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Sati [7]
3 years ago
15

Devisibility rules for 3, 6, and 9

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

<u>★</u><u> </u><u>Divisibility</u><u> </u><u>rule</u><u> </u><u>for</u><u> </u><u>3</u><u> </u><u>-</u>

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

<u>Example</u><u> </u><u>1</u><u> </u><u>-</u> 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★<u> </u><u>Divisibility</u><u> rule</u><u> </u><u>for</u><u> </u><u>6</u><u> </u><u>-</u>

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

<u>Exampl</u><u>e</u><u> </u><u>2</u><u> </u><u>-</u> 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ <u>Divisibility</u><u> rule</u><u> for</u><u> </u><u>9</u><u> </u><u>-</u>

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

<u>Example</u><u> </u><u>3</u><u> </u><u>-</u> 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

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The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

4 0
4 years ago
Please help me out please
N76 [4]
You can solve this since you can develop 3 equations for your 3 unknowns. Each equation is made using the Pythagorean theorem:

1) x^2 = y^2 + 16^2
2) z^2 = y^2 + 4^2
3) (16 + 4)^2 = z^2 + x^2

Simplifying the above we get:

1) x^2 = y^2 + 256
2) z^2 = y^2 + 16
3) 400 = z^2 + x^2

We want to solve for z. There are several ways but an easy one is with substitution. Start by rearranging 2) and 3) like this:

2’) y^2 = z^2 - 16
3’) x^2 = 400 - z^2

Now we have expressed x and y in terms of z. Plug these values into the unused equation, 1), to solve for z:

1’) 400 - z^2 = z^2 - 16 + 256
2z^2 = 160
z^2 = 80
z = √80
z = √(16)(5)
z = 4√5
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Answer:

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Step-by-step explanation:

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The width of a rectangle is 1/2 of its length. what are the sides of the rectangle if its perimeter in 63 in?
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Given the following system of equations, solve for 'x' and 'y.
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Answer:

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Step-by-step explanation:

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