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3 years ago

Which fraction is in simplest form? 3/9, 5/12, 6/14, 4/22

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

Answer:

5/12

Step-by-step explanation:

Dividing each fraction by a divisible number results in

3/9= 1/3

6/14=3/7

4/22=2/11

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Help help please please

trapecia [35]

9514 1404 393

Answer:

b = √32

Step-by-step explanation:

The Pythagorean theorem tells you the relation between the side lengths is ...

2² + b² = 6²

b² = 36 -4 = 32

b = √32

_____

<em>Additional comment</em>

This radical can be simplified by removing a square from under the radical.

$b = \sqrt{32}=\sqrt{16\cdot2}=\sqrt{16}\cdot\sqrt{2}=4\sqrt{2}$

5 0

2 years ago

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

3 years ago

A retailer sold an electric item to a customer at a loss of 10 percent the customer purchase it for rs 25425 including 13, perce

Mashutka [201]

Answer: Rs 25,000

Step-by-step explanation:

Given

Retailer sold an electric iron to a customer at a loss of 10%

Suppose the Cost price of iron is $x$

So, selling price is $0.9x$

This price must be equal to $25425$ + VAT

$\Rightarrow 0.9x=25425-0.13(0.9x)\\\Rightarrow 0.9x+0.117x=25425\\\Rightarrow 1.017x=25425\\\Rightarrow x=\text{Rs }25,000$

Thus, the cost price is $Rs.25,000$

5 0

2 years ago

Sally walked 3/4 mile east from her house to the bank, then she walked 1/3 mile west to the gift shop. From the gift shop she wa

Verdich [7]

.333333333 and so on

3 0

3 years ago

Traeq pays 35.34 for 3.1 pounds of salmon. What is the price per pound of salmon

Morgarella [4.7K]

$11.40 because you just divide 35.34 by 3.1

3 0

3 years ago