A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.
Answer:
[tex](a)\ t^2 - 20t + 75= 0[/tex]
[tex](b)[/tex] [tex]t = 5; t -=15[/tex]
Step-by-step explanation:
Given
[tex]p(t) = t^2 - 20t + 175[/tex]
Solving (a): Equation when profit = 100.
This implies that:
[tex]p(t) =100[/tex]
So, we have:
[tex]100 = t^2 - 20t + 175[/tex]
Rewrite as:
[tex]t^2 - 20t + 175 - 100 = 0[/tex]
[tex]t^2 - 20t + 75= 0[/tex]
Solving (b): Calculate t, in (a)
In a, we have:
[tex]t^2 - 20t + 75= 0[/tex]
Expand
[tex]t^2 - 15t -5t + 75= 0[/tex]
Factorize
[tex]t(t - 15) -5(t - 15)= 0[/tex]
Factor out t - 15
[tex](t - 5)(t - 15)= 0[/tex]
Split
[tex]t - 5 = 0; t - 15 =0[/tex]
Solve
[tex]t = 5; t -=15[/tex]
The prices are $5 and $15, respectively
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Answer:
-8 or -5
Step-by-step explanation:
Item 4
Find the surface area of the prism.
The surface area is
a
square feet.
Answer:
xnxnxnzznchamschdntjekdfurnthsjdnfjdjdjdkdkr
Step-by-step explanation:
xmxmxnxmxmxnxmxnxndmsndfhakxufmrjdkxddjrf7sjrifxisufkf8dhrkfdkshgshdbfjdddnfjfkdnfmcmcmdmdkfkfkkfdkfkfkfkfkfkfkfkkfkfkfkfkfkdkdkdmdkdkdkdkdmdmrmddmrm1520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
A quantity of tea is sold at Rs 48 per kg at a profit of 20%. The total gain is RS90 .What is the quantity of tea sold?
Answer:
1.875kg
Step-by-step explanation:
48 - 1000g
90 - x
48x = 90000
x = 90000/48
= 1875g = 1.875kg
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Find the arc length of XY. Round to the nearest hundredth.
Answer:
12.22
Step-by-step explanation:
Use arc length formula in degrees
(70/360) x 2 x pi x 10
agregenme o baneo la preguntta
Answer:
translate; Assault me or ban the question
Step-by-step explanation:
Write an equation of the line that passes through (0,9) and is parallel to the line y = 8x+7.
Answer:
[tex]y=8x+9[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopes and different y-intercepts1) Determine the slope
[tex]y = 8x+7[/tex]
From the given equation, we can identify 8 to be in the place of m, making 8 the slope. Because parallel lines always have the same slopes, the line we're currently solving for will also have a slope of 8. Plug this into [tex]y=mx+b[/tex]:
[tex]y=8x+b[/tex]
2) Determine the y-intercept
[tex]y=8x+b[/tex]
The y-intercept occurs when x=0. The given point is (0,9), telling us the the y-intercept is 9. Plug this into [tex]y=8x+b[/tex]:
[tex]y=8x+9[/tex]
I hope this helps!
A rec Eric Tangler prism as shown to have of 4 cm x 2 cm x 3 cm area
PICTURE INCLUDED!
A circle has a center point (4,1 and a point on the circle edge of (9, 1)
Answer:
3rd choice
Step-by-step explanation:
i found it from online
The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.
Answer:
The two number are 9 and 13
Step-by-step explanation:
9-4=5
9+4=13 and 13*13is 169
The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.
(a) Compare the populations using measures of center and variation.
(b) Express the difference the measures of center as a multiple of each measure of variation.
Answer:
Kindly check explanation
Step-by-step explanation:
Using the Median (measure of center) and range
Room 212 :
Median = 20
Range = maximum - minimum = (22 - 15) = 7
Interquartile range = Q3 - Q1
Q3 = 21
Q1 = 19
IQR = 21 - 19 = 2
ROOM 214 :
Median = 22
Range = maximum - minimum = (25 - 16) = 9
Interquartile range = Q3 - Q1
Q3 = 23
Q1 = 20
IQR = 23 - 20 = 3
A recipe requires only blueberries and strawberries. This list shows the amounts required for 1/4 of the whole recipe: 1/2 cup blueberries 2/5 cup strawberries In this table, select the number of cups of blueberries and the number of cups of strawberries required for the whole recipe.HELP ASAP
The whole recipe requires 1/2 cup of blueberries and 2/5 cup of strawberries.
To find the amounts required for the whole recipe, we can multiply the amounts required for 1/4 of the recipe by 4:
For blueberries:
1/4 x 4 x 1/2 = 1/2 cups
So, the whole recipe requires 1/2 cup of blueberries.
For strawberries:
1/4 x 4 x 2/5 = 8/20 = 2/5 cups
So, the whole recipe requires 2/5 cups of strawberries.
Therefore, the whole recipe requires 1/2 cup of blueberries and 2/5 cups of strawberries.
To learn more about multiplication;
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The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and
QS = 10 , find RT.
Can someone help pleasee
Answer:
10
Step-by-step explanation:
The diagonals of a rectangle are congruent.
RT = QS = 10
Answer: RT = 10
Answer:
Your answer should be 10.
Step-by-step explanation:
In order for a quadrilateral to be classified as a rectangle, BOTH diagonals must be congruent. Otherwise, the quadrilateral cannot be classified as a rectangle. Hope this helps you out!
What is 3x + y = 11 ir slope-intercept form?
Answer:
y= –3x+11
Step-by-step explanation:
hope it helps...
HELP ME PLZPLZPZLZLZLZ
Answer:
sin x° = Opposite / Hypotenuse
x = 3.38
Step-by-step explanation:
sin 70° = x / 3.6
sin 70° × 3.6 = x
x = 0.93969262079 × 3.6
x = 3.38289343483 ~ 3.38
which is greater ? -9/13 and-7/12 or. -8/9 and -9/10
Answer:
-8/9 and -9/10 is greater
Step-by-step explanation:
Answer:
greatest is -8 / 9 and - 9 / 10
Step-by-step explanation:
-7/ 12 is greater than -9 / 13
-8 /9 and -9 / 10 are equal because
-8/9 = 0.888 if we round off it's 0.9
and - 9 / 10 is 0.9 so that's why they are equal to each other
Hope this answer helps you :)
Have a great day
Mark brainliest
log(2x+5)+10=13 SHOW WORK PLEASE
Answer:
x = 497.5
Step-by-step explanation:
that's the correct answer with solution
Brainliest for correct answer! :)
Answer:
280
Step-by-step explanation:
What is the area of the hexagon? 5 cm 8 cm 9.28 cm
Answer:
57.12 cm²
Step-by-step explanation:
The given dimensions of the hexagon are;
The side length of the hexagon, s = 5 cm
The distance across flats = 8 cm
The distance across corners = 9.28 cm
The area of a regular hexagon, 'A', is given as follows;
[tex]A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h[/tex]
Where;
a = The side length of the hexagon
P = The perimeter of the hexagon
h = The height of one of the triangles in the hexagon
However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle
A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²
A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂
The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂
∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²
2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²
The area of the hexagon, A = 57.12 cm²
find the slop if the line through each pair of points (-13,1),(-16,1)
Answer:
[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]
Answer:
Slope is 0
Step-by-step explanation:
Let A and B be the two non-right angles in a right triangle.
Answer:
Step-by-step explanation:
adjacent=5 ,hypotenuse13 opposite=?
hypotenuse^2=opposite^2+adjacent^2
13^2=opposite^2+5^2
169-25=opposite^2
[tex]\sqrt144[/tex]=opposite
12=opposite
SinA=opposite/hypotenuse
12/13
therefore sinA =`12/13
In circle E with m DEF 36 and DE = 3 units find area of
sector DEF. Round to the nearest hundredth.
E
Answer:
A ≈ 2.83 units²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{36}{360}[/tex]
= π × 3² × [tex]\frac{1}{10}[/tex]
= [tex]\frac{9\pi }{10}[/tex]
≈ 2.83 units² ( to the nearest hundredth )
I need help please I don’t understand it :(
Answer:
[tex](8)[/tex] → [tex]x-(8+2)[/tex]
[tex](9)[/tex] → [tex]x+(8-2)[/tex]
[tex](6)[/tex] → [tex]5-n[/tex]
[tex](5)[/tex] → [tex]8-x[/tex]
[tex](2)[/tex] → [tex]5-n[/tex]
[tex](7)[/tex] → [tex]x+(5+7)[/tex]
[tex](4)[/tex] → [tex]x-8[/tex]
[tex](10)[/tex] → [tex]x+x[/tex]
[tex](1)[/tex] → [tex]n+5[/tex]
[tex](3)[/tex] → [tex]x+8[/tex]
-------------------------
hope it helps...
have a great day!!
find the volume of a cylinder with a radius of 12 cm and a height of 20 cm show work
Step-by-step explanation:
the volume = 3.14×12²×20
= 9043.2 cm³
3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?
Step-by-step explanation:
Given :-
Two consecutive odd integers can be modeled by n and n + 2, where n is anodd integer. The sum of two consecutive odd integers is 80.=> n + n +2 = 80
=> 2n + 2 = 80
=> 2n = 78
=> n = 78 ÷ 2
=> n = 39
numbers = 39 &41simplify 4x^2+2x/x^2+x-2/8x^2+4x/3x^2+10x+8
Answer:
[tex]\frac{4x^{3} }{3} +\frac{15x^{2} }{4} +11x+\frac{2}{x} +8[/tex]
Step-by-step explanation:
Answer:
3x+4/2(x-1)
Step-by-step explanation:
I took the quiz
Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table. Fish caught Frequency 0 2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data. Hover over each number on the number line. Then click and drag up to create the dots.
Answer:
Step-by-step explanation:
The dot plot of the recorded data in the frequency table is given below.
What is a dot plot?A speck plot, otherwise called a strip plot or dab diagram, is a straightforward type of information perception that comprises information focuses plotted as spots on a chart with an x-pivot and y-pivot.
Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table.
Fish caught Frequency 0 2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data.
Hover over each number on the number line.
Then click and drag up to create the dots.
The graph is shown below.
More about the dot plot link is given below.
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What is x times -3 ?
Answer:
-x3
Step-by-step explanation:
its simple x = 1
Answer:
-3x
Step-by-step explanation:
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
Answer:
He will have to cut off 1.25 inches.
Step-by-step explanation:
Take 5% of 5 inches
0.05(5)=0.25 inches
5 inches - 0.25 inches= 4.75 inches
4.75 inches is how wide the wood is after it shrinks.
Find how much he needs to cut off
4.75 inches - 3.5 inches=1.25 inches
He will need to cut off 1.25 inches in order for the block to fit exactly.