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2 years ago

On Friday, io of the students at a school were wearing white shirts and of the students were wearing blue

Mathematics

2 answers:

Sonbull [250]2 years ago

5 0

Answer:

d is the right answer

vazorg [7]2 years ago

4 0

Answer:

I can't tell

Step-by-step explanation:

bcos there is no quantity or number... sorry

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Ameekah is working with consecutive integers

Irina-Kira [14]

Consecutive numbers: 1, 2, 3, 4, 5.

As we can see it's the latest plus 1

So,

x, x + 1, x + 1 + 1, x + 1 + 1 + 1

x, x + 1, x + 2, x + 3 and so on

So it's x + 1.

7 0

3 years ago

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wilson jarred 45 liters of jam after 5 days. how much jam did wilson jar if he spent 7 days making jam? solve using unit rates.

Natali5045456 [20]

45/5 = 9 jams a day
x/7 = 9
x= 63 jams a day

Hope this helps!

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3 years ago

Surface area and volumes formula

andrey2020 [161]

Step-by-step explanation:

Surface area of what shape or solid ?

7 0

3 years ago

What is the answer to 5−2x^2=37

Strike441 [17]

Answer:

x= 4i or -4i

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped :)

4 0

3 years ago

Read 2 more answers