Answer:
I think jillian will have to run 10 miles
Step-by-step explanation:
2 miles = 100 calories
in order to burn 500 calories
2 miles = 100 calories burned
4 miles = 200 calories burned
6 miles = 300 calories burned
8 miles = 400 calories burned
10 miles = 500 calories burned
The ratio of 
= - 34
How to solve such questions?
Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.
Completing the square is a method that is used for converting a quadratic expression of the form 
to the vertex form
. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: 
, such that the left side is a perfect square trinomial
= 
= 
(Completing Square method)
=
On comparing with the given equation we get
p = - 
and q = 
∴ = 
= - 34
Learn more about completing the square method here :
brainly.com/question/26107616
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Solving for the amount of maturity given that it is compounded monthly for 1 year with an interest of 3%, we have the formula and solution below:
A = P (1+r/n)^rn
A = $5,000 (1.040417)
A =$5202.085
For compounded daily, we have the solution below:
A = $5,000 (1.040443)
A = $5202.215
The difference in amount is shown below:
Difference = $5202.215 - $5202.085
Difference = $0.13
Answer:
6 weeks
Step-by-step explanation:
Easier way to solve: If she takes 7 quizzes each week, 7 times something (amount of weeks) equals 42.
7 X <u>6</u> = 42
Solving with algebra: We know that hanna takes six quizzes a week and takes a total of 42 quizzes, therefore the unknown (x) is the amount of weeks she takes the quizzes.
Amount of weeks X amount of tests per weeks = 42 quizzes
<em>x </em>X 7 = 42
42/7 = 6
