Music player A: y= 191x-32
Music player B: y=-x^2+200x+20
A.On what days did the company sell the same number of each player?
B. How many players were sold on that day?

Answers

Answer 1

The day in which this company sold the same number of each player is on the 13th day.

The number of players on the 13th day is 2,451 players.

How to determine the days?

In order to determine the days in which this company sold the same number of each player, we would have to equate the linear equation representing Music player A to the quadratic function representing Music player B and then solve for the value of x.

By equating equation 1 and equation 2, we have the following:

y = 191x - 32             .........equation 1.

y = -x² + 200x + 20     ......equation 2.

191x - 32 = -x² + 200x + 20

x² - 200x - 20 + 191x - 32 = 0

x² - 9x - 52 = 0

Next, we would solve the above quadratic equation by using the factorization method;

x² - 13x + 4x - 52 = 0

x(x - 13) + 4(x - 13) = 0

(x + 4)(x - 13) = 0

x = -4 or 13 days.

Therefore, the company sold the same number of each player on the 13th day.

For the number of players, we have:

y = 191x - 32

y = 191(13) - 32

y = 2,483 - 32

y = 2,451 players.

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Related Questions

Solve 5x + 3 = 10 in order

Answers

Answer:

x = 10-3y whole divided by 5

Step-by-step explanation:

- divide by 3

-subtract 5x

-simplify - y=-5/3x+10/3

hope it helps i think its wrong tho

Answer:

5x + 3y = 10

Subtract 5x from both sides

Divide everything by 3

y = [tex]\frac{-5}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

5x + 3y = 10    Given

5x + 3y = 10  Subtract 5x from both sides

5x - 5x + 3y = -5x + 10

3y = -5x + 10    Divide everything by 3

[tex]\frac{3y }{3}[/tex] = [tex]\frac{-5}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

y = [tex]\frac{-5}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

Adriana arranges 5 square carpet tiles in a row to cover a rectangular walkway. If the total area of the carpeted walkway is 45 square feet, what is the length of the walkway in feet?

Answers

The length of the walkway in feet is 15.

The area of a square.

Any plane shape that has four equal length of sides is referred to as a square. Its area is the amount of space that it covers in a 2 dimensional plane. And the area of a square is given as;

area of a square = length x length

                           = length^2

It is measured in squared units.

Given that there are 5 square carpet tiles which covered an area of 45 square feet, then the area of one square carpet tile is;

area of one square carpet tile = total area covered/ number of tiles

                                     = 45/ 5

area of one square carpet tile = 9 square feet

But,

area of a square = length^2

9 = length^2

length = 3 feet

So that,

length of the walkway = 5 x 3

                                     = 15 feet

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A value of a share of the stock rose $2.35 and then dropped $3.25 before finishing the day at $64.35. What was the original value of the stock per share?

Answers

Answer:  $65.25

Step-by-step explanation:  First you do inverse operation which would be 64.35+3.25 and you would get 67.60 then you subtract 2.35 to get $65.25

65.25+2.35=$67.60

$67.60-3.25=$64.35

I need help again lol please help

Answers

The area of the triangle is 120 cm².

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that the base of the triangle is 12 cm and the hypotenuse is 32 cm.

The height of the triangle is 8 more than the base.

The height of the triangle is (12 + 8) = 20 cm.

The area of a triangle is 1/2 × base × height.

The area of the triangle is  1/2 × 12 × 20

= 12 × 10

= 120cm²

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find the curl of the vector field f. f(x, y, z) = (6y − z)i + ezj + xyzk

Answers

Refer to the attached photo.

A student collect data about a toy motorized airplane.
Mass = 4 kg
Time = 3 sec
Height = 5 meters
Velocity = 2 m/sec
Gravity acceleration = 10 m/sec2

What is the potential energy?

Answers

Answer:

PEg = 196.2 J

Step-by-step explanation:

PEg = mass * gravitational field* height

PEg = 4kg * 9.81m/s² * 5m

PEg = 196.2 kg m²/s²

The scatterplot below shows the relationship between the temperature, in degrees Fahrenheit, at a football game and the number of cups of hot chocolate sold during the game. Number of Cups Sold Hot Chocolate Sales 160 140 120 100 80 60 40 20 0 30 ● 40 50 Temperature (F) -70 80 Which of the following graphs best represents the line of best fit for this data? Tim Atter​

Answers

The graph that  best represents the line of best fit for this data is given below.

What is the line of best fit?

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

The scatter plot below shows the relationship between the temperature, in degrees Fahrenheit, at a football game and the number of cups of hot chocolate sold during the game.

The table for calculation and plot are given in the attached image.

The line of the best fit for the scatter plot is ŷ = -14.15584X + 1144.93506

Therefore, the line of the best fit is ŷ = -14.15584X + 1144.93506.

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How many times smaller is 1.2 × 106 than 1.47 × 107? 0.82 1.35 2.67 12.25

Answers

1.25 times 1.2×106 is smaller than the 1.47×107. Therefore, the correct answer is option D.

Given that, 1.2×106 and 1.47×107.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Here,

1.2×106 = 127.2

1.47×107 = 157.29

Now, [tex]\frac{157.29}{127.2}[/tex]

= 1.25

Therefore, the correct answer is option D.

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Please help with this problem, thanks.

Answers

The absolute value function on the graph is the one in option D.

y = |x| + 1

Which function is the graphed one?

On the graph we can see an absolute value function that has a vertex at (0, 1) and a slope of 1.

Remember that an absolute value function with a slope of 1 with a vertex at (h, k) can be written as.

y = |x -h| + k

So, knowing that the vertex is at (0, 1) we conclude that the absolute value function is:

y = |x| + 1

Thus the correct option is D.

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B is between A and C.

AB=50 BC=3x AC=6x−25
Find the value of x.

25
65
20
45

Answers

The value of x if the point B is between the points A and C is (a) 25

How to determine the value of x

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

B is between A and C.

Also from the question, we have the following parameters:

AB = 50

BC = 3x

AC = 6x−25

The statement "B is between A and C" implies that

AC = AB + BC

Substitute the known values in the above equation, so, we have the following representation

50 + 3x = 6x - 25

Evaluate the like terms

3x = 75

Divide both sides by 3

x = 25

Hence, the solution of x is 25

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Which is the correct order of the steps in bisecting a line segment?

Answers

The order of the steps for the bisection of line segment AB will be D, E, B, C, and A.

The first thing we do for bisecting any line segment is to take up a distance of more than the approximate half of the line segment and place the compass on either point of the line.

Hence the first point will be D. Place the compass on point A and open it wider than half the distance of the segment.

Since an arc on both sides of the segment has to be drawn, the next point will be E. Swing an arc above and below the segment.

Since the same thing has to be repeated for the other point, the next point will be B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

Now we have got 2 points above and below the line segment, the next point has to be C. Place points C and D on the intersection of the arcs created above and below segment AB.

The line intersecting these points and AB has to be the point that divides AB in half, and the last point will be A. Draw a line from point C to point D.

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Complete Question

What is the correct order of steps for bisecting segment AB?

A. Draw a line from point C to point D.

B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

C. Place points C and D on the intersection of the arcs created above and below segment AB.

D. Place the compass on point A, and open it wider than half the distance of the segment.

E. Swing an arc above and below the segment.

Here are three expressions that have the value of - 1/2

-1/4 + (-1/4

1/2 - 1

-2 x 1/4

Write five expressions: a sum, a product , a quotient, and one that involves at least two operations that have the value of -3/4 .

Answers

On solving the provided question we can say that three expression whose value = -3/4 are -1/4-3/4; -2/4-1/4; 1-1/4

what is expression ?

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

by expression

three expression whose value = -3/4 are -1/4-3/4; -2/4-1/4; 1-1/4

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Solve for the system of equations.
x + 2y = 10
2x + 20 = y

Answers

Answer:

X = -6, y = 8.

Step-by-step explanation:

Rearrange the second equation to the form ax + by = c

x + 2y = 10

2x - y = -20

Multiply equation 1 by -2

-2x - 4y = -20

Adding this to the second equation

-5y = -40

Y = 8.

Now substitute x = 8 into equation 1

X + 2(8) = 10

X = -6.

What is SSS similarity theorem examples?

Answers

The examples of SSS similarity theorem (i.e If all the three sides of a triangle are in proportion to the three sides of another one) are ∆ABC is similar ∆DEF and one large triangle is similar to smaller one as seen in above figure.

SSS Triangle Similarity Examples : 1) How can you use the SSS similarity criterion to show that the following triangles are similar?

Only non-zero angles are specified. SSA is not a measure of triangle similarity, so we cannot say that these triangles are similar by SSA. However, since they are right triangles, you can use the Pythagorean theorem to find the third side of any triangle.

for large triangle 36² + x² = 45²

=> x² = 45² - 36² = 2025 - 1296 = 729

=> x = √729 = 27

for small triangle 12² + x² = 15²

=> x² = 15² - 12² = 225 - 144 = 81

=> x =√81 = 9

All three pairs of sides are proportional in ratio 3. Therefore, triangles are more similar to SSS~.

2) Are the triangles (that is, ΔABC and ΔDEF) similar?

All triangles have the same three sides. The ratio between each pair of sides is 4x/x = 4. The triangles through SSS~ are similar because the three pairs of sides are proportional.

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If the sum of two numbers is 6 and the difference is 2 what are the two numbers

Answers

Answer: 4 and 2

Step-by-step explanation:

4+2=6

4-2=2

Answer:

4 and 2

Step-by-step explanation:

4+2=6

4-2=2

6-2=4

NEED HELP FAST AND PLEASE


What process could you use to solve equations of the form (x + a)(x + b) = 0? In this case there are only two factors (values being multiplied) that are being set equal to 0. How would you solve the equation if there were more than two factors? Explain.

Answers

Answer:

Step-by-step explanation:

(x + a) * (x + b) = 0?

The ONLY way that two things can multiply together to give zero is if ONE or BOTH of them IS ZERO.

so,

x+a=0 or x+b=0

(0 + a) * (a+ b) = 0 or (x + a) * (0+ b) = 0 or (0+ a) * (0+ b) = 0

Write the equation tor the parent linear value function, f(x)=x, that has been transformed by:

a. reflecting across the -axis, vertical stretch by a scale factor 4, and a translation of 4 units up amd 5 units left

b. vertical shrink by a scale factor of 14 and a horizonta shift O units right.

c. reflection in the x-axis, a vertical shift of 4 units up and a horizontal shift 7 units left

Answers

The required functions after transformations are y = -4(x+4)+5, y = (x-o)/14, y = -x+4

What is transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, the equation for the parent linear value function, f(x)=x, that has been transformed by,

a) Reflecting across the -axis, vertical stretch by a scale factor 4, and a translation of 4 units up and 5 units left :-

Rule for reflection across x-axis = y = f(x) → y = -f(x)

After reflection,

f(x) = -x

And there is a vertical stretch by a scale factor 4, and a translation of 4 units up and 5 units left

f(x) = -4(x+4)+5

Therefore, the function will be f(x) = -4(x+4)+5

b) Vertical shrink by a scale factor of 14 and a horizontal shift O units right.

For vertical shrink = f(x)/14 = x/14

For horizontal shift = (x-o)/14

Therefore, the function will be f(x) = (x-o)/14

c) Reflection in the x-axis, a vertical shift of 4 units up and a horizontal shift 7 units left.

Rule for reflection across x-axis = y = f(x) → y = -f(x)

f(x) = -x

For a vertical shift of 4 units up and a horizontal shift 7 units left =

f(x) = (-x-7)+4

Hence, The required functions after transformations are y = -4(x+4)+5, y = (x-o)/14, y = -x+4

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Helppp!!!!

Solve for N

12/9 = 4/N

Answers

Answer:

n=3

Step-by-step explanation:

you must cross multiply

The blue dot is at what value on the number line?

Answers

Based on the number line provided, it can be concluded the blue dot is equivalent to 0.

What is a number line?

This is a horizontal line with values or numbers on it. Number lines are different from just any other line because the numbers on them follow a sequence and at placed at defined intervals. Most number lines include the number 0,1,2,3, but the sequence might be different.

What value does the blue dot represent?

Based on the values provided, it can be concluded the sequence is -10,-6,-8, etc. and this would make the blue dot to be 0.

Note: This question is incomplete, below I attach the missing information.

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What are the 4 rules of congruence?

Answers

The 4 rules of Congruence that are used in proving two triangles congruent are (SSS) Side - Side - Side , (SAS) Side - Angle - Side , (ASA) Angle - Side - Angle and (RHS) Right Angle - Hypotnuse - Side .

The Two Triangles are called Congruent if their sides have same length and angles have same measure.

The Four rules by which we can prove 2 triangles as congruent are :

(i) (SSS) Side - Side - Side ,

The 2 triangles are said to be congruent by SSS rule. If all 3 sides of one triangle are equivalent to the corresponding 3 sides of second triangle .

(ii) (SAS) Side - Angle - Side ,

The 2 triangles are said to be congruent by SAS rule if , any 2 sides and the angle included between sides of one triangle is equivalent to corresponding 2 sides and the angle between sides of second triangle .

(iii) (ASA) Angle - Side - Angle ,

The 2 triangles are said to be congruent by SAS rule if any 2 angles and the side included between angles of one triangle is equivalent to  corresponding 2 angles and side included between angles of second triangle .

(iv) (RHS) Right Angle - Hypotnuse - Side ,

The 2 triangles are said to be congruent by SAS rule if , hypotenuse and a side of a right- angled triangle is equivalent to hypotenuse and side of  second right- angled triangle .

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The 4 rules of congruence

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

SSS (Side-Side-Side) The two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.

According to the SAS (Side-Angle-Side) rule, two triangles are said to be congruent if any two sides and any angle included between the sides of one triangle are comparable to the corresponding two sides and any angle included between the sides of the second triangle.

The two triangles are said to be congruent by the ASA (Angle-Side-Angle) rule if any two angles and the side included between the angles of one triangle are comparable to the corresponding two angles and side included between the angles of the second triangle.

AAS (Angle-Angle-Side) (Angle-Angle-Side)

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

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I've given up on math. I hate it.

Answers

The linear equation representing the data in the table is y = x - 3, therefore;

The slope, m = 1
The y-intercept, c = -3

What is a linear equation?

A linear equation is an equation of the form y = m·x + c, in which the highest index of the variables is 1, and the graph of the ordered pairs obtained using the equation is a straight line.

The first difference of the y-variable is constant and each next value the x-variable increases by 1, therefore, the relationship is a linear relationship.

The slope, m, is therefore;

m = (-3 - (-4))/(0 - (-1)) = 1

The slope of the graph of the data, m = 1

The equation of the line that represents the graph of the data in the table using the point (3, 0) is therefore;

y - (0) = 1·(x - 3) = x - 3

Therefore; y = x - 3

The above equation is in the slope-intercept form, y = m·x + c, with the slope, m = 1, and the y-intercept, c = -3

The y-intercept of the data in the table therefore is -3

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HELP PLSSS!!!
Prove the divisibility of the following numbers: 45^45 x 15^15 by 75^30

Answers

Answer:

see attached

Step-by-step explanation:

Over what interval(s) is the function strictly linear?

(A) -2 < x < 2
(B) -2 < x < 0 and 2 < x < 4
(C) 0 < x < 2
(D) 0 < x < 2 and 2 < x < 4

Answers

Th equation is linear at  -2 < x < 0 and 2 < x < 4.

What is linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. Because of this, it is referred to as a "linear equation."

Given graph,

to find the intervals where function is linear,

for linearity ,

Linearity is the property of a mathematical relationship (function) that can be graphically represented as a straight line. Proportionality and linearity are closely linked concepts.

from graph we find that the intervals at which  the function is linear are,

(-2, 0) (0, 2) and (2, -2) (4, 2)

te coordinates of x are

-2 and 0, 2 and 4

-2 < x < 0 and 2 < x < 4

Hence the  interval is the function strictly linear are,

-2 < x < 0 and 2 < x < 4

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You can exchange 10 euro (€10) for 210 peso.
How many pesos will you get in exchange for 1 euro (€1)?

Write down a function to show the relationship between y pesos and x euros.

Answers

Answer:

Step-by-step explanation:

As stated in the question,

let's number of euros be x and number of pesos be y

So,

10x =210y

x=21y

x - 21y =0 (Functional relationship between x euros and y pesos)

25 points !! Select the correct answer. Given: AD || BC Prove: DC = 6 units

Answers

Answer:

c

Step-by-step explanation:

Answer is C and it is proven by ASA theorem as one side and two angles are equal.
As for naming of the triangle you can write the name of first triangle as you like but the second triangle will be named with respect to the first one. As here,
AngleDAC is equal to angleBCA
And angle DCA is equal to Angle BAC
We can prove the option C

Jahquil makes $35 an hour working as an accounting assistant she works 40 hours each month Jahquil will have made after she worked seven months

Answers

Answer: 9,800

Step-by-step explanation: $35 X 40h (hours) = $1,400 x 7m (months) = 9,800

Select all that are equal to 5^3* 5^-7

Answers

5^3=125
5^-7=0.0000128
125*0.0000128=0.0016

Avery says the greatest common factor of 12 and 15 is 60. Is Avery Correct? Explain how you know.

Answers

Answer:

Incorrect

Step-by-step explanation:

60 is the lowest common multiple of 12 and 15, not the greatest common factor.

The greatest common factor of 12 and 15 is 3, not 60.

The polynomial (x – 2)(x2 + 1) – x(x – 3) can be written in the form: ax3 + bx2 + cx + d where a, b, c, and d are constants. What are the values of a, b, c, and d? Show your work.

Answers

The values of the constants in the polynomial are a = 1, b = 0, c = 1 and d = -2

How to find the values of a, b, c, and d?

A polynomial is a mathematical expression involving a sum of powers in one or more variables, with coefficients that are real numbers.

The variables in a polynomial are typically represented by letters such as x and y, and the powers of the variables are represented by whole numbers.

We have polynomial (x – 2)(x² + 1) – x(x – 3), in order to write it in the form ax³ + bx² + cx + d,  we need to expand the expression. That is:

(x – 2)(x² + 1) – x(x – 3) =  (x² – 2)(x + 1) – x(x – 3)

                                      = x²(x + 1)  – 2(x + 1) – x(x – 3)

                                      = x³ + x² – 2x -2  – x² + 3x

                                      = x³ + x - 2

Thus, the values of a, b, c, and d are a = 1, b = 0, c = 1 and d = -2

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For a lower tail test, the test statistic z is determined to be zero. The p-value for this test is
a +.5.
b -.5.
c zero.
d 1.

Answers

The p-value for a lower tail test with a test statistic z of zero is 1, meaning that the probability of obtaining a result at least as extreme is 100%.

The lower tail test is a type of hypothesis test used to determine if a sample of data comes from a population with a certain mean or below. The test statistic z is used to calculate the p-value of the test, which is the probability of obtaining a result at least as extreme as the one observed. In this case, the test statistic z is zero, so the p-value of the test is 1, meaning that the probability of obtaining a result at least as extreme is 100%. To calculate this, the z-score is determined by subtracting the mean of the population from the sample mean and dividing by the standard deviation of the population. Then, the cumulative probability is calculated by finding the area under the normal distriabution curve from negative infinity to the z-score obtained from the calculation. The p-value is then equal to the cumulative probability. In this case, the p-value is 1 since the z-score is zero.

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Question 2 A figure skater, spinning with her arms outstretched, pulls her arms toward her and experiences an increase in angular speed. Which of the following principles explains this increase in speed? a.The conservation of energy, because there is a transfer of translational kinetic energy to rotational kinetic energy b.The conservation of energy, because her total translational and rotational kinetic energy must be the same before and after she pulls in her arms c.The conservation of angular momentum, because as her arms move in, her overall rotational inertia is lowered, therefore increasing her angular speed d.The conservation of angular momentum, because her rotational inertia remains the same, resulting in an overall increase in angular speed E e.None of these, since the skater's speed will remain unchanged without an external torque to increase the angular speed You wish to electroplate a metal utensil with a surface area of 736 cm2 with gold to give an average thickness of 0.025 mm over the entire surface. Starting with a solution of excess Au3 and applying a constant current of 14 A, how long will it take to electroplate the utensil The term "merchandise trade balance" is used to describe: 1) the balance of trade in services. 2) the balance of trade in goods. 3) the level of trade in goods. 4) the level of trade in services. boaz was not only ruths kinsman redeemer, he was also the one carrying the davidic lineage.T/F Which of the external and internal business environment has greater influence on business organization? Was the Columbian Exchange ultimately a good thing for the world or a bad thing? in adolescence, __________ parenting predicts high self-esteem. What is the horizontal example? Which number line segment summarizes the info about the function (graph a )? designing tables is easier if a _____ is used to show a tables structure, fields, and primary key. in the 1820s during a period of rapid economic change the united states still had international issues to address, such as the attempts by european powers to further colonize or cause political interference in the americas, causing the adoption of the in 1823. A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $350. The skier would have to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? A malignant black tumor is a _______carcin_______. The skull that protects the brain has joints. State two reasons why this is so. A user has a computer that runs windows 10. The user reports that it takes a very long time to start the computer. You need to identify which user applications cause the greatest delays when starting the computer. Which tool should you use?. Directions: Solve each problem using the correct algebraic rules. 1. Write an expression for each of the following: a. the sum of 6 and z b. the difference between 20 and x c. 8 less than the quotient of x divided by 6 d. x increased by 5 divided by 4 What expression is a prime polynomial? A social bookmarking site is dedicated to providing all of the following except ________. to reconnect with colleagues for business progress to share favorites to store and categorize favorite sites to annotate How long ago did oceans form in Mya? When the temperature outside drops below 30 degrees and you need to walk your dog, marketers might say you have a(n) ________ to put on a coat.