Jerome is buying one pair of pants priced at $27.99. The sales tax is 7.5%.

What is the total cost with tax of the pants?

A: $29.84

B: $30.09

C: $35.49

D: $37.32

Using conditional probability, the expression is given by:

P(S|G)

Conditional probability:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

Then, the conditional expression is:

P(S|G)

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By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

What is the parallel lines?

Parallel lines are two lines in a plane that never intersect.

1. Orientation of Lines:

Parallel lines are lines that never intersect and remain equidistant from each other at all points.

When constructing parallel lines, the lines are drawn in the same direction and maintain the same distance between them throughout their entire length. They do not meet or cross each other.

On the other hand, perpendicular lines are lines that intersect at a right angle (90 degrees). When constructing perpendicular lines, the lines are drawn so that they intersect at a right angle, forming four right angles at the point of intersection.

2. Tools/Methods Used:

Constructing parallel lines and constructing perpendicular lines may require different tools or methods.

To construct parallel lines, one common method is to use a straightedge and a compass. A straightedge is used to draw a straight line, and a compass is used to measure and transfer distances to create additional parallel lines.

Therefore, By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

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Answer:

2 (2 x - 3)

Step-by-step explanation:

Simplify the following:

2 (4 x - 3) - 3×3 x + 5 x

-3×3 = -9:

2 (4 x - 3) + -9 x + 5 x

Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):

2 (4 x - 3) + (5 x - 9 x)

5 x - 9 x = -4 x:

2 (4 x - 3) + -4 x

2 (4 x - 3) = 8 x - 6:

8 x - 6 - 4 x

Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:

(8 x - 4 x) - 6

8 x - 4 x = 4 x:

4 x - 6

Factor 2 out of 4 x - 6:

Answer: 2 (2 x - 3)

37/56 is the answer

you can cross multiply

Answer:

37/56

Step-by-step explanation:

Find the least common multiple of the denominators (56).

7x8=56

8x7=56

2x8=16

3x7=21

16+21=37

37/56

ANSWER

EXPLANATION

When triangle DEF is reflected over the y-axis, its vertices are mapped to,

Then, after the translation down 4 units and right 3 units, D' is mapped to S, E' is mapped to R, and F' is mapped to U.

Hence, the congruency statement that describes the two triangles is ΔDEF

Answer:

He must make $7,500 in sale

Step-by-step explanation:

Let's say:

s = amount make in sales per week

P1 = weekly salary of Plan 1

P2 = weekly salary of Plan 2

P1 and P2 can be expressed using the fixed amount plus the commission.

P1 = 600 + 0.02s

P2 = 0 + 0.1s

P2 = 0.1s

If both plans result in the same salary:

P1 = P2

600 + 0.02s = 0.1s

0.1s - 0.02s = 600

0.08s = 600

s = 600/0.08

s = $7,500

The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Answer:

the answer x algorithm happy fail day

Answer:

I think it's 0,36 try it you'll never fail this

Answer:

h(0) = -2

x = 3

Step-by-step explanation:

Line is intersecting x and y axes at points (1, 0) & (0, -2)

Slope of line (m) = (-2 - 0)/(0 - 1) = -2/(-1) = 2

y - intercept (b) = -2

Equation of line in slope-intercept form is given as:

y = mx + b

plugging the values of m and b in the above equation, we find:

y = 2x + (-2)

y = 2x - 2

Replacing y by h(x), we find:

h(x) = 2x - 2 (This is the required function)

Plug x = 0 in the function, this gives:

h(0) = 2(0) - 2

h(0) = 0 - 2

h(0) = -2

Plug h(x) = 4

4 = 2x - 2

4 + 2 = 2x

6 = 2x

x = 6/2

x = 3

Answer:

a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1

point)

b) What is the vertex of the parabola? (1 point)

Step-by-step explanation:

Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

Answer:

Complementary

Step-by-step explanation:

These 2 angles add to 90 degrees, making them complementary.

Answer:

complementary angle

Step-by-step explanation:

please mark me as brainlest

Answer:

w=2

Step-by-step explanation:

-14w + 21 = 1 - 4w

-10w + 21 = 1

-10w = -20

w = -20/-10

w=2

Answer:

20 - 10 W = 0

-7 (2w - 3) = 1 - 4w

21 - 14w = 1 - 4 w

w = 2

HOPE THIS HELPS <3 :) HAVE A NICE DAY

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

The answer is option (B) 3/8, the probability of getting the color purple is 3/8.

To calculate the probability of getting the color purple, we need to consider the total number of colors and the number of times purple appears.

Given:

Green = 90°

Orange = 90°

Red = 45°

Purple = 135°

There are a total of 360° in a circle, representing all possible outcomes.

To calculate the probability, we divide the number of degrees for purple by the total number of degrees:

Probability of getting purple = Degrees for purple / Total degrees

Degrees for purple = 135°

Total degrees = 360°

Probability of getting purple = 135° / 360°

Simplifying the fraction:

Probability of getting purple = 3/8

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Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

At the district competition for 5th grade jump-roper of the year, the mean number of jumps, rounded to the nearest hundredth is 242.83 and the median number of jumps is 265

The mean can be calculated as follows:

Observations (the number of jumps each student without pausing was counted); There were 24 observations

Mean is calculated by adding all of the observations together.

Mean = (203 + 245 + 237 + 233 + 90 + 100 + 100 + 277 + 265 + 264 + 265 + 285 + 288 + 291 + 291 + 290 + 300 + 224 + 200 + 257 + 290 + 279 + 266 + 288)/24

Mean = 5828/24

Mean = 242.83

to figure out the median;

The observations must first be put into either ascending or descending order.

Ordered in descending order

90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 265, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300

Given that there have been 24 observations (an even number).

The middle number, 265 and 265 at the midway of items 12 and 13, is used to calculate the median.

The average of these figures is then determined.

Median = 1/2 (265 + 265)

Median = 265

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Answer:

y = - 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{3}\) x - \(\frac{2}{3}\) ← is in slope- intercept form

with slope m = \(\frac{1}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{3} }\) = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (1, - 5 ) into the partial equation

- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2

y = - 3x - 2 ← equation of perpendicular line

Answer:80

Step-by-step explanation: It is 80

Answer

a) i¹¹³ = i

b) i⁸² = -1

c) i⁴⁸ = 1

d) i²²³ = -1

Explanation

The complex number i, is expressed mathematically as

i = √(-1)

So,

i² = i × i = √(-1) × √(-1) = -1

i³ = i²× i = -1 × i = -i

i⁴ = i² × i² = -1 × -1 = 1

Hence, we can see that when the power on the complex number (i) is a multiple of 4, the answer will always be equal to 1.

So, this is the basis to solving all the expressions given.

a) i¹¹³

For 113, the closest multiple of 4 to this number is 112.

i¹¹³ = i¹¹² × i

i¹¹² = 1

i¹¹³ = i¹¹² × i = 1 × i = i

b) i⁸²

The closest multiple of 4 to the number 82, is 80.

i⁸² = i⁸⁰ × i²

i⁸⁰ = 1

i² = -1

i⁸² = i⁸⁰ × i² = 1 × -1 = -1

c) i⁴⁸

The number 48 is a multiple of 4, so,

i⁴⁸ = 1

d) i²²³

For the number 223, the closest multiple of 4 to this number is 220.

i²²³ = i²²⁰ × i³

i²²⁰ = 1

i³ = -i

i²²³ = i²²⁰ × i³ = 1 × -i = -i

Hope this Helps!!!

Answer:

Ratios are proportional if they represent the same relationship.

Step-by-step explanation:

The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Here,

A) 6/21 and 2/42

2/7 and 1/21

So, the given ratios are not in proportion.

B. 25/100 and 50/150

1/4 and 1/3

So, the given ratios are not in proportion.

C. 18/24 and 6/12

3/4 and 1/2

So, the given ratios are not in proportion.

D. 7/14 and 20/40

1/2 and 1/2

The given ratios are in proportion.

Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which pair of ratios is proportional?

A. 6/21 and 2/42

B. 25/100 and 50/150

C. 18/24 and 6/12

D. 7/14 and 20/40

The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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Answer: x = 4

Step-by-step explanation:

5x - 3 ≥ 13

Substitute x with 4

5(4) - 3 ≥ 13

20 - 3 ≥ 13

17 ≥ 13

17 is greater than or equal to 13

The equation that represents the total cost of the membership will be y = 5x + 265.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.

Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,

y = 5x + 265

The equation that represents the total cost of the membership will be y = 5x + 265.

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Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Answer:

A. (0,1,2,4,6,8,9) is ur Answer

Answer:

A

Step-by-step explanation:

The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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Answer: O 17% growth it was a little bit confusing but this is the answer I came up with

Step-by-step explanation: hope it helps