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Roman55 [17]
3 years ago
9

Of all the people that attend movies 67% are in the 12-29 age group. At one theater, 300 people attended a showing of a certain

movie. How many were in the 12-29 age group?
Mathematics
1 answer:
suter [353]3 years ago
6 0
67 multiplied by 3 is 201, so there is 201 people in the age group 12-29. Also, 67% is approximately two thirds, and we can see that reflected in our answer.
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Can some one help me if your good at geometry?
Shkiper50 [21]

Answer:

<h2><u>x = 15 ft.</u></h2>

Step-by-step explanation:

Using Pythagoras Theorem:

x^{2} + 8^{2} = 17^{2}

⇒ x^{2} = 17^{2} - 8^{2}

⇒ x = \sqrt{(17^{2} - 8^{2})}

⇒ x = \sqrt{(289 - 64)}

⇒ x = \sqrt{(225)}

⇒ x = 15 ft.

6 0
3 years ago
If p(x) = 2x2 – 4x and q(x) = x – 3 what is (p*q)(x)
igomit [66]
<span>The correct answer is 2x</span>²<span>-16x+30.

Explanation<span>:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).

This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).

Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.

Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.

Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
6 0
3 years ago
Read 2 more answers
Assuming the volume of a trigonal prism, who has a side of 10cm and a length of 20 cm, is 866cm^3, what is its surface area?
Leno4ka [110]

The surface area of the triangular prism is 686.6 cm².

Step-by-step explanation:

Step 1:

The volume of a triangular prism can be determined by multiplying its area of the triangular base with the length of the prism.

The base triangle has a base length of 10 cm and assume it has a height of h m.

The volume of the prism= \frac{1}{2} (b)(h) (length) = \frac{1}{2} (10)(h)(20) = 866.

h = \frac{866(2)}{10(20)} = 8.66.

The height of the triangle is 8.66 cm.

Step 2:

The surface area of the triangle is obtained by adding all the areas of the shapes in the prism. There are 2 triangles and 3 rectangles in a triangular prism.

The triangles have a base length of 10 cm and a height of 8.66 cm. A triangles area is half the product of its base length and height.

The rectangles all have a length of 20 cm and a width of 10 cm. The area of a rectangle is the product of its length and width.

The area of the 2 triangles = 2 [\frac{1}{2} (10)(8.66)] = 86.6.

The area of the 3 rectangle = 3[(20)(10)] = 600.

Step 3:

The surface area of the triangular prism = 86.6 + 600 = 686.6.

The surface area of the prism is 686.6 cm².

6 0
2 years ago
Solve the system using substitution.
Galina-37 [17]

Answer:

no solutions

Step-by-step explanation:

if y=2x-5

and y=2x+7

2x-5=2x+7

-5 is not equal to 7

8 0
2 years ago
Read 2 more answers
The ice-cream truck had 112 ice-cream bars when it went out on its afternoon route. The driver sold 76 ice cream bars at the fir
Yuri [45]
I believe it would be 54 dollars.

Hope it helps,
3 0
3 years ago
Read 2 more answers
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