If the same number is subtracted from both the numerator and the denominator of 1115, the result is 35. find the number.

What is the value of x in the equaton<br><img src="https://tex.z-dn.net/?f=%20%7B25%7Dx%5E%7B2%7D%20%3D%2016" id="TexFormula1" t

lisov135 [29]

$25x^2=16\ \ \ |:25\\\\x^2=\dfrac{16}{25}\to x=\pm\sqrt{\dfrac{16}{25}}\\\\x=-\dfrac{\sqrt{16}}{\sqrt{25}}\ \vee\ x=\dfrac{\sqrt{16}}{\sqrt{25}}\\\\\boxed{x=-\dfrac{4}{5}\ \vee\ x=\dfrac{4}{5}}$

5 0

2 years ago

The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the

Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

$T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939$

Probability:

$p_{S} = \frac{1}{1533939}$

Probability of the mega number matching:

1 from a set of 27. So

$p_M = \frac{1}{27}$

Probability of both matching:

Independent events, so we multiply the probabilities:

$p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}$

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0

2 years ago

Please help me whit this (if you answer pls show the work)

adell [148]

Answer:

24 ft

Step-by-step explanation:

Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.

So, 10/15 = 16/___. Cross multiple and you get 24ft!

8 0

2 years ago

Can someone complete the square

pshichka [43]

To do these, start by looking at the "b" value -6.
divide it by 2

-6/2 = -3

now square this number

(-3)^2 = 9

this is what you need for the "c" value

there is only a 5 for the c value so add 4 to both sides of the equation. ( +4 = +4)

y +4 = x^2 -6x +5 +4
y +4 = x^2 -6x +9
y +4 = (x -3)^2
y = (x -3)^2 - 4

vertex ( 3, -4) upwards facing like a bowl, because the "a" value is positive. So the vertex is the minimum, lowest point on the graph.

7 0

3 years ago

What is the solution of 5y + 1=31

gayaneshka [121]

Answer:

y=6

Step-by-step explanation:

edge2020

4 0

2 years ago

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