What is the following quotient?
S6+/11
√√5+√3
30+32+√55+√√33
8
30-3√2+√55-√33
2
17
8
52
2

In linear equation, 4 is the Simplify your answer .

What is a linear equation example?

2y-9 ............1

-3y-2=4 .............2

From equation  (2)

                  - 3y = 4 + 2

                  - 3y = 6

                     y = 6/-3  ⇒ -2

value of y put in equation 2

                         -3y-2=4

                       - 3 * -2 - 2 = 4 ⇒ 6 - 2 ⇒ 4

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The net decimal equivalent is 0.48, 0.27, and 0.12 when a series of discounts of 48%, 27%, and 12% are applied respectively.

The percentage is defined as a ratio expressed as a fraction of 100.

By multiplying the complement of the discounts collectively, one can determine the net decimal equivalent which is given in the question.

To determine the net decimal equivalent when a series of discounts of 48%, 27%, and 12% is applied.

The value of compliment (%) = 1/100

As per the given condition, the required discounts would be as:

discount of 48% = 48/100 = 0.48

discount of 27% = 27/100 = 0.27

discount of 12% = 12/100 = 0.12

Therefore, the net decimal equivalent is 0.48, 0.27, and 0.12 when a series of discounts of 48%, 27%, and 12% are applied respectively.

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Since Mikah invented and patented a new product which sells in local department stores, this is an example of: D. passive income.

An income simply refers to an amount of money that an individual or business organization (company or firm) earn in return for the sales of its product or for providing a service, to its customers and consumers.

In Economics, there are three (3) main types of income and these include the following:

In Business management, a passive income generally requires minimal amount of labor from an individual or business organization (company or firm) and as such it is typically earned from rental products or patented products, which is usually on a regular basis.

In this context, we can reasonably infer and logically deduce that Micah's income is an example of passive income.

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Using proportional relationships, it is found that:

Brown 12 10 14 30

Green 20 25 35 75

Total 32 35 49 105

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

For the first question, we have that out of a total distance of 8 miles, they:

Hence the proportional relationships for the distances are given as follows:

For a total distance of 32 miles, the distances walked and ran are given as follows:

For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.

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2(x) + 2(x+7)= 62

4x+14=62

4x=58

x=14.5

width= 14.5

length=21.5

Answer:

D

Step-by-step explanation:

RISE/RUN = slope

This slope will be POSITIVE because it rises in quadrant 1.

Rise=2, run=3

Slope= 2/3

Hope that helps

Consider the relation,

Let the distance between Trent and Austin is 'd' kilometers.

Then the time taken by Trent to reach Austin is given by,

Similarly, the time taken by Trent on his return trip is given by,

Given that the trip to Austin was 1 hour less than the return trip,

Solve for the total time of the trip as,

Thus, the total time required for complete trip is 5 hours.

The area of the irregular shape is found as 50 sq. cm.

For the given question;

The irregular shape is composed of two rectangles.

The formula for finding the area is;

Area =  length x breadth

The area of the top rectangle is;

Top area = 4 x (3 + 5 + 2)

Top area = 4 x 10

Top area = 40 sq. cm.

The area of the bottom rectangle is;

Bottom area = 5 x 2

Bottom area = 10 sq. cm.

Total area = Top area + Bottom area

Total area = 40 + 10

Total area = 50 sq. cm.

Thus, the area of the irregular shape is found as 50 sq. cm.

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Applying the similarity theorem, the value of x is calculated as: x = 3.5.

When two triangles are similar to each other, based on the similarity theorem, the ratio of their corresponding side lengths will be equal because they are proportional to each other.

In the image given, triangle ABC is similar to triangle ADE. Therefore:

AB/AD = BC/DE = AC/AE

Given the following:

AB = 4 units

AD = 4 + 3 = 7 units

BC = 2 units

DE = x

Plug in the values into AB/AD = BC/DE:

4/7 = 2/x

Cross multiply

4(x) = 2(7)

4x = 14

Divide both sides by 4

4x/4 = 14/4 [division property of equality]

x = 3.5

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

6 ===> 15%

Step 02:

Percentage:

percentage = part / whole * 100

percentage = 15

part = 6

whole = number = x

The answer is:

The number is 40

The probability that exactly 4 bulbs from the sample are defective is; 0.2812

The formula for binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

where;

p = probability of success

n = number of trials, or the sample size

x = the number of successes in the probability

Now, we are given that;

Sample size; n = 19

Number of successes in the probability; x = 4

probability of success; p = 20% = 0.2

Thus;

P(X = 4) = 19C4 * 0.2^(4) * (1 - 0.2)^(19 - 4)

P(X = 4) = 0.2182

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First number (x) = 88

Second number (9x) = 792

Third number (x + 100) = 188

Let x be the first number, so accordingly the second number will be 9 times x i.e., 9x and the third number will be 100 more than the first number i.e., x + 100

Now, put all the numbers into an equation of finding their sum,

First no. + Second no. + Third no. = SUM, i.e.,

x + 9x + (x+100) = 1068

Simplify,

x + 9x + (x+100) = 1068

x + 9x + x +100 = 1068

11x + 100 = 1068

11x = 1068 - 100

11x = 968

x = 968/11

First number (x) = 88

Second number (9x) = 792

Third number (x + 100) = 188

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iven:: △TVX is equilateral.

To prove: △TUV≅△XWV

The given proof is completed and attached below:

he proogf is complete.

The number that has a greater value in the thousands place is 16,918.

Given numbers are sixteen thousand, nine hundred eighteen,(16,918), and 64,704 on the board.

The thousand places in both numbers contain the digits 6 and 4.

The place value of 6 in 16,918 is expressed as 6 thousand or 6,000.

The place value of 4 in 64,704 is expressed as 4 thousand or 4,000.

As 6000 > 4000, the number that has a greater value in the thousands place is 16,918.

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The number of three digit number formed are-

For the given question;

The three digit number is to be formed.

The digits are given as-  1,2,6,7,8

Case 1: Repetition allowed

The number of combination will be;

= 5×5×5

= 125

Thus, the number of three digit number formed with repetition is 125.

Case 2: Repetition not allowed

The number of combination will be;

= 5×4×3

= 60

Thus, the number of three digit number formed with without repetition is 125.

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Using the Fundamental Counting Theorem, it is found that there are 27 possible outcomes.

It is a theorem that states that if there are n trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, each trial independent of other trials, the number of possible outcomes is given as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For this problem, the trials are represented as follows:

For each trial, there are 3 possible outcomes, from the table, hence the parameters are given as follows:

[tex]n_1 = 3, n_2 = 3, n_3 = 3[/tex]

Hence the total number of possible outcomes is given as follows, from the Theorem:

N = 3 x 3 x 3 = 27.

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The equation applies the associative property of multiplication is ​−512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92)​.

The associative property of multiplication can be described as the law that is been used in making calculation that involves using the multiplication operation.

When using the associative property of multiplication law, we will need to associate, which means we will join together the given terms which can be done in different ways irrespective of how it is been grouped together and this can be seen in the option B , because the result of the multiplication using the distributive property gives us (−512⋅65)⋅(13⋅92)​.

Therefore, option B is correct.

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If Connor edits 34 pages in 8 hours. Using the equivalent ratios, the table has been completed.

The equivalent ratios are the ratios that has same value when we compare them. We can check two or more ratios and check whether they are equivalent or not.

Connor edits 34 pages in 8 hours

Number of pages he edits in 8 hours = 34 pages

Number of pages he edits in 1 hour = 34/8 = 17/4 pages

Number of pages he edits in 12 hours = (17/4)×12

= 51 pages

Complete the table

Hence, if Connor edits 34 pages in 8 hours, using the equivalent ratios, the table has been completed

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Answer:

y = -3x + 11

Step-by-step explanation:

(4, -1) m = -3

y = -3x + b

y + 1 = -3(x-4)

-3(x-4) = -3x + 12 - 1

y = -3x + 11

The equation of the blue line is y = 2(2 - x).

Equation of A(1,0) and B(0, -2)

Use y = mx + c,

m = change of x axis ÷ change of y axis

The difference in x-coordinates equals the difference in y-coordinates, and the difference in y-coordinates equals the difference in y-coordinates.

m = (y2 - y1) ÷ (x2 - x1)

To get the slope, plug in the parameters of both x and y into to the equation.

m = (2 - 0) ÷ (0 - 1)

m = -2

The value of b calculated using the expression of a line formula.

b = 2

Now that you have the measurements of m (slope) and b (y-intercept), plug them into y = m x + b to determine the equation of the line.

y = −2x+2

Because the line is two primary components to the left, the parallel line's equation is,

y = -2x + 2 + 2

y = -2x + 4

y = 2(2 - x)

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the monthly deposit that will be required will be equal to $ 1214 by compound interest.

We are given the information that:

Amount (A) = $ 30,000

Time = 18 years

Compound interest rate = 4.1 %

Now, let the principal amount be x.

So, by using the formula for compound interest, we get that:

30,000 = x ( 1+ 0.041)¹⁸

30,000 = x (1.041)¹⁸

30,000 = x × 2.06

x = 30,000 / 2.06

x = 14563 ( approx.)

Monthly deposit = 14563 / 12 = 1214 (approx.)

Therefore, the monthly deposit that will be required will be equal to $ 1214 by compound interest.

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Using linear functions, it is found that:

A. The costs will be the same when 250 shirts are bought.

B. The Tees-4-U Company would charge them less.

C. They are saving $350 by going with the more economical company.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For the cost functions in the context of this problem, we have that:

Hence the functions for the cost of buying x shirts are given as follows:

The costs will be the same when:

C(x) = T(x)

Hence:

6.5x = 250 + 5.5x

x = 250

For item b, the costs are given as follows:

The amount saved in item c is:

3900 - 3550 = 350.

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Simone, these are the steps to calculate Q1, Q2, and Q3.

Step 1: You need to put all the values in order from the lowest to the greatest.

Step 2: The tenth value from left to right is the median or Q2.

Step 3: The

Step-by-step explanation:

plug in y=(⅓)x+1 to a graphing calculator and it gives you the answer

Answer:

TRUE

Step-by-step explanation:

an integer is a whole number from the set of negative, non-negative, positive and 0 numbers.

ex : -1, -2, -3, -4, -5, 0, 1, 2, 3, 4, 5

-17 is a negative whole number

so yes, -17 is an integer

The approximate size of Jorge's wrist is 8.5 inches.

For the given question;

For average adults, the size of the wrist is 1/4 of the size of the waist.

The waist size of the Jorge is 34 inches.

Thus, to calculate the wrist size of Jorge, simply multiply the fraction 1/4 with 34.

= 34 × 1/4

= 8.5

Therefore, the wrist size of the Jorge is found as 8.5 inches.

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If Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

The Morning activities of Samuel

He ran for 30 minutes, covering 4.5 miles,

He swim for 20 minutes covering 2/3 miles

He biked for 45 minutes covering 9 miles

Total distance travelled = 4.5+ 2/3 +9

= 14.17 miles

Total time taken = 30+20+45

= 95 minutes

The average speed = Total distance / Total time taken

= 14.17/95

= 0.15 miles per minutes

Hence, if Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

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The statement which is true about Function A and Function B is that: C. The initial value for Function A is greater than the initial value of Function B.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope A = (0 - 2)/8 - 0)

Slope A = -2/8

Slope A = -1/4 or -0.25.

Note: The slope of any straight line also represents its rate of change.

Rate of change of Function A = -0.25.

Rate of change of Function B = 4.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (0, 2), we have:

y - 2 = -1/4(x - 0)

y - 2 = -x/4

y = -x/4 + 2.

Therefore, the intercept (initial value) of Function A is greater than the intercept (initial value) of Function B.

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Answer: x values make sure they don't repeat if they do its not a function.