Zachary recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
7
14
15
9
Eighth Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
2
15
2
11
Based on these results, express the probability that an eighth grader chosen at
random will play the drums as a percent to the nearest whole number.

Slope of the line having passing points (6,-5) and (-6,-5) is 0.

What do you mean by slope of the line?

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Hence, the change in y-coordinate with regard to the change in x-coordinate is given by,

m =  change in y/change in x

Given passing points :

(6,-5) and (-6,-5)

Slope of the line having passing points (x,y) and (a,b) is given by [tex]\frac{b-y}{a-x}[/tex]

Slope of the line become , [tex]\frac{-5+5}{-6-6}[/tex] = [tex]\frac{0}{-12}=0[/tex]

Therefore, slope of the line having passing points (6,-5) and (-6,-5) is 0.

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Answer:

Step-by-step explanation:

Divide 9 on both sides and you'd get y=3

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:5 days.w<0.5*34x

Step-by-step explanation:

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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The slope of the line in the function is 1

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

m = y₂ - y₁ / x₂ - x₁

Taking two points;

Substituting the values into the formula;

m = -2 - 0 / 3 - 5

m = -2 / - 2

m = 1

The slope is calculated as 1

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Answer: 2 cm

Step-by-step explanation:

2 x 3 = 6

The value of 3M + 7N will be;

⇒ 3M + 7N   = [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are;

⇒ M = [tex]\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right][/tex]

⇒ N = [tex]\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right][/tex]

Now,

The value of 3M + 7N will be;

⇒ 3M + 7N = [tex]\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + \left[\begin{array}{ccc}-35&-7\\14&63\\\end{array}\right][/tex]

                 = [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]

Thus, The value of 3M + 7N after simplification is;

⇒ 3M + 7N   = [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]

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Answer:

It is not possible to determine the dimensions of a rectangle with only the information that its area is 2/9. The area of a rectangle is calculated by multiplying its length by its width, so a rectangle with an area of 2/9 could have many different combinations of length and width. For example, a rectangle with dimensions of 1/3 by 2/3 would have an area of 2/9, as would a rectangle with dimensions of 2/9 by 1.

The value of the expression ((-1/3)^3)^-3 is option (D)  -19683

The given expression is

((-1/3)^3)^-3

The exponent is defined as the number of times the number is multiplied by its self. If the exponent is a^m, then the number a is multiplied m times

According to the power of the power rule is

(a^m)^n = a^(m×n)

We have to apply the power of the power rule in this question

((-1/3)^3)^-3 = (-1 / 3)^(3 × -3)

Multiply the numbers

=(-1 / 3)^-9

We know

(1/a)^-b = a^b

Then the terms will become

= -3^9

Find the power of the number

= -19683

Therefore, the result is -19683

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Answer:

4/6 and 1/6

Step-by-step explanation:

6 is the least common denominator found by multiplying 3 by 2

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x+2}=-2 \\ \\ x+2=-8 \\ \\ x=-10[/tex]

Answer:

Step-by-step explanation:

120/200=.6(100)

=60

Answer:

y=8/11x-2

Step-by-step explanation:

in y=mx+b, the m= the slope, and the b=the y-intercept

Answer:

Step-by-step explanation:

You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.

David's solution is correct up to Step 4.

At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...

  Step 4: (5 -3)x -4 = 2x -4

David's incorrect solution should have been 2x -4.

Answer: 18/24 and 10/24

Step-by-step explanation:

Answer:

Step-by-step explanation:..:&:&:&:

The answer to this Question related to Water Level is 10.4 inch

What is water level?

It is mark for safe amount of water in seas oceans etc and which is safe for Humans and Nature but sometimes due to heavy rains water level increase that is not good most of the times

Solution:

Here we can see water level rise per day = 2.6 inch

and rain continued for 4 days

hence after 4 days total water level reached = 2.6(4) = 10.4 inches

If rain would continued more than water level would've increased more

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We can consider that table (A) shows a proportional relationship of 7/1.

Relationships between two variables that are proportional occur when their ratios are equal.

Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value.

The "constant of proportionality" is the name of this constant.

So, consider the tables as follows:

Table A:

7/1

14/2 = 7/1

28/4 = 7/1

35/5 = 7/1

Proportional relationship: 7/1

Now, we don't need to calculate further.

Therefore, we can consider that table (A) shows a proportional relationship of 7/1.

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By using the concept of fraction, it can be calculated that

I will get 64 meals

What is a fraction?

Suppose there is a collection and a part of a collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

This is a word problem on fraction

Weight of 1 meal = [tex]\frac{3}{8}[/tex] pounds

Total weight of meal = 24 pounds

Number of meals I will get = [tex]24 \div \frac{3}{8}[/tex]

                                            = [tex]24 \times \frac{8}{3}[/tex]

                                            = 64

I will get 64 meals

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The new y-intercept of the function is (0. -5)

From the question, we have the following parameters that can be used in our computation:

f(x) = 2/3|x + 4}

y-intercept = (0. 4)

The function is translated by

9 units down

This is represented as

(x, y) = (x, y - 9)

Substitute the known values in the above equation, so, we have the following representation

New y-intercept = (0. 4 - 9)

Evaluate

New y-intercept = (0. -5)

Hence, the new y-intercept = (0. -5)

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The angle measurement of T is 80°.

Here given,

∠Q = (9x - 17)°

∠R = (4x + 28)°

Since ∠Q and ∠R are co-interior angles in parallel lines.

∠Q + ∠R = 180°

So,

(9x - 17) + (4x + 28) = 180°

= 9x - 17 + 4x + 28 = 180°

By adding x variables together,

13x + 11 = 180°

=>  13x = 180°-11

=> x = 169° ÷ 13

x = 13

By substituting x,

∠Q = 9 x 13 - 17

      = 117 - 17

      = 100°

∠Q + ∠T = 180° (angles on a straight line is 180°)

100 + ∠T = 180°

∠T  = 180 - 100

∠T  = 80°

Therefore the value of  ∠T is 80°.

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3x + 2y = 18

2x + 5y = 14 are both linear equations

The system of linear equations in two variables is an equation with two different variables. Any equation with different variables can be in this system.

The solution for this type of equation by solving and getting two different values for both x and y but the same values are used in both equations.

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Answer: 12 Chaperones, 80 Students

Step-by-step explanation:

92 total - 12 chaperones = 80 students

3 Chaperones per 20 students, sizing that up by 4 you get 12 and 80.

Answer:

Concrete Operational Stage or Perceptive thinking

The expression that represents Eddie's pay for the week including overtimes are  34.5x + 638.25.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Assuming the no. of extra work hours to be 'x'.

He has a regular work hour of 37 which pays him $(17.25×37) = $638.25.

And his overtime rate is twice his regular rate which is $(2×17.25)

= $34.5.

Therefore, His total pay for the week including his overtime is,

= 34.5x + 638.25 and we can replace x with the given values in the chart

to find his pay for the week.

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Answer: sin

Step-by-step explanation:

1. The translation was of 4 units right and 3 units down.

2. All the blue lines connecting the equivalent vertices will have a slope of -3/4.

The translations of the triangle is given by the rule presented as follows:

(x,y) -> (x + 4, y - 3).

Hence the meaning of each of these translations is given as follows:

The coordinates of the original vertices are given as follows:

(0,0), (0,4), (3,0).

Then the coordinates of the translated vertices are given as follows:

(4,-3), (4,1), (7,-3).

For a linear function, the slope is given by the vertical change divided by the horizontal change.

From these translations, the changes are given as follows:

Thus the slope of the linear function connecting the original vertices are given as follows:

m = -3/4.

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