Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9
to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9
= 
= 
= 
2) Now we need to convert
into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = 
Plugging the values of Distance and Time taken into the formula, we get
Speed = 
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>

Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides

Divide both sides by -2

Now, we can identify clearly that the slope of the given line is
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (-6,-8)

Add 3 to both sides to isolate b

Therefore, the y-intercept is -5. Plug this back into
:

I hope this helps!
The standard deviation of the set is 5.2
To find standard deviation, we take the square root of the variance.
John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.
Let: b=cost of banana per pound and c=cost of cherries per pound
Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.
3c + 2b =$24.95
Equation 2: The cost of bananas is $6.50 less than a pound of cherries.
b= c - $6.50
We can substitute the second equation into the first one to solve for the cost of cherries per pound.
3c + (2)(c-$6.50)= $24.95
3c + 2c -$13.00 = $24.95
5c = $24.95 + $13.00
c = $7.59
Substituting the value of c to the second equation to solve for b.
b= $7.59 - $6.50 = $1.09
The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.
For more information regarding the system of equations, please refer to brainly.com/question/25976025.
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The answer would be C because it’s the only fraction that does not equal 0.4