Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 3x + 5y = 11
We must first write the equation in the general equation above
So we have
5y = - 3x + 11
Divide both sides by 5
<h3>
</h3>
Comparing with the general equation above
Slope = - 3/5
Since the lines are parallel their slope are also the same
Slope of parallel line = - 3/5
So the equation of the line using point
(15, 4) and slope - 3/5 is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
The range is the difference betweem the largest and smallest NUMBERS in the whole piece of data. The IQR is the difference between the largest and smallest QUARTILES. For example, if you had the data 1,2,3,4,5: 5-1=4 would be the range and...(4-2)=2 would be the IQR. Hope this helped! :)
The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.
The total speed is (120 mi)/(3 h) = 40 mi/h.
The speed ratio is ...
... Bill : Joe = 3 : 1
so the speed ratio Bill : Total is ...
... 3 : (3+1) = 3:4.
Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.
Answer:
<u>The number is 296.</u>
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
. Let's solve the equation to find x.
1. Write the expression.
2. Substract 5 from both sides and simplify.
3. Multiply 8 on both sides and simplify.
<u>We have found our number, it's 296!</u>
