Answer:
10 or 40
Step-by-step explanation:
We have the following equation
-4d²+200d-100= 1500
We want all the non zero on one side and so we subtract 1500
-4d²+200d-1600=0
Solve for d
4( -d²+50d-400)=0
factor (I can explain this part in depth if needed)
4(d-40)(d-10)=0
d=40
d=10
This means that the price either needs to be 40 or 10 dollars
The prices at which the theater would earn $1,500 in profit from the comedy show each weekend are $10 and $40 both.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For this case, the profit function is specified as:
[tex]\small p\left(d\right)=-4d^2+200d-100[/tex]
where d denotes the price of each ticket of the theater.
We need such value of d, for which the profit evaluates to $1500
Since output of the expression is denoted by p(d), putting p(d) = 1500 gives us:
[tex]1500=p(d)\\1500=-4d^2+200d-100\\4d^2 - 200d + 1600 = 0\\d^2 -50d + 400 = 0\\d^2 - 40d - 10d + 400 = 0\\d(d-40) -10(d-40) = 0\\(d-10)(d-40) = 0\\\\[/tex]
This comes as 0 either because of (d-10) =0 or (d-40)=0 or both which means d =10 or d = 40 or both.
Checking both values of d and seeing if profit comes out at 1500, we get:
Case 1: d = 10:[tex]\small p\left(d\right)=-4d^2+200d-100\\p(10) = -4(10^2) + 200\times 10- 100\\p(10) = -400 + 2000 - 100 = 1500[/tex] (in dollars)
Case 2: d=40:[tex]\small p\left(d\right)=-4d^2+200d-100\\p(40) = -4(40)^2 + 200 \times 40 - 100\\p(40) = -6400 + 8000 - 100\\p(40) = 1500[/tex]
Thus, both prices of the ticket (as of $10 for each ticket and of $40 for each ticket) makes the theater earn $1500 as profit. (well since profits are same, keeping price at $10 would be good for general conditions)
Learn more about solving quadratic equations here:
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if 36 is exactly divisible by a then the gcd of 36 and is
The value of Greatest common divisor of 36 and a is a.
Here, 36 is exactly divisible by a.
What is Greatest common divisor?
The Greatest common divisor of two or more integers, which is not all zero, is the largest positive integer that divides each of integers.
Now, LCM of 36 and a;
36 = 2 x 2 x 3 x 3
a = 1 x a
Since, a divide 36 then the possible value of a are 2, 3, 4
⇒ gcd of 36 and possible value of a is given as;
⇒2, 3, 4
Clearly,
Greatest common divisor of 36 and a = a
Hence, The value of Greatest common divisor of 36 and a is a.
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Plssssssssssz help I need the answers plsssss
Box A has 2 rectangles with base 10 inches and height 4 inches. It has 2 rectangles with base 10 inches and height 3 inches. It has 2 rectangles with base 3 inches and height 4 inches. Box B has 2 rectangles with base 6 inches and height 5 inches. A rectangle with base 6 inches and height 8 inches. 2 triangles with base 8 inches and height 3 inches.
A shipping company is designing new cardboard packages to sell to customers. The options are a rectangular prism, Box A, or a triangular prism, Box B.
Which box is made with less cardboard?
PLS HELP I WILL GIVE BRAINLYEST
Answer:
Box A
Step-by-step explanation:
(-12)+(-18)+(-30) simplify this question
Answer:
-60
Step-by-step explanation:
Well just follow the equation from left to right
Add it all up.
what is 2/3 ÷ 4/5
2/3
5/6
1 1/5
3 1/3
Answer:
5/6
Step-by-step explanation:
mental math
What is the expression for the perimeter of this rectangle.
Answer: y^2 -5 + y^2 -5 + 3y^2+7y+8 + 3y^2+7y+8
Step-by-step explanation: The order doesn't matter but... its just the sides added up together. Its a rectangle so the opposites are equal. You were given 2 sides and thats all you need, just repeat it. L plus l plus w plus w is there.
Answer:
P= 8y^2+14y+6
Step-by-step explanation:
Multiply the given expressions by 2.
Then add your two products together.
Based on the slopes of the side of the quadrilateral. Is this shape a trapezoid?
the slopes of the sides do not matter. It's the fact that AD and BC are parallel and AB and DC are NOT parallel that determines it to be a trapezoid.
Answer:
Yes
Step-by-step explanation:
I believe it would be :) sorry if it's wrong I'm just a 8th grader
A stock is currently selling for $50.00 per share and it pays a dividend of $2.00 a share per year then the dividend yield is what percent?
Answer:
4%
Step-by-step explanation:
Calculation to determine what the dividend yield percent is
Using this formula
Dividend yield=Annual Dividend per share ÷Current stock price per share
Let plug in the formula
Dividend yield=$2.00/$50.00
Dividend yield=0.04*100
Dividend yield=4%
Therefore the dividend yield percent is 4%
The area please I’m so confused
Xochitl bought 5 shirts all for the same price.
After using a coupon that took $10 off the
total price, her total before tax was $35. What
was the cost of each shirt?
Answer:
Each shirt costed 9 dollars.
Step-by-step explanation:
35+10=45 (initial price)
45/5=9 dollars per shirt
Consider the expression.
– (x + 3) – 2(4x – 3)
Which procedure correctly simplifies the expression?
A.
Step 1: –x + 3 – 8x + 6
Step 2: –9x + 9
B.
Step 1: –x – 3 – 8x – 3
Step 2: –9x – 6
C.
Step 1: –x – 3 – 8x – 6
Step 2: –9x – 6
D.
Step 1: –x – 3 – 8x + 6
Step 2: –9x + 3
Answer:
D
Step-by-step explanation:
Given
- (x + 3) - 2(4x - 3) ← distribute both parenthesis
step 1
= - x - 3 - 8x + 6 ← collect like terms
step 2
= - 9x + 3
what is the measure of QRS in this diagram?
A. 48
B. 42
C. 47
D. 41
don’t have much time help needed
Answer:
the answer is d 41
Step-by-step explanation:
What is the two ratios equivalent to 7/8
Use algebra to find the measure of the angles in the pair of complementary angles below. Show your work.
Answer:
18 and 72
Step-by-step explanation:
4x+x=90
5x=90
divided by 5
x=18
for the first side, since you only have x, you put 18
for the second one, since 4x, 4(18)=72
hope this helps!
suppose f(x)=x^2 -8 evaluate f(2)-f(3)
Answer:
f(2)= -4 f(3)= 1
Step-by-step explanation:
Giving brainlist to whoever answers
A shirt sale for 10$ after discount 20% find the original price
Answer:
$12.50
Step-by-step explanation:
100%-20% -> $10
80% -> $10
100% -> [tex]\frac{100}{80}[/tex] × $10 = $12.50
Answer:
The original price was $12
30 POINTS !!
Which dimensions can create only one unique triangle?
three angles measuring 75 degrees, 45 degrees, and 50 degrees
three sides measuring 14 m, 11 m, and 18 m
three angles measuring 40 degrees, 50 degrees, and 60 degrees
three sides measuring 3 cm, 4 cm, and 8 cm
What is the circumference of the circle? Use StartFraction 22 over 7 EndFraction for Pi.
A circle with radius 21 centimeters.
44 cm
66 cm
132 cm
154 cm
Figure FGHJ is shown below.
Figure F G H J has 4 sides. Sides F J and G H are congruent and parallel, and sides G F and H J are congruent and parallel. Angles G and J are 130 degrees.
Which names accurately describe figure FGHJ? Select two options.
parallelogram
quadrilateral
rectangle
rhombus
trapezoid
Answer:
1. 14m, 11, 18m
2. 132 (rounded from 131.946)
3. Quadrilateral (duh it has 4 sides) and a rhombus?
Step-by-step explanation:
1 a unique triangle is a triangle with side lengths that are ALMOST exactly like a triangle. I used the pyragothem theory (a^2 + b^2 equals c^2) and this one was soo close to 18 (17.8)
2 the equation for the circumference of a circle is C=dpi. the radius is half of the diameter so 21 time 2 is 42 then multi[ply by pi.
3 is definitely already a quadrilateral (all of them have 4 sides) and the only shade i can think of that can have a 130 degrees for 2 angles would be a longgg rhombus ( or diamond)
2/5y + 1/2y = ???
help please.
Answer:
9/10y
Step-by-step explanation:
Somewhat inconclusive hope this helps!
Answer:
[tex]\frac{9}{10} y[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}y +\frac{1}{2} y\\\\\frac{4}{10}y +\frac{5}{10} y\\\\\frac{9}{10} y[/tex]
Melanie is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if she spins a spinner
with three equal-sized sections labeled Walk, Run, Stop and spins a spinner with four
equal-sized sections labeled Red, Green, Blue, Orange?
Answer:
12 possible outcomes
Step-by-step explanation:
If she's spinning them at the same time, this is how you do it:
There are 3 possible outcomes on the first spinner- Walk, Run, and Stop.
There are 4 outcomes on the second spinner- Red, Green, Blue, and Orange.
Since they're being spun at the same time, we need to consider all of the possible combinations, for example:
Walk & Red.
Walk & Green.
Walk & Blue.
Walk & Orange.
And so on. Each outcome on the first gets multiplied by 4, since there are 4 sections on the 2nd spinner. Same thing if you did it and switched- the 4 sections on the second spinner would each have 3 different outcomes.
In conclusion, you'd just multiply 3×4, and there you go. Or, you can think of it as 4+4+4, if that's a little easier to understand.
BRAINIEST TO WHIVER RIGHT HELP
A window washer cleaned 32 windows in 2 hours at this rate how many windows did he clean in 6 hours?
Answer:
96 windows
Step-by-step explanation:
[tex]\frac{32}{2} =\frac{x}{6} \\\\2x=192\\x=96[/tex]
Answer:
96
Step-by-step explanation:
ANyone know the answer to this???
Answer:
Step-by-step explanation:
i) the solutions are the two x-intercepts, where y = 0.
One such intercept is (-1/4, 0) and the other is at (5/4, 0). In other words, the solutions are x = -1/4 and x = 5/4.
ii) To solve this, we draw a line through y = 2 and determine the x values at which the graph crosses this line.
They are x = -1 and x = 3.
Can anyone help me with this math problem plss?
Answer:
14/24 ( simplified = 7/12)
Step-by-step explanation:
to find this we multiply the fractions 2/3 and 7/8
7/8 x 2/3 = 14/24
So Shannon ate 14/24 lb
You can simplify to = 7/12
Geometry help please. What is the perimeter of the larger square?
Answer:
Step-by-step explanation:
ratio of sides=8/3
perimeter of larger square=8/3 ×12=32 mm
Find/solve for x in the image above
Answer:
Step-by-step explanation:
Simply we know this is an isosceles triangle meaning that:
The other angle is also 35.
With this information, we can say that as a triangle adds up to 180, we can put this in a formula:
x+35+35 = 180
x+70 = 180
x = 110
12 in
9 in
What is the surface area of the triangular
prism shown?
10 in
576 in2
540 in 2
468 in2
700 in 2
5 thousand with alot of zeros
Determinar el espacio muestral de los siguientes experimentos aleatorio a) lanzar tres monedas simultaneas.
Answer:
asi
Step-by-stepnasi
asiwe sfefo :V
how do you write an equation for the graph of y=cos x translated up 2 units and left pi units
Step-by-step explanation:
how do you write an equation for the graph of y=cos x translated up 2 units and left pi units
Felicia got a designer job with a company that pay $55,000/year. What is Felicia's gross monthly income
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 4583.33$
Explanation:
55000 / 12
I hope this helped!
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- Zack Slocum
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