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3 years ago

The meadian of 26 29 31 33 36

Mathematics

2 answers:

mojhsa [17]3 years ago

5 0

..................................................................

kramer3 years ago

3 0

The answer is 31 the median is the number in the middle and if you cancel out the 2 numbers on the left and right 31 is the middle number

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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

Give three ratios equivalent to 9:5

Bumek [7]

1. 18:10
2. 27:15
3. 36:20

5 0

3 years ago

When Joycelyn goes to work, she drives at an average speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Joycel

insens350 [35]

Jocelyn has to spend $13.46 on gas.

To find this, you first have to determine the number of miles she drives. You can find this by multiplying the speed by the travel time.

65 miles per hour * 1.5 hours = 97.5 miles.

Now that he have the amount of miles she drives, we can find the amount of gas she spends. In order to do that we'll divide the distance by the rate.

97.5 miles / 25 miles per gallon of gas = 3.9 gallons

Now we can determine the cost by multiplying the amount of gallons by the price.

3.9 gallons * $3.45 per gallon = $13.46

4 0

2 years ago

The point-slope form equation is best used to find the equation of a line when ____<br> *No options*

Mila [183]

Point slope give a point on the line and the slope

it is best used when you are given a point on the line and the slope
or
it is also good when you knwo how to find the slope and you are given 2 points

I would go wiith first option that I said

5 0

2 years ago

Read 2 more answers

How do you solve this step by step?

Sphinxa [80]

Answer:

x = 41

Step-by-step explanation:

To solve this problem, we want to find the value of 'x' by isolating it (separating 'x' from all other numbers).

First, simplify the expression by using the <u>distributive property</u>, where you multiply the number outside the brackets with each term inside the brackets.

Then isolate 'x' by doing reverse operations (on both sides) for every number that is on the same side as 'x'. Reverse operations are opposites (addition and subtraction, multiplication and division) and "cancel out" a number, which "moves" it to the other side.

7(x - 5) = 252 Use the distributive property

7x - 35 = 252 Result of 7 times x and 7 times -5

7x - 35 + 35 = 252 + 35 Add 35 to both sides

7x = 252 + 35 -35+35 on the left side cancelled out. Simplify right side

7x = 287 Continue to isolate 'x'

7x/7 = 287/7 Divide both sides by 7

x = 287/7 Left side cancelled out to be 'x'. Simplify the right side

x = 41 Answer

Check your answer:

Substitute 'x' for 41 in the original equation. Then, make sure that the equation is still balanced. Keep in mind BEDMAS order (brackets, exponents, division, multiplication, addition, subtraction).

7(x - 5) = 252

7(41 - 5) = 252 Simplify inside the brackets first

7(36) = 252 Multiply

252 = 252 Same answer

LS = RS

Since left side (LS) equals (=) right side (RS), the equation is still balanced and we got the correct value for 'x'.

6 0

2 years ago