How to Solve this??! 6x-2=x+13

Answer:

4.5

Step-by-step explanation:

Probably too late for your RSM homework, but here is the solution:

6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]

Simplify to 54/(x(9-x))=8/3

Cross multiply: 162=(8x)(9-x)

Simplify -x^2+9x=20.25

Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0

Solve and get 4.5 :D!

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB

What is the reflexive property of congruence?

According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.

The third step's key concept in this instance is the "Reflexive Property of Congruence."

The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.

Since it was established in the second stage that ∠ABC≅∠BDC

Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.

Internal angle C is the common angle in the triangles ABC and BDC.

As a result, it is consistent with itself due to its reflexive characteristic.

We obtain the following notation for internal angle C from triangle ABC:

Angle ACB and BCA(both will work)

Triangle BDC gives us the following notation for internal angle C:

Angle DCB and BCD(Both will function.)

They fit together. The second choice takes angle C into account, so:

∠BCA≅∠DCB (second option) is the missing statement.

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The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

do 24^2 + b^2= 25^2 and take the square root of the answer

Step-by-step explanation:

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Notice that:

is well defined for x>0, therefore the domain of the given function is:

Now, the range of the function is:

To find the x-intercept we set y(x)=0, and solve for x:

Therefore the x-intercept is at (1,0).

Now, to find the y-intercept we should evaluate the y at x=0, but the logarithm is undefined at x=0, therefore there is no y-intercept.

Finally, the function has an asymptote at x=0.

Answer:

Domain:

Range:

x-intercept:

No y-intercept.

Asymptote:

Answer:

option B

125 cm³

Step-by-step explanation:

volume of sphere = 4/3πr³

where r = d/2

= 6.2/2 = 3.1

thus,

v = 4/3 * 3.14 * (3.1)³

= 4/3 * 3.14 * 29.79

= 124.72 cm³

rounding off to the nearest whole number,

= 125 cm³

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

Answer:

The answer is C

The correct answer is option (C).

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

2x-6 ≥ 6(x-2)+8

Simplify this inequality,

2x-6 ≥  6x-12 +8

2x-6 ≥ 6x-4

⇒4x≤-2

⇒x≤-0.5

Inequality shows that values less than or equal to -0.5 are the solutions.

Therefore, option C is correct.

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The table that represents exponential growth is the second table.. The second column is labeled y with entries 2, 4, 6, 8. A 2-column table has 4 rows.

Exponential growth simply means a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Exponential growth is the pattern of data which shows sharper increases over time. In finance, compounding creates exponential returns and the savings accounts with a compounding interest rate can show exponential growth.

In this case, the second table described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. Here, every time the X's increase by 1, the Ys increase by a multiple of 4.

One of the best examples of exponential growth is observed in bacteria. Here, it takes bacteria roughly an hour to reproduce through prokaryotic fission. This illustrates exponential growth.

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The solution for the inequality is 11.746 ≤ x ≤ 24.44

Kali earns a 15.75 plus a flat fee of 50 from her job.

She wants to earn between 200 and 400.

Let 'x' denote her earning potential.

Then the inequality for her earning potential is given by,

200 ≤ 15.75x + 50 ≤ 400

We solve this inequality for x.

Subtract 50 from the inequality,

⇒ 200 -15 ≤ 15.75x ≤ 400 -15

⇒ 185 ≤ 15.75x ≤ 385

Divide by 15.75,

⇒ 11.746 ≤ x ≤ 24.44

is the solution for the inequality.

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To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:

Total number of flowers: 1,064

Number of centerpieces: 28

Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces

Number of flowers in each centerpiece = 1,064 / 28 = 38

Therefore, there will be 38 flowers in each centerpiece.

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Answer: 38

Step-by-step explanation:

The question is asking you to divided.

1064 divided by 28 = 38

So there will be 38 flowers in each centerpiece

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

-8,-7

Step-by-step explanation:

I think

Answer:

try pressing the help button, it looks like it mightve glitched

Step-by-step explanation:

The value of k that makes the equation true is 1.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

The variable in the equation is k. A variable is a number represented with letter in an equation.

The value of k that makes the equation true is as follows:

5 - k + 12 = 16

combine like terms

5 + 12 - k = 16

17 - k = 16

subtract 17 from both sides of the equation  

17 - k = 16

17 - 17 - k = 16 - 17

-k = - 1

k = 1

The value of k is 1

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Answer:

Step-by-step explanation:

Because you already know what 1lb of flour is in the small bag you only have to find the price per pound in the 50lb bag so you would do $7/50 giving you $0.14 soo the Large bag would be cheaper

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The inequality of context is 1.29x + 10(1.29) ≤ 100 and she can buy 77 songs.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of new songs be 'x'.

Therefore, The inequality to determine the number of songs she can buy and not run out of gift card money is,

1.29x + 10(1.29) ≤ 100.

1.29x + 12.9 ≤ 100.

1.29x ≤ 87.1.

x ≤ 87.1/1.29.

x ≤ 67.52 But she can buy only 67 songs and 10 songs before so 77 songs.

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Answer:45%

Step-by-step explanation:

So we have to solve a right triangle i.e. find all of its sides and angles. Assuming that angles are labeled with letters in capitals and that the opposite side of an angle is labeled with the same letter but in lower case then the triangle looks like this:

First of all it's important to remember that the sum of the internal angles of a triangle is equal to 180°. Then we have:

Then we substract 136.5° from both sides:

So we found angle B now we just need to find sides b and c. The law of sines states that the quotient between the length of a side and its opposite angle is the same for the three pairs of angles-opposite sides. Then we get:

With the first two terms we get:

We can multiply both sides by the sine of 43.5°:

So b=1.8in. Then for c we can use the equality in the right side of the law of sines:

Then the answers are:

a=1.9 in

b=1.8 in

c=2.6 in

A=46.5°

B=43.5°

C=90°

Answer:

87150

Step-by-step explanation:

84,899 is the exact square miles, but 87,150 is closest