100 students are interviewed to see which of biology, chemistry or physics they prefer.
39 of the students are girls. 21 of the girls like biology best.
16 of the boys prefer physics.
11 out of the 34 who prefer chemistry are girls.
What percentage of the students prefer biology?
.​

Answer:

for every 2 seniors there are 3 juniors or 2:3

The ratio of seniors to total students will be 2: 5.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

There are 10 seniors and 15 juniors in a gym class.

The total number of students will be given as,

Total students = 10 + 15

Total students = 25

Then the ratio of seniors to total students will be given as,

Ratio = Seniors / Total student

Ratio = 10 / 25

Ratio = 2 / 5

The ratio of seniors to total students will be 2: 5.

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Using proportions, we have that:

6. From the last pool, 46.43% of voters were for the candidate.

7. Janie makes the triple amount of Jenny.

8. The balance has increased by 3.02% during the year, not 3%.

9. The statement that 10% of the students in the class are men with blond hair is correct.

10. There is a intersection between the percentages of Democrats and of union members, hence we can not affirm that the sets are independent and that 18% of the voters are Democrats who are union members.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item 6, we have that:

Hence:

1.4x = 65

x = 65/1.4

x = 46.43%.

From the last pool, 46.43% of voters were for the candidate.

For item 7, we have that 200% more than a measure is given by:

x + 2x = 3x.

As the measure by itself is of 100%, hence:

Janie makes the triple amount of Jenny.

For item 8, we have that:

Hence the yearly increase is given by:

1.01 x 1.02 = 1.0302 = 3.02%.

The balance has increased by 3.02% during the year, not 3%, because the 2% increase on the second semester is over the 1% increase in the first semester, hence the coefficients are multiplied.

For item 9, we have that:

Hence:

0.2 x 0.5 = 0.1.

The statement that 10% of the students in the class are men with blond hair is correct.

For item 10, we have that:

There is a intersection between the percentages of Democrats and of union members, hence we can not affirm that the sets are independent and that 18% of the voters are Democrats who are union members.

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Answer:

would you mind if you break it down more and explain it much more I'm confused when I look at the question

Answer:

D

Step-by-step explanation:

Answer:

the y coordinates are opposite numbers

Answer:

The answer is 120 inches

Step-by-step explanation:

900 is the area the area of a rectangle is A=lw

So 900=30w

900/30=w

30=w

multiply 30 by 4 to get the perimeter

Answer:

The answer is 3

Step-by-step explanation:

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between (-5,8) and (-3,1) is

[tex]d=\sqrt{(-3-(-5))^2+(1-8)^2}[/tex]

[tex]d=\sqrt{(-3+5)^2+(-7)^2}[/tex]

[tex]d=\sqrt{(2)^2+(-7)^2}[/tex]

[tex]d=\sqrt{4+49}[/tex]

[tex]d=\sqrt{53}[/tex]

Therefore, the distance between two points (-5,8) and (-3,1) is [tex]\sqrt{53}[/tex] units.

Answer:    

Step-by-step explanation: Hope this helped :)

She should/could obtain a bachelor's degree from a university or pass licensing examinations. She could also get a master's degree in an engineering sub-discipline and work experience in the subject. Last but not least, she might pursue more professional certification or join professional associations.

Answer:

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

8). Slope of the line passing through (0, 4) and (-1, 6) will be,

Slope = [tex]\frac{6-4}{-1-0}[/tex]

          = -2

9). Slope of a line passing through (10, 15) and (9, 0),

Slope = [tex]\frac{15-0}{10-9}[/tex]

          = 15

10). Slope of a line passing through (0, -9) and (4, -7),

Slope = [tex]\frac{-9+7}{0-4}[/tex]

          = [tex]\frac{1}{2}[/tex]

11). Slope of a line passing through (2, 20) and (4, 17),

Slope = [tex]\frac{20-17}{2-4}[/tex]

          = [tex]-\frac{3}{2}[/tex]

The remaining paper after the nth person cuts off their fraction is given by:

n                 A(n)

0                 80

1                  60

2                 45

3                 33.75

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

After the first person cuts off 1/4, the piece of paper left is given by:

Fraction = 1/4 × 80

Fraction = 20

Remainder = 80 - 20 = 60 square inches.

After the second person cuts off 1/4, the piece of paper left is given by:

Fraction = 1/4 × 60

Fraction = 15

Remainder = 60 - 15 = 45 square inches.

After the second person cuts off 1/4, the piece of paper left is given by:

Fraction = 1/4 × 45

Fraction = 11.25

Remainder = 45 - 11.25 = 33.75 square inches.

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Complete Question:

A piece of paper has an area of 80 square inches. A person cuts off 1/4 of the piece of paper. Then a second person cuts off 1/4 of the remaining paper. A third person cuts off 1/4 what is left, and so on.

Complete the table where A(n) is the area, in square inches, of the remaining paper after the nth person cuts off their fraction.

Answer:

28.9

Step-by-step explanation:

3+5(6.2)-(24-9(2.1))

3+31-(5.1)

34-5.1

28.9

Answer:

28.9

Step-by-step explanation:

Answer:

Average rate of change = 3

Step-by-step explanation:

here   a = -3 and b = 4

⇒ Average rate of change = f(b) - f(a)  / b - a

                                            = (27 - 6) / (4 - (-3))

                                            = 21 / 7

                                            = 3

Therefore, Average rate of change = 3

Answer:

130

Step-by-step explanation:

Answer:

130 (C)

Step-by-step explanation:

We have a translation 3 units downwards and 4 units to the right. So the equation is:

g(x) = ∛(x - 4) - 3

We know that g(x) is a transformation of the parent cube function, which is f(x) = ∛x

If we look at the image, we can see that the graph of g(x) is exactly like the graph of f(x), but translated 3 units downwards and 4 units to the right.

A vertical translation of N units is written as:

g(x) = f(x) + N

A translation of 3 units downwards is written as:

g(x)= f(x) - 3

A horizontal translation of N units is written as:

g(x) = f(x + N)

Then a translation of 4 units to the right is:

g(x) = f(x - 4) - 3

Replacing the function f(x) we get:

g(x) = ∛(x - 4) - 3

That is the transformed function. So the correct option is D

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Answer:

Length of third side is: [tex]\mathbf{8m^3-4m^2+3m}[/tex]

Step-by-step explanation:

Perimeter of triangle = [tex]18m^3+2m^2-m[/tex]

Length of side 1= [tex]5m^3+3m^2-2m[/tex]

Length of side 2= [tex]5m^3+3m^2-2m[/tex]

We need to find length of third side.

The formula used is: [tex]Perimeter \:of\:triangle=Sum\:of\:all\:sides[/tex]

Putting values and finding length of third side.

[tex]Perimeter \:of\:triangle=Sum\:of\:all\:sides\\18m^3+2m^2-m=5m^3+3m^2-2m+5m^3+3m^2-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=5m^3+5m^3+3m^2+3m^2-2m-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=10m^3+6m^2-4m+Length\:of\:3rd\:side\\Length\:of\:3rd\:side=18m^3+2m^2-m-(10m^3+6m^2-4m)\\Length\:of\:3rd\:side=18m^3+2m^2-m-10m^3-6m^2+4m\\Length\:of\:3rd\:side=18m^3-10m^3+2m^2-6m^2-m+4m\\Length\:of\:3rd\:side=8m^3-4m^2+3m[/tex]

So, Length of third side is: [tex]\mathbf{8m^3-4m^2+3m}[/tex]

Answer: The answer is A and D

Step-by-step explanation: If you go through all the problems, just replace "b" with "(4)" into a calculator. For A and D, they both equaled 180.

The coordinates of the vertices of the image of the triangular figure with vertices (-5, -3), (-2, -9), (-5, -8) are the points (3, 3), (6, -5), (7, -2)

A reflection transformation is one in which the image points are mirrored about a line of reflection.

The coordinates of the vertices of the triangle following a reflection about the line y = -2·x - 3 can be found as follows;

The coordinates of the vertices of the triangle are; (-5, -3), (-2, -9), (-5, -8)

The slope of the line y = -2·x - 3 is m₁ = -2, therefore, the slope, m₂ of the line of reflection is m₂ = -1/(-2) = 1/2

The equations of the line of reflection are therefore;

y = (1/2)·(x + 5) - 3 = 0.5·x - 0.5

y = 0.5·x - 0.5

The point of intersection can therefore be found as follows;

0.5·x - 0.5 = -2·x - 3

Which indicates, using an online calculator, x = -1

y = 0.5 × (-1) + 0.5 = 0

The point of intersection of the line from (-5, -3) to the image and the line of reflection  is (-1, 0)

(x₁ + x₂)/2 = -1

(-5 + x₂)/2 = -1

x₂ = 3

Similarly; (y₁ + y₂)/2 = 0

(-3 + y₂)/2 = 0

y₂ = 3

The image of the point (-5, -3) following a reflection is (3, 3)

Equation of the line from point (-2, -9) is; y = 0.5·(x + 2) - 9

y = 0.5·x + 1 - 9 = 0.5·x - 8

The point of intersection is; 0.5·x - 8 = -2·x - 3

Which indicates x = 2 and y = -7

(x₁ + x₂)/2 = 2

(-2 + x₂)/2 = 2

x₂ = 6

Similarly; (y₁ + y₂)/2 = -7

(-9 + y₂)/2 = -7

y₂ = -5

The coordinate of the point (-2, -9) following a reflection about the line y = -2·x - 3 is (6, -5)

The equation from the perpendicular line to the line of reflection from the point (-5, -8), is; y = 0.5·(x + 5) - 8 = 0.5·x + 2.5 - 8 = 0.5·x - 5.5

y = 0.5·x - 5.5

The point of intersection with y = -2·x - 3 is therefore at the point; 0.5·x - 5.5 = -2·x - 3

x = 1

y = -5

(x₁ + x₂)/2 = 1

(-5 + x₂)/2 = 1

x₂ = 7

Similarly; (y₁ + y₂)/2 = -5

(-8 + y₂)/2 = -5

y₂ = -2

The coordinate of the point (-5, -8) following a reflection about the line y = -2·x - 3 is (7, -2)

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Step-by-step explanation:

hey i hope this helps

its kind of blurry but u can still see the answer

Good for you mary.

Lol is there a question? I'll answer it if so

Answer:

graph -4/1  and y intercept is 1

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

v=3/25

d=3/25 * 20=12/5=2.4

hope this help

Answer:

4

Step-by-step explanation:

Let's first simplify all terms, then convert them to /10:

42/12 = 7/2 = 35/10

85/25 = 17/5 = 34/10

117/30 = 39/10

Then the final addition is:

(35-34+39)/10 = 40/10 = 4

Answer:

The translated image point would then be (10, -6) (10, -6)

Step-by-step explanation:

The image point of (7,-5)(7,−5) after a translation right 3 units and down 1 unit is (4,-6)(4,−6)

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Now the given points are,

(7,-5)(7,−5)

So, when the image points translates right 3 units there is change in x coordinate. Thus,

(7,-5)(7,−5)

= (7-3,-5) (7-3,−5)

= (4,-5)(4,−5)

and, when the image points translates down 1 unit there is change in y coordinate. Thus,

(4,-5)(4,−5)

= (4,-5-1)(4,−5-1)

= (4,-6)(4,−6)

Thus, the image point of (7,-5)(7,−5) after a translation right 3 units and down 1 unit is (4,-6)(4,−6).

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Answer:

2(x+4)

Step-by-step explanation:

common denominator is 2

Answer:

2(x+4)

Step-by-step explanation:

..............

Answer:

lol

Step-by-step explanation:

need points

Answer:

not even funny

Step-by-step explanation:

u should get banned this website is for education

Answer:

Step-by-step explanation

Since it says and that can mean add 17.

The product of a number is a number that was multiplied. So 30 is a product of 5 and 6.

So maybe the answer might be

x+17

Answer:

9/-2

Step-by-step explanation:

im in algebra and its easy

Answer:

b= -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-3b - 6 = 18

      +6    +6

     -3b =​ 24

  -3b/-3 = 24/-3

          b = -8