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2 years ago

3n + 8 = 53 I don’t understand how to find the n

Mathematics

2 answers:

Kitty [74]2 years ago

8 0

Answer:

n = 15

Step-by-step explanation:

3n + 8 = 53

the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting

3n = 45

next step, we are going to isolate the n by dividing by 3 on both sides of the equation

3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer

olganol [36]2 years ago

3 0

Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

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The present age of the father is twice the age of his daughter. Ten years ago, the

Elenna [48]

Answer:

<h3> The father is 40 and the daughter is 20.</h3>

Step-by-step explanation:

x - the present age of the daughter

2x - the present age of the fathter

x - 10 - the age of the daughter ten year ago

2x - 10 - the age of the fathter ten year ago

Father is older than his dauther, so:

2x - 10 = (x - 10) + 20

2x - 10 = x - 10 + 20

2x - 10 = x + 10 {subtract x from both sides}

x - 10 = 10 {add 10 to both sides}

x = 20

2x = 2·20 = 40

6 0

2 years ago

Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .

$p-1/2=0\\p=1/2$ .

So, the answer to part a is $\boxed{1/2}$ .

We can then plug $1/2$ into the equation for p to find the answer to part b.

$1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250$ .

So, the answer to part b is $\boxed{250}$ .

And we're done!

3 0

1 year ago

Find mMK................

Gnesinka [82]

Answer:

Approximately mMK is 53 degrees

Step-by-step explanation:

Here, we want to find the length of MK

As we can see, we have a right triangle at LNK

let us find the angle at L first

9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L

so the trigonometric identity that connects adjacent to the hypotenuse is the cosine

It is the ratio of the adjacent to the hypotenuse

So;

cos L = 9/15

L = arc cos (9/15)

L = 53.13 degree

Approximately, L = 53 degrees

so now, we want to get the arc length MK

We are to use the angle-arc relationship here

Using this; arc length MK is equal to the measure of L at the center which is 53 degrees

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1 year ago

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yulyashka [42]

Answer:

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