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3 years ago

What step gets you closer to the solution of this equation 5•(x-2)=7

Mathematics

1 answer:

viktelen [127]3 years ago

5 0

You do 5 times x and -2 so you’d get 5x-10=7. Then add 10 to both sides to get 5x=17 and divide 17/5 to get 3.4

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An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn

Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43 inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24, this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative value ( -49.7) so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0

3 years ago

The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total.

puteri [66]

Answer:

84:56, I think?

3 x 28 for the boys then minus 28 for the girls

3 0

3 years ago

Computer geometric modeling is used regularly to help design solid figures we see and use every day. Software programs use techn

Stella [2.4K]

The geometric modeling is analyzed below.

<h3>How to illustrate the information?</h3>

Basic shapes are generally created using points, lines, circles, and triangles. Some basic shapes are rectangles, ellipses, triangles, and curves.

In geometric modeling, we make a cad model of parts for virtual analysis. By geometric modeling, one can model, and perform CAE analysis to optimize the product.

The best part is the period of doing all this is very small compared to practical manufacturing and looking at the product. In CAD one can very quickly alter the design and come up with new concepts in a very small span of time.

Here chances of error can be shorted easily and there is no wastage of material hence cost saving is there compared to practically manufacturing the part and altering it.

Learn more about modelling on:

brainly.com/question/28015639

#SPJ1

5 0

2 years ago

Help Me With This Question Please!

leva [86]

Answer:

73°

Step-by-step explanation:

3x + x - 17 + 2x - 61 = 360°

6x - 78 = 360°

6x = 438°

x = 73°

6 0

3 years ago

Read 2 more answers

Brainiest If Correct + 50pts ---The cylinder with base radius 5 and height 12 is inscribed in a right rectangular prism. Find th

Romashka [77]

Answer:

SA = 680 units^2

V =1200 unit^3

Step-by-step explanation:

If the radius is 5 then the diameter is 2r = 2*5 = 10

The height would remain the same

Surface area of a prism is given by

SA = 2 (lw+lh+hw)

l =d = 10 w = d = 10 h = 12

SA = 2 ( 10*10 + 10 * 12+ 12* 10)

SA = 2( 100+120+120)

SA = 2(340)

SA = 680 units^2

V = l*w*h = 10*10*12 =1200 unit^3

4 0

4 years ago