By hypothesis, Deon is riding at a speed of 22.4 kilometers per hour. So each hour, he completes 22.4 km.
If he rides for 7 hours, he completes 22.4 * 7 = 156.8 km
So in 7 hours, he rides 156.8 kilometers.
Hope this helps! :)
Answer:
116 miles
Step-by-step explanation:
We can solve this by first writing an equation for the cost of the car rental. To begin, the base cost is $17.95, so any further costs must be added to that. Next, the car costs 19 cents (0.19 dollars) for each mile driven, so for each mile, we add 19 cents. This can be written as 0.19 *x if x represents the amount of miles driven. Therefore, we can add the two input costs of the car (the base cost and cost per mile) to get
17.95 + 0.19 * x = total cost.
After that, we want to maximize x/the number of miles with only 40 dollars. We can do this by setting this equal to the total cost, as going over the total cost is impossible and going under would be limiting the amount of miles (this because we are adding money for each mile, so more money means more miles). Therefore, we have
17.95 + 0.19 * x = 40
subtract 17.95 from both sides to isolate the x and its coefficient
22.05 = 0.19 * x
divide both sides by 0.19 to isolate x
22.05/0.19 = x = 116.05
The question asked us to round down, and 116.05 rounded down is 116 for our answer
Answer:
4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x - y = 11
x + 3y = -5
<u>Step 2: Rewrite Systems</u>
2x - y = 11
- [Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x
- [Division Property of Equality] Divide -1 on both sides: y = 2x - 11
<u>Step 3: Redefine Systems</u>
y = 2x - 11
x + 3y = -5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: x + 3(2x - 11) = -5
- [Distributive Property] Distribute 3: x + 6x - 33 = -5
- Combine like terms: 7x - 33 = -5
- [Addition Property of Equality] Add 33 on both sides: 7x = 28
- [Division Property of Equality] Divide 7 on both sides: x = 4
Answer:
They have the same slope of 2 and are, therefore, parallel.
Step-by-step explanation:
Given: Equation of FG is 
and equation of EH is 
To find: Relation between segments FG and EH
Solution:
Slope of a line describes its direction and the steepness.
Two lines are said to be parallel if their slopes are equal.
Differentiate with respect to x
where 
denotes the slope of the line FG
Differentiate with respect to x
where 
denotes slope of line EH
As 
, lines are parallel
