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Neporo4naja [7]

2 years ago

13

(200-50) + 50 * 2 in hurry

2 answers:

Neko [114]2 years ago

5 0

Answer: 400

Step-by-step explanation:

200-50=150+50=200*2=400

Are you just posting your questions for an assignment?

Ronch [10]2 years ago

5 0

Answer:

(150) + 100 = 250.........

Step-by-step explanation:

Hope it helpzz

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A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0

2 years ago

Paige Sanders bought a dozen eggs at a store for 3.65. She bought the same size eggs the next week at the same store for 2.92. W

algol13

The percent of decrease is $0.73. To get that subtract 3.65-2.92 which equals 0.73.

Hope it helps

6 0

3 years ago

Classify the following triangle. Check all that apply

grandymaker [24]

Answer:

D, E

Step-by-step explanation:

All sides are not the same length so not A

Two sides are not the same length so not B

Not all angles are less than 90 so not C

All sides are different length so D

There is a right angle so E

Not all sides are greater than 90 so not F

4 0

3 years ago

Pi is an irrational number. could pi = 22/7? why or why not?

Marina CMI [18]

No, it can't.

Irrational numbers are numbers that cannot be expressed as fractions.

So therefore, Pi cannot equal 22/7.

4 0

3 years ago

Read 2 more answers

10. The value of the 8th term is 78.

Yuri [45]

Answer: The answer is 88

Step-by-step explanation: It is recursive because you can add 78+10=88

5 0

3 years ago