Answer:
b>6
Step-by-step explanation:
At Fenway park, they can sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.
2500 hot dogs must be sold to make a profit
If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:
SP= 4 * 5000
SP = 4 + 0.25x
Total number hot dog sold = 5000 - 200x
Revenue = Sales price*Total number hot dog sold
When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]
Taking the product, the resulting function will be;
[tex]g(x) = -50x^2 + 1250x + 20000[/tex]
To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:
[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]
Substittute x = 12.5 into the total number hot dog sold function
Recall that n = 5000 - 200x
n = 5000 - 200(12.5)
n = 5000 - 2500
n = 2500
Hence 2500 hot dogs must be sold to make a profit
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ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diagonals.(Lengths are in cm).
pls help will mark as brainlist
Step-by-step explanation:
the lengths OB, OC & BC together forms a isosceles triangle.
therefore,
OB=OC
3x+4=x+8
2x=4
x=2.
OB = 3x+4= 3.2+4=10cm.
OC= x+8= 2+8=10cm.
therefore, the diagonals are : 20cm each.
hope this helps you.
Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?
Answer:
4in
Step-by-step explanation:
The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.
Perimeter of rectangle ABCD = 24 inch
Perimeter of rectangle EFGH = 48 inch
The ratio of perimeters of rectangle ABCD to EFGH will be :
= 24 : 48
= 1 : 2
It is also given that the width of rectangle ABCD is 2 inch.
Perimeter of triangle ABCD is :
P = 2 ( L + B )
24 = 2 ( L + 2)
L + 2 = 12
L = 10 inch
The area of rectangle ABCD will be :
= 10 × 2
= 20 inch²
As the perimeters of ABCD and EFGH are in ratio 1 : 2.
The area of rectangle EFGH will be :
= 20 × 2
= 40 inch ²
Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
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Write 1 over 9 as a decimal and round it to 2 decimal places
Answer:
0.111
Step-by-step explanation:
1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.
Hope this helps :)
Have a good day / night
Step-by-step explanation:
1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!
If 7 > 2, then explain why -7 < -2.
A. The above statement is false.
B. Because the sign changed.
C. Because -7 is more negative and further to the left on the numberline than
-2.
D. Because 7 is an odd number and 2 is even, which flips when they become
negative, where -7 becomes even and -2 becomes odd.
Answer:
C
Step-by-step explanation:
Hope it can help you lovelots
If 7 > 2, then explain why -7 < -2.
Answer =》C. Because -7 is more negative and further to the left on the numberline than
-2.
______
RainbowSalt2222 ☔
Please help me quickly
Step-by-step explanation:
a full circle (turning around a point a full turn) is 360°.
so, all these angles together must be 360°.
90 + 33 + 165 + 20 + x = 360
308 + x = 360
x = 52°
3 less than the quotient of a number and 5 is -7
Answer: The number is -20
Step-by-step explanation:
Take each part of the sentence and write what it is telling us:
3 less than the quotient of a number and 5 is -7
The quotient of a number and 5 is (X/5), where X is the "number."
3 less than is (X/5) - 3
is -7 is = -7
Therefore:
3 less than the quotient of a number and 5 is -7 is: (X/5) - 3 = -7
---
(X/5) - 3 = -7
(X/5) = -4
X = -20
===
See if this works:
3 less than the quotient of -20 and 5 is -7
(-20/5) = -4
Three kless than -4 is -7: It works
800 students were surveyed to find out their favorite subject. 35% chose math. How many students chose math.
Evaluate the function.
f(x) = 2x2 – 15
Find f(-2)
Answer:
[tex]f(-2)=-17[/tex]
Step-by-step explanation:
[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]
f(x) = 2x² - 15
f(-2) = ?
Substitute -2 in the place of x.
f(x) = 2x² - 15
f(-2) = 2(-2)² - 15
f(-2) = 8 - 15
f(-2) = -7
______
Hope it helps :)) ⚜
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type
Answer:
17 pages
Step-by-step explanation:
Let L = number of pages printed Larger type
S = number of pages printed smaller type
the article is allow 21 full pages in a magazine. -->L + S = 21
1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)
18L + 24S = 480
Solve:
L + S = 21
18L + 24S = 480
we can use elimination by eliminating 18L so we can isolate the value of S
-18 (L + S = 21)
18L + 24S = 480
-18L - 18S = 378
18L + 24S = 480
6S = 102
S = 17
using oliver's table, how can you find the unit rate
The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.
How to find the unit rate?From the given table and graph, we see that;
Number of strides taken is on the x-axis.
Distance covered for each respective number of strides is on the y-axis.
Now, the rate will be;
Rate = Change in Distance covered/Change in number of strides
Thus;
Rate = (14 - 7)/(4 - 2)
Rate = 7/2
Rate = 3.5 ft per strides
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Answer:
Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.
Step-by-step explanation:
Please help me please
1. she makes a profit
2.300$
3.25%
C.
1.3000$
2.9000$
ok done. Thank to me :>
I'M CONFUSED can anyone explain how to solve/do this ?
Answer:
The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train. As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.
Step-by-step explanation:
PLS SOMEONE HELP PLSSS
Answer:
x=17
Step-by-step explanation:
ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.
now we can set up the equation to find x like this:
29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)
x=17
the total surface area of an cube is 294cm2 work out the volume of the cube
Answer:
343 cm³
Step-by-step explanation:
V = 343 cm³
Surface A = 294 cm²
Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160. 16 $165. 00 $170. 50 $174. 46.
Answer:
$160.16
Step-by-step explanation:
Well first you need to find 12% of 143.
100%=143
10%=14.3
2%=2.86
12%=17.16
Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.
SOMEONE PLEASE BE FAST!!! Which pair of fractions and mixed numbers have a common denominator of 42?
Three and two-thirds and Five-sevenths
Two and one-sixth and Three-fourths
Five and three-fourteenths and One-fifth
One and four-sevenths and Five-eighths
Answer:
It's the first one. Why?
I converted all the mixed fraction into simplified form.
3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] + [tex]\frac{5}{7}[/tex]
I divided the denominator of 11/3 by 42. 42/3=14
and 5/7. 42/7, which is 6.
So I concluded the first answer was right because it didn't work out for the other variables.
I hope the answer was right, and I hope you have a great day luv. Bye!
Please help me please help meeee
Answer:
for the first one the answer is 65.94 and for the second one its 50.27
Step-by-step explanation:
to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer
solve pls brainliest
Answer:
$6.75
Step-by-step explanation:
try try serving it's ok glad to help
Urgently please it is due today
Answer:
1/4.
Step-by-step explanation:
There are 12 possible outcomes.
There are are 3 outcomes represented by 4B.
So required probability = 3/12 = 1/4.
How do I solve this :
3x + y= 1 and x - 2y = 5
Answer:
(1,-2)
Step-by-step explanation:
x - 2y = 5
3x + y= 1 (1)
x - 2y = 5
x = 5 + 2y (2)
Substitute (2) into (1)
3x + y = 1
3(5 + 2y) +y = 1
15 + 6y + y = 1
15 + 7y = 1
7y = 1 - 15
7y = -14
y = -2 (3)
Plug (3) into (1) to find x
3x + y = 1
3x + (-2) = 1
3x - 2 = 1
3x = 3
x = 1
(1,-2)
Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply. The prediction is reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. A prediction cannot be made for a man who is 80 inches tall. A man who is 80 inches tall will likely wear a size 12. 5 shoe.
Answer:
A and C
Step-by-step explanation:
A. The prediction is reasonable.
C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.
__________________________________________________________
Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.
find all of the remaining angles
Step-by-step explanation:
angle 1 = 73°
angle 2 = 107°
angle 3 = 73°
angle 4 = 107°
angle 5 = 73°.
hope this helps you.
6 friends paid for a parking ticket each. Each ticket had a surcharge extra of $11 per ticket. The total they paid for their parking was $186. What was the price of each ticket without the surcharge?
Answer:
$20
Step-by-step explanation:
Money paid with surcharge by 6 friends = $ 186
Money paid with surcharge by a friend = 186 ÷ 6 = $ 31
Money paid by each friend without surcharge = 31 - 11 = $ 20
Somebody, please help me with this MATH question.
Can you write 8x=1 as a quadratic equation?
Answer:
yes
Step-by-step explanation:
The root of the given linear equation can be made to be a repeated root of a quadratic equation:
(8x -1)² = 0
the product of two irrational numbers is _____ rational
1.always
2.never
3.sometimes
Answer:
3. sometimes
Step-by-step explanation:
The product of two irrational numbers is sometimes rational. It depends on the two given numbers.
Can someone help me out with this please
Answer:
a. $4200
b. $32,300
c. $5814
d. $30,686
e. 2557.17
Step-by-step explanation:
a.The man can claim all of the allowances shown in the problem statement, except the single person's allowance.
total allowances = married + young child + child in school + dependent relative
total allowances = $2400 +500 +1000 +300 = $4200
__
b.The man's taxable income is his income after allowances have been deducted:
taxable income = gross income - allowances
taxable income = $36,500 -4,200 = $32,300
__
c.The tax is found by multiplying the tax rate by the taxable income.
tax = (tax rate) ×(taxable income)
tax = 0.18 × $32,300 = $5,814
__
d.The net income is the gross income less the taxes paid.
net income = gross income - tax paid
net income = $36,500 -5,814 = $30,686
__
e.The man's net monthly salary will be 1/12 of his annual net income.
net monthly salary = $30,686/12 ≈ $2,557.17
What is 93x43 please show your work.
Answer:
The answer is 3,999
Step-by-step explanation:
93 x 43 = 3,999
brainliest :)
Triangle JKL has the following measures:
Side JK = 4 cm
Side KL = 7 cm
Angle J = 38°
Triangle PQR has the following measures:
Side QR = 7 cm
Side PQ = 4 cm
Angle Q = 38°
Which statement is accurate about triangles JKL and PQR?
A. They are not congruent
B. They are based on AAS criteria
C. They are based on SSS criteria
D. They are based on SAS criteria
The triangles are not congruent.
Option A is correct.