Amanda ate 1/3 of her mom's pie. she gave the remaining 2/3 to 4 friends, What fraction did each friend get.

The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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Answer:

24/30 = 0.8

0.8x100 = 80

Answer = 80%

Hello, there.

To find the slope of a line, first you need to make sure which points this line passes through:

The slope \(m\) of a line, passing through the points \((x_0,~y_0)\) and \((x_1,~y_1)\) is given by the formula \(m=\dfrac{y_1-y_0}{x_1-x_0}\).

As we can see in the graph, this lines passes through the points \((0,~1)\) and \((1,~3)\), such that we can substitute these values on the formula to find its slope:

\(m=\dfrac{3-1}{1-0}\)

Subtract the values in both numerator and denominator

\(m=\dfrac{2}{1}=2~~\checkmark\)

This is the slope of this line.

Answer:

m=2

Step-by-step explanation:

use

\(y^2/x^2 - y^1/x^1\)

Answer:

132 cm

I hope this helped!

Answer:

ask the person who poured it how many gallons did they pour

Step-by-step explanation:

ask melanie martineź parents

Answer:

Question 1, it was 4500 gallons of water in the tank

Question 2, it will take 70 minutes to fill the pool with water

Step-by-step explanation:

Question 1 explanation, just multiply 150 times the minutes

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

r=-7/17

Step-by-step explanation:

6r-7=23r=

We move all terms to the left:

6r-7-(23r)=0

We add all the numbers together, and all the variables

-17r-7=0

We move all terms containing r to the left, all other terms to the right

-17r=7

r=7/-17

r=-7/17

Answer:

5

Step-by-step explanation:

6r - 7 = 23

6r + 7 = + 7

6r = 30

30 ÷ 6 = 5

r = 5

Check ur answer:

6(5) - 7 = 23

30 - 7 = 23

23 = 23

each numbered angle is

1. right angle

2. obtuse angle

Road signs, often known as traffic signs, are posted along the side of roadways or above them to inform and direct drivers. Simple wooden or stone milestones were the oldest types of signs. Later, directional signs with arms were developed, such as the fingerposts used in the United Kingdom and their wooden equivalents in Saxony. Since the 1930s, as traffic volumes have increased, many nations have adopted pictorial signs or have similarly standardized and simplified their signs in an effort to overcome linguistic barriers and improve traffic safety. Such pictorial signals are typically based on international norms and use symbols (often silhouettes) in place of words. These signs were initially created in Europe and have since been adopted in varied degrees by the majority of nations.

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The complete question is attached below

Step-by-step explanation:

The attached figure shows the whole scenerio.

BC = 5280 feet

We need to find height of the mountain. i.e. AB and the hiking distance i.e. AC.

Using trigonometry as follows :

\(\tan\theta=\dfrac{AB}{BC}\\\\AB=\tan(25.27)\times 5280\\\\AB=2492.46\ \text{feet}\)

The height of the mountain is 2492.46 feet

Also,

\(\sin\theta=\dfrac{AB}{AC}\\\\AC=\dfrac{AB}{\sin\theta}\\\\AC=\dfrac{2492.46}{\sin(25.27)}\\\\AC=5838.72\ \text{feet}\)

Hence, Height of the mountain =  2492.46 feet

hiking distance=  5838.72 feet.

Answer:

(-2,-3)

Step-by-step explanation:

Well in the system,

x−5y=13

4x−3y=1

We need to find x or y in either equation.

Let's do x - 5y = 13 for x.

+5y to both sides

x = 5y + 13

Now we substitute 5y + 13 for y in 4x - 3y = 1.

4(5y + 13) - 3y = 1

20y + 52 - 3y = 1

17y + 52 = 1

-52 to both sides

17y = -51

Divide all by 17

y = -3

Now we can substitute -3 for y in 4x - 3y = 1.

4x - 3(-3) = 1

4x + 9 = 1

-9 to both sides

4x = -8

Divide 4 to both sides

x = -2

Thus,

the solution is (-2,-3).

Hope this helps :)

Answer:

Step-by-step explanation:

x - 5y = 13

4x - 3y = 1

Solve the equation for x

\(x - 5y = 13\)

Move '5y' to R.H.S and change it's sign

\(x = 13 + 5y\)

Substitute the given value of X into the equation

4x - 3y = 1

\(4(13 + 5y) - 3y = 1\)

Solve the equation for y

distribute 4 through the parentheses

\(52 + 20y - 3y = 1\)

Collect like terms

\(52 + 17y = 1\)

Move constant to R.H.S and change it's sign

\(17y = 1 - 52\)

Calculate

\(17y = - 51\)

Divide both sides of the equation by 17

\( \frac{17y}{17} = \frac{ - 51}{17} \)

Calculate

\(y = - 3\)

Now, substitute the given value of y into the equation

x = 13 + 5y

\(x = 13 + 5 \times ( - 3)\)

Solve the equation for x

Multiply the numbers

\( = 13 - 15\)

Calculate the difference

\( = - 2\)

The possible solution of the system is the ordered pair

( x , y )

( x , y ) = ( - 2 , - 3 )

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

\( - 2 - 5 \times ( - 3) = 15\)

\(4 \times ( - 2) - 3 \times ( - 3) = 1\)

Simplify the equalities

\(13 = 13\)

\(1 = 1\)

Since all of the equalities are true, the ordered pair is the solution of the system

Hope this helps..

Best regards!!

Answer:

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ Mark reads 42 pages of a book every \(\frac{3}{4}\) of an hour

→ Find his rate per hour by dividing the number of pages by its time

∴ His rate of reading = 42 ÷  \(\frac{3}{4}\) = 42 ×  \(\frac{4}{3}\) = 56 pages per hour

∵ His rate = 56 pages/hour

∴ m = 56

∵ Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

∵ N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

∵ There is no initial amount of reading

∴ b = 0

∴ N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z

Answer to Question 1:

A way you can prove that the slope (m) = -2 is to write the equation:

3x + 2y + 7 = 5x + 3y + 10 in Slope-intercept form (y=mx+b). So all you need to do is solve for y. You will see that it will be y = -2x - 3. Step-by-step on how to solve it is in the image below. The coefficient of x is the slope (m), which is -2. So, it is proved that the slope is -2.

Question 2: Sorry, I don’t know how to solve for Question 2. But hopfully my answer to Question 1 helps you out :)

The mistake that Rafael made is interchanging the y-values with the x-values.

The real slope of the line is 25.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (100 - 50)/(4 - 2)

Slope, m = 50/2

Slope, m = 25.

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Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A modified box plot does not include the outliers in the whiskers, instead they are points outside of the whiskers

5,25,33,34,34,37,37,40,42,45,45,46,46,49,73

This data has 2 outliers 5 and 73 so we have 2 choices for a modified box plot D or D

The lowest value outside of the outliers is 25 , so C would be the logical choice

D has the lower end of the whisker too close to the outlier

Answer:

Step-by-step explanation:

For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).

For (b), you will use those 2 points to find the slope of the line using the slope formula:

\(m=\frac{7-14}{7-1}=\frac{-7}{6}=-1.167\)

For (c), you will use point-slope form to write the equation. Point-slope form is

\(y-y_1=m(x-x_1)\) where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.

We have m = -1.167, y = 7 and x = 7:

y - 7 = -1.167(x - 7)

That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:

y - 7 = -1.167x + 8.169 and

y = -1.167 + 8.169 + 7 so

y = -1.167 + 15.169

That's your equation in slope-intercept form, so you're done!

a. The number of shares outstanding after the stock split by Willey’s Grill & Restaurant Corporation is 670,000 (335,000 x 2).

b. If the common stock had a market price of $510 per share before the stock split, the approximate market price per share after the split is $255 ($510/2).

A stock split is a way that a corporation increases the number of its shares by increasing or decreasing the number of shares outstanding.

When a stock split increases the number of outstanding shares, the market price reduces proportionately.

a. What will be the number of shares outstanding after the split? Round your answer to the nearest whole number.

b. If the common stock had a market price of $510 per share before the stock split, what would be an approximate market price per share after the split? Round your answer to the nearest dollar.

Thus, the stock split increased the outstanding shares to 670,000 while reducing the market price to $255.

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Answer:

its b

Step-by-step explanation:

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

Answer: 8a^5 (3a^2 - 1)

Step-by-step explanation:

I factored 8a^5 out of the 24a^7 - 8a^5

the current yearly rate of increase is 2.5%

The population 10 years from now is 1920 (to the nearest whole number)

The population two years ago = 1500 (initial value)

The present population (2 years after) = 1576

We can find the rate of increase using the information above:

Two points (0, 1500) and (2, 1576)

Hence, the current yearly rate of increase is 2.5%

The population 10 years from now is 1920 (to the nearest whole number)

The corresponding sides of the similar triangles are given as follows:

Similar triangles are triangles that share these two features presented as follows:

The corresponding sides are those that have the proportional side lengths, hence they are those who have the same angle measure in each triangle.

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Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

The probability of rolling a number greater than 3 is 1/2 or 0.5.

When rolling a standard cube, there are six possible outcomes, corresponding to the six faces of the cube. Each face has a number from 1 to 6.

To find the probability of rolling a number greater than 3, we need to determine the number of favorable outcomes (rolling a number greater than 3) and divide it by the total number of possible outcomes (rolling any number from 1 to 6).

The favorable outcomes for rolling a number greater than 3 are: 4, 5, and 6. So, there are three favorable outcomes.

The total number of possible outcomes is six since there are six faces of the cube.

Therefore, the probability of rolling a number greater than 3 is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 3 / 6

Probability = 1/2

Hence, the probability of rolling a number greater than 3 is 1/2 or 0.5.

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The correct statement regarding the minimum value of the quadratic functions is given as follows:

D) The graphed function has a lower minimum value.

From the graph, the minimum value of the quadratic function is given as follows:

y = -8.

The algebraic function is defined as follows:

f(x) = 0.25x² - 2x.

Hence the coefficients are given as follows:

a = 0.25 and b = -2.

The x-coordinate of the vertex is given as follows:

x = -b/2a

x = 2/0.5

x = 4.

Then the y-coordinate of the vertex, representing the minimum value, is given as follows:

f(4) = 0.25(4)² - 2(4)

f(4) = -4 -> meaning that the graphed function has a lower minimum value.

The graph is given by the image presented at the end of the answer.

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9514 1404 393

Answer:

  x = 1/6

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

The fraction inside parentheses evaluates to ...

  3^(3/4 -3/8) = 3^(3/8)

Then the whole expression evaluates to ...

  (3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)

The value of x is 1/6.

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