In a survey of school students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry, 22 had taken chemistry and physics course, and 14 had taken all the three courses. Find how many had taken one course only by using Venn diagram.

Answer:

11.07

Step-by-step explanation:

2.7

x4.1

=11.07

Answer:

11.07

Step-by-step explanation:

Answer:

1) 1/2

2) 3

3)-5

Step-by-step explanation:

to find slope: divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. so here on 1) you do (3-2)/(2-0)= 1/2.

2) (7-1)/(-1- (-3))= 6/2=3.

3) (-15-0)/(7-4)= -15/3=-5

Answer:  The last expression shows the result of 3  so it models the distance between x and y.

Step-by-step explanation:

First you will have to  find the distance between the two points by square the x coordinates and squaring the y coordinates to find their sum .  

-4 - (-1) = -3

-5 - ( -5) = 0

-3^2 + 0^2 = d^2   where d  is the distance

9  = d^2

d= 3  

The distance is 3 units  

Now evaluate which expression have a solution as 3.

The last expression is the answer

the absolute value for -4 is 4   , and the absolute value for -1 is 1  and 4 minus 1 is 3.

Answer:

0.0002

Step-by-step explanation:

hope this helps

Answer:

3.428 or 3 wholes 3/7

Step-by-step explanation:

6 : 7 = n : 4 : 2

6 : 7 = n : 4

6/7 = n/4

7n = 24

n = 24 /7

n = 3. 428 or 3 wholes 3/7

Answer:

3

Step-by-step explanation:

The slope is 3 because when two lines are parallel, they have the same slope.

Answer:

Two lines that are parallel have the same slope. So in this case, the slope to the function parallel to f(x)= 3x+2 is equal to 3

Answer:

Step-by-step explanation:

(3, 1) (6, -1)

(-1 -1)/(6-3) = -2/3

y - 1 = -2/3(x - 3)

y - 1 = -2/3x + 2

y = -2/3x + 3

Answer:

3

Step-by-step explanation:

If the wire is in a square and all the sides are 5 inches when you unfold the wire it will be 20 inches long so if the length of the wire ina regtangle is 7 then the width is 3

Answer: 3.

Step-by-step explanation: The answer is 3 because the original shape was a square with all of the sides with the length 5. Because there are 4 sides in a square, the perimeter of the square is 20(5+5+5+5). Now, the square has been reshaped into a rectangle. If one of the side lengths of the rectangle is 7, the opposite and parrallel side has to be 7. 7+7 is 14. Now the expression is perimeter = 14 + 2(missing width). If you plug in 3, that expression is now 14+6, which is 20. Therefore, the missing side width is 3.  

Answer:

x = 12

Step-by-step explanation:

130 + y = 180   {linear pair}

          y = 180 - 130

         y = 50°

3x - 6 +8x + 4 + 50 = 180        {Angle sum property of triangle}

3x + 8x - 6 +  4 + 50 = 180          {Combine like terms}

          11x + 48          = 180

                    11x        = 180 - 48

                          11x = 132

                            x = 132/11

x = 12°

Answer:

Step-by-step explanation:

divide each number by 4

12/16

12/4 = 3

16/4 = 4

3/4

hope this helps <3

Answer:

560 cubes

Step-by-step explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches

Now calculate the volume of your 1/3 inch cube:

V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches

Now divide the V_box by V_cube:

Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes

Answer:

24/9 or $2.67/year

Step-by-step explanation:

Answer:

9264.5908

Step-by-step explanation:

move the decimal

Answer:

How many tenths are in the following number: 926.45908**. 1. See answer. Add answer+5 pts. Log in to add comment. sandovalkenny0209 i

Step-by-step explanation:

Answer:

Its A) y=3/2x

Step-by-step explanation:

-3/2x would be the exact opposite of 3/2x it would be the same line but facing the left side because its on the negative side. And the others are not the same as 3/2x.

Sorry if i could not explain that well, but I am 99% sure its A, y=3/2x

Answer:

where is the graph??

Step-by-step explanation:

Answer:

1) immigrant

2) citizen

3) native born-citizen

4) quotas

5) census

6) birth rate

Step-by-step explanation:

..

Answer:

42

Step-by-step explanation:

1st step: 63 divided by 3= 21

2nd step: 63- 21= 42

1 3/4 or 7/4

Ensure to heart if this helps$

Answer:

3-1*1/4

3-1/4

12-1-(/4)

11/4

Answer:

4x4 is 16

Step-by-step explanation:

mmmm lemme guess.. is it 736??:o

Answer:

Slope of XZ = -5/9

Slope of YZ  = 2/7

Slope of XY  = -7/2

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

For XZ

X(−5, 5), and Z(4, 0)

Slope of XZ = 0-5/4-(-5)

Slope of XZ = -5/4+5

Slope of XZ = -5/9

For YZ

Y(−3, −2), and Z(4, 0).

Slope of YZ = 0-(-2)/4-(-3)

Slope of YZ = 2/4+3

Slope of YZ  = 2/7

For XY

X(−5, 5), Y(−3, −2)

Slope of XY = -2-5/-3-(-5)

Slope of XY = -7/-3+5

Slope of XY = -7/2

For two lines to be perpendicular, the product of their slope must be -1

Taking the product of XY and YZ

mXY * mYZ = -7/2 * 2/7

mXY * mYZ  = -1

since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle

Answer:

9

Step-by-step explanation:

first add 4

3x=27

divide 3

x=9

Answer:

= 9

Step-by-step explanation:

3 − 4 = 2 3

Add 4 to both sides of the equation:

3 − 4 + 4 = 2 3 + 4

Simplify:

3=27

Divide both sides of the equation by the same term:

3/3=27/3

Cancel terms that are in both the numerator and denominator:

=27/3

Divide the numbers:

x=9

Done!

Answer:

3.141592653589793238462643

Step-by-step explanation:

Pretty obvious.

what an "Nerd"

Answer: 3v

Step-by-step explanation:

Answer:

An equation in the slope-intercept form is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  m is the rate of change or slope and b is the y-intercept

Given

Given that every month Monica withdraws $15 from this account for her contact lenses

Given that after 3 months she has $255 left in her account.

i.e. (3, 255)

substituting [tex]m = 15[/tex], [tex]x = 3[/tex] and [tex]y = 255[/tex] in the slope-intercept form to determine the y-intercept

[tex]y = mx+b[/tex]

[tex]255 = 15(3) + b[/tex]

switch sides

[tex]15(3) + b = 255[/tex]

[tex]45 + b = 255[/tex]

[tex]b = 255 - 45[/tex]

[tex]b = 210[/tex]

Thus, the y-intercept b = 210

Now, substituting [tex]m = 15[/tex] and [tex]b = 210[/tex] in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 15x+210[/tex]

Hence, an equation in the slope-intercept form is:

Answer:

Scale factor = 1/2

Explanation:

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio

Answer:Scale factor = 1/2

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so: Scale Factor = purple/black

Scale factor = 10/20 = 1/2

Answer:x= 8/√3, y= 16/ √3

Step-by-step explanation:

See the picture below

Answer:

x = 12

Step-by-step explanation:

Reference angle = 45°

Opposite side length = x

Hypotenuse = 12√2

Thus, to find x, apply trigonometric ratio.

[tex] sin(45) = \frac{x}{12\sqrt{2}} [/tex]

Multiply both sides by 12√2

[tex] sin(45)*{12\sqrt{2}} = x [/tex]

[tex] \frac{1}{\sqrt{2}}*{12\sqrt{2}} = x [/tex] (sin 45 = 1/√2)

[tex] \frac{1*12\sqrt{2}}{\sqrt{2}} = x [/tex]

[tex] \frac{12\sqrt{2}}{\sqrt{2}} = x [/tex]

12 = x

x = 12

Answer:

-1/2

Step-by-step explanation:

In a linear relationship, the rate of change of one variable with respect to the other is constant. When we talk about change, we're looking for a difference of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the rate of change is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the slope, is Δy/Δx. So, using the values we've already found:

[tex]\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2[/tex]

Answer:1/2

Step-by-step explanation:

Because the other guy said so and they seem smart so...yeah I would pick that one.

Answer:

-10 - 14g

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Define

-2(5 + 7g)

Step 2: Expand