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Sphinxa [80]
3 years ago
10

In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four win

ners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?
a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners

( if your doing this can you please do it step by step )
Mathematics
1 answer:
larisa86 [58]3 years ago
5 0

Answer:

b) 15 winners

Step-by-step explanation

if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.

(2,160,000/ 144,000)

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Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much
NNADVOKAT [17]

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

6 0
3 years ago
On the set of axes below, draw the graph of y=x^2-4x-1
never [62]

9514 1404 393

Answer:

  axis of symmetry: x = 2

  see below for a graph

Step-by-step explanation:

You can complete the square to put the equation in vertex form.

  y = (x^2 -4x +4) -1 -4

  y = (x -2)^2 -5 . . . . . . vertex is (2, -5)

The equation of the axis of symmetry is the equation of the vertical line through the vertex:

  x = 2 . . . . . axis of symmetry

__

Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.

5 0
3 years ago
For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in
Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is p'(x)=3x^2-9. In particular, the value we are looking for is p'(2)=3(2^2)-9=12-9=3.

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get y=3(x-2)-10=3x-16

b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to p'(2)=3.

4 0
3 years ago
Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t
PIT_PIT [208]
The probability of having a 17 is the number of ways of having 17 divided by the number of different possible outcomes.

Ways of having 17:

Die 1     Die 2     Die 3    sum
6            6            5          6+6+5 = 17
6            5            6          6+5+6 = 17
5            6            6          5+6+6 = 17

Those are the only 3 possibilities of having 17 (you can only loose 1 point).

The total number of outcomes are 6*6*6 = 216

So the chances (probability) to win is 3 / 216 = 1/72 = 0.0139 
8 0
3 years ago
The difference between a number squared, and that same number is 30. What is the number
Volgvan

Answer:

n^2 = n + 30

n^2 -n -30 = 0

Solving by quadratic formula

numbers equal 6 AND -5  

DOUBLE -CHECK

6^2 -6 -30 = 0

36 -6 - 30 = 0 CORRECT

-5^2  - -5 -30 = 0

25 +5 -30 = 0 CORRECT

Two numbers 6 and -5

Step-by-step explanation:

6 0
3 years ago
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