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3 years ago

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given the number, two-fifths,generate its equivalents forms as a fraction, a decimal, and a percent. in addition, give a real wo

rld example in which each form might be used

2 answers:

emmasim [6.3K]3 years ago

7 0

Decimal: $0.4$ (could be used when using a ruler to count millimeters).
Fraction: $\frac{2}{5}$ (could be used when calculating an equation with ordinary fractions).
Percentage: $40\%$ (could be used in chemistry to calculate upon admixtures).

tekilochka [14]3 years ago

5 0

Two-fifths or $\frac{2}{5}$ is equivalent to the following.
$\frac{2}{5}$
<span>0.4
</span>40%

2 pizzas being shared among 5 friends is a real-world example i<span>n which each form might be used.

I hope this helps!</span>

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Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

How many triangles are in a square

jeka94

There are at least two

6 0

2 years ago

Someone pls solve this math puzzle.

Ivahew [28]

Answer:

x (blue circle thing) = 46

y (dna) = -63

z (molecules) = 52

Step-by-step explanation:

4 0

3 years ago

In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 799 grams of copper. How many gra

dezoksy [38]

Answer:

let's see what to do buddy...

Step-by-step explanation:

$\frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17}$

Multiply the sides of the equation by 799

$zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141$

So A jar of the chemical contains 141 grams of <em><u>zinc</u></em>.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

8 0

3 years ago

Answer choices: <br><br> 16/3<br> 40/9<br> 4/9<br> 4/3

son4ous [18]

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of $x$ , we can rewrite the equation replacing the variables.

$\frac{2}{3}^{2} + 3*\frac{2}{3} - 2$

Now solve. While solving, remember the order of operations.

$\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444$ or $\frac{4}{9}$

3 0

2 years ago