Answer:
senior citizen tickets are $10 and child tickets are $8
Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to

where
(h,k) is the center and r is the radius
we have

Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square twice. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

therefore
The center is the point (6,-3) and the radius is r=5 units
Answer:
<em>The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
B = speed (rate) of the boat in still water
S = speed (rate) of the stream
The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

Multiplying by 3:
3B - 3S = 172 [1]
The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

B + S = 93
Solving for B:
B = 93 - S [2]
Substituting in [1]
3(93 - S) - 3S = 172
Operating:
279 - 3S - 3S = 172
279 - 6S = 172
Subtracting 279:
- 6S = 172 - 279
- 6S = -107
Multiplying by -1 and solving for S:

From [2]:


The answer will be 49
because 650 will be rounded up to 700 then multiply that by 7% which gives you 49
Answer:
y = -27
Step-by-step explanation:
- Multiply the entire equation by 6

2*(y + 1) - (3y - 1 ) = 30
- Multiply (y +1) by 2 and (3y - 1) by (-1)
2y + 2 - 3y + 1 = 30
- Isolate y term by taking the constant term to RHS
2y - 3y = 30 - 2 - 1
-y = 27
y = -27