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Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.
a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?
Answers
Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
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An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about 6,000 apples. Do you agree? Explain.
Answer: No. Since 13×400=5,200, 13 apple trees can grow about 5,200 apples. Jake's estimate of 6,000 is much higher than 5,200.
Answers
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
Which operation should you perform after (9 + 6) in the expression 12^2 + 10 × 2 − (9 + 6) ÷ 5?
Answers
Answer:
12²
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define expression
12² + 10 × 2 - (9 + 6) ÷ 5
Step 2: Steps
We do parenthesis first, so (9 + 6) is the first thing we do.
The next thing we do is exponents (according to BPEMDAS), so we do 12².
Answer:
Following PEMDAS
Next step : Exponents
Next step : Multiplication
Next step : Division
Next step : Addition
Next step : Subtraction
Step-by-step explanation:
12²+10×2-(9+6)÷5
Open parentheses
12²+10×2-15÷5
Exponents : 12²= 144
144+10×2-15÷5
Multiplication : 10×2=20
144+20-15÷5
Division : -15÷5= -3
144+20-3
Add :144+20=164
164-3
Subtract
= 161
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answers
Answer: I think its C
Step-by-step explanation:
Michael buys pants from a clothing company for $70 dollars. He then sells each pair of pants in his clothing shop at a 40% markup. How much is the markup on the pants?
Answers
Answer:
$98
Step-by-step explanation:
70 is the original price, but the mark up is 40%. So, 40% of 70 is 28
$70 + $28 = $98
84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.
Answers
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side
Y = 84
Wes had 4.75 in quarters and dimes if he had 25 coins how many of each did he have?
Answers
Answer:it would be 15 quarters and 10 dimes
Step-by-step explanation:
15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75
Answer:
15 quarters and 10 dimes
Step-by-step explanation:
25x + 10(25-x) = 475
x = 225/15
x = 15
So that has to mean he has 10 dimes
Hope this helps!!!
Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.
Answers
Answer:
67
Step-by-step explanation:
You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.
On a street , there are 25 houses, of which 12 have a cat and 4 have both a cat and a dog. If a house has a cat, what is the probability that there is also a dog living there?
Answers
Answer:
50 percent
Step-by-step explanation:
Math unit rate can someone please help me
Answers
Answer: All I know is C is one of them. I’m trying lol
Step-by-step explanation:
What partial products can be used to find the product 3x219
Answers
Answer:
You can do (3x200)+(3x10)+(3x9) Hope it helps!
The product is 657 if you need it!
Step-by-step explanation:
What is the solution for y=2x+3, y=2x-3
Answers
Answer:.
Step-by-step explanation:
The subset of the sample space probability experiment
Answers
Step-by-step explanation:
The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.
can you help me out
Answers
Answer:
$36
Step-by-step explanation:
Answer:
$36.
Step-by-step explanation:
(Hot dog) 2 for 5: Unit price is 5/2 = 2.5
(Soda) 3 for 3 so unit price is 1 for 1.
6 sodas = 6 dollars
12 Hot dogs = 12. x 2.5 = 30 dollars.
Price for both = 30 + 6 = 36.
helllppp meee please
Answers
Answer:
2, 3, 6, 7
Step-by-step explanation:
The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??
Answers
Answer:
22 is 10 of 220
Step-by-step explanation:
hope it help
Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?
Answers
Answer:
1.15 miles
Step-by-step explanation:
Answer:
24/20
Step-by-step explanation:
Changed denominator to 20 since 4 and 5 both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1 1/5/ Hope this helps!
8y-2x=-72 in slope form
Answers
Answer:
y=1/4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b.
8y-2x=-72
Add 2x to both sides
8y=2x-72
Divide both sides by 8.
y=1/4x-9
HTH :)
Help me please. Thanks
Answers
Answer:
ç sir kasi multiplication gamitinnnyan
Answer:
A
Step-by-step explanation:
Find the area of the square
Area = s^2
s = 8
Area = 64 square feet.
Find the area of 1 circle.
r = d / 2
r = 4 / 2
r = 2
Area of 1 circle = pi r^2
Area of 1 circle = 3.14 * 2^2
Area of 1 circle = 12.56
Area of 4 circles
Area of 4 circles = 4 * 12.56
Area of 4 circles = 50.24
Area of unshaded area
Area of unshaded area = area square - area 4 circles.
Area of unshaded area = 64 - 50.24
Area of unshaded area = 13.76
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers
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Answer:
b
Step-by-step explanation:
What is the measure of angle G? Type only the number:
Answers
Answer: 48
Step-by-step explanation:
total of all the degrees of the angles of the triangle is ALWAYS 180
let the measure of angle G be x
180 = 102+30+x
180 = 132+x
x = 48
I need help again please help me with this question
Answers
Answer:
The size of a sundae and the amount of calories it contains.
Step-by-step explanation:
The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.
When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all
The measure of the angle is 44 times greater than its supplement.
What is the measure of the supplement?
Answers
Answer: The measure of it's supplement is 4°
Step-by-step explanation:
If an angle is 44 times is supplement, then we can represent it by the equation x = 44y where x is the angle and y is it's supplement.
Supplementary angles add up to 180 degrees, meaning that x + y = 180.
x = 44y
x + y = 180
Using both equations substitute the value for x in the first equation, into the second equation and solve for y.
44y + y = 180 Combine like terms on the left side
45y = 180 Divide both sides 45
y = 4
This means the measure of it's supplement is 4 degrees.
Now input 4 into one of the equations for y and solve for x to find the main angle.
x = 44(4)
x = 176
This also means that the angle itself is 176 degrees.
The measure of the supplementary angle is 4°.
It is given that the measure of the angle is 44 times greater than its supplement.
We have to find out the measure of the supplement.
What are supplementary angles ?
Two angles are said to be supplementary angles if the sum of two angles is 180°.
As per the question ;
The measure of the angle is 44 times greater than its supplement.
Let's assume the supplementary angle is x .
So,
The other angle will be 44 × x .
We know that sum of two angles if they are supplementary is 180°.
⇒ x + 44 x = 180 °
⇒ 45 x = 180°
⇒ x = 180 ÷ 45
⇒ x = 4°
And the other angle will be ;
= 44 × 4
= 176°
Thus , the measure of the supplementary angle is 4°.
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How many elements are in this equation:Mg2N3?
Answers
Answer:
there are 2 Magnesium and Nitrogen
Step-by-step explanation:
29.9.2+ n+ 8.4 = 20.8
Please help
Answers
Answer:
n=6.42
Step-by-step explanation:
Following the steps for this equation.
Answer:
29.9.2+
Step-by-step explanation:
That should be right
f(x) = 72-12x what is the domain and range
Answers
Answer:
The domain is x and the range is f(x)
Step-by-step explanation:
Explanation:
Is undefined in other words “do not exist”
If Paul’s savings are 25% more than Janet’s savings,
What percentage of Paul
savings are Janet’s savings
(A) 25 %
(B). 50%
(C) 75%
(D) 80%
Answers
What is the slope and the y- intercept of the line on the graph
Answers
Answer:
its c for sure, its obvious
Collateral can be beneficial for borrowers when applying for a loan by
a. offering lenders additional financial gain if borrowers defaults on their loans
b. lessening the total loan amount, making it easier for borrowers to be approved
C. giving lenders protection against financial loss and more reason to approve loans
d. demonstrating that borrowers have ownership of high-end goods and can obviously make their
loan payments
Please select the best answer from the choices provided.
A
B
C
D
Answers
When applying a loan, Collateral can be beneficial to the borrower because: (C). giving lenders protection against financial loss and more reason to approve loans
Meaning of Loan and collateralLoan is a form of debt incurred by an individual as a result of recieving money from an individual or organization that will repaid within a definite period.
collateral can be defined as any asset (example: car, house, land etc) that is offered by the borrower to the lender to secure a loan.
it is very important because the lender is secured that if you cant repay the loan he takes the asset.
In conclusion, when taking a loan, collateral is important.
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why was mom now saying that Augie did not have to go to school
Answers
Answer:
Is there suppose to be a picture?
Step-by-step explanation:
Answer:
Because she liked Augle more than the other child
Step-by-step explanation:
She didn't want him to go to school so that she could spend the day with her favorite child