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3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST EXTRA 40 POINTS DONT SKIP :(( .!

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

7 0

53 and 17

Step-by-step explanation:

If you add 53 and 17, you get 70.

If you subtract 17 from 53, you get 36. Hope this helps!

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Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl

Kobotan [32]

Answer:

The dimension of the box is 18.66 in by 2.66 in by 1.17 in.

Step-by-step explanation:

Given that, The cardboard is 21 in. long and 5 in. wide.

Assume,x be the length of the each sides of the square .

Then the length of the box is = (21-2x) in.

The breadth of the box is =(5-2x) in.

The height of the box is = length of side of the square

= x in.

The volume of the box = length × wide × height

=(21-2x)(5-2x)x

=(105-52x+4x²)x

=( $105 x-52x^2+4x^3$ )

Let

V= $105 x-52x^2+4x^3$

Differentiating with respect to x

$V'=105-104x+12x^2$

Again differentiating with respect to x

$V''=-104+24x$

To find the dimension of the box, we set V'=0

$105-104x+12x^2=0$

Applying the quadratic formula $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , here a=12, b= -104 and c =105

$\Rightarrow x=\frac{-(-104)\pm\sqrt{(-104)^2-4.12.105}}{2.12}$

$=\frac{104\pm 76}{24}$

=7.5, 1.17

For x= 7.5 , the wide of the box will be negative.

∴x=1.17 in.

$V''_{x=1.17}=-104+(24\times 1.17)$

Since at x= 1.17, V''<0 , therefore at x=1.17 in. the volume of the given box will be maximum.

The length of the box is = [21-(1.17×2)]=18.66 in.

The wide of the box is = [5-(1.17×2)]=2.66 in.

The height of the box is = 1.17 in.

The dimension of the box is 18.66 in by 2.66 in by 1.17 in.

5 0

4 years ago

Julian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each nigh

daser333 [38]

Answer:

a. He will have to read half an article per night

b. Fraction of the reading assignment read each night = $\frac{0.5}{4}=\frac{1}{8}$

Explanation:

Part a:

We are given that:

number of articles to read = 4 articles

number of nights = 8 nights

To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights

Therefore:

number of articles to read per night = $\frac{4}{8}=\frac{1}{2}$ articles per night

Part b:

Now, we know that he will read half an article each night from a total of 4 articles

To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments

Therefore:

Fraction of the reading assignment read each night = $\frac{0.5}{4}=\frac{1}{8}$

Hope this helps :)

5 0

3 years ago

Select the symbol that accurately replaces the ? Evaluate | -17 | ? | -16|

Yakvenalex [24]

>
absolute 17 would be greater because the absolute signs cancel out the negatives

8 0

3 years ago

Select the correct answer.

elena-14-01-66 [18.8K]

Answer:

bro is you making this stuff

Step-by-step explanation:

im in it for the pioints

6 0

3 years ago

What is 7/12 ÷ 2/5? Remember KCF method.

beks73 [17]

7/12 divided by 2/5 is 35/24

6 0

4 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

PLEASE HELP !! ILL GIVE BRAINLIEST EXTRA 40 POINTS DONT SKIP :(( .!