Nevaeh is a cruise specialist and earned $486 commission after booking a cruise that cost $5,400. What is her rate (in %) of commission?

Answer:

Step-by-step explanation:

3.

Note that

\(L_1 : 4x-y=10 \\ L_2: -2x+4y=16\)

aren't parralel lines. So they are intersected in one point.

Answer: Number of solutions is ONE. The system is soluble

4.

Similarly to 3. Number of solutions is ONE. The system is soluble

Explanation:

The key word here is "desired". We wish to make the errors as small as possible. The smallest any individual error can get is 0. Adding the entire collection of zeros will sum in a total of zero.

An error of zero means we hit the mark exactly. The unfortunate reality is that error is going to happen, so we'll have some positive error values with any regression line (or curve). It's only when all points are on the same line is when we have zero error and perfect interpolation rather than regression.

Again, the question is asking about desired error and the ultimate goal is to make the error zero. The next best thing is to minimize it as small as possible.

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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Answer:

If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

the equivalent ratios will be 1 : 2 and 4 : 8.

We are given that:

Colton mowed 3 lawns in 6 hours.

We are also given the table:

Lawns   Hours

____         2

    3            6

    4         ____

We need to fill the table with the equivalent ratios.

We get the ratio between lawns: hours as = 3 : 6

= 1 : 2

So, for 2 hours, it will be 1 lawn

and for 4 lawns, it will be:

= 4 : 8

So, we get the table as:

Lawns   Hours

    1            2

   3            6

   4            8

Therefore, we get that, the equivalent ratios will be 1 : 2 and 4 : 8.

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The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

The calculated values of x and y in the figure are x = 2 and y = 4

from the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

equal side lengths

This means that

2y - 1 = 3y - 5

Evaluate

y = 4

Next, we have

x + 3 = 3/2x + 2

So, we have

1/2x = 1

This gives

x = 2

Hence, the values of x and y in the figure are x = 2 and y = 4

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Answer:

11 units

Step-by-step explanation:

\(\sqrt{(x_{2} - x_{1})^2 + (y_{2}- y_{1})^2 }\)

= \(\sqrt{[-3-(-3)]^2 + (-6 -5)^2}\)

= \(\sqrt{0^2 + (-11)^2}\)

= \(\sqrt{0 + 121}\)

= \(\sqrt{121}\)

= 11

The relationship between X and Y in the equations y = 2x and y = x + 2 is that they represent two different linear equations.

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x + 2

Using the above as a guide, we have the following:

Hence, the relationship is different linear equations

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The total number of whole number between -4 and 6 are 7 that are 0,1,2,3,4,5,6.

Whole numbers are the complete set of natural numbers plus '0'. Examples include: 0, 11, 25, 36, 999, 1200, and so on. Learn more about numbers by clicking here.

Integers supplement this set of numbers because they include negatives, but otherwise follow the same rules. As a result, all whole numbers are integers (because they are all positive integers), but not all integers are whole numbers (because some are negative).

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The input that would give an output value of -1/3 is 19

A linear equation is an equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The table of values that completes the question is added as an attachment

A system of linear equations is a collection of at least two linear equations.

In this case, the linear equation is given as

y = -1/3x + 7

From the complete question, the output value is given as:

y = 2/3

Substitute y = 2/3 in y = -1/3x + 7

2/3 = -1/3 * x + 7

Subtract 7 from both sides of the equation

-1/3 * x = 2/3 - 7

Take the LCM

-1/3 * x = (2 - 7 * 3)/3

Evaluate the product

-1/3 * x = (2 - 21)/3

Evaluate the difference

-1/3 * x = -19/3

Multiply both sides by -3

x = 19

Hence, the input that would give an output value of -1/3 is 19

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Answer:

answer is 19

Step-by-step explanation:

Answer:

C. 65/100 = x/90

Step-by-step explanation:

65% of 100 is 65/100 as 65% of 90 is x/90.

You can find the correct answer by cross multiplying to see if the part / whole = percent / 100.

The question is first given in percentages. However, the requirement is to find the actual weight of the substance.

Given the value of the weight of a single fraction in the combination, we can get the weights of the other samples.

We'll thus have:

Next, we solve for x

ANS = 41.42

Answer: The correct answer is 14/7

Step-by-step explanation: This is the correct answer because it's explaining how to do it

Put it into your calculator

Product means multiply \(\times\)

4th power means \(10^4\)

\(630\ \times\ 7.2\times10^4 = 45360000 = 4.536\times10^7\)

Answer:

1/56

Step-by-step explanation:

Answer:

1/56

Step-by-step explanation

First, find the common denominator

8 x 7 = 56

7 x 8 = 56

Your new equation is now:

7/56 - 6/56 = 1/56

Answer:

225 quarters are easy to loose and who will accept that many quarters

Step-by-step explanation:

Answer:

quarters

You will get more money

Step-by-step explanation:

El pan de oro se puede comprar en hojas cuadradas de 8 cm.

Hay 25 hojas en un folleto.

Calcule el área total que se puede cubrir con un cuadernillo de pan de oro

we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.

We are given four letters:

A, B, C and D

We need to choose 3 letters from it without replacement.

(a) If the order of choices matter, then there would only be 1 way to choose the letters.

(b) If the order of choices do not matter , then by permutation, we get that:

The number of ways of choosing = 4 × 3 × 2

Ways = 24 ways.

Therefore, we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.

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Average ROC is equal to 0, the average rate at which one item is changing in relation to another is known as the average rate of change.

The average rate at which one item is changing in relation to another is known as the average rate of change. An average rate of change function, put simply, is a calculation that divides the amount of change in one thing by the corresponding amount of change in another.

An average rate of change function, put simply, is a calculation that divides the amount of change in one thing by the corresponding amount of change in another.

Average ROC is equal to 0.    

Slope is (y'-y) / (x'-x) and the average ROC is (f(b) - f(a)) / (b - a).

B = 6 f(b) = 10... x'=6, y'=10 where a = -3, f(a) = 10, x=-3, y=10 and b = 6, f(b) = 10...

Average ROC = (10–10) / (6–3) = 0–9 = 0.        

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The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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We have the expression:

We have to factorize both numerator and denominator:

As we have a common factor, we can simplify the expression as:

The restricted values for x are the ones that make the expression become undefined. This happens when, for example, the denominator becomes 0.

In this case, when x=-5, the denominator x+5=-5+5=0 and the expression is undefined.

This is the only restricted value for this expression.

Answer:

The reduced expression is (x-2)/(x+5).

The restricted value is x=-5.