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mafiozo [28]
3 years ago
12

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a

special exhibit ticket. How many people were in this group?
Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Answer:

3

Step-by-step explanation:

Here is the full question :

This sign shows admission fees and ticket prices for a museum :

General Admission: $18

Tickets to Special Exhibits $7

Tickets to Movies $6

Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54

Since everyone would have to pay the general admission ticket, we can determine the number of people in the group

number of people in the group = total amount spent on general admission / price of general admission per person

= $54 / $18 = 3

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5 0
3 years ago
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Solve the system of linear equations.
RoseWind [281]

Answer:

1. No solution

2. Infinite solutions

Step-by-step explanation:

1. To solve the system, set the equations equal to each other and solve for x.

2x - 5 = 2x + 7

-5 = 7

This is a false statement. This means there is no solution.

2. To solve the system, graph each equation.

y = -3/4 x - 5/2 has a y-intercept -5/2 and slope -3/4.

3x + 4y = -10 converts to y = -3/4x -5/2.

This graphs as the exact same line. This system has infinite solutions.

4 0
3 years ago
Write the equation of a line that is parallel to y = --x + 7 and that passes through the point (-4,1).
nordsb [41]

Answer:

slope: -1

y - 1= -(x + 4)

y - 1 = -x - 4

y = -x - 3

6 0
3 years ago
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A regular pentagonal prism has a volume of 2,850 cubic millimeters. what is the height of the prism? a regular pentagonal prism
zlopas [31]

Answer:

Height = 19mm.

Step-by-step explanation:

Area of a regular polygon =  (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem,  P = Perimeter.

Here A = 5, P = 5*12 = 60 so

Area  of the base  = (5 * 60) / 2 = 150 mm^2.

Volume = area base * height so

Height = volume / area of base

            = 2850 / 150

            = 19 mm.

5 0
1 year ago
4. 9d - 5 = 4<br><br> What does d =<br> 5. 6-3w=-27 what does w =<br> 6. -4= q/8-19 what does q =
trapecia [35]

Answer:

4) d = 1

5) w = 11

6) q = 120

Step-by-step explanation:

<em>4)</em> 9d - 5 = 4

Adding 5 on both the sides ,

=  > 9d - 5 + 5 = 4 + 5

=  > 9d = 9

Dividing both the sides by 9 ,

=  >  \frac{9d}{9}  =  \frac{9}{9}

=  > d = 1

<em>5)</em> 6 - 3w =  - 27

Substracting 6 from both the sides ,

6  - 3w - 6 =  - 27 - 6

=  >  - 3w =  - 33

Dividing both the sides by -3 ,

=  >  \frac{ - 3w}{ - 3}  =  \frac{ - 33}{ - 3}

=  > w = 11

<em>6)</em> - 4 =  \frac{q}{8}  - 19

Adding 19 on both the sides ,

\frac{q}{8}  - 19 + 19 = - 4 + 19

=  >  \frac{q}{8}  = 15

Multiplying both the sides by 8 ,

=  >  \frac{q}{8}  \times 8 = 15 \times 8

=  > q = 120

6 0
3 years ago
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