The best price is $6.50, and the maximum revenue that the school can get is $2,112.50.
Price determinationGiven that the starting price for a ticket for a high school play is $5, and the auditorium capacity is 400 people, and the organizer estimates that for every 10 cent increase in the ticket price 5 fewer people will attend the play, to determine what is the best price and what is the maximum revenue that the school can get, the following calculation must be made:
400 x 5 = 2,000395 x 5.1 = 2,014.5390 x 5.2 = 2028350 x 6 = 2100300 x 7 = 2100325 x 6.5 = 2112.5320 x 6.6 = 2112330 x 6.4 = 2112Therefore, the best price is $6.50, and the maximum revenue that the school can get is $2,112.50.
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34. Is this polygon it is convex or concave.
Individuals of the same approximate weight running 6 mph or 1 mile every ten minutes have a calorie use factor of 62% of their weight; i.E., calories burned = (weight)(0.62). If they run an 8-minute mile, the factor is 65%. A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?
Answer: He has used up 117 calories.
Step-by-step explanation:
Given, For 62% as factor, calories burned (E)= (weight)(0.62).
Also, if they run an 8-minute mile, the factor is 65%. [given]
Then, calories burned (E)= (weight)(0.65). [65%=0.65]
Weight of man = 180 lb
Then, calories burned (E)= 180 x (0.65).
= 117
Thus , he burned 117 calories.
So, he has used up 117 calories.
The measure of angle Q is 70 degrees. Find the measure of angle P.
Answer:40
Step-by-step explanation: because 70 times 2 = 140 and you add 40 will equal 180 because every triangle equals 180
The measure of angle m<P is 40 degrees
The given triangle is an isosceles triangle where:
m<R = m<Q
Taking the sum of the interior angles, we will have:
m<P + ,m<Q + m<R = 180
70 + 70 + m<P = 180
m<P = 180 - 140
m<P= 40 degrees
Hence the measure of angle m<P is 40 degrees
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Convert 14x + 6y = 36 to Y intercept form.
Answer:
0,6
Step-by-step explanation:
Answer: Y= -7/3x + 6
Are the lines y=0 and x=0 parallel?
Answer:
No, these equations are not parallel.
Step-by-step explanation:
The equation [tex]y=0[/tex] is a vertical line. This equation, in fact, is the y-axis.
The equation [tex]x=0[/tex] is a horizontal line. This equation, in fact, is the x-axis.
These lines are perpendicular, not parallel.
A 160-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
PLEASE HELP
Let the shorter piece be x. The longer piece is 4 times the length of the other, so it is 4x.
4x + x = 160.
5x = 160
x = 32
4x = 128
The length of the shorter piece is x, which is 32.
32 inchesSuppose you decide to run at least 7.5 miles per week during the week to train for the cross-country season in the fall. During one week, you run 2 miles on Sunday and 2.5 miles on Wednesday. How many more miles, m, do you need to run before the week is over? *
Given :
You decide to run at least 7.5 miles per week during the week to train for the cross-country season in the fall.
During one week, you run 2 miles on Sunday and 2.5 miles on Wednesday.
To Find :
How many more miles, m, do you need to run before the week is over.
Solution :
Total number of miles we travelled till Wednesday :
t = miles run on Sunday + miles run on Wednesday
t = 2 + 2.5 miles = 4.5 miles.
Now, number of miles remaining :
R = Total target - t
R = 7.5 - 4.5 miles
R = 3 miles.
Therefore, we need to run 3 more miles before the week is over.
Hence, this is the required solution.
HELPP 5 POINTS Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (4-0)/(0-(-8))
m = 4/8
y = mx + c
4 = (4/8)(0) + c
c = 4
Thus, the equation is y = (4/8)x + 4
y=2x+1 and y=3x.
At what x-values are the equations equal?
x = 1 and x = 3
x = 0 and x = 1
x = 1 and x = -1
x = 2 and x = 3
Answer:
x = 1 and x = 3
Step-by-step explanation:
Let's solve your system by substitution.
y=2x+1;y=3x
Step: Solvey=2x+1for y:
y=2x+1
Step: Substitute2x+1foryiny=3x:
y=3x
2x+1=3x
2x+1+−3x=3x+−3x(Add -3x to both sides)
−x+1=0
−x+1+−1=0+−1(Add -1 to both sides)
−x=−1
−x
−1
=
−1
−1
(Divide both sides by -1)
x=1
Step: Substitute1forxiny=2x+1:
y=2x+1
y=(2)(1)+1
y=3(Simplify both sides of the equation)
Answer:
x=1 and y=3
what is the median of the data set {23 , 16 , 19 , 17 , 15 , 19 , 17 , 24 }
Answer:
7; 19; 24; 10; 17; 21; 6; 22; 5; 9
Arrange: 5; 5; 6; 7; 9; 10; 17; 19; 21; 22; 24
( 5+5+6+7+9+10+17+19+21+22+24 ) / 11
Mean = 145 / 11
Mean = 13,18
Mode = 5
(5 is the only value that appears most often)
Median = 10
Answer:
Step-by-step explanation: 119.5
Draw a graph of y = 8x. From the graph, find the value of y when x = 1 ...... I need it fast..pls I will mark brainliest.
Answer:
Solving steps:
find the value of y when x = 1
=> y = 8(1)
multiply 8 by 1
=> y = 8
Hey there!
ORIGINAL EQUATION: y = 8x
This one should be quite easy to answer because we already have the value of x. (x = 1) all we have to do is find the y-value and where it is on the number line.
NEW EQUATION: y = 8(1)
SIMPLIFY IT!
y = 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What one does not belong!!! Help
Answer:
the parallel lines
Step-by-step explanation:
the title is classifying angles... the parallel lines don't have an angle so I'm guessing it's the parallel lines
A truck whose bed is 8.5 feet long, 5 feet wide, and 3.5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 400 cubic feet of sand?
Answer:
The truck will need to make 3 trips.
Step-by-step explanation:
First, we need to find the volume that the truck can carry. Using the dimensions of the truck and the volume formula, we have:
[tex]V=lwh\\V=8.5\times5\times3.5\\V=148.75\text{ ft}^3[/tex]
Since we need to move a total of 400 cubic feet, we will divide that amount by the truckload capacity (volume).
[tex]400 \div 148.75 \approx 2.689[/tex]
In context, he will need to take three truck loads: two loads will be full, and the third will not be full.
Susie ran 2.35 kilometers. What is the value of the 3 in 2.35?
A. 3 tens
B. 3 tenths
C. 3 hundredths
D. 3 thousands
Answer:
tenths
Step-by-step explanation:
the 2 is in the ones place and the 5 is in the hundreds meaning the 3 would be in the tenths
How do I put things in standard notation? Please explain :(
Answer:
[tex]in standard notation \: 9 { \times 10}^{ - 4} = 0.0009[/tex]
What is the value of -5^6
Answer:
-15625
Step-by-step explanation:
Hope this helped !! :)
Have a good day.
A computer store is having a sale. A laptop originally cost $700 and is now being sold at a fifth off of the original price. What is the sale price of the laptop?
Answer:
$560
Step-by-step explanation:
1/5th the original price just means 20%
20% of 700 is 140
700*.20= 140
Since it's 20% off that means subtraction
700-140=560
Hope this helps!
Please Answer Number 7
Answer: 32ft²
Step-by-step explanation:
The area of a trapezoid is given by the formula: A = [(b1+b2)/2] x h, where b1 and b2 are the two bases, and h is the height.
In our situation, b1 = 3, and b2 = 5. The height is given as 2.
Plugging these numbers into our formula:
A = (b1+b2)/2 x h
A = [(3+5)/2] x 2
A = (8/2) x 2
A = 4 x 2
A = 8ft²
8ft² is the area of one trapezoid. If Mr. Smith wants to fit 4 of these shapes into the room, the combined area will be 4 x 8 = 32ft².
Have a nice day :)
What equation is equivalent to 5(2p - 6)= 40
5
A church has 3 bells. One rings after every 3 minutes, the other after
every
4
minutes and the third one after every 5 minutes. If they all ring together at
8:00 a.m., at what time will they ring together again?
You
Answer:
9:22
Step-by-step explanation:
Find the LCM Least common multiple of all three numbers (minutes)
3,4,5 LCM is 60
Divide each one into the LCM
60/3 = 20
60/4 = 15
60/5 = 12
Totals =82
add that to the time 8:00
82 is an Hour and 22 minute so it would be 9:22
I looked at other problems and this is how they solved it. I hope it helps
How many triangles can be constructed with side lengths of 1.8 cm, 3.4 cm, and 5.6 cm?
0
1
more than one
Answer: One triangle
Step-by-step explanation:
-The triangle's dimensions are defined and fixed.
-Given the fixed dimensions, only one unique triangle can be constructed.
-Hence, only one triangle of the dimensions 7.2cm, 6.9cm and 12.8 cm can be formed.
Answer:
1
Step-by-step explanation:
The correct shape would be a scalene triangle, which can't be bent and twisted and still have the same side lengths.
11) Ms. Ripa's family is planning to come visiting her from New York. She hopes to take
them to some of the National Parks in Utah while they are here, but she needs to save up to
buy their tickets. Adult tickets are $12 each, and child tickets are $7 each. If she has 5 adults
and 4 children coming to visit, how much money will she need to save up to buy all of their
tickets?
What’s the name of the transformation???
4/7 divided by 2 1/3 = ???
Answer:
[tex]\frac{12}{49}[/tex]
explanation:
Use the keep change flip method. This consists of literally flipping a fraction to make the denominators alike, allowing for faster solves and multiplication.
[tex]2\frac{1}{3}[/tex] is [tex]\frac{7}{3}[/tex], so flip 7/3 so it is 3/7, matching up with 4/7.
Next, multiply.
4 x 3
7 x 7
4 x 3 is 12. Write 12 as a numerator.
7 x 7 is 49. Write 49 as a denominator.
Therefore, the answer is [tex]\frac{12}{49}[/tex]
Simplifying? We cannot simplify this number due to a lack of factors.
A bird flew from a point on the ground directly to the edge of the roof of a building. The
height of the building is 70 feet, and the angle of elevation the bird's flight path made with the
ground is 30°. What is the total distance the bird flew in feet?
The total distance the bird flew in feet is 140 feet
Angle of elevation and depressionGiven the following parameters
The angle of elevation = 30 degrees
Height = 70 feet
Requiredtotal distance the bird flew in feet (D)
Using the SOH CAH TOA identity
sin 30 = 70/D
D = 70/sin30
D = 140eet
Hence the total distance the bird flew in feet is 140 feet
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Find the value of x: 4/5 (x+7) =20
(4/5 is a fraction not a division)
Answer: 18
Step-by-step explanation:
WHOEVER ANSWERS FIRST WILL BE MARKED BRAINEST
Answer:
[tex]5(n + 4)^{\frac{3}{2} }[/tex]
I hope this helps!
prove that 1-tan^2x/1+tan^2x=2cos^2x-1
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sin²x + cos²x = 1
Consider the left side
[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]
= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ← multiply numerator/ denominator of the whole fraction by cos²x
= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex]
= [tex]\frac{cos^2x-sin^2x}{1}[/tex]
= cos²x - sin²x
= cos²x - (1 - cos²x)
= cos²x - 1 + cos²x
= 2cos²x - 1
= right side , thus proven
[tex]\frac{1 - \tan^2(x)}{1 + \tan^2(x)}\\= \frac{\frac{\cos^2(x)}{\cos^2(x)} - \frac{\sin^2(x)}{\cos^2(x)}}{\frac{\cos^2(x)}{\cos^2(x)} + \frac{\sin^2(x)}{\cos^2(x)}}\\= \frac{\frac{\cos^2(x) - \sin^2(x)}{\cos^2(x)}}{\frac{\cos^2(x) + \sin^2(x)}{\cos^2(x)}}\\= \frac{\cos^2(x) - \sin^2(x)}{\cos^2(x)} \cdot \frac{\cos^2(x)}{\cos^2(x) + \sin^2(x)}\\= \frac{(\cos^2(x) - \sin^2(x)) \cdot \cos^2(x)}{\cos^2(x) \cdot (\cos^2(x) + \sin^2(x))}\\= \frac{\cos^2(x) - \sin^2(x)}{\cos^2(x) + \sin^2(x)}[/tex]
[tex]= \cos^2(x) - \sin^2(x)\\= \cos^2(x) - (1 - \cos^2(x))\\= \cos^2(x) - 1 + \cos^2(x)\\= 2\cos^2(x) - 1[/tex]
Determine the unit rate of a marathon runner who travels 9/2 miles in 3/4 hour.
Answer:
The marathon runner runs 1 mile every 10 minutes.
Step-by-step explanation:
9/2 miles is equal to 4.5 miles. 3/4 hours is equal to 45 minutes.
HELP PLS find measure of w in this trapezoid
Answer:
m<w= 36°
Step-by-step explanation:
Step 1) Applying geometric and algebraic knowledge, the two angles to the left are both 90, and equal to 180. If you add those two angles and the 146°, you will be given 326 in total.
90+90= 180 +146 = 326
Step 2) With knowledge that the sum of all interior angles inside of a quadrilateral add up to 360, subtract 326 from this.
360-326=36
Final product: m<w=36°