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Fudgin [204]
3 years ago
8

Select a composite number to break into factors. continue factoring until all factors are prime

Mathematics
1 answer:
fgiga [73]3 years ago
6 0

Answer:

2*2*3*3*5

Step-by-step explanation:

180 = 18*10

18 and 10 are both composite

       = 6*3    * 5*2

3,5,2 are prime but 6 is composite

     = 3*2  * 3 * 5 * 2

     All the factors are prime

Listing in order

2*2*3*3*5

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Find the surface area of each prism
goldfiish [28.3K]

Answer:

Step-by-step explanation:

2.

Surface area = ( 6 *10 ) *3  + ( ( 7*4.87) /2)*2 = 180 + 34.09 = 214.09

3.

Surface area = (5*10) *3 + (( 7*4.2)/2)*2 = 150 +29.4 = 179.4

6 0
3 years ago
Jill uses some of her honey to make lotion if each bottle of lotion requires 1/4 gallon and she uses a total of 3 gallons how ma
AURORKA [14]
So, we need to count up 1/4 each time till we get to 3.

1/4, 2/4, 3/4, 1, 1 1/4, 1 2/4, 1 3/4, 2, 2 1/4, 2 2/4, 2 3/4, 3.

Now, let's count how many times we counted to get to 3.

12.

So, Jill used 12 bottles of lotion.

Glad I could help, and good luck!

AnonymousGiantsFan


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5 0
3 years ago
Read 2 more answers
Drawing of a kitchen is shown below
Nutka1998 [239]

Answer:

The answer is 55.54778 ft^2

Step-by-step explanation:

below in the picture.

4 0
3 years ago
Find an equation for the line perpendicular to 2x+ 6y = 30 and goes through the point (6,2)
Mashutka [201]

Answer:

y = 3x - 16

Step-by-step explanation:

We are asked to find the equation of the line perpendicular to 2x + 6y = 30

We can use two formulas for this question, either

y = mx + c. Or

y - y_1 = m(x - x_1)

Step 1: calculate the slope

From the equation given

2x + 6y = 30

Make y the subject of the formula

6y = 30 - 2x

Or

6y = -2x + 30

Divide both sides by 6, to get y

6y/6 = ( -2x + 30)/6

y = (-2x + 30)/6

Separate them in order to get the slope

y = -2x/6 + 30/6

y = -1x/3 + 5

y = -x/3 + 5

Slope = -1/3

Step 2:

Note: if two lines are perpendicular to the other, both are negative reciprocal of each other

Perpendicular slope = 3/1

Substitute the slope into the equation

y = mx + c

y = 3x + c

Step 3: substitute the point into the equation

( 6,2)

x = 6

y = 2

2 = 3(6) + c

2 = 18 + c

Make the c the subject

2 - 18 =c

c = 2 - 18

c = -16

Step 4: sub the value of c into the equation

y = 3x + c

y = 3x - 16

The equation of the line is

y = 3x - 16

If you try out the other formula, u will get the same answer

5 0
3 years ago
Rolex buys computer disks at a price of 4 for $5 and sells them at a price of 3 for $5. How many computer disks must he sell to
Lina20 [59]

Given that Rolex buys computer disks at a price of 4 for $5 .

That means cost price of 1 disk = 5/4


Given that Rolex sells them at a price of 3 for $5.

That means selling price of 1 disk = 5/3


Profit on 1 disk = selling price - cost price

Profit on 1 disk = \frac{5}{3}-\frac{5}{4}

Profit on 1 disk = \frac{5}{3}\cdot\frac{4}{4}-\frac{5}{4}\cdot\frac{3}{3}

Profit on 1 disk = \frac{20}{12}-\frac{15}{12}

Profit on 1 disk = \frac{5}{12}

Now we have to find how many disk to be sold to get the profit $100

so we just divide $100 by profit on 1 disk

\frac{100}{\left(\frac{5}{12}\right)} = 100\cdot\frac{12}{5} = 240

Hence final answer is 240 disks.



3 0
2 years ago
Read 2 more answers
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