Question 6(Multiple Choice Worth 2 points)
(Two-Column Tables MC)

The table below shows the ratios of black to white keys on pianos of various sizes.


Black A 18 45 72
White 13 B 65 C


Determine which table has the correct values for A, B, and C.

Answers

Answer 1

The correct values for A, B and C are given as follows:

A = 9.B = 26.C = 104.

How to obtain the correct values for A, B and C?

The table shows the ratios of black to white keys on pianos of various sizes, and these ratios are constant, meaning that the following proportional relationship is established:

A/13 = 18/B = 45/65 = 72/C

Then the value of A can be obtained as follows:

A/13 = 45/65

Applying cross multiplication, we have that:

65A = 13 x 45

A = 13 x 45/65

A = 9.

The value of B can be obtained as follows:

18/B = 45/65

Applying cross multiplication, we have that:

45B = 18 x 65

B = 18 x 65/45

B = 26.

Finally, the value of C can be obtained as follows:

72/C = 45/65

Applying cross multiplication, we have that:

45C = 72 x 65

C = 72 x 65/45

C = 104.

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Related Questions

what will be the value of k so that the equation \(kx^{2} -4x+1\) has two equal roots (same roots)

Answers

The value of k that will make the quadratic equation kx² - 4x + 1 = 0 to have two equal roots is; k = 4

What are the roots of the Quadratic Equation?

The general form of representing a quadratic equation is;

ax² + bx + c = 0

Now, we are given the quadratic equation which is;

kx² - 4x + 1 = 0

Now, for a quadratic equation to have 2 equal roots, it means that;

b²  = 4ac

Thus, applying that to our given quadratic equation gives us;

(-4)² = 4(k * 1)

4k = 16

k = 4

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What's the answer. ​

What's the answer.

Answers

Answer:

(-2,3)

Step-by-step explanation:

I couldn't read which answer it is

A. Because you go down 2 and to the right 3. Meaning you have to subtract 2 from all of your original“x” coordinates and add 3 to all of your original “Y” coordinates (sorry if I had spelling errors)
:)

find the distance between j and k

Answers

Answer:

theres no picture...or points...

Step-by-step explanation:

What is the domain and range function?

What is the domain and range function?

Answers

Answer:

A.

Step-by-step explanation:

I NEED ANSWERS!!! ASAP

I NEED ANSWERS!!! ASAP

Answers

The answer for the first one is 4.47945205479, if you need to round that would be 4.5.

The answer for the second one is 20.4945454545, rounding will be 20.5.

The answer for the last one is 893.84, rounding will be 893.8.

If you need to round just remember 4 or less, will be rounded to 0, and 5 or more would be rounded to 10.

compare -10 and 0 using less than, greater than sign, or =

Answers

Answer:

-10<0

Step-by-step explanation:

What is the quotient of the following division problem? x + 2 x + 1 x2 + 3x + 2 0.

Answers

The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.

How to find the factors of a quadratic equation?

The quadratic equation can be expressed as

ax² + bx + c = 0

Where c is a constant.

To find the factors of a quadratic equation, follow these steps!

Find the two numbers that the product is equal to ac and the sum is equal to b.Use them as the common factors and simplify.

Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!

For quadratic equation x² + 2x + 1:

a = 1, b = 2, c = 1.ac = 1The two numbers are 1 and 1 → 1+1 = 2 and 1×1 = 1.

The common factors: (x + 1)(x + 1)

For quadratic equation x² + 3x + 2:

a = 1, b = 3, c = 2.ac = 2The two numbers are 2 and 1 → 2+1 = 3 and 2×1 = 2.

The common factors: (x + 2)(x + 1)

The quotient of the quadratic equations is

(x² + 2x + 1)/(x² + 3x + 2) = 0

(x + 1)(x + 1)/(x + 2)(x + 1) = 0

(x + 1)/(x + 2) = 0

Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.

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What is the best approximation of the solution to the system to the nearest integer values?
A. (1, 3)
B. (3, 4)
C. (2, 3)
D. (3, 2)

Answers

The best estimate of the system solution to the nearest integer values is (2,3).

What is coordinate points?

The coordinates represent the location of a point in the 2D coordinate plane with respect to the origin. A point's x-coordinate is its perpendicular distance from the y-axis as measured along the x-axis. A point's y-coordinate is the perpendicular distance from the x-axis measured along the y-axis. A point's Cartesian coordinates (also known as rectangular coordinates) are a pair of integers (in two dimensions) or a triplet of numbers (in three dimensions) indicating signed distances from the coordinate axis. A point's coordinates are a pair of integers that define its precise location on a two-dimensional plane. Remember that the coordinate plane contains two axes that are perpendicular to each other, known as the x and y axes.

Here,

This question is asking us what the coordinates are for the point of intersection. Since the point is not directly on the grid lines, we must approximate.

The point is closest to the value "2" on the x axis.

The point is closest to the value "3" on the y axis.

This means the correct point is (2,3).

The best approximation of the solution to the system to the nearest integer values is (2,3).

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What is the best approximation of the solution to the system to the nearest integer values?A. (1, 3)B.

can someone please help me with this.​

can someone please help me with this.

Answers

Answer: They are perpendicular.

Step-by-step explanation:

If you graoh x+8y=-1 it gives you a negative slope line, and if you graph -8x+y=-1 you get a positive line, eventho it almost looks like it is undefined.

I hop ethis helped.

Can’t figure out M<7/12

The options are
A.1
B.-1
C.-9
D.-5

Answers

M < 7 / 12

(1) < 7 / 12

(1) < 0.583333333 (false statement)

(-1) < 7 / 12

(-1) < 0.583333333 (true statement)

(-9) < 7 / 12

(-9) < 0.583333333 (true statement)

(-5) < 7 / 12

(-5) < 0.583333333 (true statement)

B C D maybe?

answer the question >:D

answer the question &gt;:D

Answers

Answer:

15 is the diameter and 7.5 is the radius

Step-by-step explanation:

The radius is the half of the diameter hehe boi

44 mm compared to 5 inches

44 mm compared to 5 inches

Answers

Answer:

44 mm<5 in

22 gal>55 L

Step-by-step explanation:

in to mm multiply by 25.4

5in=127mm

44 mm\(<\)5 in

gal to L multiply by  3.785

22gal=83.3

22 gal>55 L

The temperature and Vancouver Yesterday was 15° today it is -5° how much did the temperature decrease?

Answers

Answer:

20

Step-by-step explanation:

All I did was add 15 and 5 which equals 20 which is the correct answer

Please help with all 3 And explain it please so I understand ty

Please help with all 3 And explain it please so I understand ty

Answers

A simultaneous equation refers to two or more equations that are solved at the same time.

What is a simultaneous equation?

A simultaneous equation refers to two or more equations that are solved at the same time. Now we shall solve each of the equations;

a. 2x + y = 3 ------(1)

   x - y = 4 ------ (2)

x = 4 + y  ----- (3)

Substituting (3) into (1)

2(4 + y) + y = 3

8 + 2y + y = 3

8 + 3y = 3

3y = 3 - 8

3y = -5

y = -5/3

Hence;

 x - y = 4

x - (-5/3) = 4

x = 4 + 5/3

x = 17/3

b. 2x + 6y =9 -----(1)

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

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

Substitute (3) into (1)

2( 2 - 3y)  + 6y =9

4 - 6y + 6y = 9 (From this stage we can see that it is not possible to solve the quadratic)

c. 6x - 3y = 12 -----(1)

4x + 2y = 10 ---- (2)

12x - 6y = 24 ---- (3)

12x + 6y = 30 --- (4)

Add (3) to (4)

24x = 54

x= 54/24 = 9/4

Hence;

4(9/4) + 2y = 10

9 + 2y = 10

2y = 10 - 9

y = 1/2

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two are playing in a best-of-seven series, say whoever wins four matches first wins the series. in how many ways could the hawkeyes team win this series?

Answers

Answer:

3 series I believe

Step-by-step explanation:

7-4=3 this is what I got I believe it's right

The Mean Value Theorem: Problem 2 (1 point) Find the nun(s) of c in the conclusion of the Mean Value Theorum for the given function over the given interview v = sin(w). (1,5) NOTE: Type antwer in forme = value. Separate malo answers with a coma muchas c= 10 = -1 NOTE: If you believe that no such value of costs, type "none"

Answers

The Mean Value Theorem states that for a function f(x) that is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), there exists at least one number c in the interval (a,b) such that f'(c) = (f(b) - f(a))/(b - a).
For the given function v = sin(w) on the interval (1,5), we have f(a) = sin(1) and f(b) = sin(5).

Taking the derivative of v = sin(w), we get f'(w) = cos(w).
Using the Mean Value Theorem, we have:
f'(c) = (f(5) - f(1))/(5 - 1)
cos(c) = (sin(5) - sin(1))/4
Solving for c, we get:
c = arccos((sin(5) - sin(1))/4) or c = 2π - arccos((sin(5) - sin(1))/4)
Therefore, the values of c in the conclusion of the Mean Value Theorem for the given function v = sin(w) on the interval (1,5) are:
c = arccos((sin(5) - sin(1))/4), c = 2π - arccos((sin(5) - sin(1))/4)

Note: These values are approximate and may vary depending on the unit of measurement used.

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test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.

Answers

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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1. Write a ratio that describes the picture below. ​

1. Write a ratio that describes the picture below.

Answers

Stars to Circles Ratio: 4 to 3

Circles to Stars Ratio: 3 to 4

Answer:

4to 3

Step-by-step explanation:

because I'm smart an I've all ready learned about this I'm 100% for sure

Find 25% of 14.

A. 3.5
B. 11.5
C. 12
D. 7

Answers

Answer:

A

Step-by-step explanation:

a line containing the points (4,4) and (8,9)

Answers

Answer:

im assuming slope : 5/4 is slope

Step-by-step explanation:

the formula (y₂ - y₁) / (x₂ - x₁) is how you get slope. plug stuff in and you get (9 - 4) / (8 - 4) and thats 5/4

Answer:

y=1.25x-1

Step-by-step explanation:

Hope this helps! PS I'm not assuming anything

500 people visit our website everyday. these visits are independent of each other. when a potential customer visits our site they either buy a product or not. ten percent of these potential customers do buy a product. what percentile would represent 60 purchases in a single day represent (hint: think about computing the average number of purchases per day and the standard deviation of number purchases per day and the normal distribution)?

Answers

A 60 purchases in a single day would represent the 92.7th percentile.

To answer this question, we need to calculate the average number of purchases per day and the standard deviation of the number of purchases per day. Then, we can use the normal distribution to determine the percentile that represents 60 purchases in a single day.

1. Average number of purchases per day:
Since 10% of potential customers buy a product, out of 500 visitors, 10% will be 500 * 0.10 = 50 purchases.

2. Standard deviation of the number of purchases per day:
To calculate the standard deviation, we need to find the variance first. The variance is equal to the average number of purchases per day, which is 50. So, the standard deviation is the square root of the variance, which is sqrt(50) = 7.07.

3. Percentile of 60 purchases in a single day:
We can use the normal distribution to calculate the percentile. We'll use the Z-score formula, which is (X - mean) / standard deviation, where X is the number of purchases in a single day. In this case, X = 60.

Z-score = (60 - 50) / 7.07 = 1.41

Using a Z-score table or calculator, we can find that the percentile associated with a Z-score of 1.41 is approximately 92.7%. Therefore, 60 purchases in a single day would represent the 92.7th percentile.

In conclusion, 60 purchases in a single day would represent the 92.7th percentile.

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7.
If 3 tickets to a certain show cost $13.20, what would 7 tickets cost?

What is this answer?

Answers

Answer:

$ 30.8

Step-by-step explanation:

ratio and proportion:

3 tickets  = 7 tickets

$13.20            x

then cross multiply:  3 (x) = 13.20 (7)

simplify: 3x = 92.4

solve for x = 92.4 / 3

x = $ 30.8

therefore,

7 tickets costs $ 30.8

When summarizing the distribution of a data set with Strong outlier the what number summary is a better choice than the mean and standard deviation?

Answers

Since the mean and the standard deviations are "sensible" to outliers, that is, t

-5 1/2+ 6 3/4 (-4 1/4)

-5 1/2+ 6 3/4 (-4 1/4)

Answers

Answer: The answer is -34 3/16

Step-by-step explanation:

−51/2 + 63/4(−41/4)

=−51/2 + −2583/16

= −2991/16

= -34 3/16

Instructions: Find the surface area of the figure below. Round your answers to the nearest tenth, if necessary.

Instructions: Find the surface area of the figure below. Round your answers to the nearest tenth, if

Answers

The surface area of the cone is calculated to the nearest tenth as: 173.4 cm².

What is the Surface Area of a Cone?

Surface area of a cone = πr(r + l),

Given the following:

Radius (r) = 4 cmSlant height (l) = 9.8 cm

Plug in the values

Surface area of the cone = π × 4(4 + 9.8)

Surface area of the cone = 173.4 cm²

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Joshua has 245 feet of fence. His rectangular yard is 54 feet by 78 feet. Does Joshua have enough fence for his yard?

Answers

We can calculate the perimeter of the rectangular yard to find out how much fence Joshua needs:

\(P=2(78+54)=2(132)=264ft\)

since the perimeter of the yard is 264 yards, then Joshua does not have enough fence for his yard, since he only has 245 t of fence, and he needs 264ft

Pleaseeee answer correctly !!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!!!!!

Pleaseeee answer correctly !!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

NI and HN

Step-by-step explanation:

They are marked congruent by the small lines in the middle of each segment, indicating marks for congruency.

Please solve both with explanation, I’ll give brainliest

Please solve both with explanation, Ill give brainliest

Answers

1st and 2nd pictures are for finding area and 3rd picture is for finding perimeter

hope you understood well and if not and you can ask again

Please solve both with explanation, Ill give brainliest
Please solve both with explanation, Ill give brainliest
Please solve both with explanation, Ill give brainliest

Which triangle pairs are similar polygons?

Answers

Triangle pairs are similar polygons if they have the same shape but not necessarily the same size. In order for two triangles to be similar, they must satisfy the following conditions:

They must have the same angles. This means that the measures of the angles in one triangle must be the same as the measures of the corresponding angles in the other triangle.

The lengths of the sides must be in the same ratio. This means that if you divide the lengths of the corresponding sides of one triangle by the lengths of the corresponding sides of the other triangle, you must get the same ratio for all pairs of sides.

For example, if triangle ABC is similar to triangle DEF, the ratios of AB/DE, AC/DF, and BC/EF must all be the same.

To determine if two triangles are similar, you can use one of several theorems and postulates, such as the Side-Side-Side (SSS) Similarity Theorem, the Side-Angle-Side (SAS) Similarity Theorem, or the Angle-Angle (AA) Similarity Postulate. These theorems and postulates provide different sets of conditions that must be satisfied in order for two triangles to be similar.

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1. Write an inequality that models the situation: Water freezes at O degreesCelsius or less.

Answers

let x be the temperature. we get that:

\(x\le0\)

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