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3 years ago

Help plz, write and solve an equality for this

Mathematics

1 answer:

loris [4]3 years ago

6 0

X
$x > 1$
If x equaled 1, the area would be 14 and the perimeter would be 20. However, 2 would result in the the area being 28 and the perimeter being 20. Of course, this equality only works if you are only using whole numbers, because certain numbers that are not whole would not leave the area bigger than the perimeter.

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Subtract the expressions.

marin [14]

Answer:

-8b - 5k + 9

Step-by-step explanation:

=(-4b + 15 - 7k) - (6 + 4b - 2k)

Taking away the brackets

=-4b + 15 - 7k - 6 - 4b + 2k

collecting like terms

=-4b - 4b - 7k + 2k + 15 - 6

= -8b - 5k + 11

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3 years ago

The total weekly earnings equal $12 per hour times the number of hours worked

Vesna [10]

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Step-by-step explanation:

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3 years ago

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Elodia [21]

Answer:

1. Both Dan and Tess are correct.

Tess:

0.15 * 24.50 = 3.675

24.5 - 3.675 = 20.825

0.1 * 20.825 = 2.0825

20.825 + 2.0825 = 22.9075

Dan:

0.85 * 24.50 = 20.825

20.825 * 1.1 = 22.9075

Both Dan and Tess used methods that provided the correct answer. Both methods follow the same path, but Dan's method simply took less steps since he used percentages that would take out the correct number, unlike Tess' percentages which would give you the number that you would then need to take out.

2. First, convert Amy's and Mike's numbers to a decimal of the whole so it is easier to compare the numbers.

13% = 0.13 of the whole

Dan has 0.14 of the whole

0.5/6 = 0.083.. of the whole

Dan used the greatest amount of milk, using 0.14 of the 6 gallon container.

2p + 12 = 58 | Create an equation to show the prices relations

2p = 46 | Take out the price of the concert ticket to leave us with the passes.

p = 23 | Divide by 2 to find the cost of each pass.

x ≤ (18 - 6.5 - 5.75)/1.15

18 - 6.50 = 11.5 | Take out the price of the notebook from the total.

11.5 - 5.75 = 5.75 | Take out the amount of money that she wishes to save.

5.75 / 1.15 = 5 | Divide by the price of each candy to find the max amount that she can buy.

Andrea has enough money to buy up to 5 candy bars.

x ≤ 5

8 0

3 years ago

Read 2 more answers

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

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3 years ago