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3 years ago

0.39 which is best buy 0.41 0.4.

Mathematics

1 answer:

Nana76 [90]3 years ago

5 0

Answer:

0.39 because it's the cheapest / least

Step-by-step explanation:

Ok so we are trying to find the least. So first line up your decimals as shown below

<u>Tens</u> <u>Tenths</u> <u>Hundredths</u>

<h3> 0 . 3 9</h3><h3>---------------------------------------</h3><h3> 0 . 4 1</h3><h3>---------------------------------------</h3><h3> 0 . 4 0 ---> Imaginary 0</h3><h3 />

Now fill in any empty spaces with a 0 as shown in the decimal 0.4, your decimal will still have the same amount because 0.4 = 0.40 = 0.400 no matter how many 0's you put in the decimal.

When your done with placing 0's, look at the numbers in the first column, the Tens column. As you can see we have the numbers 0, 0, 0. They're all the same so we don't have to worry about that. Now lets go to the next column, the Tenths column. We have the numbers 3, 4, 4. Remember, we are finding the least amount. we know 3 is less than 4 so the decimal with the 3 in the Tenths place is the best buy. If these numbers were the same we would go on to the next place, the Hundredths place. If 2 of the decimals had a 3 in the Tenths place, you would eliminate the decimal with no 3 in the Tenths place and go on to the next place using only the decimals you have left.

So, <em>0.39</em> is the best buy.

Hope this helps you and makes Sense! :)

This is NOT copy pasted, I actually wrote all of this so that the person reading this answer can understand what I'm trying to explain.

Thank you, and have a Great Day! ;)

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2 years ago

a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made

Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

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2 years ago

Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)

vfiekz [6]

Answer:

Step-by-step explanation:

given a point $(x_0,y_0)$ the equation of a line with slope m that passes through the given point is

$y-y_0 = m(x-x_0)$ or equivalently

$y = mx+(y_0-mx_0)$ .

Recall that a line of the form $y=mx+b$ , the y intercept is b and the x intercept is $\frac{-b}{m}$ .

So, in our case, the y intercept is $(y_0-mx_0)$ and the x intercept is $\frac{mx_0-y_0}{m}$ .

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph $(x_0,\frac{1}{x_0})$ . Which means that $y_0=\frac{1}{x_0}$

The slope of the tangent line is given by the derivative of the function evaluated at $x_0$ . Using the properties of derivatives, we get

$y' = \frac{-1}{x^2}$ . So evaluated at $x_0$ we get $m = \frac{-1}{x_0^2}$

Replacing the values in our previous findings we get that the y intercept is

$(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}$

The x intercept is

$\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0$

The triangle in consideration has height $\frac{2}{x_0}$ and base $2x_0$ . So the area is

$\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2$

So regardless of the point we take on the graph, the area of the triangle is always 2.

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3 years ago

Find the 50th term of the sequence 5,-2,-9,-16 ,,,

Mademuasel [1]

Common difference is -2-5 = -7
first term is 5

a_50 = 5 -7(50-1) = -338

2) d = 3 - (-7) = 10
a = -7

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d = -27 - (-22) = -5

second -7 - 5= -12
third = -12 - 5 = -17

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3 years ago