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antiseptic1488 [7]
2 years ago
7

Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the tot

al number of teenagers that Damian surveyed? Show your work
Mathematics
1 answer:
igor_vitrenko [27]2 years ago
6 0
Okay. To find the number of teens he surveyed, we can write and solve a proportion. Set it up like this: 150/x = 75/100. This is because you’re looking for the amount of students he surveyed and you know the percentage and the number of students that like pop music. 150 is over “x”, because “x” will represent the total number of students surveyed. Now, let’s cross multiply the values. 150 * 100 is 15,000. 75 * x = 75x. 15,000 = 75x. Now, divide each side by 75 to isolate the “x”. 15,000/75 is 200. x = 200. Damian surveyed a total of 200 teenagers.
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A basket contains 11 apples, of which two are rotten. a sample of three apples is selected at random. in how many ways can two r
Marianna [84]
The ways the two rotten apple be selected in taking 3 apples from the bag, can be solve using fundamental counting principles.
P = 2 x 1 x 9
P = 18 ways
the first digit is 2 because there are 2 rotten apples. then next is 1 because only 1 apples is now left after you pick the first rotten apple. then next is 9 because there no rotten apple left and 9 apples were left
8 0
2 years ago
Which equation can pair with x + 2y = 5 to create an inconsistent system?
Charra [1.4K]
X + 2y = 5
x = 5 - 2y

2x + 4y = 3
2(5-2y) + 4y = 3
10 - 4y + 4y = 3
10 ≠ 3

5x + 2y = 3
5(5-2y) + 2y = 3
25 - 10y + 2y = 3
-8y = 3 - 25
-8y = -22
y = -22/-8
y = 2.75

6x + 12y = 30
6(5-2y) + 12y = 30
30 -12y + 12y = 30
30 = 30

3x + 4y = 8
3(5-2y) + 4y = 8
15 - 6y + 4y = 8
-2y = 8 - 15
-2y = -7
y = -7/-2
y = 3.5

An inconsistent system is a system of equation that has NO SOLUTIONS.

2x + 4y = 3 is the equation to be paired with x + 2y = 50 to create an inconsistent system.


6 0
2 years ago
Read 2 more answers
What percent of 137.4 is 96?
Neporo4naja [7]
X = 96

100 137.4

137.4x=(100)(96)

137.4x=9600

137.4x/137.4=9600/137.4

x=70%
7 0
2 years ago
a right circular cone has a height of 18 and a base radius of 12. A slice parallel to the base in made completely throught the c
Scrat [10]
<h2>Height of smaller cone is 14.29</h2>

Step-by-step explanation:

\texttt{Volume of cone, V = }\frac{1}{3}\pi r^2h

For the first cone

            Height, h = 18

            Radius, r = 12

Substituting

           \texttt{Volume of cone, V = }\frac{1}{3}\pi r^2h\\\\\texttt{Volume of cone, V = }\frac{1}{3}\times \pi \times 12^2\times 18=2714.34

Volume of new cone formed is half of the older cone.

Volume of new cone = 0.5 x 2714.34 = 1357.17

For the cone as the height reduces to 18 radius reduces to zero.

               tan\theta =\frac{12}{18}\\\\\theta =33.7^0

  \texttt{Volume of new cone = }\frac{1}{3}\pi r_1^2h_1\\\\tan\theta =\frac{r_1}{h_1}\Rightarrow r_1=h_1tan\theta\Rightarrow r_1=h_1tan33.7=0.667h_1\\\\\texttt{Volume of new cone = }\frac{1}{3}\pi \times (0.667h_1)^2h_1=0.467h_1^3

We have

              0.467h₁³ = 1357.17

                       h₁ = 14.29

Height of smaller cone = 14.29

8 0
2 years ago
The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces. What is the pro
Mazyrski [523]

Answer:

gwmfmskfdkwnd

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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