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3 years ago

Convert 24/3 to a decimal

Mathematics

1 answer:

Ugo [173]3 years ago

8 0

It would convert into a whole number so if you have to put it in decimal form it would look like this:

8.0

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A landscaper is creating a rectangular flower bed such that the width is half of the length.The area of the flower that is 34 ft

Leviafan [203]

The Area is $A=l * w$ and we know that $w=\frac{l}{2}$

Therefore: $34=l * \frac{l}{2} = \frac{l^{2}}{2}$
$68=l^{2}$
$\sqrt{68}=l=8.246$
and thus:
$w=\frac{8.246}{2}$
$w=4.123$
round to nearest tenth:
$w=4.1feet$

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3 years ago

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the distance around a track is 400m. if you take 14 laps around the track what is the total distance you walk? use mental math

Olegator [25]

to do it in mental math: you can ignore the zeroes in 400 for now.

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now add the zeroes back on: 5600m

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3 years ago

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18 is ( blank ) % of 30

meriva

Make an equation.

'is' is an equal sign

The blank can be 'x'

'of' = multiplication

18 = x * 30

Multiply:

18 = 30x

Divide 30 to both sides:

x = 0.6

Multiply by 100:

0.6 * 100 = 60%

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3 years ago

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Word Problem: The Merryweathers want a new square rug for their living room. If the living room is 20 ft x 16 ft, will the squar

forsale [732]

Square root of 289 = 17 ft

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3 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago