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V125BC [204]
3 years ago
6

A movie theater made $500 selling 180 tickets. They sell child tickets for $3, adult tickets for $5, and senior tickets for $2.

The number of adult tickets sold was 10 times the number of child tickets. Using c for a child ticket, a for an adult ticket, and s for a senior ticket, what system of equations represents this scenario?
Group of answer choices

a + c + s = 500
3c + 5a + 2s = 180
10a = c

a + c + s = 180
3c + 5a + 2s = 500
10a = c

a + c + s = 500
5c + 2a + 3s = 180
a = 10c

a + c + s = 180
3c + 5a + 2s = 500
a = 10c
Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

the 1st one i think cause its 500 all together

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ki77a [65]

Answer:

x=12

Step-by-step explanation:

we know that

A linear pair is two angles that are adjacent and form a line. The angle measure of a line is 180 degrees

In this problem we have that

(10x-20)^o+(6x+8)^o=180^o --- by supplementary angles (form a linear pair)

solve for x

(16x-12)=180

16x=180+12

16x=192

x=12

3 0
4 years ago
if PQ=21 cm and QR=5cm, then what are the possible lengths for PR so that line PQ, line QR, and line PR can form a triangle? exp
postnew [5]
PR must be less than 26cm as PQ + QR = 26cm

PR must be more than 16cm as PD- QR = 16cm

At both those limits the sides would lay on top of each other.
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3 years ago
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When is hurricane season in the United States?
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Need to find volume, step by step explanation pls <br><br><br><br>​
worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

V_1=\dfrac{2}{3}\pi r^3

Where, r is the radius of the hemisphere.

V_1=\dfrac{2}{3}(3.14)(6)^3

V_1=\dfrac{6.28}{3}(216)

V_1=452.16

Volume of cylinder is:

V_2=\pi r^2h

Where, r is the radius of the cylinder and h is the height of the cylinder.

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

We know that,

l^2=r^2+h^2                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

(10)^2=(6)^2+h^2

100-36=h^2

\sqrt{64}=h

8=h

Volume of cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where, r is the radius of the cone and h is the height of the cone.

V_3=\dfrac{1}{3}(3.14)(6)^2(8)

V_3=\dfrac{25.12}{3}(36)

V_3=301.44

Now, the volume of the combined figure is:

V=V_1+V_2+V_3

V=452.16+1356.48+301.44

V=2110.08

Therefore, the volume of the given figure is 2110.08 cubic units.

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