How do I do a fraction number line

The value of DE is 6 units long.

Since triangles ABC and DEF are similar, we know that their corresponding sides are proportional. In other words, the ratio of any corresponding side lengths in the two triangles is the same.

We can use this fact to set up the following proportion:

DE/BA = EF/BC

Substituting the given values, we get:

DE/9 = 12/18

Simplifying the right side of the equation, we get:

DE/9 = 2/3

To solve for DE, we can cross-multiply:

DE = 9 x 2/3 = 6

Therefore, DE is 6 units long.

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Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

h: The domain

-5 ≤ x ≤ 5

The values that used to create the box and whisker plot

[using these values]

Minimum value: Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Here, we have,

Step 1: Order the data set from smallest to largest:

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):

Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:

Q1 = (19 + 28) / 2 = 23.5

Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:

Q2 = (34 + 38) / 2 = 36

Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:

Q3 = (45 + 47) / 2 = 46

Step 3: Calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 46 - 23.5 = 22.5

Step 4: Determine the whiskers:

Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR

Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR

Lower whisker limit: 23.5 - 1.5 * 22.5 = -10

Upper whisker limit: 46 + 1.5 * 22.5 = 79.5

Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.

Now, you can plot the box and whisker plot using these values:

Minimum value : Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

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create a box and whisker plot for the following set of data

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

The estimated probability that it takes 10 or fewer shots to get his first successful shot is:

P(10 or fewer shots) ≈ 0.825

What is probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

To estimate the probability that it takes 10 or fewer shots to get his first successful shot, we need to add up the number of dots for the first 10 bars on the dot plot.

From the given dot plot, we can see that the number of dots for each value up to 10 shots are:

0 + 9 + 6 + 5 + 4 + 4 + 2 + 2 + 0 + 1 = 33

Therefore, the estimated probability that it takes 10 or fewer shots to get his first successful shot is:

P(10 or fewer shots) ≈ 33/40

This can also be written as a decimal:

P(10 or fewer shots) ≈ 0.825

Hence, the estimated probability that it takes 10 or fewer shots to get his first successful shot is:

P(10 or fewer shots) ≈ 0.825

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9514 1404 393

Answer:

  3.2 +r

Step-by-step explanation:

When r is added to 3.2, the sum is ...

  3.2 +r . . . . . . million dogs entering shelters annually

_____

Additional comment

The question asked cannot be answered using the information given in the problem statement. Information is given as to numbers of animals entering shelters. The question asks for the number of animals in shelters. That answer depends on the number leaving, which is not given.

Answer:

0.648

Step-by-step explanation:

I added multiplyed

Step-by-step explanation:

f(x) = 3x² - 2x + 8 , x = 3

f(3) = 3.3² - 2.3 + 8

= 27 - 6 + 8

= 29

Answer:

4) 8

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

Formula: V=1/3Bh

V=1/3(4×4)6

V=1/3(16)6

V=1/3(96)

V=96÷3

V=32

(P.S.-The capital 'B' in the formula stands for the area of the square base)

Hope this helped :)

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

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The quadratic function f(x) =\(3(x+3)^2 - 7\) has a minimum at x = -1, and the minimum value is 5.

To determine whether the quadratic function f(x) =\(3(x+3)^2 - 7\)has a minimum or maximum, we can examine the coefficient of the x^2 term, which is positive (3 in this case).

When the coefficient of the x^2 term is positive, the parabola opens upward, indicating that the function has a minimum value. The vertex of the parabola represents the minimum point.

Now let's find the coordinates of the vertex, which will give us the minimum value of the function.

The general form of a quadratic function is f(x) =\(ax^2 + bx + c\), where the vertex can be found using the formula:

x = -b / (2a)

In our case, a = 3 and b = 3*2 = 6 (from (x+3)^2).

Substituting the values into the formula, we have:

x = -6 / (2 * 3)

x = -6 / 6

x = -1

To find the y-coordinate of the vertex, we substitute the x-value (-1) into the function:

\(f(-1) = 3((-1)+3)^2 - 7\)

\(f(-1) = 3(2)^2 - 7\)

f(-1) = 3(4) - 7

f(-1) = 12 - 7

f(-1) = 5

The graph of this function will have a downward-opening parabola, and the vertex will be the lowest point on the curve.

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Answer:

width : 21ft

length : 63ft

Step-by-step explanation:

(42ft + w) + (42ft + w) + w + w = 168ft

42ft + w + 42ft + w + w + w = 168ft

w + w + w + w = 168ft - 42ft - 42ft

4w = 84ft

w = 84ft ÷ 4

w = 21ft

so,

width : 21ft

length : 21ft + 42ft = 63ft

Answer:

the graph below

Answer:

a. $3150

b. $3307.50, $3472.875

c. B(n) = 3000(1.05)^t

Step-by-step explanation:

just a disclaimer i havent done interest in a while so this might not be right

also im assuming this is compound interest

a. P = original amount; r = interest percentage, x = amount of total money

x = P(1 + (r/100)) = 3000(1 + 0.05) = 3150

b. x = 3000(1.05)^2,3 = 3307.5, 3472.875

c. B(n) = P(1+(r/100)^t for t in years. plug in the values to get B(n) = 3000(1.05)^t

The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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Answer:

No, he should have gotten $11.70.

Step-by-step explanation:

50.00

-38.70

______

$11.30

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

Given,

In the question:

Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5).

To find the  distance from Maria's desk to Monique's desk.

Now, According to the question:

We know that :

The formula of Distance:

\(\sqrt{(x_{2} -x_{1} )^2+(y_{2}-y_{1} )^2}\)

Substitute (2, -1) and (-2, 5) into distance formula:

\(\sqrt{(-2-2)^2+(5+1)^2}\)

Calculate:

\(\sqrt{(-4)^2+(6)^2}\)

\(\sqrt{16+36}\\ \\\sqrt{52}\)

= \(2\sqrt{13}\)

Hence, The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

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Answer: square root of 52

Step-by-step explanation:

did the practice test

Susan has 875 grams of grapes left.

1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).

2. Susan ate 125 grams of the grapes on her way home.

3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.

  1000 grams - 125 grams = 875 grams

4. Thus, Susan has 875 grams of grapes left.

measurement units:

In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.

This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.

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Answer:

we get only one solution that is 23 + 17 = 40

Hope it helps

Discuss measures that can be taken to develop the spirit of hard work

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

The required volume of the given rectangular prism is given as 240 in ³.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in

The volume of the rectangular prism = length × width × height
                                                 = 12 × 2 × 10
                                                 = 240 in ³

Thus, the required volume of the given rectangular prism is given as 240 in ³.

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The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "

Answer:

Step-by-step explanation:

Find the image attached

Since ABCD is a square, <ACB = 45 degrees

Given <ACB = 11x-32

Equate both

11x-32 = 45

11x = 45+32

11x = 77

x = 77/11

x = 7

Hence the value of x is 7

The simplified expression for x+2x-8+3x+1-2x is 4x - 4.

Expression is a term used to describe a wide variety of communication methods such as verbal, nonverbal, written, and artistic. It is the way we communicate our thoughts, feelings, and ideas to others. It is an important part of our lives, from the simplest forms of communication like body language to more complex forms like written literature. Expression is a powerful tool for self-expression, communication, and connection.

The expression x+2x-8+3x+1-2x can be simplified by combining like terms.

First, the x-terms can be combined, resulting in 4x:
x + 2x + 3x - 2x = 4x

Next, the remaining constants can be combined, resulting in -4:
4x - 8 + 1 = -4

Finally, the resulting expression can be written as 4x - 4.

Therefore, the simplified expression for x+2x-8+3x+1-2x is 4x - 4.

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