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:

aX²+bX+c=0

a=1

b=-8

c=12

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x  + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet

Answer:

25.08

Step-by-step explanation:

330 x .076=25.08

Answer:

12 inches

Step-by-step explanation:

5 + 5 = 10

34 - 10 = 24

24 ÷ 2 = 12

Therefore, the answer is 12 inches.

Answer:

16^¼=2

Step-by-step explanation:

16^¼=⁴√16

so, 2⁴=16

so it's 2,

verification

2×2×2×2=16

Answer:

2

Step-by-step explanation:

Answer:

The surface area of the cylinder is of 131.947 square meters.

Step-by-step explanation:

Surface area of a cylinder:

The surface area of a cylinder of height h and radius r is given by the following equation:

[tex]S_a = 2\pi r(h+r)[/tex]

What is the surface area of the cylinder with a height of 3 m and radius of 4 m?

[tex]h = 3, r = 4[/tex].

So

[tex]S_a = 2\pi r(h+r) = 2\pi(3)(3+4) = 42\pi = 131.947[/tex]

Height and radius are in meters, so the surface area will be in square meters.

The surface area of the cylinder is of 131.947 square meters.

Answer:

the answer for this question is 4

Answer:

3

Step-by-step explanation:

[tex]\pi V = \pi r^{2} h\\75\pi = \pi 5^{2} h\\75\pi =25\pi *h\\h = 3[/tex]

Answer:

The answer is A

Step-by-step explanation:

Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps

Answer:

its do9ne

Step-by-step explanation:

Answer:

its the one next to the yellow one. hope it helps.

Step-by-step explanation:

Step-by-step explanation:

would you still like me to help you with this question

Answer:

0.3

Step-by-step explanation:

Answer:

The amount with which she should increase the length and the with of the sandbox is 2 feet each

Step-by-step explanation:

The dimensions of Melissa's rectangular box are;

Width of the box = 4 feet

Length of the box = 8 feet

The total area of the new sandbox, A = 60 square feet

Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;

The area of the new sandbox, A = The new length × The new width

A = 60 ft.²

The new length = 8 + x

The new width = 4 + x

∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32

60 = x² + 12·x + 32

60 - 60 = 0 = x² + 12·x + 32 - 60

∴ x² + 12·x - 28 = 0

(x + 14)·(x - 2) = 0

x = -14 or x = 2

Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet

The amount of increase of the length and the width of the sandbox, x = 2 feet each.

Answer:

Step-by-step explanation:

90 = 10x+30

60 = 10x

6 = x

Answer:

48

Step-by-step explanation:

first you need to subtract the total number of students 340, by 4:00 because four of them had to travel in cars so they weren't on the bus. since there are seven buses and now 336 students going to travel on buses each buses must be split equally so you need to divide 336 by 7 giving you 48

Answer:

Interest amount = 239400

Step-by-step explanation:

Below is the calculation of interest amount:

Given the loan amount or present value = 630000

Time period  = 48 months or 4 years

Interest rate give = 9.5%

Total amount = P ( 1 + rt)

P = 630000

r = 9.5%

t = 4 years

Total amount = 630000 ( 1 + 9.5% x 4)

Total amount = 869,400

Interest amount = 869400 - 630000

Interest amount = 239400

Answer:

The theoretical probability that the spinner below lands on the letter B is 1/2

Step-by-step explanation:

Given

[tex]S =\{A,B,B,B,C,C\}[/tex]

[tex]n(S) = 6[/tex]

See attachment for spinner

Required

P(B)

From the attached spinner, we have:

[tex]n(B) = 3[/tex] --- occurrence of B

So:

[tex]P(B) = \frac{n(B)}{n(S)}[/tex]

[tex]P(B) = \frac{3}{6}[/tex]

[tex]P(B) = 1/2[/tex]

Answer:

Adjacent

Step-by-step explanation:

Since angle a and b are right next to each other, they would be adjacent.

Answer:

(-2, 0.5) first

Step-by-step explanation:

X (-4, 1) → X' (-4*0.5, 1*0.5)

X'(-2, .5)

Answer:

C.

Step-by-step explanation:

hope this helps

Answer:

C

Step-by-step explanation:

C shows it being anything below six, and if x is less than six this is the correct answer.

Answer:

yes, i think it is

Step-by-step explanation:

Answer:

Yes...your right...but no...its 28 degrees.

Step-by-step explanation:

So bascially, angle C is 90 degrees. So is angle D.

We know A is 28 degrees.

We know a tiangle is 180 degrees.

We dont know the degree of C in the first trinagle or the secodn triangle, but again, we know the total degrees of C is 90.

To find the missing angle, we must find what C is first.

So, we know we can subtract 90 from 180 to get 90. Since there is a 90 degree angle in the first triangle.

Next we can subtract 28, since we know that is the measure of angle A.

This gets us 62.

Now subtract 62 from the 90 degrees of angle C. THis will find us its angle in the second traingle.

This gets us 28.

This is our missing number.

So you were wrong in the sense that you solved for the wrong angle y, but you did get the right answer:

Since we know that a triangle is 180, and one of these is a right angle, there is 90 degrees.

If we subtracrt the 28 we got just now, we would get 62, which is angle B, or DBC.

However, the 28 is angle C, or DCB.

So your answer is actually 28, not 62.

Hope this helps!

Hi there!

[tex]\large\boxed{22^o}[/tex]

Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.

Using the Alternate Interior Angle theorem:

m∠HJI = m∠JHG, so:

7x - 16 = 5x + 8

Solve for x:

2x - 16 = 8

2x = 24

x = 12

Substitute in this value of x to solve for m∠HJI:

7(12) - 16 = 84 - 16 = 68°

Thus:

m∠GJH = 90 - 68° = 22°

Answer:

g(x)=2x-1+7 or g(x)=2x+6

Step-by-step explanation:

Its the opposite when your subtracting and adding

Answer:

[tex]p = -2[/tex]

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for  p .

Answer:

5/18 0r 27.77%

Step-by-step explanation:

I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.

Answer:

45+13−19+163(3)⋅\−21.5   They also have a pdf if you need it

unit 6-10 answer key.pdf

Step-by-step explanation: