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3 years ago

8

If a number is not divisible by 11 , can it be divisible by 22?

1 answer:

RoseWind [281]3 years ago

4 0

Answer:

Well the divisibility rule for 22 is that the number must be divisible by 2 and 11. In order for something to be divisible by 2 it needs to end in 0, 2, 4, 6, or 8. For the number 11 the, if the difference between the odd numbered digits and the sum of the even numbered digits is a multiple of 11 then it is divisible by 11.

So I would say no for both of them since 22 is divisible by 11.

Please let me know if I'm wrong.

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I need the answer now

Serga [27]

Answer:

i) TRUE

ii) TRUE

iii) TRUE

Step-by-step explanation:

$(ab+bc)(ab-bc)+(bc+ca)(bc-ca)+(ca+ab)(ca-ab)=\\\\=\underline{(ab)^2}-(bc)^2\ \,+\ \,(bc)^2-(ca)^2\ \,+\ \,(ca)^2-\,\underline{(ab)^2}=\\\\=0+0+0=0$

$(a+b+c)(a^2+b^2+c^2-ab-bc-ca)=\\\\=a^3\,\underline{\,+ab^2}\ \underline{\underline{+\,ac^2}}\,-a^2b\ -\,abc\ \underline{\underline{\underline{-\,a^2c}}}+a^2b+b^3+bc^2\,\underline{-\,ab^2}\ \underline{\underline{\underline{ \underline{-\,b^2c}}}}\,-\,abc+\\{}\qquad\qquad\qquad\qquad\qquad\qquad \qquad\qquad \underline{\underline{ \underline{+\,a^2c}}}\ \underline{\underline{\underline{\underline{+\,b^2c}}}}+c^3\,-\,abc-bc^2\ \underline{\underline{-c^2a}}=$

$=a^3\ \underline{-\,a^2b}\ \underline{\underline{-\,abc}}\ \underline{+\,a^2b}+b^3\ \underline{\underline{\underline{+\,bc^2}}}\ \underline{\underline{-\,abc}}+c^3\ \underline{\underline{-\,abc}}\ \underline{\underline{\underline{-\,bc^2}}}=\\\\=a^3+b^3+c^3-3abc$

$(p-q)(p^2+pq+q^2)=\\\\=p^3\ \underline{+\,p^2q}\ \underline{\underline{+\,pq^2}}\ \underline{-\,p^2q}\ \underline{\underline{-\,pq^2}}-q^3=\\\\=p^3-q^3$

5 0

3 years ago

Read 2 more answers

A boat race takes place in Detroit every summer. The first boat to travel 3 miles upstream and back will win the race. If the ri

kakasveta [241]

Answer:

The speed of the boat in still water u = 8 $\frac{mi}{hr}$

Step-by-step explanation:

Let speed of the boat = u $\frac{mi}{hr}$

Speed of the current = v $\frac{mi}{hr}$ = 4 $\frac{mi}{hr}$

Given that the first boat to travel 3 miles upstream and back in a total 1 hour.

So

$\frac{3}{u - v} + \frac{3}{u + v} = 1$

$\frac{6 u}{u^{2} - v^{2} } = 1$

$u^{2} - v^{2} - 6 u = 0$

Since v = 4

$u^{2} - 6 u - 16 = 0$

By solving above equation

$u^{2} + 2 u - 8 u - 16 = 0$

$u (u + 2) - 8 (u + 2) = 0$

$(u - 8)(u +2) = 0$

u = 8 , - 2

Since u = -2 is not valid.

⇒ u = 8 $\frac{mi}{hr}$

This is the speed of the boat in still water.

3 0

4 years ago

An experienced bricklayer can work twice as fast as an apprentice bricklayer. After the bricklayers work together on a job for 4

Veronika [31]

Answer:

7 hours.

Step-by-step explanation:

An experienced bricklayer can work twice as fast as an apprentice bricklayer. The apprentice needs 14, so 14/2=7

4 0

3 years ago

Surface area and volume of cone

faust18 [17]

The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

<h3>What is volume?</h3>

Volume is the capacity of an object.

To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.

Formula:

S = πr√(r²+h²)............. Equation 1
V = πr²h.................. Equation 2

Where:

S = Surface area of the cone
V = Volume of the cone
r = Radius of the base of thye cone
h = Vertical height of the cone.

From the diagram,

Given:

r = 10 km
h = 24 km
π = 3.14

Substitute these values into equation 1 and equation 2 respectively.

S = 3.14×10[√(24²+10²)
S = 31.4(√676)
S = 31.4×26
S = 816.4 km²

Also for the volume of tyhe cone

V = 3.14×10²×24
V = 7536 km³

Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

Learn more about volume here: brainly.com/question/1972490

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8 0

2 years ago

If $1900 earned simple interest of $56.28 in 6 months, what was the simple interest rate? The simple interest rate is % (Do not

Kipish [7]

Answer:

rate of interest = 5.92%

Step-by-step explanation:

Given,

Principle value,P = $1900

interest earned, I = $58

time, T = 6 months

$=\dfrac{6}{12}\ year$

= 0.5 year

As the interest is being calculated according to the rule of simple interest.

so, Simple interest can be given by,

$I\ =\ \dfrac{P\times R\times T}{100}$

$=>\ 56.25\ =\ \dfrac{1900\times R\times 0.5}{100}$

$=>\ R\ =\ \dfrac{56.25\times 100}{1900\times 0.5}$

= 5.92

so, the simple rate of interest is 5.92% annually.

6 0

3 years ago