Answer:
r = 11.623cm (aprox)
n = 6.153cm (aprox)
Step-by-step explanation:
Proportions:
9.8 ⇔ 4.3
n ⇔ 2.7
r ⇔ 5.1
n = 9.8*2.7/4.3 = 6.153 (aprox)
r = 9.8*5.1/4.3
r = 11.623 (aprox)
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)
Learn more about
https://brainly.com/question/1499535
What is the slope and the y- intercept of the line on the graph
Answer:
its c for sure, its obvious
If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)
Answer:
Thx for my points back that you stole
Step-by-step explanation:
84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.
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.
What percent is 8 out of 32?
Answer:
25%
Step-by-step explanation:
8/32= 25%
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
The hypotenuse is always the __________ side of a right triangle.
Answer:
the answer is opposite
Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)
Answer:
Length = 7 ft
Breadth = 7 ft
Step-by-step explanation:
Let lenght of rectangle be x
and breadth be y
Area = [tex]49\ \text{ft}^2[/tex]
[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]
Permiter of a rectangle is given by
[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]
Differentiating with respect to y we get
[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]
Equating with zero
[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]
Double derivative of the equation
[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]
So the value of y is minimum at 7.
[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]
Hence, [tex]x=7,y=7[/tex]
The mimimum length and breadth of the rectangle is both 7 ft.
will someone plz do this question
Answer:
the answer is a your welcome
Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?
Answer:
0.35%
Step-by-step explanation:
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
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
Solve for e
7 = 15 - 2e
e equals....
Answer:
e=4
Step-by-step explanation:
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:
$120 less than half of d dollars
Answer:
[tex]\frac{d}{2} - 120[/tex]
Step-by-step explanation:
You work backwards:
Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.
Answer:
1/2d-120
Step-by-step explanation:
Alright.
d=amount of money
1/2d=half of the amount of money
1/2d-120=half of the money minus 120
∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help
Answer:
∠1 = 124 degrees
Step-by-step explanation:
Vertical angles are always congruent
So ∠1 = ∠2
Answer:
Supplement of m∠1 = 56°
Step-by-step explanation:
Since both angles are vertical, they both equal to each other.
m∠2 = m∠1
= 124°
To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.
Supplement of m∠1 = 180°-124°
= 56°
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%
PLEASE PLEASE PLEASE HELP
Answer:
some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.
55.) A.9 B. 29
57.) SAS
Step-by-step explanation:
y= p2 + qr write p in terms of y, q and r
Step-by-step explanation:
y=p²+qr
y-qr=p²
p=√y-qr
now, is it fine..
Solve the inequality 2 (x - 2) +8.6 < 14.
Answer:
x<4.7
Step-by-step explanation:
2(x-2)+8.6<14
2x-4+8.6<14
2x=4.6<14
2x<14-4.6
2x<9.4
_____
x<4.7
mom said its my turn to be brainliest answer ;0
also, help me on my math hw maybe ?
Answer: x < 4.7
Step-by-step explanation:
Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.
What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?
Answer
35
Step-by-step explanation:
4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!
whats the y-intercept of y= 1/3 x-1y
Answer:
(0, 0)
Reasoning:
Y-intercept means set x to 0 and solve, therefore;
[tex]y=1/3(0) -1y[/tex]
[tex]y=0-1y[/tex]
[tex]2y=0[/tex]
[tex]y=0/2=0[/tex]
Thus, the y-intercept is (0,0)
I hope this helps you and good luck!
Help me please. Thanks
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
A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account
Answer:
1500+40N=A
Step-by-step explanation:
40 per month (N) plus the initial amount = $ in account (A)
4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?
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
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?
Answer:
50 percent
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
How many elements are in this equation:Mg2N3?
Answer:
there are 2 Magnesium and Nitrogen
Step-by-step explanation: