There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3/5 of the remaining runners dropped out. How many runners finished the race?

Answers

Answer 1
Answer: 45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12

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Functions 1 and 2 are shown below:Function 1: f(x) = −3x2 + 2
A graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.

Which function has a larger maximum? Type your answer as 1 or 2.

Answers

Answer:

The function 2 has a larger maximum.

Step-by-step explanation:

The vertex form of the parabola is

f(x)=a(x-h)^2+k              .... (1)

Where, (h,k) is the vertex.

The given functions are

f(x)=-3x^2+2                 ..... (2)

Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.

On comparing (1) and (2), we get

h=0,k=2

Therefore the maximum value of the function is 2 at x=0.

The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).

It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.

Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.

Maximum(F_1)=2

Maximum(F_2)=4

Therefore function 2 has a larger maximum.

Answer:

the anwser is 2 guys. i got it correct

One-half of a number is 1 more than one-third of the same number. What is the number?

Answers

Let the number be x,
(1/2)x=1+(1/3)x
Solving for x,
(1/2)x-(1/3)x=1+(1/3)x-(1/3)x
(1/2)x-(1/3)x=1
(1*3/6)x-(1*2/6)x=1
(3/6)x-(2/6)x=1
(1/6)x=1
6*(1/6)x=6*1
Therefore, x=6
(1/2)x = (1/3)x +1
-(1/3)x  -(1/3)x 

(1/6)x=1
*6        *6
x=6

And so x=6, or your number is 6

A recipe used 3/4 cup of butter for every 1 2/3 cup of flour. What is the unit rate of cups of butter per cup of flour? *​

Answers

Answer:1/6

Step-by-step explanation:

How did shi huangdi deal with people who opposed him

Answers

He killed those who opposed him 


Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting position.How many kilometers east did Santos walk?

Answers

Answer:

4.6 Or 4.60

Step-by-step explanation:

Like the other person said, 4.56. The question says "round to the nearest tenth" so 4.56 rounds to 4.60

Hope it helps~

Candice is traveling to Paris, where they measure distance in Kilometers and not miles . The taxi driver tells her that the distance from the airport to the hotel is 3,000 meters . How many kilometers is this ?

Answers

Therefore , the solution of the given problem of unitary comes out to be  3 kilometres from the airport to the motel.

What is an unitary method?

By combining the information obtained using this variable technique with all supplementary data from two individuals who used a specific tactic, the job can be completed. This mean that, if indeed the desired outcome materialises, either the stated person will be recognized or, in actuality, the colour by both huge processes will be skipped. For forty pens, a refundable charge of Rupees ($1.01) might be required.

Here,

Since there are 1,000 metres in a kilometre, we must split by 1,000 to convert metres to kilometres.

Thus, we can split by

=> 1,000 to convert 3,000 metres to kilometres:

=> 3 kilometres =  3,000 metres / 1,000.

Consequently, it is 3 kilometres from the airport to the motel.

To know more about unitary method  visit:

brainly.com/question/28276953

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