A radio station had 300 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How many tickets did they give away to employees?

Answers

Answer 1

Answer: There has to be 60 tickets because if you divide 300 by 5 and then subtract that number from 300 you get the about for the listeners and the other number is for the employees.

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How can I write 2,351 and standard form

What is the lateral area of a rectangular prism with length of 4in width of 5in and height of 15in

Answers

300 cubic in. I think

Disjoint subsets A and B of a universal set U, except assume that n(U)=120, n(A)=45, and n(B)=50.Then n(A′∪B)=

Answers

Answer:

n (A' U B ) = 75

Step-by-step explanation:

Here, given : n(U)=120, n(A)=45, and n(B)=50

As we know:

n (A ' U B) = n(A) − n (A∩B) ... (1)

Here, n(A) = 45

So, n( A') = n(U) - n(A) = 120 - 45 = 75

⇒ n(A') = 75

Now, as given A and B are disjoint sets.

⇒ n (A ∩ B) = Ф

So, (A' U B ) = A'

So, n (A' U B ) =n( A') = 75

⇒ n (A' U B ) = 75

I need the volume for 9,11,and 13

Answers

Hey there!

Question 1

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^(2) (h)/(3)$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^(2) (23.4)/(3)$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

The volume of this cone is approximately 1896.66 cubic inches.

Question 2

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = (1)/(2) h(b_(1) +b_(2) )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = (1)/(2) 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

The volume of the prism is 10324.6 cubic feet.

Question 3

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = (√(3) )/(4) s^(2)$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $(√(3) )/(4)$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

The volume of the pyramid is approximately 415.67 cubic meters.

Hope this helps!

5) Rolanda scored 20, 15, and 16 on her first three math quizzes. Jetta scored 16, 19, and 17 on her quizzes. Using e the mean to compare, who has the higher math quiz scores so far?

Answers

Roland; 20+15+16=51, 51÷3= 17
Roland; 17
We divide 3 because it's the total number of grade she got.
Jetta; 16+19+17=52, 52÷3= 17.1
Jetta; 17.1
So, probably Jetta got better grade than Rolanda

Answer: Jetta got better grade than Rolanda

Step-by-step explanation:

5-2x=-4x-7 ???????????????????????

Answers

My goodness ! What are you going to do when you
really need a question mark and you don't have any
because you used them all up ?

You said 5 - 2x = -4x - 7

Add 4x to each side:    5 + 2x =      -7

Subtract 5 from each side:    2x =   -12

Divide each side by 2 :    x =   -6

+2x on both sides
5=-2x-7
+7
12=-2x
/-2
-6=x

What's 9/25 as an equivalent fraction.

Answers

9/25 is equivalent to many fractions! what you can do is multiply both sides of the fraction by any number. for example:
9 x 2 = 18
_
5 x 2 = 50

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