Answer:
The dependent variable is number of calories burnt.
Step-by-step explanation:
The dependent variable of an experiment is the variable under study, i.e. it is the variable that is being observed for any changes, when the other variables are changed.
The independent variable is the variable that is being altered to observe the changes in the dependent variable.
A dependent variable can be affected by one or more than one independent variables.
In this case, the data provided represents the number of calories Maggie burned based on the number of miles she ran.
So, the amount of calories burnt is dependent upon the number of miles covered running.
So, the dependent variable is the number of calories burnt and the independent variable is the number of miles she run.
Thus, the dependent variable is number of calories burnt.
When two chords<span> intersect inside a circle, the product of the two segments of one </span>chord<span> equals the product of the two segments of the other chord.
</span><span>MN*NL=KN*LN
10x=4*20=80
x=8
ML=MN+NL=18
<span /></span>
Answer:
(4, 10)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties<u>
</u>
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-5y + 8x = -18
5y + 2x = 58
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 10x = 40
- [Division Property of Equality] Divide 10 on both sides: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original equation]: -5y + 8(4) = -18
- Multiply: -5y + 32 = -18
- [Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
- [Division Property of Equality] Divide -5 on both sides: y = 10