"Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Given:

One variety of gift wrappers sells for 50 cents a sheet the other for 25 cents a sheet.

In dollars,

One variety of gift wrappers sells for 0.5 dollars a sheet the other for 0.25 dollars a sheet.

The assortment will cost $7.

Let x be the number of 50 cents sheets.

Let y be the number of 25 cents sheets.

It is also given that,

The number of 50 cents sheets is 3 times the number of 25 cent sheets.

x=3y ........ (1)

0.5x+0.25y=7 ....... (2)

Substitute (1) in (2) we get,

Hence, x=3(4)

x=12

So, the number 50 cents sheets are 12 and the number of 25 cents sheet is 4.

The value of x is 10

From the diagram shown, we can see that it takes the shape of a   parallelogram

The properties of a parallelogram includes;

We can see that the diagonal bisects the parallelogram into equal halves and then the parallel and opposite sides are equal.

If the opposite sides of x = 10

Then, x = 10

Hence, the value is 10

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We cannot conclude that working in a digital workplace caused employees to be happier from the survey.

How is the conclusion from the survey explained?

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The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional.

Occurrence to determine the conditional probability. P(A and B) = P(A) * P if A and B are two Independent events (B).

How can you calculate the likelihood of two occurrences, A and B, coming together?

The probability of their union, or the event that either A or B occurs, is equal to the total of their probabilities less the sum of their intersection if two occurrences A and B are not disjoint. P(A) + P(B) - P(A and B) (A and B).

The answer is then (0.28 + P(B) - (0.51 = 0.23).

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Answer:

24

Step-by-step explanation:

Hakeem is the oldest of three siblings who ages are consecutive integers. If the sum of their ages are 69, find Hakeem age.

It should be noted that:

= 22 + 23 + 24

= 69

Hakeem's age is 24

Given :

R is the midpoint of QS

QR = 6x - 9

RS = 2x - 1

We need to find QS

So, as R is the midpoint

Solve the equation to find x :

Substitute with x to find QR and QS

As a first step we are going to isolate y in both equations:

(1) y=7x-2

(2) -2y=-14x+3

y=7x-3/2

Since they have the same slope 7, that mean these lines are parallel

Answer:

A. SSS

Step-by-step explanation:

Triangle ADT and triangle TDE are congruent triangles by SSS postulate.

Sides DE and DA, sides TE and TA are congruent (DT is common side).

So the answer is A. SSS

The probability that you will make at least $1300 is 2/39 or 0.0513.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.

27C2 = 351

Also, count how many ways you could make at least $1300.

# ways = 2 of $1000 each or 1 of $1000 and 1 of $500

# ways = (3C2) + (3 x 5)

# ways = 3 + 15

# ways = 18

Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.

probability = desired outcome / total outcomes

probability = 18 / 351

probability = 2/39 or 0.0513

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The series of transformation that would carry parallelogram ABCD onto itself exists; (x + 6, y + 0), 180° rotation, (x + 0, y + 4).

The coordinates of the vertex of the parallelogram are;

A(-5, 1), B(-4, 3), C(-1, 3), and D(-2, 1)

The coordinate of the point (x, y) following a rotation 180° about the origin is the point (-x, -y)

Following a rotation of the parallelogram ABCD about the origin we get;

A'(5, -1), B'(4, -3), C'(1, -3), and D'(2, -1)

Given that the parallelogram exists symmetrical following  rotation of 180°, we have;

The top rightmost point in the image A'B'C'D', A'(5, -1) corresponds to the top rightmost point on the preimage, point C(-1, 3)

Similarly, we have;

Point B'(4, -3), corresponds to point D(-2, 1)

Point D'(2, -1), corresponds to point B(-4, 3)

The difference in the corresponding points are;

Difference in x-values = 4 - (-2) = 6

Difference in y-values = -3 - 1 = -4

Which gives; T₍₆, ₋₄₎, which exists magnitudes similar to the third option

Therefore; by (x + 6, y + 0), 180° rotation, (x + 0, y + 4), we have;

Adding 6 to the x-values before rotation gives;

A''(-5 + 6, 1), B''(-4 + 6, 3), C''(-1 + 6, 3), and D''(-2 + 6, 1)

A''(1, 1), B''(2, 3), C''(5, 3), and D''(4, 1)

Rotating 180° about the origin gives;

A'''(-1, -1), B'''(-2, -3), C'''(-5, -3), and D'''(-4, -1)

Adding 4 to the y-values gives;

A''''(-1, -1 + 4), B''''(-2, -3 + 4), C''''(-5, -3 + 4), and D''''(-4, -1 + 4)

A''''(-1, 3), B''''(-2, 1), C''''(-5, 1), and D''''(-4, 3), which are the coordinates of the image;

A''''(-1, 3) ⇔ C(-1, 3)

B''''(-2, 1) ⇔ D(-2, 1)

C''''(-5, 1) ⇔ A(-5, 1)

D''''(-4, 3) ⇔ B(-4, 3)

Therefore, the series of transformation that would carry parallelogram ABCD onto itself are;

The complete question is:

What series of transformations would carry parallelogram ABCD onto itself?

(x + 0, y − 6), 180° rotation, (x − 2, y − 2)

(x + 0, y − 6), 90° clockwise rotation, (x − 2, y − 2)

(x + 6, y + 0), 180° rotation, (x + 0, y + 4)

(x + 6, y + 0), 90° clockwise rotation, (x + 0, y + 4)

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A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

___________________________

Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

5:2 means that it is divided into 7, and we do not move two positions from (7,7)

X axis

7- (-7) = 14

14/7 = 2

7-2*2 = 3

Y axis

7-(-6)= 13

13/7 =

7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7

______________________________

Answer

(3, 3 2/7)

If arthur walks 3 km north, and then turns east and walks 4 km. The  distance traveled  is 7km and his displacement is 5km.

Distance traveled:

Distance traveled = Km north + East Km

Distance traveled  = 3 km + 4 km

Distance traveled  = 7 km

Displacement

Using  Pythagoras theorem to determine  or find the displacement

B² = A ²+AB²

B² = 3 ² +4 ²

B = 9+16

B = √ 25

B = 5 km

Therefore the 7km is the distance and 5km is the displacement.

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Answer:

                         8

3x² + 2x - 2 - ----------

                      3x + 8

Step-by-step explanation:

                 3x² + 2x - 2

               --------------------------------

3x + 8     |  9x³ + 30x² + 10x - 24

                 -9x³ - 24x²     ↓

                --------------------------------

                             6x² + 10x

                             -6x² - 16x    ↓

                        -------------------------

                                       -6x - 24

                                       +6x + 16

                                  ----------------

                                               -8

I hope this helps!

The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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A figure that shows line z intersecting plane R at point M could be like:

The plane is black, the line is red and the point is blue.

Answer:

2 pizzas

Step-by-step explanation:

5 7/8 - 4 1/16=

5 14/16 - 4 1/16 ==> make the denominators equal to each other so they can be easily subtracted in the next step

5 + 14/16 - (4 + 1/16)=

5 + 14/16 - 4 - 1/16 =

5 - 4 + 14/16 - 1/16 =

1 + 13/16 = 1 13/16 which is approximately 2 pizzas

Based on the information provided about Arthur, we have the following:

In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate).

Distance simply refers to the amount of ground that is covered or travelled by a physical object (body) over a particular period of time and speed, irrespective of the physical object's direction, starting point, or ending point.

In conclusion, the distance covered by a physical object (body) over a particular period of time can be plotted by using a position-time graph as shown in the image attached below.

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The answer in interval notation is given by {96, ∞}.

An interval notation can be defined as a set of real numbers which comprises all of the real numbers that are representing a continuous function and lies between two set of numbers.

This ultimately implies that, an interval notation can be used as a technique for writing all of the subsets of the real number line.

Translating the given word problem into an inequality algebraic expression:

16 - s ≤ -80

Adding 80 to both sides of the expression, we have:

80 + 16 - s ≤ -80 + 80

96 - s ≤ 0

Rearranging the expression, we have:

s ≥ 96

Therefore, we have {96, ∞}.

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Complete Question:

Translate and solve: 16 more than s is at most -80.

Give your answer in interval notation.

Using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

So, the weight of Sean and Brad.

So, the equation will become:

x + 2x + 10 = 230

Now, solve this equation for 'x' as follows:

Rounding off: 73 lbs

Then,

Therefore, using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

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Answer:18

Step-by-step explanation:

Answer: A square is a shape with four equal-length sides and four corners that are all right angles.

Answer:

Explanation:

To evaluate the difference:

First, rewrite the expression in the form below:

Next, factor out the powers of 10.

Thus, the difference written in scientific notation is:

Note: A number is in scientific notation if it is expressed as a product of a number (between 1 and 10) and a power of 10.

In the given scenario, in order to calculate an 88% confidence interval, the z statistics that fall at each line marking the middle 88% of scores in the distribution would be +/- 1.555 (from the table).

Hence the z score = 1.5550

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Eli could buy is at least 24 sets of knives

From the question, we have the following parameters:

Let the number of sets be x

So, we have the following representations

Number of knives needed = Number of knives needed + Number of knives per set x Number of set

So, we have

312 + 10x ≥ 546

Evaluate the like terms

10x ≥ 234

Divide by 10

x ≥ 23.4

Rewrite as

x ≥ 24

Hence, the number of sets of knives Eli could buy is at least 24

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Answer:

Inequality: 312+10x≥546

x≥24

Step-by-step explanation:

its the same as the bottom

1. 2 ² x 5b³ =   20b³

2. (3a²) ² x 2 (b ²) ³ = 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex] 5d

3. 15d ³ divided by 3d ² = 5d

What is Operations?

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's acuity is determined by the number of operands.

The given problems are:

1. 2 ² x 5b³

2. (3a²) ² x 2 (b ²) ³

3. 15d ³ divided by 3d ²

1. 2 ² x 5b³

  = 4 x 5b³

  = 20b³

2. (3a²) ² x 2 (b ²) ³

  By the exponent rule:
         [tex](x^{n} )^m[/tex] = [tex]x^{n * m}[/tex]

                   = [tex]x^{nm}[/tex]

∴ 3[tex]a^{2*2}[/tex] x 2[tex]b^{2*3}[/tex]

= 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex]

3. 15d ³ divided by 3d ²

    15d ³ ÷ 3d ²

By the exponent rule:

         [tex]a^{m}[/tex]÷[tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]

∴  5[tex]d^{3-2}[/tex] = 5[tex]d^{1}[/tex]

              = 5d

Hence, The solutions are 20b³, 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex] and 5d

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The general slope intercept form is : y = m * x + b

Where m is the slope and b is y - intercept

Given the equation of the line : x + 3y = 8

Write the equation in slope intercept form to find the slope of the line

so, solve for y :

So, the slope of the given line = -1/3

The parallel lines have the same slope

so, the slope of the required line = -1/3

And the equation will be :

Find the value of b using the given point ( 5 , -6 )

When x = 5 , y = -6

So, the equation of the line will be :

it can be written as : 3y = -x - 13

1st question (the image):

y= -5/4x + 3/2

how to solve:

y=mx+b

b: where the line meets the y axis

3/2 is 1.5 which matches up perfectly with the graph

m: the direction of the slope

If you look where the line matches with a point and you go down -5 and go right 4 it matches up and thats why m = -5/4

2nd question (the text):

C) y = 3/4 x + 1/4

how to solve

draw a graph (up above)

y:mx+b

to find m: rise/run

find the first point (1,1) you have to go 3 points up and 4 points right to get to the next point

(5,4) and thats why m=3/4

b: where the link hits the y axis compare the answers and the graph and find the most resonable one... which is 1/4

SOLUTION

Carrie's credit card was stolen, she was charged $ 2,000

Hence carrier's is responsible for paying $2,000