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3 years ago

How do you Factor: 36X - 54 =?

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

Answer:

18(2x - 3)

Step-by-step explanation:

Hey there! :)

In order to factor 36x - 54, you must find the common factors of it.

So, we must ask ourselves : what number goes into BOTH 36x & -54?

Our answer is going to be 18.

So, let's ask ourselves a couple more questions :

How many times does 18 go into 36x?

How many times does 18 go into -54?

36x ÷ 18 = 2x

-54 ÷ 18 = -3

Therefore, 18 goes into 36x 2 times while 18 goes into -54 3 times.

So now that we know that, simply take 18 out like so :

18(2x - 3)

This is our answer because when multiplied by 2x, 18 turns into 36x. In addition, when multiplied by 18, -3 turns into -54.

Hope I helped! :)

Leno4ka [110]3 years ago

4 0

Answer:

9 (4x - 6)

Step-by-step explanation:

You don't have a common factor but you have a common divider: 9

so the answer is:

9 (4x - 6)

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Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a yea

Olenka [21]

Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

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3 years ago

Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

Leviafan [203]

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

#learnwithBrainly

6 0

4 years ago

Find the slope of the line through the pair of points: (5, 20) and (4, -17)

aliya0001 [1]

Answer:

m (slope) = 37

Step-by-step explanation:

use the slope-line formula, y2 - y1/x2 - x1

put in coordinates (5, 20) for x1 and y1

put in coordinates (4, -17) for x2 and y2

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8 0

3 years ago

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Korolek [52]

Answer:

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Step-by-step explanation:

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2 years ago

An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t) = 600 − 16t

Anni [7]

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when h = 400

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4 years ago

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