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IceJOKER [234]
2 years ago
15

Help plz this is really hard for me

Mathematics
2 answers:
Alenkasestr [34]2 years ago
3 0

Answer:

Improper fraction: 13/10

Mixed number: 1 3/10

Decimal: 1.3

Step-by-step explanation:

Find common denominator: which is 30

Make each denominator equal 30, affecting the whole fraction:

6•2/15•2 + 3•3/10•3 + 3•6/5•6 =

12/30 + 9/30 + 18/30 = 39/30

Simplify: 39/30, divide both by 3: 13/10

And there is our answer!

Hope this helps, good luck! :D

Stolb23 [73]2 years ago
3 0

Answer:

39/30

Step-by-step explanation:

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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
Explain how you can tell that 31/33 is in simplest form
shtirl [24]
Well 31 is not able to go any were and it has to stay 31
3 0
3 years ago
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What is the measure of angle x? <br><br> please hurry
lawyer [7]
It should be 140 degrees.
3 0
3 years ago
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A section of road covers 18.3 square feet. Each square foot will require 5.1 minutes to repair. How many total minutes will it t
geniusboy [140]

All you have to do is multiply 18.3 x 5.1

18.3×5.1=93.33

It will take 93.33 minutes to repair the entire section. Hope that helps!

8 0
3 years ago
Read 2 more answers
1. If x+ 2 = 7, then x=5.<br> Converse:<br> Inverse:<br> Contrapositive:
fenix001 [56]

Answer:

Converse: if 5=x then x+2=7

Inverse: if x+2 doesnt = 7 then x isnt 5

Contrapositive: if x doesnt equal five then x plus two doesnt equal seven

Step-by-step explanation:

We just did this last week :)

7 0
3 years ago
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