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MrMuchimi
2 years ago
10

If point C lies between two points A and B such that AC=BC, then

Mathematics
1 answer:
professor190 [17]2 years ago
3 0

Answer:

If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.

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The bowling alley and the swimming pool both offer birthday party rentals the bowling alley coast $5 per person plus a $15 room
Vanyuwa [196]

Answer:

Swimming pool

Step-by-step explanation:

Let's say that we invite x people. The cost of the bowling alley will be $15 for the room, and we add $5 dollars for each person. Therefore, we can represent the cost of the bowling alley as

5 * x + 15

Similarly, the cost of the swimming pool is

4 * x + 12

To find the maximum of the function, one thing we can do is set the expressions of the cost equal to 40. This will give us the amount of people we can invite for exactly 40 dollars. Because cost increases with amount of people, this will give us the maximum number of people we can invite with $40.

We thus have

5 * x+ 15  = 40

subtract 15 from both sides to isolate the x and its coefficient

25 = 5 * x

divide both sides by 5 to isolate x

25/5 = x = 5

We can therefore invite 5 people to the bowling alley

4 * x+ 12  = 40

subtract both sides by 12 to isolate the x and its coefficient

28 = 4 * x

divide both sides by 4 to isolate x

x = 7

Therefore, we can invite 7 people to the swimming pool. As 7 > 5, we can invite more people to the swimming pool.

A quicker way to solve this could be by looking at the cost of each location. Because the bowling alley costs more both per person and for the room, and there is no way to decrease the cost except by decreasing the amount of people, there is no way that the bowling alley could get as many people as the swimming pool with the same amount of money

5 0
2 years ago
An instructor gives a class a set of 10 problems and says that the nal exam will consist of a random selection of 5 of the probl
sweet-ann [11.9K]

Answer:

probability that he or she will answer at least 4 problems correctly = 0.5

Step-by-step explanation:

probability that he or she will answer at least 4 problems correctly is given as;

P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)

Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1

Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]

= [(35 x3)/252 ] + [21/252]

= [ 105/252 ] + [ 21/252 ]

= 126 / 252

= 0.5

8 0
3 years ago
Need Help Asap). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write th
lianna [129]

A)

slope =  \frac{1}{2} \\

_________________________________

B)

y - 4 =  \frac{1}{2}(x + 2) \\

Or

y - 9 =  \frac{1}{2}(x - 8) \\

_________________________________

C)

y =  \frac{1}{2}x + 5 \\

7 0
3 years ago
Qual o valor de Pi ?
Igoryamba
<h2>Hello my friend.</h2>

The Pi value is approximately equal to 3.14.

<h2>I hope I have helped a lot.</h2>
3 0
3 years ago
Simplify and be granted 10 points! :0
babunello [35]

Answer:46

Step-by-step explanation:

5 0
2 years ago
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