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
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 )
A rec Eric Tangler prism as shown to have of 4 cm x 2 cm x 3 cm area
Sue is two years older then Lily who is twice as old as Heather. if the total ages of all the girls is 27, how old is each girl?
Answer:
sue = 12
lily = 10
heather = 5
Step-by-step explanation:
'l' = lily's age
'h' = heather's age
sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'
l = 2h
2h+2 + 2h + h = 27
5h = 25
h = 5
l = 2(5) = 10
sue is 10+ 2, or 12
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
Feel free to mark as brainliest :D
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:
the town halls of havertville and north town are shown on the map if the distance between grid lines represents 1 mile what is the distance between the two town halls? round your answer to the nearest tenth
Answer:
7.2 miles
Step-by-step explanation:
See comment for complete question.
Let:
[tex](x,y) \to Havertville[/tex]
Northtown will be represented as:
[tex](x+6,y+4)[/tex] --- i.e 6 units right and 4 units up
The distance both is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives:
[tex]d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}[/tex]
Remove brackets
[tex]d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}[/tex]
Evaluate like terms
[tex]d = \sqrt{(-6)^2 + (-4)^2}[/tex]
[tex]d = \sqrt{36 + 16}[/tex]
[tex]d = \sqrt{52}[/tex]
[tex]d = 7.2\ units[/tex] -- approximated
From the question, we understand that:
[tex]1\ unit = \ mile[/tex]
So:
[tex]d = 7.2\ miles[/tex]
Which of the following is a rational number
answer:
a. √36
step-by-step explanation:
a rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions√36 = rational — the answer to this is 6 and it is a whole number
-√12 = -3.46410161514... — it is repeating without an order so irrational
5/0 = irrational — the denominator cannot be a 0
π = irrational — pi is always irrational
log(2x+5)+10=13 SHOW WORK PLEASE
Answer:
x = 497.5
Step-by-step explanation:
that's the correct answer with solution
A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.034 oz, what is the height of the mug to the nearest centimeter?
A. 13 cm
B. 9 cm
C. 11 cm
D. 7 cm
What is 3x + y = 11 ir slope-intercept form?
Answer:
y= –3x+11
Step-by-step explanation:
hope it helps...
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
Can you please Solve for x?
tan( 31 ) = x / 39
0.600860619 = x / 39
x = 0.600860619 × 39
x = 23.433564141
______________________________
Round to the nearest tenth :
x = 23.4
Round to the nearest hundredth :
x = 23.43
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
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
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
What is x times -3 ?
Answer:
-x3
Step-by-step explanation:
its simple x = 1
Answer:
-3x
Step-by-step explanation:
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!
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 sum of the first 30 terms for the given arithmetic sequence.
8, 1, -6, -13,...
-3107
-2805
-1705
-2508
Answer:
Step-by-step explanation:
Find the last term of the sequence.
a1 = 8
d = -7
n = 30
a30 = 8 + (n - 1)*(-7)
a30 = 8 + (30 - 1)*-7
a30 = 8 + 29*-7
a30 = 8 - 203
a30 = -195
Sum = (a + L)*n/2
Sum = (8 + -195) * 30/2
Sum = - 187 * 15
Sum = - 2805
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;
https://brainly.com/question/19634536
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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
simplify 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
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
Item 4
Find the surface area of the prism.
The surface area is
a
square feet.
Answer:
xnxnxnzznchamschdntjekdfurnthsjdnfjdjdjdkdkr
Step-by-step explanation:
xmxmxnxmxmxnxmxnxndmsndfhakxufmrjdkxddjrf7sjrifxisufkf8dhrkfdkshgshdbfjdddnfjfkdnfmcmcmdmdkfkfkkfdkfkfkfkfkfkfkfkkfkfkfkfkfkdkdkdmdkdkdkdkdmdmrmddmrm1520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126
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
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
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.
https://brainly.com/question/22746300
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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.