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3 years ago

What is 5/20 in simplest form?

Mathematics

2 answers:

faust18 [17]3 years ago

4 0

$\frac{1}{4}$

because you divide 5 by 5 and you get 1 and when you divide 20 by 5 you get 4 and all that equals to 0.25 = 1/4

Rus_ich [418]3 years ago

4 0

The attachment below could help.

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What is the discount rate for a $120.00 camera that is on sale for $105.00?

balu736 [363]

<span>The resent value, also called "discounted value," is the current worth of the camera. So, we know that the discounted value is $105.00.
The first price of the camera was $120.00.
This means that the price is decreased. In order to calculate the discount rate we should find out how many percent the camera was discounted. 105 from 120 is: 105/120*100=87.5
So, the discount is 100-87.5=12.5 %.
</span>

7 0

4 years ago

Which of these correctly rearranges the terms in this polynomial so like terms are next to each other

True [87]

Question is not complete, so i have attached it.

Answer:

B: -2x² - 6x² - 6x + 3x + 3 + 2

Step-by-step explanation:

From the image attached, the given polynomial is;

3 - 6x - 2x² + 3x - 6x² + 2

For like terms to be next to each other, we have to rearrange it as follows;

-2x² - 6x² - 6x + 3x + 3 + 2

Like terms are x² and x, thus they are now arranged next to each other.

The only option that corresponds to our answer is option B

8 0

3 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

3 years ago

Gregory needs to purchase a washer and dryer. He finds both on sale for $2,000. He has decided to pay for them on an installment

Lesechka [4]

Step-by-step explanation:

.20 times 2000 is your answer = $40 is 20% of 2000.

6 0

3 years ago

According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduate

Romashka-Z-Leto [24]

Answer:

C. 30

Step-by-step explanation:

-It is a statistical rule of thumb that the size of a sample must be $n\geq 30$ .

-This size is deemed adequate for the Central Limit Theorem to hold.

-At this size or greater, the shape of the resultant distribution is normal.

#It should however be noted, that for a normal distribution the CLT holds even for smaller sample sizes.

5 0

3 years ago