Daniela works at Curl up and Dye (hair salon) she receives an hourly rate of $9.50 plus
30% commission on services rendered (haircuts, color, etc...) Last week she worked 30
hours and brought in $550 in services rendered. How much did Daniela earn last
week?
O $165
O $285
5 pts
O $450
O $559.50

To solve the equation, you just need to find the value of "x".
To do this isolate the variable or use a systematic trial of guessing. Here we would substitute each number in to the equation to find which one is correct.

if x=2

(2)+1

=3 ≠ 7

if x=3

(3)+1

=4 ≠ 7

if x=6

(6)+1

=7=7

According to the discrete distribution given, the standard deviation is of: 0.98.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability, hence:

\(E(X) = 0.1296(0) + 0.3456(1) + 0.3456(2) + 0.1536(3) + 0.0256(4) = 1.6\)

The standard deviation is the square root of the sum of the multiplication of each probability and the difference squared between the observation and the mean, hence:

\(\sqrt{V(X)} = \sqrt{0.1296(0-1.6)^2 + \cdots + 0.1536(3-1.6)^2 + 0.0256(4-1.6)^2} = 0.98\)

The standard deviation is of 0.98.

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Answer:

Add 3 to both sides.

Step-by-step explanation:

Add 3 to both sides.

This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.

In other words, evaluate 3/4 x - 3 for x = 5

The left side turns into 3/4 × 5 - 3.

What order of operations would you use now on the left side.

1) Multiply 3/4 by 5

2) Subtract -3

To solve an equation, you do the opposite operations in the opposite order.

Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.

Answer: add 3 to both sides

Answer:

Step-by-step explanation:

Comment

This is a proportion question. That means that the ratios given are equal. There are 4 facts all together. 3 are given, you have to solve for the 4th. The procedure is the same every time.

Equation (proportion)

cost of apples 1.09/ Number of apples (3) = cost of nearly a dozen (x)/Number = 11.

1.09/3 = x / 11                 Cross Multiply

3x = 1.09 * 11                  Combine the right

3x = 11.99                       Divide by 3

3x/3 = 11.99/3      

x = 3.99

Answer

4.00 per pound

Answer:

Quotient: 66

Remainder: 1

Step-by-step explanation:

133/2 = 66.5

66.5 =

66 + 0.5 =

66 + 1/2 = 66 1/2

1/2 * 2 = 1  ==> Remainder: 1

Whole number : 66

Quotient: 66

Remainder: 1

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Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

The lines with the equations y=-1/2x+1 and y=2x+1 are perpendicular lines

Linear equations are equations 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 equations of the lines are given as

y=-1/2x+1 and y=2x+1

Rewrite the above equations as

y = -1/2x + 1 and y = 2x + 1

A linear equation is represented as

y = mx + c

Where the slope of the line is represented as

Slope = m

This means that the slopes of the equations of the lines given as y=-1/2x+1 and y=2x+1 are

m1 = -1/2

m2 = 2

As a general rule, the relationship between slopes are

m1 = m2 --- parallel lines

m1 * m2 = -1 ---- perpendicular lines

In the equations of the lines given as y=-1/2x+1 and y=2x+1, we have

m1 * m2 = -1/2 * 2

Evaluate

m1 * m2 = -1

The above equation is true for perpendicular lines

Hence, the lines are perpendicular lines

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The solution to the equations are b = 15, b = 22, c = 21 and n = 28

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

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Answer:

200.86

Step-by-step explanation:

Using the formulas:

A=πr2

C=2πr

Solving for A:

A=C2

4π=50.242

4·π≈200.85812

I hope this helps.

Answer: b

Step-by-step explanation:

Answer:

ghthtf

Step-by-step explanation:

tygtgg

The area of a circle is 1017.36 miles².

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Radius = 18 miles

Now,

The area of a circle = πr²

So,

= πr²

= 3.14 x 18 x 18

= 1017.36 miles²

Thus,

1017.36 miles².

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Answer:

Yes.

Step-by-step explanation:

20 x 6 = 120 min.

12 x 6 = 72 miles

72 > 60.

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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The probability that 75% or more of the women in the sample have been on a diet is 0.0371 or 3.71 %.

Here, n = 267, p = 0.7, 1 = 0.3

Mean, \(m_p = p\)

⇒ \(m_p = 0.7\)

Standard deviation, \(\sigma_p = \sqrt(\frac{pq}{n})\)

⇒ \(\sigma_p\) = 0.028

The conditions for a sampling distribution to be normal distribution, it must satisfy

1. Randomization condition(SRS)

2. logo condition

3. success/failure condition

Hence, the given sampling distribution in the problem statement is approximately normal distribution.

n×p = 267×0.7 = 186.9 ≥ 10

n×q = 267×0.3 = 80.1 ≥ 10

Norm cdf = (0.75, 999, 0.7, 0.028) ≈ 0.0371 ≈ 3.71%

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Answer:

B: x≤5

Step-by-step explanation:

Hi there!

We're given two inequalities; 3x−8≤23  and −4x+26≥6

We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)

First, let's solve for x in both of them

taking the first inequality:

3x−8≤23  

add 8 to both sides

3x≤31

divide by 3

x≤31/3

now solve for x in −4x+26≥6

subtract 26 from both sides

-4x≥-20

divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number

x≤5

now let's graph these two inequalities to find the intersection, and that is below with the answer

Hope this helps! :)

Answer:

use the equation y=kx+b

Step-by-step explanation:

use the equation y=kx+b

solve the rest, I can't bother

Answer:

12 million

Step-by-step explanation:

Answer:

47400000

Step-by-step explanation:

12 million * 79/20 = 47400000

If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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Step-by-step explanation:

Speed with the wind = s + w = 3720 km / 3 hr = 1240 km/hr

Speed against the wind = s-w = 5000 / 5 = 1000 km/hr

s+ w = 1240

s-w = 1000        add these two equations together and solve for 's'

2s = 2240

s = speed of plane in still air = 1120 km/hr

then wind :   s+ w = 1240    shows w = 120 km/hr

Answer:

n = -4

Step-by-step explanation:

Start off by remembering PEMDAS which first P means parenthesis so use distributive property to multiply the 2n + 4 by the 3 in front of it and do the same to the n + 1 and multiply that by the 5 in front which turns your question into 6n+12-2=1+5n+5 so now i'd combine like terms on both sides which now gives you 6n + 10 = 5n +6 so now to get the n on one side i'm going to sub tact it from both sides doesnt matter which one you do but to make it easier i'd subtract the 5n from the 6n because the whole point is to solve for n and by doing that you'd already be getting it by itself. so now the question should look like n + 10 = 6 so subtract 10 from both sides to isolate the n and you get your answer n = -4

Answer:

N = - 4

Step-by-step explanation:

3 (2n+4)-2=1+5(n+1

distribute 3 through the paretheses

6n+12-2=1+5n

add the numbers

6n+10=6+5n

move constant to the right-hand side and change its sign

6n-5n=6-10

calculate the difference

n = - 4

Answer

91.67inch^3

Step-by-step explanation:

The volume of a cone can be calculated using below formula

V= 1/3 π.r^2h

Where h= height of the cone

r= radius of the cone

V= volume of the cone

Given :

height= 11 inches

radius= 5 inches

π= 3.14

Then substitute into the formula we have

V= 1/3 × 3.14× 5^2 ×11

V= 91.67inch^3

Therefore volume of the cone is 91.67inch^3

Answer:

sqrt-100 = 0 + 10i

and for the next question the answer is 3 + 6i

Step-by-step explanation:

i got it right on edg 2021

The product of 3√3 and 3√30 in simplest radical form is 27√10

It is important to note that surds are nth root of numbers.

Surds are also seen as the values in square root that cannot be further simplified to whole numbers or integers.

Surds are irrational numbers.

Given the expression;

3√3 and 3√30

To determine the value, multiply, we get;

9 √90

Find the pair factors of 90, we have;

9 √9 × 10

Find the square root

27√10

Hence, the value is 27√10

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