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Sedaia [141]
3 years ago
8

An adult ticket to an exhibition costs $5 while a child's ticket costs $2. If the number of children going to the exhibition was

3 more than the number of adults and a total amount of $20 was spent on the tickets. Find the number of adults going to the exhibition.
Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

There are 2 adults (2x5) and 5 children (5x2).

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Referring to the Fig. in Question #42, give the coordinates
iragen [17]

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.

The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.

  (x, y) = (0, -3)

_____

  U(-5, 0)

  V(-3, 3)

  W(5, 5)

  X(-4, -5)

  Y(0, -3)

  Z(2, -1)

It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.

4 0
2 years ago
How can csc^2-cot^2 = 1?
Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

6 0
3 years ago
2) A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select oneat
Olin [163]

Answer:

red is more in value unlike the rest

8 0
2 years ago
A smoke jumper jumps from a plane that is 1700 ft above the ground. The function y = -16t2 + 1700 gives the jumper's height y in
lakkis [162]

Answer: (A) 6.6 sec (B) 6.89 sec

<u>Step-by-step explanation:</u>

    y    = -16t² + 1700

 1000 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -700 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

 43.75 = t²

√43.75 = √t²

   6.6 = t

***********************************

    y    = -16t² + 1700

  940 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -760 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

  47.5 = t²

√47.5 = √t²

  6.89 = t

4 0
3 years ago
Which of the following is an equation of a horizontal line? A.3x+6y=0 B.2x+7=0 C.-3y=29 D.x-2y=4
yanalaym [24]
C is the answer because there is no variable for X which without it would make a horizontal line.
5 0
3 years ago
Read 2 more answers
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