Answer:
The answer is 16.5 meters in 10 seconds
Step-by-step explanation:
First you divide 99 by 60 seconds
When you get 1.65 you multiply it by 10 second.
When you multiply 1.65 by 10 second you get 16.5 meters in 10 seconds
Answer:
Explained below.
Step-by-step explanation:
The vertical axis of Graph A represents the year for which the population of Benton is recorded.
Also the axis represents every other year, i.e. 2002, 2004, 2006 and so on.
This implies that the data is recorded for every other year.
Consider the data provided:
Benton population in 1000s Year
10 2002
11 2004
12 2006
13 2008
14 2010
For every 2 years the population of Benton is increasing by 1000.
That is for every year the population of Benton is increasing by 500.
If we make the vertical axis using the years:
2001, 2002, 2003, 2004, 2005, 2006 and so on, the graph will remain same with more points to plot.
So, on altering the vertical axis the graph does not changes much.
Using the given linear function, it is found that the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- x represents the number of traffic tickets.
- y represents the cost of car insurance.
The function is:
Hence the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.
You can learn more about linear functions at brainly.com/question/25823744
Answer:
A i. a:c=3:10
ii. a:b:c=2:5:10
B i. x:z=2:5
ii. x:y:z=2:4:5
Step-by-step explanation:
A.) If a:b = 2:5 and b:c = 3:4, find (i) a:c(ii) a:b:c
a:b=a/b=2/5
b:c=b/c=3/4
a/b*b/c=a/c
2/5*3/4=a/c
6/20=a/c
3/10=a/c
Therefore, a:c=3:10
a:b:c
a:b=2:5
b:c=3:4
b is common to both ratios
The value of b in the first ratio is 5 and b is 3 in the second ratio
Lets take the LCM of both values
LCM of 5 and 3=15
So, we will change the value of b in the first ratio and second ratio to 15
By doing this, we will multiply the whole first ratio by 3
We have, 6:15
We multiply the whole second ratio by 5
We have, 15:20
Therefore a:b:c=6:15:20
=2:5:10
B. If x:y = 1:2 and y:z = 4:5,
x:y=x/y=1:2
y:z=y/z=4:5
x/y*y/z=x/z
1/2*4/5=x/z
4/10=x/z
2/5=x/z
Therefore, x:z=2:5
x:y:z
x:y=1:2
y:z=4:5
y is common to both ratio
Take the LCM of y values in both ratio
LCM of 2 and 4 =4
So,we will change the value of y in the first and second ratio to 4
By doing this, we will multiply the whole first ratio by 2
We have, 2:4
We will also multiply the whole second ratio by 1
We have, 4:5
Therefore, x:y:z=2:4:5
Answer:
22.94
Step-by-step explanation:
3.7x6.2
multiply the values
