Question:
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $20.70? How much was the tip?
Answer:
Price of meal = $18
Tip price = $2.70
Step-by-step explanation:
Let the price of the meal be <em>y</em>;
Let the tip be <em>t</em>
<em></em>
<em>From the question;</em>
15% of <em>y </em>is the tip charge (<em>t</em>). i.e
t = 15%y
=> t = 0.15y --------(i)
<em>The total amount charged is $20.70 (This means that the sum of the price of the meal and the tip is $20.70)</em>
=> y + t = 20.70 [substitute the value of t=0.15y from equation (i)]
=> y + 0.15y = 20.70
=> 1.15y = 20.70
=> y =
=> y = $18
Therefore the price of the meal, y, is $18.
From equation (i),
t = 0.15y [substitute the value of y = $18]
t = 0.15(18)
t = $2.70
Therefore the tip was $2.70
Answer:
<h3>=> Cos theta = Base /Hypotenuse
=> Cos Z = 30/50 => 3/5
★ So, Option <u>B) 3/5 </u> is a correct answer.
_______________________
<h3>8. Cos X </h3>
=> Cos theta = Base/Hypotenuse
=> Cos X = 12/37
★ So, option <u>D)</u><u> </u><u>1</u><u>2</u><u>/</u><u>3</u><u>7</u> is a correct answer.
________________________
<h3>9. Sin Z</h3>=> Sin theta = Perpendicular/Hypotenuse.
Sin Z = 16/20 => 4/5
★ So, option <u>C)</u><u> </u><u>4</u><u>/</u><u>5</u> is a correct answer
<h3>_____________________</h3><h3>10. Sin Z </h3>=> Sin theta = Perpendicular/Hypotenuse
Sin Z = 48/50 => 24/25
★ So, option <u>A)</u><u>2</u><u>4</u><u>/</u><u>2</u><u>5</u> is correct answer
________________________
Answer:
The equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025
Step-by-step explanation:
The first bill amount for 2.75 hours of landscaping work = $120.75
The second bill amount for 5.25 hours of landscaping work = $160.50
No we are supposed to find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour
So, we will us two point slope form to find the equation:
Formula :
Substitute the values in the formula
Hence the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025