The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day. Which statement is supported by the information in the dot plots?

The answer is 3+s because 3s-2s=s and when you simplify your answer that's what you get

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

The CORRECT answer is:

$6.49 per pair

Step-by-step explanation:

38.94 divided by 6 = 6.49

6.49 <== Add the "$" symbol <=== $6.49

Answer:

6

Step-by-step explanation: you just divide -5 by -30 to get 6

Answer:

30/5 is 6

Step-by-step explanation:

you have to divide to get x alone

Answer: 1.75 dollars

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

x= 2

Step-by-step explanation:

y = 7 means it is parallel to the x axis . so the perpendicular line is to be parallel yo the y axis. .

so the equation is to be like x = c

but it is passing (2,13)

so the equation is

x= 2

The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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Answer:

bottom right makes the most sense to me

Step-by-step explanation:

The value of the expression using the distributive property is 5x + 50.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5 (x - 10)

The distributive property of multiplication over addition states that,

a x (b +  c) = a x b + a x c

Now,

5 (x - 10)

= 5x + 5 x 10

= 5x + 50

Thus,

The expresssion is 5x + 10

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To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

3²

4³

2³

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

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Answer:

Step-by-step explanation:

The square root of 125 is equal to 5√5 or 11.18 (approximately).

Below:- see both pictures

Answer:

The square root of 125 is between [D. 11 and 12] .

Step-by-step explanation:

One beautiful mathematical idea is the concept of the Golden Ratio. The Golden Ratio is a mathematical ratio that is approximately equal to 1.618. It can be found in various natural and artistic phenomena, such as the proportions of the human body and the dimensions of famous artworks like the Parthenon. The beauty of the Golden Ratio lies in its aesthetic appeal and harmonious proportions, which can be appreciated by individuals from different backgrounds.

The Golden Ratio is a mathematical concept that can be understood by considering the relationship between two quantities. It is the ratio of the larger quantity to the smaller quantity, and this ratio is approximately equal to 1.618. This ratio has been observed in various natural and artistic contexts, which adds to its beauty. For example, the proportions of the human body, such as the ratio of the height to the navel compared to the navel to the floor, are often close to the Golden Ratio. Similarly, famous artworks, such as the Parthenon in Athens, exhibit dimensions that are related to the Golden Ratio.
The beauty of the Golden Ratio is similar to other kinds of beauty that humans encounter in the sense that it evokes a sense of harmony, balance, and aesthetic appeal. It demonstrates the presence of underlying mathematical principles that govern patterns and proportions in the natural and artistic world. This beauty can be appreciated by individuals regardless of their mathematical background, as it appeals to our innate sense of visual harmony and proportion. The elegance of the Golden Ratio lies in its ability to bridge mathematics and aesthetics, showcasing the interconnectedness between these domains of human experience.

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Answer:

employee's hours worked per week

Step-by-step explanation:

check answer

Answer:

In this function, x represents the number of 2) HOURS WORKED PER WEEK.

Hey there!

A = ½ (a + b) h,

⇒ A = ½(8+16)14

⇒ A = ½(24)14

⇒ A = (12)(14)

⇒ A = 168

Therefore, Area of trapezoid is 168 sq. un

Check the picture below.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=14\\ a=16\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{14(16+8)}{2}\implies A=\cfrac{14(24)}{2} \\\\\\ A=7(24)\implies A=168 \end{array}\)

The length of the radius of the circle is 4.9cm.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Calculation for the length of the radius of the circle-

In order to overcome this issue, we must first translate the angle from radians to degrees.

The central angle of circle is 7/6π rads = 210 degrees.

Length of the arc is 18 cm.

The formula of length of an arc is given as-

\(l_{a r c}=\frac{\theta}{360} * 2 \pi r\)

Let's change the values and find the solution.

\(\begin{aligned}&18=\frac{210}{360} * 2 \pi r \\&18=3.663 r \\&r=\frac{18}{3.663} \\&r=4.9 \mathrm{~cm}\end{aligned}\)

Therefore, the length of the radius of the circle is 4.9 cm.

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By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

Answer:

x = 11, -1

Step-by-step explanation:

First, let's identify what the quadratic formula is:

x = [-b ± √(b² - 4(a)(c))] / 2

Our equation is written in standard form:

ax² + bx + c = 0

x² - 10x - 11 = 0

Let's plug in what we know.

x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2

Evaluate the exponent.

x = [-(-10) ± √(100 - 4(1)(-11))] / 2

Simplify the negatives.

x = [10 ± √(100 - 4(1)(-11))] / 2

Multiply.

x = [10 ± √(100 + 44)] / 2

Simplify the parentheses.

x = [10 ± √(144)] / 2

Simplify the radical (√)

x = [10 ± 12] / 2

Evaluate the ±.

x = [10 + 12] / 2

x = [22] / 2

x = 11

or

x = [10 - 12] / 2

x = [-2] / 2

x = -1

Your answers are x = 11, -1

Hope this helps!

The volume of gasoline in the tank as a function of time can be determined as,

The time taken to fill the tank can be determined as,

Thus, the requried domain is,

The range of the function can be determined as,

Thus, the above expressions gives the required domain and range of the function.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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Answer:

$11.50

Step-by-step explanation:

Hope this helps!!

The engineer's salary after 10 years will be $130,500.

To calculate the engineer's salary after 10 years, we start with the initial salary of $87,000 and add the guaranteed raise of $4,350 for each year. Since the raise is guaranteed with satisfactory performance, we can assume that it will be received every year.

Therefore, after 10 years, the engineer will have received a total of 10 raises, resulting in a salary increase of $43,500. Adding this increase to the starting salary of $87,000 gives a final salary of $130,500 after 10 years.

The engineer's salary increases by $4,350 each year due to the guaranteed raise. This consistent increment ensures a linear growth in the salary over time. By multiplying the annual raise by the number of years (10), we determine the total increase in salary. Adding this increase to the starting salary gives us the final salary after 10 years. In this case, the engineer's salary after 10 years will be $130,500.

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Answer:

Timed test.

Step-by-step explanation:

An operational definition gives exactly what the independent variable means and its mode of measurement. The Independent variable is the variable in a research or experimental study which causes a change in the the measured variable. Hence, the independent variable is the predictor variable. In the study above, the independent variable is the timed test which is used to observe changes in the heart rate of the test taker (test anxiety). The change innheartrate of the test taker is the dependent variable.

Answer: 1/3

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal.

For example, if slope of line A is a/b, then slope of line B which is perpendicular will be -b/a.

Substitute 1 and 3 for a and b. Apply the formula and get 1/3.

Hello there, I hope you are having a splendid day. :)

Perpendicular lines have slopes that are opposite reciprocals.

This means you take a number, flop it over, and make it negative.

The opposite reciprocal of -3 is

\(\frac{1}{3}\)

This is our answer. Hope it helps. Ask me if you have any queries. :)

~An emotional teen who helps others with joy

\(MagicalNature\)

Good luck. :)

Answer:

If you want a deteled answer tell me!

Step-by-step explanation:

Answer:

y = -2x + 2

Step-by-step explanation:

y = mx + b

b is the y-intercept and is 2.

m is the slope.

Start at (0, 2), the y-intercept. Go down 2 units and right 1 unit.

That is a rise of -2 and a run of 1.

m = slope = rise/run = -2/1 = -2

Answer: y = -2x + 2

Answer:

x=50

Step-by-step explanation:

67=x+17

67-17=50

x=50

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

The ladder will go 6 feet up.