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Igoryamba
2 years ago
9

The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $7 and the ad

mission
ticket for each child costs $2. On the opening day of the exhibition, 40 tickets were sold for a total of $180. How many adults visited the
special exhibition?
Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

Answer:

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

Step-by-step explanation:

hope this helps

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Nezavi [6.7K]

Answer: 81 ft^2

Hello! The surface area of the rectangular prism will follow this process:

Right triangle area: (1/2)bh

So that 6ft (4.5ft) = 27ft^2/2; though when one multiplies that by 2 (as there are two right triangles), we get a surface area of 27ft^2.

For the rectangle's area, it's slightly more deviated since each face is different in length: bh

Face 1 = 3ft(7.5ft) = 22.5ft^2

Face 2 = 3ft(6ft) = 18ft^2

Face 3 = 4.5ft(3ft) = 13.5 ft^2

Thus, if we add these all together (27ft^2. + 22.5ft^2 + 18ft^2 + 13.5 ft^2), we get 81 ft^2

7 0
3 years ago
Express the following equation in slope-intercept form:<br><br> y-11 = -5/2 (x + 8)
Goshia [24]

Answer:

hope this helps :)

Step-by-step explanation:

y=−\frac{5}{2\\}x−9

5 0
3 years ago
Find the coordinate point for A that would make ABDC a rhombus. coordinate plane with points B 3 comma 4, and C at 2 comma 1, an
mixer [17]

Answer:

  • B.  (1, 3)

Step-by-step explanation:

We know the rhombus has perpendicular diagonals and the diagonals bisect each other.

The diagonals are AD and BC.

  • <em>Note. The points C and D should have swapped coordinates. This becomes ABDC.</em>

<u>The midpoint of BC is:</u>

  • ([3 + 2]/2,[4 + 1]/2) = (2.5, 2.5)

<u>Use A(x, y) and midpoint formula for the other diagonal AD:</u>

  • (x  + 4)/2 = 2.5 ⇒ x + 4 = 5 ⇒ x = 1
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Point A has coordinates (1, 3)

Correct choice is B

See the picture

7 0
3 years ago
Read 2 more answers
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storchak [24]

Answer:

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8 0
2 years ago
I NEED HELP.<br>Consider the figure below.<br>Find the value of x,y and z​
Andrews [41]

Answer:

x= 7

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Step-by-step explanation:

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8x = 9x-7

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90+z=180

z=180-90

z=90

7 0
3 years ago
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