All categories

2 years ago

A rectangle is twice as long as it is wide. If its area is 50 sq. yd., find the length.

1 answer:

5 0

A = L * W
A = 50
L = 2W

50 = W(2W)
50 = 2W^2
50/2 = W^2
25 = W^2
sqrt 25 = W
5 = W

L = 2W
L = 2(5)
L = 10 <==length is 10 yd

You might be interested in

A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given

pychu [463]

Answer: The distribution of the data set is positively skewed.

Explanation:

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, $Mean = Median=Mode$

For positively skewed distribution, $Mean > Median>Mode$

For negatively skewed distribution, $Mean < Median$

The mean of the given data set is given below:

$Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}$

$=\frac{753}{26}$

$=28.96$

Now, the Median is:

To find the median we need to sort the data in ascending order as:

$20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54$

$Median=\left(\frac{N+1}{2} \right)^{th} item$

$=\left(\frac{26+1}{2}\right)^{th} item$

$=13.5^{th} item$

$=26+0.5 \times (27-26)$

$=26.5$

$\therefore Median = 26.5$

The mode is the most frequently occurring observation. Therefore the mode is:

$Mode=23$

Since the $Mean >Median>Mode$ , therefore the distribution of the given data set is positively skewed.

5 0

3 years ago

Is -2(3x-7) equivalent to 19+12x-5-6x? YES or NO???

nadezda [96]

Answer:

6. 6x-21=33+9x 7. -15x=-5(3x+7) 8. 16x-19=113-6x 9. -19x-34=56-x 10. -6(4x+3)=6(4x-3)?

6. 6x-21 = 33 +9x

+21 + 21

6x = 54 + 9x

-9x -9x

-3x = 54

/3 /3

x = -18

7. -15x = -5(3x+7)

First multiply the -5 to the other numbers.

-15x = -15x - 35

0x = -35

7 is impossible I believe.

8. 16x-19 = 113-6x

+6 +6

22x - 19 = 113

+ 19 +19

22x = 132

/22 /22

x = 6

9. -19x - 34 = 56 - x

+19x +19x

-34 = 56 + 18x

-56 -56

-90 = 18x

/18 /18

x = -5

10. -6(4x+3) = 6[4x-3]

-24x - 18 = 24x - 18

+18 +18

-24x= 24x

x = 0, since only zero can make the equation true.

7 0

3 years ago

The diameter of a parabolic mirror is 22 centimeters, and the mirror has a depth of 0.5 centimeters at the center. What is the e

a_sh-v [17]

1/242x^2 is your answer

6 0

3 years ago

8 divided by 2 4/9 plz help me now

dezoksy [38]

Answer:

3.27272727273

Step-by-step explanation:

you simplify the fraction then you make 8 into 8/1 then you divide and if you want decimal its 3.27272727273

7 0

2 years ago

6x-4y=-14 -3x-3y=12 with the elimination method

Vanyuwa [196]

6x-4y=-14
2(-3x-3y=12)

6x-4y=-14
-6x-6y=24

-10y=10
Divide both sides by 10
-1y=1 divide by -1
y=-1

6x-4(-1)=-14
6x+4=-14
-4 -4
6x=-18
Divide both sides by 6
x=-3

8 0

2 years ago