The solution set of which of the following equations is the set of real numbers that are 3 units from -2?
A |x+2|=3
B|x-2|=3
C |x+3|=-2
D |x-3|=2
E |x+3|=2

When Thelma earns a 6% commission based on the negotiated sale price, the amount earned is $9180.

From the information, Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.

The sales price will be:

= $180000 - (15% × $180000)

= $180000 - $27000

= $153000

Sine she earns 6% commission, this will be:

= Percentage × Sale price

= 6% × $153000

= 0.06 × $153000

= $9180

The commission is $9180.

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1.2(3x+5)=3.6x+6

We move all terms to the left:

1.2(3x+5)-(3.6x+6)=0

We multiply parentheses

3.6x-(3.6x+6)+6=0

We get rid of parentheses

3.6x-3.6x-6+6=0

We add all the numbers together, and all the variables

=0

x=0/1

Hence, x = 0

Dependent events;

The probability of one event DOES effect the probability of a 2nd event.

Independent events;

The probability of one event DOES NOT effect the probability of a 2nd event

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Answer: It will take just 1 hour & 36 minutes with 4 large pumps & 4 small pumps

Step-by-step explanation:

In this problem the diagonal of the Tv is 19 and the hight is 11 so we can use the pythagorical theorem to find the width (w) so:

and we solve for w so

We are asked to find an equivalent amount to 100 USD in french francs. Acording to the table, on tuesday, a dollar costs 4.3450 french francs, then we can find how many francs we got by multiplying 100 USD and 4.345, then we get:

Francs = 100×4.3450 = 434.50

Then, the answer is 434.5 french francs

[tex]-14x^2 \div 3x\implies \cfrac{-14x^2}{3x}\implies -\cfrac{14}{3}\cdot \cfrac{x^2}{x}\implies -\cfrac{14}{3}x[/tex]

Answer: 50 degrees

Step-by-step explanation: 23+107+x=180

130+x=180

x=50

Answer: 50%

Step-by-step explanation:

The error percent of the fish tank is 50%

Error percent:

Error percent means the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. It is also known as the percent error is the relative error multiplied by 100.

The formula to calculate the error percent is

δ = |vA - vE|/vA x 100

δ  = percent error

vA = actual value observed

vE = expected value

Given,

Raul estimated that a fish tank contained 20 gallons of water. He later  found that the fish tank had a 40-gallon capacity.

Here we need to calculate the error percent.

According to the error percent formula,

In this question

The estimated value = 20 gallons

Actual value = 40 gallons.

Now, we have to apply the values on the formula, then we get,

P% = (40 - 20)/40 x 100

P% = 20/40  x 100

P% = 1/2 x 100

P% = 0.5 x 100

P% = 50.

Therefore, the error percent is 50%.

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The Probability that Robert randomly pulls out a black sock is 1/5  .

In the question ,

it is given that

Total number of socks in sock drawer = 30 socks

number of white socks in the drawer = 16 socks

number of black socks in the drawer = 6 socks

number of red socks in the drawer = 2 socks

number of yellow socks in the drawer = 6 socks

So , the probability that he randomly pulls out a black sock = (number of black socks in the drawer) / ( total number of socks in the drawer )

= 6 / 30

= 1/5

Therefore , The Probability that Robert randomly pulls out a black sock is 1/5  .

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The reason that can be used to show that the lines are parallel is: alternate exterior angles converse.

The alternate exterior angles converse can be defined as rule that states that if two exterior angles that lie on each of the lines that is crossed by a transversal are congruent, then the lines can be said to be parallel lines.

The diagram below shows two lines that are intersected by a transversal. It also shows two pairs of alternate exterior angles, a and d, and b and c.

If angles a and d are congruent or angles b and c are congruent, then both lines can be proven to be parallel to each other by the alternate exterior angles converse.

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The empty boxes of the numerators for the given rational expression is to be filled with 4x and 2 respectively.

Rational expression is a division of two polynomials. Which implies that the numerator and denominator of the fraction consists of polynomials.

To solve this, we will first factorise the expression of the denominator as follows;

x² - 9x + 8 = x² - 8x - x + 8

x² - 9x + 8 = x(x - 8) -1(x - 8)

x² - 9x + 8 = (x - 1)(x - 8)

Hence, we can rewrite the rational expression as:

(4x + 2)/[(x - 1)(x - 8)]

we can break the expression further by dividing each term of the numerator with the expression (x - 1)(x - 8) as follows;

(4x + 2)/[(x - 1)(x - 8] = [4x/(x - 1)(x - 8)] + [2/(x - 1)(x - 8)]

Therefore, 4x and 2 will be the appropriate values to be filled in the empty boxes equated to the rational expression.

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The fraction of the poster does Dwayne use for his friends from school is 5/12.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number that is above the line and the denominator is the number below the line. An example of a fraction is 5/12.

In this question, the numerator is the number of parts he gives his friends from school. The denominator is the total number of parts he divides the poster.

Fraction = parts he gave his friend from school / total number of parts

5 / 12.

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the answer is 5896. . . . . . ... . . . . . ......................

Hello!

When multiplying 67 x 88, the correct answer would be 5896.

Hope this helped!

The solution set for the given inequality (2q/5 + 4 < 2q/-9) is q∈(-∞, - 45/7).

So, 2q/5 + 4 < 2q/ - 9:

Now, solve for the solution set as follows:

Therefore, the solution set for the given inequality is q ∈ ( -∞, - 45/7).

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Answer:

-20

Step-by-step explanation:

1- each of the two numbers are inside parenthesis and are beside each other which means they should be multiplied like this: -5.6 * 3.4

2- because 5.6 is negative, the rule in multiplying different signs would result to a negative number

3- and when you accurately multiply them, the answer is 19.04, and the options here are estimated so you should estimate the 19.04 too

4- 1 after it is 9 and nine is a great number, 1 turns to 2 and 9 turns into 0, which equals to 20, and DO NOT forget to add the sign, which is negative as i said previously

The equation of a line in the slope intercept form is expressed as

y = mx + c

The given equation is

9x + 3y = 18

We would rearrange it so that it takes the form of the slope intercept equation shown above.

We would divide both sides of the equation by 3, we have

9x/3 + 3y/3 = 18/3

3x + y = 6

Subtracting 3x from both sides of the equation, we have

3x - 3x + y = 6 - 3x

y = 6 - 3x

The slope intercept form is

y = - 3x + 6

To plot the graph, we would substitute values of x into the equation to get corresponding y values. These x and y values would be plotted on the x and y coordinates of the graph. We have

For x = - 2, y = 6 - 3(- 2) = 6 + 6 = 12

For x = - 1, y = 6 - 3(-1) = 6 + 3 = 9

For x = 0, y = 6 - 3(0) = 6 - 0 = 6

For x = 1, y = 6 - 3(1) = 6 - 3 = 3

For x = 2, y = 6 - 3(2) = 6 -6 = 0

The graph is shown below

Step 1: redraw the figure given

Step 2: State the relationship between the lines

It can be observed that

(i) line XY is perpendicular to line PS

(ii) line XY is perpendicular to line QT

(iii) line PS is parallel to line QT

Hence, XY⊥PS, XY ⊥ QT, PS ║ QT, The Second option.

The probability that exactly 3 out of the first 11 customers buy a magazine is 2.23%

The proportion of customers that buy a magazine = 8.4%

If 3 out of the first 11 customers buy a magazine, then this proportion is given as; 3/11 or 27.27%

Therefore, the probability that 3 out of the first 11 customers will buy a magazine is calculated as follows;

probability = 8.4% × 27.27%

probability = (8.4/100) × (27.27/100)

probability = 0.084 × 0.2727

probability = 0.0223

Converting it into percentage as follows;

probability = 0.0223 × 100

probability = 2.23%

Therefore, the probability that 3 out of the first 11 customers buy a magazine is calculated to be 2.23%.

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Answer:

Find the total number of oranges.

Total oranges = 90 × 5

= 450

Since 1/5 were rotten oranges,

Fraction of oranges that were not rotten

= Fraction of total oranges - Fraction of rotten oranges

= 5/5 - 1/5

= 4/5

Number of oranges not rotten = 4/5 × 450

= 360

16) We know that the triangles are similar because the three angles are equal in both triangles:

The angles in K are opposite by the vertex, so they are equal.

We also know that angles L and N are equal too.

By the rule of the sum of the angles in a triangle, we know that the third angle has to be equal.

Also, the side opposite to the angle N and L in each triangle have the same measure, so we can conclude that the triangles are similar.

Answer:

21

Step-by-step explanation:

120*7/10= 84  french
15 are chinese
84+15=99
120-99=21

Answer:

21

Step-by-step explanation:

The equation of the the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5 is [tex]\frac{(x-1)^2}{49}+\frac{(y+3)^2}{25}[/tex]

Equation of the ellipses:

The Equation of the ellipse with center at (h, k)

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}[/tex]

where,

a = length of semi-major axis

b = length of semi-minor axis

Given,

Here we have the value of center as (1, -3) and the values of a = 7 and b = 5.

Here we need to find the equation of the ellipse.

According to the formula we we have the following values are given,

We know the value of center of ellipses is written as,

(h, k) = (1, -3)

And the values of

a = 7 and b = 5

Therefore, when we apply the values on the formula then we get,

[tex]\frac{(x-1)^2}{7^2}+\frac{(y-(-3))^2}{5^2}[/tex]

When we simplify the term then we get,

[tex]\frac{(x-1)^2}{49}+\frac{(y+3)^2}{25}[/tex]

Therefore, the equation of the ellipse is [tex]\frac{(x-1)^2}{49}+\frac{(y+3)^2}{25}[/tex].

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Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

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In order to find the values of the sides of the triangle you take into account the relation between sides and hypotenuse.

h: hypotenuse

c1: shorter leg

c2: longer leg

Longer leg c2 is 3 inches longer than c1:

c2 = c1 + 3

hypotenuse h is 6 inches longer than c1:

h = c1 + 6

The formula for the calculation of the hypotenuse is:

h² = c1² + c2²

you replace for h and c2 in terms of c1:

(c1 + 6)² = c1² + (c1 + 3)²

You solve the previous equation for c1:

c1² + 12c1 + 36 = c1² + c1² + 6c1 + 9

c1² - 6c1 - 27 = 0

the roots of the previous equation are:

(c1 - 9 )(c1 + 3) = 0

c1 = 9

c1 = -3

You take the positive number because there is no length of sides with negative values.

Then, c2 and h are:

c2 = c1 + 3 = 9 + 3 = 12

h = c1 + 6 = 9 + 6 = 15

Hence, shorter leg is 9 inches, longer leg 12 inches and hypotenuse 15 inches

The variable h, as the subject of the given formula is h = 3 / (G.V + 1)

From the question, we are to make h the subject in the given formula

The given equation is

(3 - h) / V = G . h

Multiply both sides of the equation by V

V × (3 - h) / V = G . h × V

3 - h = G . h . V

Add h to both sides

3 - h + h = GhV + h

3 = GhV + h

Factorize h

3 = h(G.V + 1)

Now,

Divide both sides of the equation by (G.V + 1)

That is,

3 / (G.V + 1) = h

∴ h = 3 / (G.V + 1)

Hence, the value of h is 3 / (G.V + 1)

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The value of XZ is 32.

What is the value of XZ?

Trigonometry simply means the branch of mathematics that is concerned with functions of angles as well as their applications to calculation. It also deals with the relationship between ratios and their angles.

From the figure, XY = 15 and YZ = 17

XZ is the sum of XY and YZ:

XZ = XY + YZ

XZ = 15 + 17 = 32

Therefore, XZ is 32.

This shows the concept of trigonometry.

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4x² - 18x - 5 cannot be factored by grouping.

Factoring a polynomial involves writing it as a product of two or more polynomials.

In other words, it is a process of finding the factor.

Therefore, let's factor the quadratic equation as follows:

4x² - 18x - 5

Factorization by grouping means that we need to group the terms with common factors before factoring.

The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.

Hence,

4x² - 18x - 5 cannot be factorise by grouping because it has no common factor.

in other word, we cannot, however, use the grouping method to factor 4x² - 18x - 5 because factoring out the GCF from both groupings does not yield a common factor.

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Given the set of numbers:

To be able to determine their correct ascending order, we must first make all the numbers into similar forms.

Let's convert a

Answer:

Its A

Step-by-step explanation:

that's literally what a segment is