The distance from their house the Bensons' after 412 hours will be 18, 640 miles
<h3>What is a function?</h3>
A function is an expression or rule that explains the relationship between a dependent and independent variable.
Given the function;
d= 45 t + 100
Where;
- d is the total distance
- t is the time taken
If t = 412 hours
Substitute into the formula
d = 45 ( 412) + 100
d = 18540 + 100
d = 18, 640 miles
Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles
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Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
-- radius
--- height

Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:

This gives:



To calculate the time, we make use of the following rate formula.

Make Time the subject

This gives:


Cancel out the units


Answer:60 male staff
Step-by-step explanation:
Ok, there are 96 female staff. The ratio of male to female is 3:4. We’re going to use a proportion which looks like this. 3/4 = x/96. X is a variable that takes the place of the male staff since we don’t know what it is. Now, the question is what do we do to get from 4 to 96. So 96/4 = 24, so 4 x 20 = 96. To keep this ratio equivalent whatever you do to the top you have to do to the bottom so 4 x 20 = 96 and 3 x 20 = 60. So there are 60 male staff.
Answer:
27
Step-by-step explanation:
So first we need to plug in 5 as the variable a and -7 as the variable b
4(5)-(-7)
Next we multiply the 4 and the 5 together to get 20
4(5) = 20 or 4 x 5 = 20
20-(-7)
Now we subtract negative 7 from 20
20-(-7) = 27
This can also be written as 20 plus 7 as a mathematical rule states: two negatives make a positive. So:
20-(-7) = 20 + 7
Both of these are equivalent in every sense of the word and give us our final answer of 27
Answer: slide the triangle to the right 3 times and down 1
Step-by-step explanation: