All categories

3 years ago

the perimeter is 24 inches. a poster is 3 times as long as it is wide. what are the length and width of the poster.

Mathematics

2 answers:

kkurt [141]3 years ago

5 0

24=3x+3x+x+x add like terms
24=8x divide by 8
3÷x
plug I'm 3 for x
3×3=9 so length is 9
and width is 3

Marta_Voda [28]3 years ago

3 0

In this question the main information's are already provided. Based on them the answer to the question can be easily deduced.
Let us assume the width of the poster = x
Then the length of the rectangle = 3x
The perimeter of the rectangle = 24 inches
we already know
Perimeter = 2 ( Length + width)
24 = 2( 3x + x)
24 = 2 * 4x
24 = 8x
x = 24/8
= 3
So the width of the rectangle is 3 inches
Length of the rectangle = 3x
= 3 * 3
= 9
So the length of the rectangle is 9 inches.

You might be interested in

What is the measure of the larger angle in this degree?

Pie

Answer:

A straight line is equivalent to 180 degrees with that in mind,

(2.4x)+(9.6x)=180
2.4x+9.6x=180
12x=180
12x/12=180/12
x=15

Now to find the measurement of the larger angle,

9.6*15=144
Just in case you need it
180-144=36
Which is your smaller measurement.

5 0

3 years ago

A number is chosen at random from 1 to 25. Find the probability of selecting

pogonyaev

Answer:

Step-by-step explanation:

8 0

3 years ago

What is the value of the expression

Neko [114]

Hello!

Answer:

12(3+4+5+...+12+13)= 1,056

Step-by-step explanation:

After evaluating the expression it gave me : 1,056

Hope this helps!

3 0

3 years ago

In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of

vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X Southwest , Y X^2 Y^2 XY

45.96 38.76 2112.3216 1502.3376 1781.4096

46.8 45.41 2190.24 2062.0681 2125.188

47.93 15.7 2297.2849 246.49 752.501

51.78 49.58 2681.1684 2458.1764 2567.2524

52.17 44.34 2721.7089 1966.0356 2313.2178

47.36 18 2242.9696 324 852.48

Total 292 211.79 14245.6934 8559.1077 10392.0488

Sample size: n =6

Now

$S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27$

$S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03$

$S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94$

The coefficient of correlation is :

$r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436$

7 0

3 years ago

A) The y-intercept of the line with the largest slope

lord [1]

Answer:

a) the largest y-intercept is 1

b) 13.5

c) y=x-3

d) 8

Step-by-step explanation:

the question was worded very strangely and I will answer the way I precieved it.

for question d, I simply considered the question to be asking what is X when y is 17 and since the equation of that line is 2x-1

5 0

3 years ago