Kat plays a surfing video game with a friend. Each player earns 50 points for each trick he performs, but loses 40 points each time he falls off the surfboard. Last week, Kat had 6 stunts and 9 falls. Her score from her today was 3 times her score from last week. What was Kat's score today. What would be different about Kat's score today if it were –3 times her score from last week? What would be the same? Explain your reasoning.

Answers

Answer 1

Step-by-step explanation:

No. of points got from 1 stunt = 50.

No. of points deducted from 1 fail = 40.

6 stunts and 9 falls were gained last week.

So, A/C the number of points earned =

(6×50)-(9×40)

= 300 - 360

= -60

Her score today is 3 times her score from last week so multiply by 3

= (-60) × 3

= -180

If it were multiplied by -3 instead of 3 it would be...

(-60) × (-3)

= 180

The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.

The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.


Related Questions

Drag the red and blue dots along the x-axis and y-axis to graph
3x+8y=27

Answers

Answer:

Hope this helps you

Step-by-step explanation:

3x+8y=27   (0,9) .... look at picutre

Which addition would MOST likely improve the effectiveness of the advertisement?
a picture of the pillow
a personal quote from someone who has used the pillow
research that verifies the number of people who preferred the pillow
a consumer safety rating

Answers

Answer:

Research that verifies the number of people who preferred the pillow.

Sorry, if I'm wrong.

the toll on a highway us based on the miles driven. If the toll in a 15-mile stretch on a highway is $0.60. find the cost to drive a 80-mile stretch

Answers

Answer: $3.20

Step-by-step explanation:

We have

15-mile stretch = $0.60

80-mile stretch = x

Cross Multiply

15 × x = 80 × $0.60

x = 80 × $0.60/15

x = $3.20

Hence, the cost to drive an 80-mile stretch is $3.20

Find the sum of the measures of the interior angles of a convex nonagon.

The sum of the measures of the interior angles is ?

Answers

answer

7π radians

steps

non in nonagon means 9

nonagon has 9 sides

convex means each angle is less than 180°

sum of interior angles convex N -sided polygon =

π(N −2) radians

π(9 −2) radians

7π radians

socratic

wikipedia

cuemath

mathworldwolfram

oxfordlanguages

Answer:

7πradians

Step-by-step explanation:

non in nonagon means 9

nonagon has 9 sides

convex means each angle is less than 180°

sum of interior angles convex N-sided polygon=

π(N-2) radians

π(9-2) radians=

7πradians

A student uses 4 cup of peanuts to make 3 cups of
Trail Mix. Using this same proportion, how many cups of
peanuts are needed to make 5 cups of Trail Mix?

Answer quickly I gotta finish my work asap

Answers

Answer:

6 [tex]\frac{2}{3}[/tex] cups

Step-by-step explanation:

we can set up a proportion:

[tex]\frac{4}{3}[/tex] = [tex]\frac{t}{5}[/tex]     't' equals the number of cups of peanuts to make 5 cups trail mix

now we can cross-multiply to get:

3t = 20

t = 20/3 or 6 2/3 cups

helppp pls ive been here ages

Answers

The final velocity in the given equation is −0.5, when the acceleration is -5.

What is velocity?

The distance covered by a body in one unit of time in a specific direction is referred to as velocity. M/s is always the only metric unit of velocity.

Speed and velocity are different in that:

i) velocity is a vector quantity, meanwhile speed is a scalar quantity.ii) Speed is always positive, in contrast to velocity, which can be either positive or negative.iii) The difference between velocity and speed is the amount of distance covered in a given amount of time when moving in a specific direction.

v = u + at

here,

a = average acceleration

v = final velocity

u = initial velocity

t = time

given,  u = 2

a = -5

t = 1/2 = 0.5

putting the values

v = 2 + (-5)(0.5)

v = 2 - 2.5

v = −0.5

Thus, The final velocity in the given equation is −0.5, when the acceleration is -5.

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1
The graph shows an image of a dilation about the origin with a scale factor of 2.
-10-8-6-4-
2
40
1
What are the coordinates of the pre-image of A', point A?
(-8,-12)
01
8 10 X

Answers

As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

What is a coordinate plane?

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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If f(x)=x is the parent graph, then which equation represents the shown transformation?

Answers

y-axis 6 5 4 3 2 1 x=ax S 4 -3 2  -1 1 2 3 4 5 6 -1 -2.    

What is transformation?It refers to the act, process, or instance of transforming or being transformed. Regarding transformative learning, Mezirow indicates learning occurs when there is a transformation in one of our beliefs or attitudes, or a change of our entire perspective. Learn more in: Connecting Teachers' Dispositions With Their Teaching Philosophies2.A process of change and development. When it refers to human transformation, it implies an internal change and growth to one’s highest potential or best oneself, which affects one’s worldview, behaviors, and thought. Learn more in: Two Languages, One Self: The Story of My Bilingual Journey3.In general it is a result of an effect of environment that changes an object. In everyday practice it is a set of actions that change the state or properties of different materials, goods, services or knowledge. Learn more in: Instructional Technologies of the XXI Century: Theoretical Approach

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A transformation modifies the parent function's graph.

What is meant by Transformations?

The graph of a parent function is changed by a transformation. Transformations come in three different flavors: translations, reflections, and dilations.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Making pictures or replicas of an object is part of transformation geometry. You are introduced to transformation geometry in grade 9 through the use of translation, reflection, dilation, and rotation.

The foundation of the problem transformation approach is the notion that, if we are unable to address the given problem directly, we will move it to a setting where we can do so. The method's fundamental component is how the problem is broken down into smaller tasks.

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided Write a list of steps that are needed to find the measure of ∠B

Answers

The measure of angle B in the given triangle is 41°

Calculating the measure of an angle in a triangle

From the question, we are to calculate the measure of angle B.

From the exterior angle theorem of a triangle which states that if a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

Then,

We can write that

∠B + 72° = 113°'

∠B = 113° - 72°

∠B = 41°

Hence, the measure is 41°

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What is the exponential value of 3?

Answers

The exponential value of 3, also known as [tex]e^3[/tex]  is the value of the mathematical constant e (approximately equal to 2.71828) raised to the power of 3.

To calculate [tex]e^3[/tex] , we would use the following formula:

[tex]e^3[/tex]= e x e x e = 2.71828 x 2.71828 x 2.71828 = 20.0855

So, the exponential value of 3 is approximately 20.0855.

It's important to note that the exponential value of any number is a real number, the value of e is raised to the power of that number. The mathematical constant e, also known as Euler's number, is an important number in mathematics and is used in various branches such as calculus, statistics and probability. It has also been used in physics and engineering, it appears naturally in many processes such as radioactive decay, natural growth and decay of populations, and more.

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Do the side lengths 9 12 and 15 form a right triangle?

Answers

The sides of lengths 9, 12 and 15 will form right angled triangle with 15 as hypotenuse.

We can check if the mentioned side form right angled triangle or not by checking the values through Pythagoras theorem. The hypotenuse will be 15 from mentioned sides, as it is longest. Now, writing the Pythagoras theorem.

Hypotenuse² = Perpendicular² + Base²

15² = 9² + 12²

Taking square on the right and left hand side of the triangle

225 = 81 + 144

Performing addition on Right Hand Side of the triangle

225 = 225

Since both sides of equation are equal, hence, right angled triangle can be formed.

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How does the substitution method works for solving a two order system of equations?

Answers

The method of solving "by substitution" works by solving one of the equations for one of the variables, and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

A quadratic equation is a second-order equation written as ax² + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

To solve two order system of equations using substitution, follow these steps:

Step 1. Choose one equation and solve it for either of the one variables.

Step 2. In the other equation, substitute the value get from step 1.

Step 3. Solve the new equation.

Step 4. Substitute the value found into any equation involving both variables and solve for the other variable.

Step 5. Check the solution in both original equations.

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Use the point in the graph to find the equation of the line in point-slope form

A

y-3=5(x-1)


B

y+3=5(x+1)


C

y+3=5(x-1)

D

y-3=5(x+1)

Answers

Answer: the correct answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of the graph in the slope intercept form is

y = 5x -2

The slope is 5.  If you start at the y-intercept (0, -2) and go up 5 and 1 to the right you will be at the red point (1,4).  The slope is the rise over the run.

[tex]\frac{5}{1}[/tex] = 5.  

The y -intercept is where the line crossed the y axis (0,-2)

The y intercept is -2

A

y - 3 = 5x - 5  Add 3 to both sides

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

y = 5x -2

12 sodas for 3.24 find the unit rate

Answers

Answer:

Step-by-step explanation:

0.27 is the answer

Find the zeros of the polynomial: x 3+2x 2−x−2A1,−1,−2B1,3,7C1,−2,4DNone of these

Answers

The zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.

The given polynomial is x3 + 2x2 - x - 2. To find the zeros of this polynomial, we need to solve the equation x3 + 2x2 - x - 2 = 0.

Rewrite the equation as x3 + 2x2 - x - 2 = 0.

Factor the equation.

Set each factor equal to zero and solve for x.

(x + 2)(x2 - x - 1) = 0

x + 2 = 0

x = -2

(x2 - x - 1) = 0

x2 - x - 1 = 0

x2 - 1x - 1 = 0

Apply the quadratic formula to solve for x.

x = [-b ± √(b2 - 4ac)] / 2a

x = [(-1) ± √(1 - 4*1*(-1))] / 2*1

x = [(-1) ± √(5)] / 2

x = [-1 ± √5] / 2

x = [(-1 + √5) / 2] and [(−1 - √5) / 2]

Simplify the solutions and find the zeros of the polynomial.

x = (-1 + √5) / 2  and x = (-1 - √5) / 2

Therefore, the zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.

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Does 8cm 15cm and 17cm form a right triangle?

Answers

Answer:

No, the sides of a right triangle must obey the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 8^2 + 15^2 = 64 + 225 = 289, which is not equal to 17^2 = 289. Therefore, 8cm, 15cm, and 17cm do not form a right triangle.

Step-by-step explanation:

the diameter of a wheel is 3 feet. what is the distance around the wheel

Answers

Answer: 9.42 Feet or 9 Feet 5.04 Inches

Step-by-step explanation: To solve for the circumference, the equation you must use is C = 2πr (Circumference = 2pi(3.14)radius(half of the diameter)).

What is the new substitution rule?

Answers

The new substitution rule states teams will be able to make five substitutes instead of the traditional three during each match.

Teams have decided to allow more substitutions after voting in favor of the change. Teams will now be permitted to use five substitutions instead of the customary three throughout each game starting in the 2022/2023 season.

The primary motivation for this choice is to lessen the negative impacts of increased match intensity and fixture congestion, which are thought to have a direct influence on player health and well-being. Over time, it will become clear how an increase in substitutes would affect player health and happiness.

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Gabriel earns $11.25 per hour at his job. He also receives a bonus of $20 each week if he arrives on time for each of his shifts. Assuming Gabriel is always on time, and x is the number of hours he works, which rule for f(x) models his weekly paycheck?

Answers

his pay check equation will be f(x) = 11.25x + 20

Is this correct? 4.8%=4.888%=488.8

Answers

The value of the expression of the percentage as the friend details is; 0.04888....... and as such the friend is not correct

How to find the percentage?

Percentages are usually calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

Now, we are given the number 4.8% with 8 having a bar over it.

A bar over a number is called  vinculum  and it means that the number is being repeated indefinitely after a decimal point.

This tells us that our given number can now be expressed as;

4.888.....%

This is because from the definition of  vinculum , 8 is repeated indefinitely. Thus, this can be simplified as;

4.888...../100 = 0.04888.......

Thus, the friend is not correct in conclusion.

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Are there 360 or 361 longitudes?

Answers

There are 360 longitudes. Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian.

There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west.

Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian. This Prime Meridian is the reference point which divides the planet into two equal halves. There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west. The longitudes are also referred to as meridians and they are used to measure the exact location of any place on the earth's surface. This helps in navigation and also in mapping the world. Each meridian is assigned a numerical value, ranging from 0 degrees at the Prime Meridian to 180 degrees at the International Date Line. The longitudes are also used to calculate time zones, with 15 degrees representing one hour of time difference. Therefore, the total number of longitudes will always remain 360, no matter the size of the earth.

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Farmer Dubble started with 87 elentires on
his farm. Every month, he exploded 5 more
of them. Farmer Gespil started with 13
elentires on her farm. Every month, she got
8 more of them.
Write a system of equations, in
slope-intercept form, to model each
farmer's elentires (y) as months (x)
increase.

Answers

The equations in the slope intercept form are,

                     y = -5x + 87

                    y = 8x + 13

What is slope intercept form?

The equation of the line can be written in different ways. One of the methods of writing equations of a line is slope intercept form.

The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. This form of linear equation is known as slope intercept form. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. A line's y-intercept, c, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

For farmer Dubble,

      Number of elentires in beginning c = 87

      Number of elentires destroyed every month m = -5

     Linear equation in slope intercept form

              y = -5x + 87

For farmer Gespil,

      Number of elentires in beginning c = 13

      Number of elentires bought every month m = 8

     Linear equation in slope intercept form

           y = 8x + 13

Therefore the system of equations in slope intercept form  are,

    y = -5x + 87

    y = 8x + 13

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Your friend Tammy just got a part-time job so she can afford to attend a school trip abroad later this school year. Tammy gets a paycheck on the 1st of every month, and a cash payment is due to the International Club advisor by the 3rd of every month with no exceptions. More than one late payment results in being removed from the trip. What recommendation do you have for Tammy?

Answers

I recommend that Tammy create a budget to keep track of her income and expenses. She should also set up automatic payments for her International Club advisor so she doesn't miss any payments. Additionally, Tammy should create a savings plan for the trip to make sure she has enough money for it. Finally, she should start the habit of setting aside money from each paycheck for the trip, so she has a consistent source of funds when she needs them.

Help with question A.

Answers

To do simple subtraction, use the - (minus sign) arithmetic operator.

How to get a proper Conclusion?

6N + 10

---------- - 5  =

  2

3N + 5 - 5

3N

so yes, you will always get triple the original number. or 3N.

A final step should be to divide the last difference by 3, which gets you

the original number back.

Two positive integers added together are always positive.
When two negative integers are added together, the result is always negative.
The result of subtracting two positive integers might be either positive or negative.
The result of subtracting two negative integers might be either positive or negative.

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Find the range for the measure of the third side of a triangle when the measures of the other two sides are 13 in. And 27 in.

Answers

Answer: The measure of the third side of a triangle, when the measures of the other two sides are 13 in and 27 in, must be greater than the difference between the measures of the other two sides (which is 27 in - 13 in = 14 in) and less than the sum of the measures of the other two sides (which is 27 in + 13 in = 40 in).

This is because according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So the measure of the third side must be between the difference of the two given sides and the sum of the two given sides.

Therefore the range of the measure of the third side of a triangle with side lengths 13 in and 27 in is:

(14 in < x < 40 in)

or

[x > 14 in and x < 40 in].

It is also important to note that any value of x within this range will produce a valid triangle, however any value less than 14 in or greater than 40 in will not.

Step-by-step explanation:

A 10 1/2 -inch candle burns down in 6 hours. At what rate does the candle burn, in inches per hour?

Answers

Answer:

1 [tex]\frac{3}{4}[/tex] inches per hour

Step-by-step explanation:

10 [tex]\frac{1}{6}[/tex] ÷ 6

10.5 ÷ 6 = 1.75

1.75 is the same as 1 [tex]\frac{3}{4}[/tex]

Jim began a 167​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per​ hour, find the amount of time he spent on the bicycle.

Answers

The amount of time he spent on the bicycle is 5.5 hours.

How to find the amount of time he spent on the bicycle?

Jim began a 167​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking.

The whole trip took 6 hours. Jim walks at a rate of 4 miles per hour and rides at 30 miles per​ hour.

The amount of time he spent on the bicycle can be calculated as follows;

speed = distance / time

distance = speed × time

Therefore, total distance is as follows:

let

x = time spent walking

167 = 4x + 30(6 - x)

167 = 4x + 180 - 30x

167 = -26x + 180

167 - 180 = -26x

x = -13 / -26

x = 1 / 2

Time spent on bicycle = 6 - 0.5 = 5.5 hours.

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Discuss the position of the Anti-Federalists related to ratification of the Constitution. Use facts.

Answers

The anti-federalist assumed that using the constitution will increase the oppression of the people by those in power but regardless, the constitution was ratified

What is Anti-Federalist

The Anti-Federalists were a group of individuals who opposed the ratification of the Constitution. They believed that the Constitution granted too much power to the central government and did not adequately protect the rights of individual states and citizens. They argued that the Constitution should include a bill of rights to safeguard individual liberties and that the government should be more closely modeled after the Articles of Confederation. Additionally, some Anti-Federalists believed that the Constitution would lead to the rise of an aristocracy and the oppression of the common people. Despite their opposition, the Constitution was ultimately ratified in 1788 with the support of Federalists.

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What is the value of x? round to the nearest tenth, if necessary. responses x = 4 x, = 4 x = 5 x, = 5 x = 6.2 x, = 6.2 x = 9.4

Answers

By Using Pythagorean Theorem, the value of x is 6.2 units.

Pythagorean Theorem:

In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c and is often called the Pythagorean equation.

                              a² +b² =c²

Now,

By using the Pythagorean theorem:

Hypotenuse² =  Perpendicular² + Base²

Now,

In the Δ ABD

As given

DB² = DA² + AB²

As given

DB = 13 units

AB = 9 units

Putting values in the above

13² = 9²+ DA²

169 - 81 = DA²

88 = DA²

Now,

In ΔABC

AB² = AC² + CB²

(As given AB = 9 units , CB = x)

9² = AC² + x²

AC ² = 81 - x²

Now in ΔADC.

AD² = AC² + DC ²

As

AC ² = 81 - x²

DC = 13 - x

AD = [tex]\sqrt{88}[/tex]

(√88)² = 81 -x² +( 13 - x²)

By using the formula (a + b)² = a² + b² + 2ab

    88 = 81 - x² + 13²- 2 × 13 × x + ²

⇒ 88 = 81 - x² + 13² - 26x + x²

⇒ 88-81 - 169 = -26x

⇒ 88-250 =-26x

⇒ -162 = - 26x

x = 6.2 (Approx.)

Therefore the value of x is 6.2 units.

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does anyone know this question ?? please help

Answers

Answer:

Step-by-step explanation:

the 3rd

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