Mathematics, 14.10.2020 01:01 tuetheturtle

The dimensions of a rectangular monitor screen are such that it's length is 5 in. More than it's width. If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in^2. What are the length and width of the screen?

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Answer from: kerarucker12pe384k

Given:

Length of a rectangular monitor screen is 5 in more than it's width.

If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².

To find:

The length and width of the screen.

Solution:

Let width of the screen be x inches.

Length of a rectangular monitor screen is 5 in more than it's width. So,

Length of screen = (x+5) inches

Area of screen is

$Area=length\times width$

$A_1=(x+5)\times x$

$A_1=x^2+5x\text{ in}^2$

If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².

New length = 2(x+5) inches

New width = (x-1) inches

So, new area is

A_2=2(x+5)(x-1)

A_2=(2x+10)(x-1)

A_2=2x^2+10x-2x-10

$A_2=2x^2+8x-10 \text{ in}^2$

Area increased by 170 in².

A_2-A_1=170

(2x^2+8x-10)-(x^2+5x)=170

2x^2+8x-10-x^2-5x=170

x^2+3x-10=170

Subtract 170 from both sides.

x^2+3x-10-170=0

x^2+3x-180=0

Splitting the middle term, we get

x^2+15x-12x-180=0

x(x+15)-12(x+15)=0

(x+15)(x-12)=0

x=-15,12

Width cannot be negative. So, x=12.

Width = 12 inches

Length = 12+5 = 17 inches

Therefore, the length of screen is 17 inches and width is 12 inches.

Answer from: Quest

.25

step-by-step explanation:

Answer from: Quest

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: