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____ [38]
3 years ago
14

If WX = x + 5 and XY = 3x - 13, then what is the value of x?

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

x = 9

Step-by-step explanation:

Given

WX = x + 5

XY = 3x - 13,

Required

Find x

To do this, I will assume WX = XY.

So, we have:

x + 5 = 3x - 13

Collect Like Terms

x - 3x = -5 - 13

-2x = -18

Divide by -2

x = 9

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If x+y=10 and x-y=4,find the value of x*x-y*y
Irina18 [472]
Hi,
x^2-y^2=(x+y)*(x-y)=10*4=40
6 0
4 years ago
The dot plots show the heights of boys and girls at a summer camp.
joja [24]

Answer:

First choice:

  • <em><u>Most of the data in each plot are greater than 48.</u></em>

Explanation:

1. Boy's Heights.

Using the information you can create a frequency table:

Heigth    Frequency

40                   0

41                     1

44                    3

46                    3

48                    2

50                    3

52                    4

54                    4

56                    0

58                    0

60                    0

                   ======

                      20 boys

2. Girl's Heights.

Similarly, create your frequency table:

Height        Frequency

40                      0

41                       0

42                      0

44                      2

46                      3

48                       1

50                      3

52                       4

54                       3

56                       4

58                       0

60                       0

                      ======

                        20 girls

<em>Which is a true statement for most of the data in each plot?</em>

<u><em>Most of the data in each plot are greater than 48.</em></u>

  • Count the dots or add the frequencies from the tables.

  • For boys, the frequency of points greater than 48 is: 3 + 4 + 4 = 11 which is more than half (there are 20 dots).

  • For girls, the frequency of points greater than 48 is: 3 + 4 + 3 + 4 = 14, which is also more than half.

Hence, it is correct that most fo the data in each plot are greater than 48.

5 0
4 years ago
Read 2 more answers
A tank in the shape of a right rectangular prism measures 10 inches long, 5 inches wide, and 7 inches tall. The tank is filled w
fgiga [73]

Answer:

Approximately 149 cubic centimeters of water

Step-by-step explanation:

step 1

Find the volume of water in the tank

The volume of a rectangular prism is equal to

V=LWH

we have

L=10\ in\\W=5\ in\\H=7\ in

substitute

V=(10)(5)(7)=350\ cm^3

step 2

Find the volume of the cylindrical container

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=4/2=2\ in ---> the radius is half the diameter

h=1.6\ in

\pi =3.14

substitute

V=(3.14)(2)^{2}(1.6)

V=20.096\ cm^3

step 3

To find out how much water is still in the tank, subtract the volume of 10 containers of water from the volume of the tank

so

350-(10)(20.096)=149.04\ cm^3

therefore

Approximately 149 cubic centimeters of water

4 0
3 years ago
Choose the equation below that represents the line passes to the point (7,-2) an the slope of -3
katrin [286]
Hello there!
 The answer is c because the equation that is being used is point-slope, which is:
y-y1=m(x-x1)
hope this helps
8 0
3 years ago
What is the average rate of change from x = 0 to x = −2?
Sergio039 [100]
<h3>Answer is    -3</h3>

How I got that answer:

The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-2-0)

m = (2 + 4)/(-2-0)

m = 6/(-2)

m = -3

A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.

7 0
3 years ago
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