can someone please solve 2/8 = n/20

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

I am joyous to assist you anytime.

Linear data is data lying across a straight line. The runner which kept the most consistent pace was runner B.

Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.

For the given case, the second runner(runner B)'s data is almost forming a linear trend, whereas, for the first runner, its more spread, and the third graph, its a quadratic trend.

For non-linear trends like in third graph(runner C), we use polynomial regression to fit polynomial curves of higher degrees.

Thus, as the runner B's data set is lying more near to a line than other runners, thus,

The runner which kept the most consistent pace was runner B.

Learn more about linear regression here:

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Answer:

9

Step-by-step explanation:

Whatever you do to the denominator, you've got to do to the numerator, and vice versa. So for 8 to become 24, you multiply by 3. do that to the numerator 3 as well. 3 × 3 is 9.

For the sake of showing work I will replace the empty space with an x like so...

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

To find out what x is you must cross multiply (aka butterfly)

***Image of this step is attached below

3*24 = 8*x

72 = 8x

Next divide 8 to both sides to finish isolating x. Since 8 is being multiplied by x, division (the opposite of multiplication) will cancel 8 out (in this case it will make 8 one) from the right side and bring it over to the left side.

72 ÷ 8 = 8x ÷ 8

9 = 1x

9 = x

To make these fractions equivalent the empty spot must be 9

[tex]\frac{3}{8} = \frac{9}{24}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

1155

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

:))

Answer:

False

Step-by-step explanation:

a^2+b^2=c^2 so the biggest number would be c and that would be 11 9^2=81 4^2=16 adding these together gets 97. 97=/=11^2 which is 121

Answer:

A. True.

Step-by-step explanation:

We have been given lengths of three segments. We are asked to determine whether the given segments could form a triangle or not.

Triangle inequality theorem states that sum of two sides of triangle must be greater than third side of the triangle.

Using triangle inequality theorem, we will get:

[tex]9+4>11[/tex]

[tex]13>11[/tex] True

[tex]9+11>4[/tex]

[tex]20>4[/tex] True

[tex]4+11>9[/tex]

[tex]15>9[/tex] True

Since our given segments satisfies triangle inequality theorem, therefore, the given segments could form a triangle.

Answer:

(2x-9)(2x+9)

Step-by-step explanation:

This is a difference of squares because it can be written as (2x)^2-9^2

The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)

So replace a with 2x and b with 9 giving us

4x^2-81=(2x-9)(2x+9)

Answer:

(x - 15)(x + 3)

Step-by-step explanation:

Consider the factors of the constant term (- 45) which sum to give the coefficient of the x- term (- 12)

The factors are - 15 and + 3, since

- 15 × 3 = - 45 and - 15 + 3 = - 12, hence

x² - 12x - 45 = (x - 15)(x + 3)

Answer:

its (5x+8)(25x^2-40x+64

Step-by-step explanation:cuz

Answer:

[tex]5x\leq30[/tex]

Step-by-step explanation:

Let

x -----> the number of ice cream

we know that

[tex]5x\leq30[/tex]

Solve for x

Divide by 5 both sides

[tex]x\leq30/5[/tex]

[tex]x\leq 6\ ice\ cream[/tex]

therefore

The maximum number of ice cream is 6

Answer:

x = 11/6

Step-by-step explanation:

You need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

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Answer:  [tex]\bold{x=-\dfrac{4}{3}\qquad x=5}[/tex]

Step-by-step explanation:

[tex]\dfrac{2}{x-2}+\dfrac{7}{x^2-4}=\dfrac{5}{x}\\\\\\\text{Multiply each term by the LCD x(x-2)(x+2) to clear the denominator:}\\\dfrac{2}{x-2}[x(x-2)(x+2)]+\dfrac{7}{x^2-4}[x(x-2)(x+2)]=\dfrac{5}{x}[x(x-2)(x+2)]\\\\\\\text{Simplify - cross out like terms:}\\2[x(x+2)]+7[x]=5[(x-2)(x-2)]\\\\\\\text{Distribute:}\\2x^2+4x+7x=5x^2-20\\\\\\\text{Set equation equal to zero and Add like terms:}\\0=5x^2-2x^2-7x-4x-20\\0=3x^2-11x-20\\\\\text{Factor, set each factor equal to zero, and solve for x:}[/tex]

[tex]0=(3x+4)(x-5)\\0=3x+4\qquad 0=x-5\\\large\boxed{x=-\dfrac{4}{3}\qquad x=5}[/tex]

Answer:

Multiply 9 by 6

Step-by-step explanation:

7:9 is the ratio

We multiply the first term by 6.

What we do to one side, we do to the other

7*6=42

9*6 = 54

That way we keep the ratio in the same proportion

42:54

Answer: Multiply 9 by 6.

Step-by-step explanation:

A fifth-degree polynomial has three real roots and two imaginary roots.

The given polynomial function f(x) is a fifth-degree polynomial, meaning it has five roots. We are given three of the roots: -2, 2, and 4 + i. Since the coefficients of a polynomial with real coefficients are either real or come in conjugate pairs for complex roots, the remaining two roots must be the complex conjugates of 4 + i, which are 4 - i. Therefore, f(x) has three real roots -2, 2, and 4, and two complex roots 4 + i and 4 - i.

Answer: D. f(x) has three real roots and two imaginary roots.

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The function f(x), a fifth degree polynomial, has three real roots and two complex (imaginary) roots due to the Conjugate Root Theorem. The roots are –2, 2, 4, 4 + i and 4 - i. Therefore, option D is correct.

The function f(x) is a fifth degree polynomial. Given the roots available, –2, 2, and 4 + i, we already have three roots, two real and one complex (or imaginary). From the Conjugate Root Theorem, which states that if a polynomial has real coefficients, then any imaginary root must have its conjugate as a root. Thus, the conjugate of 4 + i, which is 4 - i, is also a root of this function. Therefore, the fifth degree polynomial has three real roots –2, 2, and 4, and two imaginary roots 4 + i and 4 - i, indicating that option D: 'f(x) has three real roots and two imaginary roots' is correct.

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Answer:

3 1/3

Step-by-step explanation:

8 1/6 - 4 5/6    Borrow 1 or 6/6 from the 8 so you have something to subtract.

7 7/6 - 4 5/6    Subtract the whole numbers.

7 - 4 = 3           Subtract the fractions.

7/6 - 5/6          Do the subtraction

2/6                   Reduce

2/6 = 1/3          Put the two parts together.

3 1/3

the result of subtracting the two mixed numbers is  [tex]3\frac{1}{3}[/tex]

To subtract the mixed numbers [tex]8\frac{1}{6}[/tex] and [tex]4\frac{5}{6}[/tex] we need to first understand how to subtract it. To subtract mixed numbers we need to first convert them to improper fraction. For the new fraction, the denominator remains same but new numerator is calculated by finding the product of whole number and denominator and then adding it to the numerator. This can be done as follows:

[tex]8\frac{1}{6} = \frac{ 8 \times 6 +1}{6} = \frac{49}{6}[/tex]

[tex]4\frac{5}{6} = \frac{ 4 \times 6 +5}{6} = \frac{29}{6}[/tex]

Now we subtract them as follows:

[tex]\frac{49}{6} - \frac{29}{6} = \frac{20}{6} = \frac{10}{3}[/tex]

To convert this back into mixed fraction we divide 10 by 3 and the quotient becomes the whole number while the remainder becomes numerator and 3 remains as denominator

[tex]\frac{10}{3} = 3\frac{1}{3}[/tex]

Therefore, the result of subtracting the two mixed numbers is  [tex]3\frac{1}{3}[/tex]

Answer:

acute

Step-by-step explanation:

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Answer:

acute and obtuse

Step-by-step explanation:

In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees. Please mark me as branliest. Thank you :3

Answer:

$[tex]1g[/tex]

Explanation:

If the number of granola bars is represented by the variable [tex]g[/tex], and each granola bar costs $1, then we need to multiply the amount per granola bar by the number of granola bars.

This is $[tex]1 * g[/tex], or $[tex]1g[/tex].

In this scenario, the total cost of the granola bars can be represented by the mathematical expression 'g', as each granola bar costs $1.

If each granola bar costs $1 and 'g' is representing the number of granola bars, then the total cost of the granola bars can be represented by the expression 1 * g or simply g. This is because for every granola bar you buy, you are adding $1 to your total. So if you bought 'g' granola bars, your total cost would be $1 times the number of granola bars 'g'. This is an example of direct proportionality, where the total cost increases with the increase in number of granola bars.

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a box plot is drawn with end points at 10 and 35. The box extends from 13 to 30 and a vertical line is drawn inside the box at 21.

Answer:

f(6)  =  68

Step-by-step explanation:

f(6)

f(n+1)=f(n)-8

n = 5, so

f(6)=f(5)-8

and with n = 4

f(5)=f(4)-8 , so

f(4) = f(3) - 8

f(3) = f(2) - 8 = 100 - 8 = 92

f(3)  = 92

Then, we can go and find the result

f(4) =[92] - 8  = 84

f(5)=[84] - 8 = 76

f(6)  = [76] -8 = 68

[tex]f(n+1)=f(n)-8\\f(2)=100\\\\f(3)=100-8=92\\f(4)=92-8=84\\f(5)=84-8=76\\f(6)=76-8=68[/tex]

Answer:

$720

Step-by-step explanation:

1 hour of tutoring  =  $45

16 hours of tutoring = $45 x 16 hours = $720

Answer:

$720

Step-by-step explanation: just multiply 45 and 16 together, boom theres your answer

x+19= 26

x+19-19= 26-19

x= 7

Check answer by using substitution method

x+19= 26

7+19= 26

26= 26

Answer is x= 7 (D.)

To find the solution we need to solve for x

We need to get x alone to solve for x.

To remove any number, always do the opposite operation

Opposite of +19 is -19

To remove +19 , subtract 19 from both sides

x+19=26

x+19 -19 =26-19 =7

x=7

So the value of x=7

The solution to this equation Option D.  x=7

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign. For example x=y is an equation where two expressions x and y are equal. Whereas f(x)=x is a function with variable x and hence f(x)=x is not an equation.

Learn more about the equation, refer

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The equivalent expression to 4 √6 divided by 3 √2 is 4/3 × √3. This is achieved by expressing the square roots as fractional exponents and simplifying.

The student is asking which expression is equivalent to the following mathematical expression: √(4 √6) / (3 √2).

To simplify this expression, we'll use the properties of exponents and radicals.

The square root of a number x can be written as x raised to the power of 0.5, so:

√6 = 60.5

√2 = 20.5

The given expression thus becomes:

(4 × 60.5) / (3 × 20.5) = 4/3 × 60.5/20.5

Since the exponents are the same, we can simplify the radicals by dividing the numbers inside the radicals:

4/3 × (6/2)0.5 = 4/3 × (3)0.5

And as (3)0.5 is the square root of 3:

4/3 × √3

Therefore, the equivalent expression is 4/3 × √3.

Divide 45 by 3 ( the quantity of consecutive numbers) This will give you the middle number, then use the number higher and lower.

45/3 = 15

14 + 15 + 16 = 45

The 3 numbers are 14, 15 and 16

Answer:

Distribute the -9 into the values in the parentheses.

STEP BY STEP

-9(-2x-3)

-9*-2x=18x

-9*-3=27

Therefore, the equation then becomes: 18x+27.

The answer is the first choice, or A.

Answer:

The equation has infinity solutions

Step-by-step explanation:

3( x - 4 ) + 5 - x = 2 x - 7

⇒ Expand brackets

3 x - 12 + 5 - x = 2 x - 7

⇒ Simplify

2 x - 7 = 2 x - 7

For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.

IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:

[tex]8 (4 + x) = 72[/tex]

We apply distributive property:

[tex]32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5[/tex]

So, on Saturday she spent 5 hours.

Answer:

[tex]8 (4 + x) = 72\\x = 5[/tex]

Answer:

Option A.

Option  C.

Step-by-step explanation:

Let be "x" the amount of hours  Leticia babysat on Saturday.

We know that she charges $8 per hour to babysit, she babysat Friday night for 4 hours and the total amount of money she earned on those two days was $72. Knowing this, we can set up the followin equation models this situation:

[tex]8(4+x)=72[/tex]

Finally, we must  solve for "x":

[tex]8(4+x)=72\\\\32+8x=72\\\\8x=72-32\\\\8x=40\\\\x=\frac{40}{8}\\\\x=5[/tex]

Answer: 24

Step-by-step explanation:

Break down the numbers until they have no way to be broken down anymore

8 = 4*2 = 2*2*2

24 = 6*4 = 3*2*2*2

The one that has more products is 24, so, it is 24.

Answer:

18

Step-by-step explanation:

First you need to plug in the numbers for each variable.

3(3)+(5+2(8))-12

Now you solve

3(3)+(21)-12

9+21-12

18

Step-by-step explanation:

The wheel has a diameter of 250 feet, so its circumference is:

C = 2πr = πD

C = 250π feet

It makes one revolution in 30 seconds, or half a minute, so the linear speed of the passenger is:

v = d / t

v = 250π / 0.5

v = 500π ft/min

v ≈ 1571 ft/min

This is about the same as 17.9 mph.

Final answer:

The linear speed of a passenger on the original Ferris wheel with a diameter of 250 feet, making one revolution every 30 seconds, was approximately 1570.8 feet per minute.

Explanation:

The question asks to calculate the linear speed of a passenger on the edge of the first Ferris wheel, which was 250 feet in diameter, and made one revolution every 30 seconds. To find the linear speed, we first need to determine the circumference of the Ferris wheel, which can be done by using the formula for the circumference of a circle, C = πd, where d is the diameter.

For the first Ferris wheel:

Diameter (d) = 250 feet

Circumference (C) = π * 250 feet = 785.398163 feet (approximately)

Time for one revolution = 30 seconds

Since the question requires the speed in feet per minute, we need to convert the time for one revolution to minutes:

30 seconds = 0.5 minutes

The linear speed (v) can be found using the formula v = C / time. Substituting our values in:

v = 785.398163 feet / 0.5 minutes = 1570.79633 feet per minute

Therefore, the linear speed of a passenger at the edge of the Ferris wheel was approximately 1570.8 feet per minute.

Answer:

Im boutta fail my final

Step-by-step explanation:

1 like= 1 prayer