3.9p − 7.53 = 8p + 9.77 + 8.94

A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a ubiform border. What is

zlopas [31]

Answer:2 in.

Step-by-step explanation:

Given

Dimension of photo frame is $20\ in.\times 24\ in.$

If the photo cover an area of $320\ in.^2$

Suppose x be the width of border

Therefore dimension of frame without border is

$A'=(20-2x)(24-2x)$

And $A'$ must be equal to $320\ in.^2$

So,

$\Rightarrow (20-2x)(24-2x)=320$

$\Rightarrow (10-x)(12-x)=80$

$\Rightarrow 120-10x-12x+x^2=80$

$\Rightarrow x^2-22x+40=0$

$\Rightarrow x^2-20x-2x+40=0$

$\Rightarrow (x-2)(x-20)=0$

Thus there are two values of x out of which $x=20\ in.$ is not valid because it is not feasible

thus width of border is $x=2\ in.$

5 0

3 years ago

Clara lends half of her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 atti

UNO [17]

Answer:

clara had 16 but she gave half that leaves us with 8 + 4 gives u 12

Step-by-step explanation:

srry expalined in the answer

4 0

4 years ago

Please help with graph question

gtnhenbr [62]

1. As you can see in the figure attached in the problem, you have the following system:

y≥5x-4 (i)
y≤5x/6 (ii)

2. When you solve the system, the values of the variables "x" and "y", are:

x=24/25
y=4/5

3. When you graph the system, you obtain the graph shown in the image attached.

3 0

4 years ago

2x-y+52=16<br> X-6у +2z=-9<br> 3x+4y- z=32

Archy [21]

The solution to the given system of equation is (3, 3, 3)

<h3>Solving system of equations</h3>

Given the following system of equation expressed as:

2x-y+5z=16

X-6у +2z=-9

3x+4y- z=32

Multiply equation 2 by 2 to have:

2x-y+5z=16

2X-12у +4z=-18

Subtract

10y+z = 34 .........4

Similarly

3X-18у +6z=-27

3x+4y- z=32

Subtract

-22y+7z = -59 ........... 5

Equate 4 and 5

10y+z = 34 .........4 * 7

-22y+7z = -59 ........... 5 * 1

_______________________

70y+7z = 238

-22y+7z = -59

Subtract

92y = 297

y = 3

Recall that

10y+z = 34

10(3) + z = 34

z = 3

Since x - 6y +2z = -9

x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3

Hence the solution to the given system of equation is (3, 3, 3)

Learn more on system of equation here: brainly.com/question/25976025

#SPJ1

4 0

2 years ago

In a painting, The Great Pyramid of Giza is 45 centimeters tall.

777dan777 [17]

Answer:

The scale is: 1 cm = 3.26 meter

Step-by-step explanation:

Given

Height of Pyramid in Painting = $H_p = 45 cm$

Actual Height of Pyramid = $H_a = 146.5m$

In order to find the scale, we can find the ratio between actual height and height in painting.

The ratio can be found by dividing the actual height by height in painting

$Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm$

Rounding off to nearest hundredth

= 3.26

This means that the scale is:

1 cm = 3.26 meter

6 0

3 years ago