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3 years ago

Unit Exam: Rational Numbers

Mathematics

1 answer:

Minchanka [31]3 years ago

8 0

Assuming that you’re asking for a fraction of 0.31 where 31 repeats?

31/99

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A lay came to the market to sell eggs . We first customer bought 1/2 of all her eggs and 1/2 of an egg. Her second customer boug

Bezzdna [24]

Given:

First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg.

Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.

At this point she had sold all her eggs.

To find:

The number of egg the lady have when she came to the market.

Solution:

Let x be the number of egg that the lady have when she came to the market.

First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg. So, the number of remaining eggs after first customer is

$x-\dfrac{1}{2}x-\dfrac{1}{2}=\dfrac{x}{2}-\dfrac{1}{2}$

Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg. So, the number of remining egg after second customer is

$\text{Remaining eggs}=\dfrac{x}{2}-\dfrac{1}{2}-(\dfrac{x}{2}-\dfrac{1}{2})\times \dfrac{1}{2}-\dfrac{1}{2}$

$=\dfrac{x}{2}-\dfrac{1}{2}-\dfrac{x}{4}+\dfrac{1}{4}-\dfrac{1}{2}$

$=(\dfrac{x}{2}-\dfrac{x}{4})+(-\dfrac{1}{2}+\dfrac{1}{4}-\dfrac{1}{2})$

$=(\dfrac{2x-x}{4})+(\dfrac{-2+1-2}{4})$

$=\dfrac{x}{4}-\dfrac{3}{4}$

At this point she had sold all her eggs. It means the remining eggs is 0.

$\dfrac{x}{4}-\dfrac{3}{4}=0$

$\dfrac{x}{4}=\dfrac{3}{4}$

Multiply both sides by 4.

$x=3$

Therefore, the lady came to the market is with 3 eggs.

8 0

3 years ago

What's 54 divied by blank =6 is it 6,7,8,or 9

andrew11 [14]

54/x = 6...multiply both sides by x
54 = 6x...divide both sides by 6
54/6 = x
9 = x

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3 years ago

Is the sequence -2, -10, -50, -250 arithmetic?

Elena L [17]

This is not an arithmetic sequence.

It does not go up or down by the same amount each time.

It is a geometric sequence

it is multiplied by 5 each time

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3 years ago

Nnie is renting an apartment and sees in the rental agreement that each year they will raise the rent by 5%. The rent when she f

lakkis [162]

C.) y = 850(1.05)^x
It should be exponential grow.

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3 years ago

Read 2 more answers

Kayla Can buy 2 pounds of bananas for $7. Write an equation to represent the cost , c, for b bananas.

gregori [183]

Well this is kind of difficult because we have no way to determine a constant for each banana; however, we can still formulate an equation to form some sort of solution.

$2 \: lbs \: bananas = 7 \: dollars$
Divide both sides by two:

$1 \: lbs \: bananas = 3.50 \: dollars$

Now, we can continue to go forward as long as know how many pounds each banana bunch weighs and how many bananas are in the bunch.

We could say there are "x" bananas in each pound of bananas:

$x \: bananas \div 1 \: lbs \: bananas = 3.50 \: dollars$
Or:

$b \div 1 \: lbs \: bananas = 3.50c$
Or to isolate "c":

$(b \div 1 \: lbs \: bananas) \div 3.50 = c$

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3 years ago