3 years ago

1/3 of a number is 4 less than 1/2 of the number, the number is

Mathematics

1 answer:

ivolga24 [154]3 years ago

3 0

Answer:

Step-by-step explanation:

1/2x=3/4x−3⇒2x=3x−12⇒x=12

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Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

Mila [183]

Step-by-step explanation:

the total area = the area of full circle + the area of parallelogram = (π ×(8/2)²) + (28×7)

= (3,14 ×16)+(196)

= 50,24 +196

= 246,24

= 246,2

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3 years ago

Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

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3 years ago

Number 4 helppp please

Charra [1.4K]

the answer is $10.01

6 0

3 years ago

PLS HELP

NeTakaya

I don’t know o had this question two and couldn’t find the answer

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3 years ago

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There are 1,994 strawberries picked from the farmif the strawberries are sorted equally into six bins, how many strawberries wil

irakobra [83]

Answer:

332

the reason why I think it's $332 is because if you do 1,994 / 6 then that equals 332 I don't know if you get it right if you do great job if you don't I understand

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3 years ago