Misty bought 3 CDS . the country music CD cost $12 . The rock music CD cost 2/3 as much as the country music Cd . The platinum e
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Distance traveled in clear weather = 50 miles
Distance traveled in thunderstorm = 15 miles
Let speed in clear weather = x
⇒ Speed in thunderstorm = x-20
Total time taken for trip = 1.5 hours
We need to determine average speed in clear weather (i.e. x) and average speed in the thunderstorm (i.e. x-20 ).
Total time taken for trip = Time taken in clear weather + Time taken in thunderstorm
⇒ Total time taken for trip = +
⇒ 1.5 = +
⇒ 1.5 =
⇒ 15*x*(x-20) = 10*[50*(x-20)+15*x]
⇒ 15x² - 300x = 500x - 10,000 + 150x
⇒ 15x² - 300x = 650x - 10,000
⇒ 15x² - 950x + 10,000 = 0
⇒ 3x² - 190x + 2,000 = 0
The above equation is in the format of ax² + bx + c = 0
To determine the roots of the equation, we will first determine 'D'
D = b² - 4ac
⇒ D = (-190)² - 4*3*2,000
⇒ D = 36,100 - 24,000
⇒ D = 12,100
Now using the D to determine the two roots of the equation
Roots are: x₁ = ; x₂ =
⇒ x₁ = and x₂ =
⇒ x₁ = and x₂ =
⇒ x₁ = and x₂ =
⇒ x₁ = 50 and x₂ = 13.33
So speed in clear weather can be 50 mph or 13.33 mph. However, we know that in thunderstorm was 20 mph less than speed in clear weather.
If speed in clear weather is 13.33 mph then speed in thunderstorm would be negative, which is not possible since speed can't be negative.
Hence, the speed in clear weather would be 50 mph, and in thunderstorm would be 20 mph less, i.e. 30 mph.
Hey. Let me help you on this one.
In order for us to solve this problem, we will need to determine how much money Luke has earned from the sales this month, and find the total amount of sales in dollars.
I will also be attaching an image to this answer in case you still don't understand the question, or need extra help with your studies.
We know that Luke's salary is $3500, and anything above that amount of money comes from sales he makes. We also know that he only gets 15% from sales. Let's determine how much he earned from sales this month.
Luke has earned $1260 from the sales he made. Since it's only 15% of the full amount, we need to convert this value to 100%. We can do this by finding 1% of the unknown number, and multiplying it by 100 to show the full amount of sales.
Let's find 1% of the total amount of sales. Since 1260 is 15% of the unknown total, let's divide it by 15.
Great. $84 is 1% of the total amount of sales. All we need to do is multiply it by 100 to show 100% of the total amount of sales.
Awesome. We now know the amount of sales in dollars that Luke has brought to the company.
Answer: Total amount of Luke's sales in dollars is $8400
In order for us to solve this problem, we will need to determine how much money Luke has earned from the sales this month, and find the total amount of sales in dollars.
I will also be attaching an image to this answer in case you still don't understand the question, or need extra help with your studies.
We know that Luke's salary is $3500, and anything above that amount of money comes from sales he makes. We also know that he only gets 15% from sales. Let's determine how much he earned from sales this month.
Luke has earned $1260 from the sales he made. Since it's only 15% of the full amount, we need to convert this value to 100%. We can do this by finding 1% of the unknown number, and multiplying it by 100 to show the full amount of sales.
Let's find 1% of the total amount of sales. Since 1260 is 15% of the unknown total, let's divide it by 15.
Great. $84 is 1% of the total amount of sales. All we need to do is multiply it by 100 to show 100% of the total amount of sales.
Awesome. We now know the amount of sales in dollars that Luke has brought to the company.
Answer: Total amount of Luke's sales in dollars is $8400