Paul and Kelly are throwing darts at the hexagonal dartboard shown below. Paul told Kelly that if they throw darts at the board 100 times, of them should hit a 5.
If the prediction holds true, approximately how many times would their darts hit a 5?

Answer:

Perpendicular line: y = ⅕x + 0 or y = ⅕x

Step-by-step explanation:

Given the point, (10, 2), and the linear equation, y = -5x + 7:

In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.

Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.

                    m₁ × m₂  = -1

                     -5 ×  ⅕  = -1

Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :

y = mx + b

2 = ⅕(10) + b

2 = 2 + b

Subtract 2 from both sides:

2 -2 = 2 -2 + b

0 = b

Hence, the y-intercept is b = 0.

The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or   y = ⅕x

Answer:

y = x - 78

Step-by-step explanation:

y = x +-2 -76

y = x -78

Use this:

The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.

Answer:

1 2/3 is the scale factor

Step-by-step explanation:

So the scale factor either makes soemthing bigger or smaller

In this case it’s getting bigger

So we have one side already so we jsut find the value that was multiplied

so 9 * ? Is 15

You

d get 1 2/3

Answer:

Step-by-step explanation:

If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces.  In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m.  There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.

The new tape would measure 112m after the two fragments are joined.

Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given:

A piece of tape 56 m long and we are to add another 56 m

Thus the sum of these two tapes is equal to 56+56=112 m

Hence, the new tape is 112m long.

Learn more about addition here:

https://brainly.com/question/29560851

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He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

Answer:

D

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 12 when x = 15

12 = 15k ( divide both sides by 15 )

0.8 = k

y = 0.8x ← equation of proportion

When y = 40 , then

40 = 0.8x ( divide both sides by 0.8 )

50 = x → D

Area of measured tile: 12 x 10 = 120 square inches

Area of actual tile = 10 x 10 = 100 square inches:

Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%

Answer: 20%

Answer:

The answer is 11,316,108

Step-by-step explanation:

[tex]58^{4} - 388[/tex]

(58)(58)(58)(58) - 388

11,316,496 - 388

= 11,316,108

Answer:

{ f(x)| -∞ < f(x) ≤ 4 }

Step-by-step explanation:

The range of a function is the interval of every y-value represented on the function.  Since the highest this function goes on the y-axis is to y=4, we know that the upper limit of the range is 4, which is inclusive because the function actually reaches this value.  The function also appears to go down indefinitely on the right side, so the lower limit is -∞, which is non-inclusive because we will never reach that value.

The range is -∞ < f(x) ≤ 4

Answer:

$1236

Step-by-step explanation:

3%=1.03 as a decimal multiplier

1200 x 1.03 = $1236

Answer:

The symbol for a square root is [tex]\sqrt{}[/tex].

:)

Answer:

√

Step-by-step explanation:

Math=Explanitory

Answer:

A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30

Step-by-step explanation:

this is a quadratic function

quadratic term is -3x^2 , linear = -29x and constant = + 30.

Answer:

Quadratic term = (-3x²)

Linear term = (-29x)

Constant term = 30

Step-by-step explanation:

We have to classify the function as linear or quadratic.

Linear function ⇒ Is a function in which highest degree of variable is one.

Quadratic function ⇒ Is a function in which highest degree term or variable is 2.

Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.

So the given function is quadratic.

In this function Quadratic term = (-3x²)

                        Linear term = (-29x)

                        Constant term = 30

Answer: 5=rl

Step-by-step explanation:

Answer:

U can download apps to help u hope you find your answer

Answer:

the answer is x=8 that is the answer

Answer:

-4a + q

Step-by-step explanation:

Group the a-values together and the q-values together and simplify:

-7a + 6a + 4a - 7a - 12q + 13 q

= -4a + q

I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...

Answer:

x = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]

Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions

4 - 24x + 21 = - 54x + 5 , that is

25 - 24x = - 54x + 5 ( add 54x to both sides )

25 + 30x = 5 ( subtract 25 from both sides )

30x = - 20 ( divide both sides by 30 )

x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

y=1/2x=6 - linear, written as y=mx+b.

y=(x-5)^2 - nonlinear, x has an exponent greater than 1

y=2^x+8 - nonlinear, x is an exponent

y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)

y=4x^3-1 - nonlinear, x has an exponent greater than 1

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

-3/12

Step-by-step explanation:

To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex]  to find the slope.

plug in the coordinates: 7,5

-5,8

[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]

Have a wonderful week!

Answer:

[tex]y=\frac{4}{3}x-.333[/tex]

Step-by-step explanation:

Answer:

y=0.5x+9

Step-by-step explanation:

Answer:

-1.2y + -4.2y = -3.78

[tex] \: \: \: \: \: [/tex]

[tex] \: \: \: \: \: [/tex]

Answer:

19

Step-by-step explanation:

3 boards that are 12 feet long = 38÷2=19

Time can't be negative so we need to get absolute value of x .

Answer:

y - 7 = 6(x - 2)

Step-by-step explanation:

1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]

2. (Plugging in values)

Therefore, one equation of the line is y - 7 = 6(x - 2).

Answer:

4

Step-by-step explanation:

2²