A hot dog vendor has determined that the number of hot dogs he sells per day is inversely proportional to the price he charges. The vendor wants to decide if increasing his price by 55 cents will drive away too many customers. On average, he sells 200 hot dogs a day at a price of $3.85 per hot dog. How many hot dogs can he expect to sell if the price is increased by 55 cents? Round your answer to the nearest hot dog.
Answers
Answer:
175 hot dogs
Step-by-step explanation:
The new price will be $3.85 + 0.55 = $4.40. Since the price has increased by a factor of 4.40/3.85 = 8/7, the number of hot dogs sold, which is inversely proportional, will be ...
(7/8)·200 = 175 . . . hot dogs sold at the higher price
Final answer:
The vendor can expect to sell approximately 233 hot dogs if the price is increased by 55 cents.
Explanation:
To determine how many hot dogs the vendor can expect to sell if the price is increased by 55 cents, we can use the inverse proportionality relationship between the number of hot dogs sold and the price charged.
First, let's set up a proportion with the initial price and number of hot dogs sold:
$3.85 / 200 = (new price + $0.55) / x
Next, we can cross multiply and solve for x:
x = (200 * ($3.85 + $0.55)) / $3.85
Calculating this expression gives us a value of x ≈ 233.77.
Since the number of hot dogs sold must be a whole number, we round down to the nearest whole number, giving us an estimated value of 233 hot dogs.
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Answers
Answer:
Question 1:
The answer is going to be A
Question 2:
The answer is A
I hope this helps
Answers
b. 12.65 cm
c. 12.60 cm
d. 12.70 cm
Answers
Answer: a. 12.66 cm
Step-by-step explanation:
Given value: 12.655 cm
Here in the given value there area five significant figures.
If we need to round the value to four significant figures then we need to round the given value to the nearest hundredth.
Since, the last digit (hundredth and thousandth place) is 55 which is nearest to 60.
Then the the required answer after round off to the nearest hundredth will be :-
Answers
4/11 (2/2) = 8/22
4/11 (3/3) = 12/33
4/11 (4/4) = 16/44
12/33
44/121
63872/175648
Check all that apply
Answers
Answer:
Options B and E are correct.
Step-by-step explanation:
Let the equation of the given line is y = mx + c
This line passes through two points (1, 13) and (-2, 4)
So slope of the line m =
m =
y-intercept of the line is 10
Therefore equation will be y = 3x + 10
Now we take the options one by one.
A. y - 2 = 3(x - 4)
y = 2 + 3x - 12
y = 3x - 10
Option is incorrect because the given line in this option doesn't matches with the equation of the line.
B. y - 4 = 3(x + 2)
y = 4 + 3x + 6
y = 3x + 10
Correct option.
C. y - 1 = 3(x - 13)
y = 1 + 3x - 39
y = 3x - 38
Incorrect option.
D. y - 4 = 3( x- 2 )
y = 4 + 3x - 6
y = 3x - 2
Incorrect option
E. y - 13 = 3(x - 1)
y = 13 + 3x -3
y = 3x + 10
Correct option.
F. y + 2 = 3(x - 4)
y = -2 + 3x - 12
y = 3x - 14
Incorrect option.
Therefore, Options B and E are the correct options.
Plugging into our point-slope form, we get y-y1 = 3(x-x1), then apply one of the points: y - 4 = 3(x+2)
Therefore B is right.
2 ÷ p
B.
p + 2
C.
2 × p
D.
p – 2
Answers
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Hope that helped!