All categories

3 years ago

-1/8(x-4)=-4 how do i show my work

Mathematics

1 answer:

UkoKoshka [18]3 years ago

6 0

Answer: the answer is x=36

Step-by-step explanation:

Simplify \frac{1}{8}(x-4)

(x−4) to \frac{x-4}{8}

x−4

-\frac{x-4}{8}=-4

−

x−4

=−4

2 Multiply both sides by 88.

-x+4=-4\times 8

−x+4=−4×8

3 Simplify 4\times 84×8 to 3232.

-x+4=-32

−x+4=−32

4 Regroup terms.

4-x=-32

4−x=−32

5 Subtract 44 from both sides.

-x=-32-4

−x=−32−4

6 Simplify -32-4−32−4 to -36−36.

-x=-36

−x=−36

7 Multiply both sides by -1−1.

x=36

You might be interested in

Helppppppp I am so dumb sorry

maria [59]

Answer: I think the asnwer is c

Step-by-step explanation:

I suggest this because when your looking at the two different triangles your looking at the sides and the whole shape

6 0

3 years ago

Read 2 more answers

I need help on this one

umka2103 [35]

You seem to have gotten m∠2. Remember that ∠1 and ∠2 are alternate interior angles, meaning they're both equal. Since they gave you m∠1 as being 26°, you now know the measure of ∠2.

As for m∠3 and m∠4, If you look at ∠3 you'll see that it is complementary to ∠1 (They both add up to 90°), so if you subtract m∠1 from 90° you'll have found m∠3. You find m∠4 the same way.

Hope this helped.

6 0

3 years ago

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

3 years ago

Is 3/4 less than 2/10??

oksano4ka [1.4K]

Answer:

No.

Step-by-step explanation:

3/4 is not less than 2/10.

3/4 = 15/20

2/10 = 4/20

15/20 > 4/20

7 0

3 years ago

Read 2 more answers

Determine the nature of the roots:

malfutka [58]

Answer:

A. 2 distinct roots.

Step-by-step explanation:

2x^2 + 8x + 3 = 0

Finding the discriminant:

b^2 - 4ac = 8^2 - 4 * 2 * 3

= 64 - 24

= 40

The discriminant is positive but not a perfect square

So there are 2 distinct ,real, irrational roots.

5 0

3 years ago