus, the required function that represents the population after x days,
If x = 4,
The number of mosquito after 4 days,
If A = 60,000,
Taking log both sides,
Thus, there will 60,000 mosquitoes after 5 days.
Answer:
Step-by-step explanation:
cos(y°) = 8/13
y° = arccos(8/13) ≅ 50°
Answer:
The volume of 1 bucket is 2.4 liters.
Step-by-step explanation:
We know that the volume of 12 buckets is the same as the volume of 9 bottles:
(1)
Where B is for buckets and b is for bottles.
Also, that the total volume of 3 bottles and 5 buckets is 21.6 liters:
(2)
We can calculate the volume of 1 bucket by entering equation (1) into (2):
By solving for "b" we have:
Now, the volume of 1 bucket is:
Therefore, the volume of 1 bucket is 2.4 liters.
I hope it helps you!
Answer:
y = x - 2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this formula, "m" represents the slope and "b" represents the y-intercept. Before writing our equation in this form, we first need to find the slope. The slope can be found using the point-slope formula:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope, "x₁" and "y₁" represent the values from Point One, and "x₂" and "y₂" represent the values from Point Two. You can find the slope by plugging the values from the points into the equation and then simplifying.
x₁ = 0 x₂ = -3
y₁ = -2 y₂ = -5
y₁ - y₂ = m(x₁ - x₂)
(-5 - (-2)) = m(-3 - 0)
-3 = m(-3)
1 = m
Now that we have a value for the slope, we can use the values from either one of the points to solve for the y-intercept (from the slope-intercept form equation).
m = 1
x = 0
y = -2
y = mx + b
-2 = (1)(0) + b
-2 = 0 + b
-2 = b
Therefore, the equation of the line in slope-intercept form is:
y = x - 2
