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1 year ago

Which equation, when solved gives the 8 the value of X?

Mathematics

2 answers:

andreev551 [17]1 year ago

7 0

Answer:

Step-by-step explanation:

anastassius [24]1 year ago

5 0

Answer: your answer is C

Step-by-step explanation:

5x/4 -2=6x/4-4

+4 +4

5x/4+2=6x/4

-5x/4

2=x/4

x=8

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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

The air temperature dropped from 94°F to 72° Fahrenheit in 15 minutes what is the change in temperature

Inessa05 [86]

22° you just subtract the numbers.

8 0

3 years ago

Which is an equivalent form of the expression 1800(1.2)^-t

ololo11 [35]

Answer:

1800(5/6)^t

Step-by-step explanation:

I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.

7 0

2 years ago

Which number is a factor of 14 but not a multiple of 2

GalinKa [24]

A factor of 14 is 7, and it isnt a multiple of 2.

7 x 2 = 14

6 0

3 years ago

Read 2 more answers

21 divided by x = -7 Can you PLS SOLVE X

VikaD [51]

Answer:

EASY. x=-3

Step-by-step explanation:

You need to divide 21 by -7. You'll get the same answer as me

Hope this helped!!

8 0

3 years ago