3( x + 5 ) - 6x = -18

The correct option is C) 256/999. A rational number is any number that can be expressed as the ratio of two integers, with the denominator not equal to zero.

To determine which fraction represents a decimal where three digits repeat, we need to rewrite each fraction as a decimal and look for repeating digits. For example, 103/665 equals approximately 0.155639... which does not have three repeating digits, so we can cross out option A. Similarly, 11/99 equals approximately 0.111... which has only one repeating digit, so we can cross out option B. Next, we have 256/999, which equals approximately 0.256256256... and has three repeating digits (256), so this is our answer. Finally, 25/909 equals approximately 0.027502750... which does not have three repeating digits, so we can cross out option D.

The decimal 0.256256256... is a rational number because it can be expressed as a ratio of two integers (256/999). Any number that can be expressed as a ratio of two integers is a rational number. To see why, suppose we have two integers a and b, where b is not equal to zero. Then, the ratio a/b can be written as a fraction, and so it is a rational number. Conversely, any decimal that can be expressed as a ratio of two integers is a rational number. Therefore, since 0.256256256... can be expressed as 256/999, it is a rational number.

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The height of the rectangle is 36 inches

Let the height of the rectangle be x. Then, the width of the rectangle will be 23 more than the height, i.e. (x + 23).Using the Pythagorean Theorem, we know that for a rectangle with height x and width (x+23), the diagonal of the rectangle, d can be given as:

d² = x² + (x + 23)²d² = x² + x² + 46x + 529d² = 2x² + 46x + 529

Since we are given that the diagonal measurement is 65 inches, we can plug this into our equation to obtain:65² = 2x² + 46x + 5294225 = 2x² + 46x + 5292x² + 46x - 4296 = 0Dividing by 2: x² + 23x - 2148 = 0

Factoring the quadratic equation gives:(x-36)(x+59) = 0Taking x = 36 (since x cannot be negative), the height of the rectangle is 36 inches.

Therefore, the width of the rectangle is (36 + 23) = 59 inches. Thus, the height of the rectangle is 36 inches when the width is 59 inches.

The answer is 36.0, rounded to 1 decimal place.

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Answer:

15,300 ft or 2.9 miles

Step-by-step explanation:

Distance = Rate * Time (but rate and time must be in the same units)

convert hours to minutes

1 hr * 60 min/hr = 60 min

then

D = 255 ft/min * 60 min

D = 15,300 ft

if you want miles, convert ft to miles (5280 ft per mile)

15,300 ft * 1 mi/5280 ft

2.9 mi

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Answer:

4x2+7x−1

Step-by-step explanation:

Answer:748cm^2

Step-by-step explanation:

Answer:

The shortest path to take is \(20\sqrt{3}\ cm\) or \(34.64\ cm\)

Step-by-step explanation:

This question requires an attachment (See attachment 1 for question)

Given

Cube Dimension: 20cm * 20cm

Required

Shortest path from A to B

For proper explanation, I'll support my answer with an additional attachment (See attachment 2)

The shortest path from A to B is Line labeled 2

But first, the length of line labeled 1 has to be calculated;

This is done as follows;

Since, the cube is 20 cm by 20 cm

\(Line1^2 = 20^2 + 20^2\) (Pythagoras Theorem)

\(Line1^2 = 2(20^2)\)

Take square root of both sides

\(Line1 = \sqrt{2(20)^2}\)

Split square root

\(Line1 = \sqrt{2} * \sqrt{20^2}\)

\(Line1 = \sqrt{2} * 20\)

\(Line1 = 20\sqrt{20}\)

Next is to calculate the length of Line labeled 2

\(Line2^2 = Line1^2 + 20^2\) (Pythagoras Theorem)

Substitute \(Line1 = 20\sqrt{20}\)

\(Line2^2 = (20\sqrt{2})^2 + 20^2\)

Expand the expression

\(Line2^2 = (20\sqrt{2})*(20\sqrt{2}) + 20 * 20\)

\(Line2^2 = 400*2 + 400\)

Factorize

\(Line2^2 = 400(2+1)\)

\(Line2^2 = 400(3)\)

Take square root of both sides

\(Line2 = \sqrt{400(3)}\)

Split square root

\(Line2 = \sqrt{400} * \sqrt{3}\)

\(Line2 = 20 * \sqrt{3}\)

\(Line2 = 20 \sqrt{3}\)

The answer can be left in this form of solve further as follows;

\(Line2 = 20 * 1.73205080757\)

\(Line2 = 34.6410161514\)

\(Line2 = 34.64 cm\) (Approximated)

Hence, the shortest path to take is \(20\sqrt{3}\ cm\) or \(34.64\ cm\)

Answer:

44.72 cm

Step-by-step explanation:

1. This was marked correct by RSM

2. Unfold the cube, so that points A and B and on points diagonal from each other on a 40 cm x 20 cm rectangle. Now draw a line connecting points A to B. That is the hypotenuse of both triangles. Now according to the pythagorean theorem, the hypotenuse is √2000, which is equal to 5√20.

3. The answer is 44.72 cm

There is significant relation between price and overall score.

Given that,

Following are details on the cost ($) and final rating for the six stereo headphones that Consumer Reports examined. ($) brand price Score: Bose 180, 72 Scullcandy 150, 78 Koss, 96, 54 Phillips/O'Neill, 72, 42 Denon, 48, 24.

a) t =3.54

The P value is less than 0.2

There is significant relation between price and overall score.

P value is between 0.01 and 0.025.

Because p value is less than or equal to 0.05 , we reject H₀ : β₁ is equal to zero.

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Answer:6

Step-by-step explanation:

18/3=6

Answer:6

Step-by-step explanation:

I don’t really know how to explain this but the answer is 6

The number of intersections of the graphs of the given equations is 0.

To determine the number of intersections of the graphs of the equations:

1. One-halfx + 5y = 6

2. 3x - 30y = 36

We can convert the equations to slope-intercept form (y = mx + b) by isolating y:

1. \(\frac12\\\)x + 5y = 6

  5y = -\(\frac12\\\)x + 6

  y = (-1/10)x + 6/5

2. 3x - 30y = 36

  -30y = -3x + 36

  y = (1/10)x - 36/30

  y = (1/10)x - 6/5

Now, we can observe that both equations have the same slope, which is 1/10, but they have different y-intercepts (6/5 and -6/5).

Since the slopes are the same but the y-intercepts are different, the two lines are parallel.

Parallel lines do not intersect,

so the graphs of these equations have no intersection points.

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Answer:

A or none

Step-by-step explanation:

edge

If there is a correlation between the number of employees and customer satisfaction in two different Buffalo Wild Wings stores, we need to perform a Pearson's correlation coefficient analysis.

To run stats testing on sales data from two different Buffalo Wild Wings stores, we need to use a correlation analysis. Specifically, we need to use Pearson's correlation coefficient to determine if there is a relationship between the number of employees and customer satisfaction. The Pearson's correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation and +1 indicating a perfect positive correlation. If the coefficient is close to zero, it indicates that there is no correlation.
The data we need to collect includes the number of employees in each store and the sales data for a specific period. We also need to gather customer satisfaction data, which can be collected through surveys or other feedback mechanisms. Once we have the data, we can use a statistical software program like SPSS or Excel to perform the correlation analysis.
If the correlation coefficient is positive and statistically significant, it means that there is a relationship between the number of employees and customer satisfaction. This could mean that more employees lead to better customer service, which in turn leads to higher customer satisfaction and sales. However, if the correlation is negative or not statistically significant, it means that there is no relationship between the two variables.
In conclusion, to determine if there is a correlation between the number of employees and customer satisfaction in two different Buffalo Wild Wings stores, we need to perform a Pearson's correlation coefficient analysis. Gathering accurate data and using statistical software will allow us to determine if there is a significant relationship between the variables.

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Answer:

Step-by-step explanation:

Welllllll.....

If you take the square root of 9, it's 3

if you take the square root if 16, it's 4

I would guess it to be about 3.2

Answer:

Step-by-step explanation:

Lily ,  we know that \(3^{2}\) =9  and \(4^{2}\) = 16  so we know that  \(x^{2}\) = 10  , where 10 is an answer to x squared,  then X lies between 3 and 4   ,  see?  

Answer:

=$5,913

Step-by-step explanation:

219 times 27

= 5913

Answer: The mistake is improper use of distribution property.

Step-by-step explanation:

It is given that \(3\times (4+2)=12+2\).

We need to find the mistake.

The given expression is

\(3\times (4+2)\)

Using distribution property, we get

\(3\times (4)+3\times(2)\)

\(12+6\)

So, \(3\times (4+2)=12+6\).

In the given calculation the 3 is not distributed properly because 3 is not multiplied with 2.

Therefore, the mistake is improper use of distribution property.

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

if we assume that

tan = opp/adj

then we can find the hypotenus by using phytagoras law

h² = o² + a²

h² = (m-1)² + (2√m)²

h² = m² - 2m + 1 + 4m

h² = m² + 2m + 1

then we factorized become

h² = (m + 1)²

h = m+1

so for sin x = opp/hyp = (m-1)/(m+1)

hope this can help you.

Answer:

Question 1

The greatest number of treasure chest you can fill = 23

Step-by-step explanation:

Gold coins = 46

Diamonds = 115

Rubies = 184

To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184

46 = 1, 2, 23, 46.

125 = 1, 5, 23, 115

184 = 1,2,4,8,23,46,92,184

The highest common factors of 46, 115 and 184 is 23

The greatest number of treasure chest you can fill = 23

Number of gold coins in each chest = 46/23

= 2

Number of diamonds in each chest = 115 / 23

= 5

Number of rubies in each chest = 184 /23

= 8

Question 2

Nickels = 246

Dimes = 312

Quarters = 204

Find the highest common factor of 246, 312, 204

246 = 1, 2, 3, 6, 41, 82, 123, 246

312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.

204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The highest common factor of 246, 312, 204 is 6

How many are in your group?

6 members

There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.

Number of nickels each person receive = 246 / 6

= 41

Number of dimes each person receive = 312 / 6

= 52

Number of quarters each person receive = 204 / 6

= 34

Answer:

the distance between points M(2,6) and N(3,1)

MN = \(\sqrt{(3 -2)^{2} + (1 - 6)^{2} }\) =\(\sqrt{26}\)

Answer:

HOPE THAT HELP YOU

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Yes, it indeed is 1

The values of( x , y, z ) in the parallelogram are( -12,109, -108).

A parallelogram is a quadrilateral with two pairs of parallel sides.

The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.

Therefore;

77 = -6x+5

77-5 = -6x

72 = -6x

x = 72/-6

x = -12

The adjascent angles of a parallelogram are supplementary i.e they sum up to 180°

therefore;

77+ y-6 = 180

y = 180-77+6

y = 109°

Also,

109 = -z+1

-z = 109-1

-Z = 108

z = -108

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Answer:

2.9

Step-by-step explanation:

if you need me to explain just comment!

I hope i was able to help!!!!!

Answer: 3m

Step-by-step explanation:

c = 2\(\pi\)r

18.84 = 2 x 3.14r

18.84 = 6.28 r

r = 3

Answer:

8

Step-by-step explanation:

Answer:

the Square root is 7.7 which is rounded up to 8.

Step-by-step explanation:

Stratified Random Sampling method , was used to estimate the proportion of students at major universities who approve of the new health care law.

A simple random sample (SRS) of size n consists of n individuals from a population selected so that each set of individuals has an equal chance of being selected. Simple random samples of 200 out of 25,000 and 100 out of 5,000 graduate students are selected. The sampling method in the given question is stratified random sampling.

Stratified random sampling is a sampling method that involves dividing the population into smaller subgroups known as "strata". In stratified random sampling or stratification, strata are created based on common attributes or characteristics of members, such as income or educational attainment. Proportional Random Sampling is another name of name of Stratified Random Sampling.

When completing an analysis or research on a group of entities with similar characteristics, the researcher may find that the population size is too large to complete the research. To save time and money, the analyst may choose a more feasible approach by selecting a small group from the population. A small group is referred to as a " sample size ", which is a subset of the population used to represent the entire population. A sample can be selected from a population in a number of ways, one of which is the stratified random sampling method.

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Answer:7 - 9 = -2

Step-by-step explanation:

Answer:

because they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Step-by-step explanation:

Answer:

Complete the missing parts of the paragraph proof.

Proof:

We know that central angles

✔ AOC and BOD

are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because

✔ all radii of a circle are congruent

. Then by the

✔ SAS

congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because

✔ CPCTC.

Therefore , the solution of the given problem of factorization comes out to be x=0 and x=1/3.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

Here,

Given:

thus . We do factorization of given expression and

we come on a result

=>  3x - 9x²

=> 3x (1 -3x)

x=0 and x=1/3

Therefore , the solution of the given problem of factorization comes out to be x=0 and x=1/3.

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