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?
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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What is the slope and the y- intercept of the line on the graph
Answer:
its c for sure, its obvious
What is the measure of angle G? Type only the number:
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
Which operation should you perform after (9 + 6) in the expression 12^2 + 10 × 2 − (9 + 6) ÷ 5?
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
How many elements are in this equation:Mg2N3?
Answer:
there are 2 Magnesium and Nitrogen
Step-by-step explanation:
find the factor 12n-18
Answer:
Hope this helps!!!
Step-by-step explanation:
6(2−3)
Answer:
6(2n - 3)
Step-by-step explanation:
Math unit rate can someone please help me
Answer: All I know is C is one of them. I’m trying lol
Step-by-step explanation:
in a study of 300 students under 25 years old, 21have not yet learned to drive. What percentage can drive?
Answer:
93%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total number of student = 300
Number of student that can not drive = 21
Percentage of student that can drive =.?
Next, we shall determine the number of student that can drive. This can be obtained as follow:
Total number of student = 300
Number of student that can not drive = 21
Number of student that can drive =?
Number of student that can drive = (Total number of student) – (Number of student that can not drive)
Number of student that can drive = 300 – 21
Number of student that can drive = 279
Finally, we shall determine the percentage of student that can drive as illustrated below:
Total number of student = 300
Number of student that can drive = 279
Percentage of student that can drive =?
Percentage of student that can drive =
279/300 × 100
= 93%
Thus, 93% of the student can drive.
You buy 4 cases of bottled water and 5 bottles of fruit punch for a birthday party. Each case of bottled water cost $2.75, and each bottle of fruit punch coast $1.35. You hand the cashier a $20 bill. How much change will you receive? Hurry! It’s do today!
Answer:
$2.25
Step-by-step explanation:
Change
= $20 - total price of the items bought
Total price of bottled water
= 4($2.75)
= $11
Total price of fruit punch
= 5($1.35)
= $6.75
Change
= $20 -($11 +$6.75)
= $20 -$17.75
= $2.25
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??
Answer:
22 is 10 of 220
Step-by-step explanation:
hope it help
15% of the cost of a computer was tax. If the tax was $180, what was the cost of the computer?
A $1,000
B $1,020
C $1.200
D $1.500
Answer:
C. 1200
Step-by-step explanation:
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.
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
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?
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
In this diagram, which equation could you prove to be true in
order to conclude that the lines are parallel?
(0, b)
= 1
(a, 0)
(0, 0)
(0, 0)
||
1
1
2
الله
What partial products can be used to find the product 3x219
Answer:
You can do (3x200)+(3x10)+(3x9) Hope it helps!
The product is 657 if you need it!
Step-by-step explanation:
Choose one item to purchase. What is the greatest number of that item you can buy with a $10 bill and still receive change? How much change will you receive ? Explain.
Answer:
poster board
Step-by-step explanation:
2Conditions:
-greatest number of 1 item
-still receive change
If you go for the cheapest items like pencil or eraser you will pay with $10 for
$0.10* 100items= $10 yet no change
If you go for second most cheapest pen $0.25 you can by
if you buy 4 pencils and each with $0.25 you will pay $1
for $ 10 you can get 4*10 = 40 pencils yet no change
if you go for the third cheapest item is the poster board
$ 1.50*2= $3 so $1.50*6 =$9 and the change will be $10-9$ = $1
Liz is taking guitar lessons and practices every night. Yesterday, she played a total of 40 chords in 8 minutes. Today she will play chords for 5 minutes. If she plays at the same rate, how many chords will Liz play today?
Answer:the answer is 25
Step-by-step explanation:
40 divided by 8 = (chords played per minute)
5 times (chords played per minute and you get your answer
Liz will play a total of 25 chords in 5 minutes today which is determined by the ratio.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that Liz played a total of 40 chords in 8 minutes.
Let's assume she plays a total of x chords in 5 minutes.
According to the given question, we can write the ratio as:
40 chords : 8 minutes = x chords : 5 minutes
⇒ 40 / 8 = x / 5
Apply the cross-multiplication operation,
⇒ 8x = 40 × 5
Apply the multiplication operation,
⇒ 8x = 200
⇒ x = 200/8
Apply the division operation to get the answer
⇒ x = 25
Therefore, she will play a total of 25 chords in 5 minutes.
Learn more about the Ratio here:
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Help please
Will mark as brainliest!!!
Answer:
c
Step-by-step explanation:
Steph age is 7/5 times of the total of students in this class minus 22. If steph is 13 years old , write an equation to find the total students in the class.
Step-by-step explanation:
Let us take:
Steph's age = x
No. of students in the class = y
Given that,
x = 13
also,
x = 7/5y - 22
That gives,
13 = 7/5y - 22
13 + 22 = 7/5y
35 = 7/5y
35 × 5/7 = y
5 × 5 = y
25 = y
Appropriate Inverse Operation
Which would be used to solve this equation? Check all that apply.
=12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
*
Intro
giving brainliest !!!
Answer:
Given
Step-by-step explanation:
Statement 1: AB is parallel to CD is justified as 'Given'
What is the answer for 3(x+5)=5x+7
Answer:
4 = x
Step-by-step explanation:
First, distribute the 3 to the x and 5.
3x + 15 = 5x + 7
Now, subtract 3x from both sides and 7 from both sides.
8 = 2x
Now, divide by 2 on both sides.
4 = x
#teamtrees #WAP (Water And Plant)
84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.
Find the value of y
Im so lost can someone help and explain
Half a number minus 8 is 14.
Answer:
[tex]\frac{n}{2} -8=14[/tex]
hope this helps
Answer:
1/2-8=14
Step-by-step explanation:
I got this because half is 1/2 minus is - and eight 8 is /equal to = 14
Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
2d +4(d – 3) = 3, what is 9d+1
9514 1404 393
Answer:
9d +1 = 23.5
Step-by-step explanation:
=Simplifying, we have ...
2d +4d -12 = 3
6d = 15
d = 15/6 = 5/2
Then 9d+1 is ...
9(5/2) +1 = 45/2 +1 = 47/2
9d +1 = 23.5
29.9.2+ n+ 8.4 = 20.8
Please help
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
A full glass of water can hold á of a bottle.
How many glasses of water can be filled with 3 bottles of water?
Answer:
2
Step-by-step explanation:
lol
(a) At Garcia's Bike Rentals, it costs $36 to rent a bike for 9 hours.
How many hours of bike use does a customer get per dollar?
hours per dollar
Answer:
15 mins per dollar
Step-by-step explanation:
how many minutes are their in 9 hours?
540 minutes
so, we divise 540 to 36
this results to 15.
this means, you get 15mins per dollar