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Margaret [11]
3 years ago
5

After selling tickets to a dance for $3.25 each, the student council brought in $1020.50 from ticket sales. How many tickets did

the student council sell
Mathematics
2 answers:
Ratling [72]3 years ago
7 0
314....1020.50/3.25 the decimal moves two places to the right in both numbers
Ymorist [56]3 years ago
5 0

Answer:  314

Step-by-step explanation:

Given : After selling tickets to a dance for $3.25 each, the student council brought in $1020.50 from ticket sales.

i.e. The price of each ticket = $3.25

The total amount collected by selling tickets = $1020.50

Now, to find the number of tickets sold by tickets council, we need to divide the total amount by price of each ticket.

\dfrac{1020.50}{3.25}=314

Hence, the total number of tickets sold = 314.

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Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?
coldgirl [10]

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

k=\frac{y}{x}

substitute the given values

k=\frac{12}{-3}=-4

so

The linear equation is equal to

y=-4x

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

y=-4(6)=-24

7 0
2 years ago
What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2?
erica [24]

x^2 + 6xy + 8y2

4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

Combine like terms:

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)

= -x^2 + 6xy + 8y^2

5 0
2 years ago
Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th
RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

\text{Surface area of cylinder}=2\pi rh,where,

r = Radius of cylinder,

h = Height of cylinder.

\text{Surface area of cylinder}=2\pi r*5

\text{Surface area of cylinder}=10\pi r

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

1000=10\pi r

Upon dividing both sides of our equation by 10 pi we will get,

\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}

31.8309886=r

r\approx 31.83

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

4 0
3 years ago
What is the midpoint of the segment shown below?
Burka [1]

Answer:

choice. c.) (5, 1/2)

Step-by-step explanation:

(5, 4) and (5, -3)

Use midpoint formula  ( (a + x)/2 , (b + y)/2)  for (a,b), (x,y)

midpoint = ( (5+5)/2, (4+- 3)/2) = (5, 1/2)  

5 0
3 years ago
To find the value of an expression is to _______________.
kakasveta [241]
Evaluate , I've had this question before and I got it right
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