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Dominik [7]
3 years ago
7

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost $228. Write and solve a s

ystem of equations to find how many children and how many adults were in the group.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer: 9,2

Step-by-step explanation:

a+c=11

a=11-c

22(11-c) + 15c = 228

242-22c + 15c = 228

-7c=-14

C = 2 (two children)

Remember how a + c = 11

a + 2 = 11

A= 9

9 adults, 2 children.

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Graph the following piecewise function and then find the range.. help please!!!
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Parabola : @x =-4,6 make an empty bubble
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6 0
3 years ago
A company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The
barxatty [35]

Answer:

The Volume of large cone is  19.545 inches^3 greater than the smaller cone

Step-by-step explanation:

Given:

Size of the small cone =  3.5 inches

Diameter of the small cone  = 3 inches

Size of the large cone =  3.5 inches

Diameter of the small cone  = 3 inches

To Find:

How much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone = ?

Solution:

Volume of the small cone :

Radius = \frac{diameter}{2}

Radius = \frac{3}{2}

Radius = 1.5 inches

volume of the cone  =\pi rl

substituting the values,

=>\pi (1.5)(3.5)

=>\pi(5.25)

=> 16.485 inches^3

Volume of the large cone :

Volume of the large cone :

Radius = \frac{diameter}{2}

Radius = \frac{4.5}{2}

Radius = 2.25 inches

volume of the cone  =\pi rl

substituting the values,

=>\pi (2.25)(5.1)

=>\pi(11.475)

=>36.06 inches^3

Now ,

volume of small cone - volume of large cone

=>36.06 - 16.485

=>19.545 inches^3

4 0
3 years ago
Read 2 more answers
What is the standard form of y= 1/4x +6
viktelen [127]

Answer:

x-4y=-24

Step-by-step explanation:

Standard form is Ax + By = C, so we want x to be on the left side

To accomplish this, subtract 1/4x from both sides.

-\frac{1}{4} x+y=6

Multiply by -4 to get x to be equal to 1.

x -4y=-24

4 0
3 years ago
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A right circular cone of radius 6 inches, side length of 16 inches and height of h inches. Which is closest to the height of a c
Elis [28]

Answer:

Height of cone (h) = 14.8 in (Approx)

Step-by-step explanation:

Given:

Radius of cone (r) = 6 in

Slant height (l) = 16 in

Find:

Height of cone (h) = ?

Computation:

Height of cone (h) = √ l² - r²

Height of cone (h) = √ 16² - 6²

Height of cone (h) = √ 256 - 36

Height of cone (h) = √220

Height of cone (h) = 14.832

Height of cone (h) = 14.8 in (Approx)

8 0
3 years ago
Find the equation of the line that is perpendicular to y=3/4x-3 and passes through the point (3,-2)
morpeh [17]

Answer:

Step-by-step explanation:

perp. -4/3

y + 2 = -4/3(x - 3)

y + 2 = -4/3x + 4

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3 years ago
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