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3 years ago

23 2/5−11 4/5 Enter your answer as a mixed number in simplest form.

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

7 0

Answer:

11 3/5

Step-by-step explanation:

23 2/5-11 4/5

22 7/5-11 4/5

11 3/5

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If x/6=-3 then x= what? Algebra 1

Gelneren [198K]

If x/6=-3 then x=-18

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3 years ago

A box is to be constructed from a sheet of cardboard that is 20 cm by 50 cm by cutting out squares of length x by x from each co

Nezavi [6.7K]

We are given the dimensions of the box:

l = 50 cm

w = 20 cm

We know that the volume of a box is:

V = l w h

where h = x

However since x cuts is made on both all sides of the box, therefore the new dimensions would be:

V = (l – 2x) (w – 2x) x

V = (50 – 2x) (20 – 2x) x

V = 1000x – 100x^2 – 40x^2 + 4x^3

V = 4x^3 – 140x^2 + 1000x

To get the maxima value, we get the 1st derivative of the function then set dV/dx = 0 to solve for x:

dV / dx = 12x^2 – 280x + 1000

12x^2 – 280x + 1000 = 0

Transpose 1000 to the right side and divide everything by 12:

x^2 – (280/12)x = -(1000/12)

Completing the square:

x^2 – (280/12)x + (78400/576) = -(1000/12) + (78400/576)

[x – (280/24)]^2 = 52.78

x – (280/24) = ±7.26

x = (280/24) ± 7.26

x = 4.40, 18.93

x cannot be 18.93 since this would result in a negative value of 20 – 2x, therefore:

x = 4.40 cm

Calculating for the volume:

V = (50 – 2*4.4) (20 – 2*4.4) (4.4)

V = 2030.34 cm^3

4 0

3 years ago

WHATS THE SLOPE? I need this ASAP!!

evablogger [386]

The answer to this is 4/3

4 0

3 years ago

‼️Could someone help me it’s urgent‼️

natima [27]

What’s the question?

8 0

3 years ago

tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how

adelina 88 [10]

Answer:

23.3

(or $4\sqrt{34}$ (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

$a^{2} +b^{2} =c^{2}$

Insert values:

$12^{2} +20^{2} =c^{2}$

Solve for c:

Evaluate exponents

$144+400=c^2$

Simplify addition

$544=c^2$

Find the square root of both

$\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3$

The fence needs to be approximately 23.3 m.

5 0

3 years ago

Read 2 more answers