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3 years ago

Toe rings $6 wants to profit 90%

1 answer:

8 0

90% of $6 is $5.40

So, you have to use 60 cents to make the toe rings. If you sell them for $6, then you will profit 90%

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The manufacturer of a wooden feeding trough for farm animals makes the sides and bottom of the trough 1 foot thick. The outer he

Tju [1.3M]

Answer:

outer width of trough = outer height of trough = x = 4ft

outer length of trough = 2x = 8ft

Step-by-step explanation:

Let,

x = outer width of trough = outer height of trough

Now, according to given condition:

2x = outer length of trough

Now we calculate the inner dimensions by subtracting the thickness (1 ft)

Therefore,

x - 2(1ft) = x - 2ft = inner width of trough (because 1ft from both sides will be subtracted)

x - 1ft = inner height of trough (because only bottom thickness will be subtracted)

2x - 2ft = inner length of trough (because 1ft from both sides will be subtracted)

Now, for the holding volume or inside volume of trough will be:

$Inner Volume = 36\ ft^3 = inner\ height*inner\ width*inner\ length \\36 = (x - 1)(x - 2)(2x - 2)\\36 = (x - 1)(2x^2 - 6x + 4)\\36 = (2x^3 - 6x^2 + 4x - 2x^2 + 6x - 4)\\36 = (2x^3 -8x^2 + 10x - 4) \\2x^3 -8x^2 + 10x - 40 = 0\\2x^2(x-4)+10(x-4) = 0\\(x-4)(2x^2+10) = 0\\$

So, we will have three roots from this solution. Two, of them will be complex from the second factor. So, we ignore them and take the third one as our answer:

x - 4 = 0

x = 4ft

Now the outer dimensions will be:

outer width of trough = outer height of trough = x = 4ft

outer length of trough = 2x = 8ft

7 0

3 years ago

What is the mean of the values in the dot plot? Enter your answer in the box.

ziro4ka [17]

Answer:

The mean is 19.5

Step-by-step explanation:

You have to add all of the numbers up then divide by how many numbers there are.

Ex: 5, 5, 6, 7

add them up and you get 23

Divide 23 by how many numbers you have, which in this case, is 4

The answer to this example would be 5.75

4 0

3 years ago

Classify ∠2 and ∠6. Compare angle measures, and give the postulate or theorem that justifies it.

LenaWriter [7]

Answer:

Explanation

Step-by-step explanation:

Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.

4 0

3 years ago

What is the equation of the line in slope-intercept form?

lutik1710 [3]

The slope is negative and is -16 / 8 = -2

The y intercept is at y = 16

General form is y = mx + c
m = -2 and c = 16 so we have :-

y = -2x + 16 Answer

3 0

4 years ago

Last one for tonight..............MATH UGH

fomenos

Answer:

30%

Step-by-step explanation:

I believe it would be 30% chance of the person picked would be Male that has not finished the book as there is a 50% chance of male and 60% chance that they had not read it. You would multiply .5*.6 which would give you .3 and therefor you have a 30% chance that these two problems are met.

6 0

3 years ago