Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each set of prices with the correct percent of increase or decrease.
11% decrease
11% increase
8.7% decrease
7.4% increase
8% decrease
12.4% decrease
9.9% increase
8% increase
original price: $63.00
new price: $56.07
arrowRight
original price: $98.00
new price: $108.78
arrowRight
original price: $37.50
new price: $34.50
arrowRight
original price: $12.25
new price: $13.23
arrowRight

Answers

Answer 1

Each set of prices should be matched with the correct percentage of increase or decrease as follows:

12.4% decrease = original price: $63.00 and new price: $56.07.11% increase = original price: $98.00 and new price: $108.78.8.7% decrease = original price: $37.50 and new price: $34.50.8% increase = original price: $12.25 and new price: $13.23.

How to calculate percentage change?

Mathematically, percentage increase can be calculated by using this formula:

Percentage increase = [original price - new price]/new price × 100

At original price: $63.00 and new price: $56.07, we have:

Percentage decrease = [63.00 - 56.07]/56.07 × 100

Percentage decrease = 6.93/56.07 × 100

Percentage decrease = 0.124 × 100

Percentage decrease = 12.4%.

At original price: $98.00 and new price: $108.78, we have:

Percentage increase = [108.78 - 98.00]/98.00 × 100

Percentage increase = 10.78/98.00 × 100

Percentage increase = 0.11 × 100

Percentage increase = 11%.

At original price: $37.50 and new price: $34.50, we have:

Percentage decrease = [37.50 - 34.50]/34.50 × 100

Percentage decrease = 3/34.50 × 100

Percentage decrease = 0.087 × 100

Percentage decrease = 8.7%.

At original price: $12.25 and new price: $13.23, we have:

Percentage increase = [13.23 - 12.25]/12.25 × 100

Percentage increase = 0.98/12.25 × 100

Percentage increase = 0.08 × 100

Percentage increase = 8%.

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Related Questions

5–3 3/5 ÷ (–3– –3 3/4)

Answers

Answer:

[tex]0.2[/tex]

Step-by-step explanation:

... .. ... .. .

QUESTION 1: In the clip, Danny Nguyen is all-in with A 7 against an opponent with A K+. The flop is
5 K 5. After this, the next two cards must both be sevens for Nguyen to win. Compute the probability
of this happening. NOTE: There are three sevens left in the deck and it is no longer a 52 card deck
because the cards shown are removed. Show all calculations in determining your answer

Answers

The probability is 0.00332.

From the given question,

Danny Nguyen has A 7 and opponent has A K+.

The flop is : 5 K 5

As there are two players playing the remaining cards in the deck will be (52 - 2 - 2 - 3 -1(burn)) = 44

For Nguyen to win he needs two of the three 7's left in the deck for turn and river.

For turn we have to select a 7 from the three 7's and for river we have to select a 7 of the remaining two 7's.

So the probability is

P = [tex]\frac{\binom{3}{1}}{\binom{43}{1}}*\frac{\binom{2}{1}}{\binom{41}{1}}[/tex]

P = 0.00332

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Which transformation always preserves distance and angle measures?

Answers

Step-by-step explanation:

Rigid motion

Rigid motion – A transformation that preserves distance and angle measure (the shapes are congruent, angles are congruent).

A coach can take 40 passengers.how many passenger can be carried by 18 coaches​

Answers

Answer: 720 passengers can be carried by 18 coaches

C:P
1:40
18:x

Question 7 of 10
Here is a table of values for y = f(x).
X
-2 -1 0 1 2 3
f(x) 5 6
7
Mark the statements that are true.
4
8 9 10 11
5 6
12 13
A. The range for f(x) is all real numbers.
B. f(5) = -2
C. The domain for f(x) is the set (-2,-1, 0, 1, 2, 3, 4, 5, 6).
D. f(-1) = 6

Answers

Option (C) is the correct one and the only true statement is

The domain of the function f(x) is { -2, -1, 0, 1, 2, 3, 4, 5, 6 }.

Given, a table of values for y = f(x)

x     -2   -1   0   1   2   3   4   5   6

y      7   8   9   10  11  5   6  12  13

We have to find the correct statements,

as the range of the function f(x) is { 4, 8, 9, 10, 11, 5, 6, 12, 13 }

the image of 5 in the function is 6 i.e. f(5) = 6.

The domain of the function f(x) is { -2, -1, 0, 1, 2, 3, 4, 5, 6 }

the image of -1 in the function is 8 i.e. f(-1) = 8.

Hence, only the option (C) is the correct one and the only true statement is

The domain of the function f(x) is { -2, -1, 0, 1, 2, 3, 4, 5, 6 }.

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What is the value of the expression m - when m = 3?
1/15
13/15
23/15

Answers

The value of the expression when m = 3 is 13/15. So option(2) is correct.

The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.

Given the expression as shown below:

2/5 m - 1/3

If m is equal to 3, then the expression will be;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Therefore the value of the expression if m = 3 is 13/15

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help me please I am in need of this answer too

Answers

When corresponding angles are congruent, the lines are parallel

Congruent Angles

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles. The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Examples of the corresponding angle are any angles which are formed on the opposite side of the transversal. Now, it should be noted that the transversal can intersect either two parallel line or two non-parallel lines. Thus, corresponding angles can be of two types:

Corresponding angles formed by parallel lines and transversals

Corresponding angles formed by non-parallel lines and transversals

Looking at the image, angle I is congruent to each other. Angle II is congruent with each other as well as angle III.

When corresponding angles are congruent, the lines connecting them must be parallel. This is the only valid or correct options in the task.

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. √-100 rewrite each expression using I

Answers

Answer:

?????

Step-by-step explanation:

A car travels 210 kilometres in 3 hours 30 minutes
Calculate the average speed, in km/h, of the car.

Answers

Answer:

70 km/hr

Step-by-step explanation:

What is the image of (3,3)(3,3) after a dilation by a scale factor of 1/3
centered at the origin?

Answers

The image of (3, 3) after dilation  by a scale factor of 1/3 centered at the origin will have coordinate (1, 1)

What is dilation?

Dilation refers to the transformation that increases or reduces the image formed after the transformation

When the scale factor is greater that 1 the transformation will lead to magnification when the scale factor is less than 1 the image formed is compressed.

The transformation rule fir dilation is (x, y) → (kx, ky)

where k is the scale factor = 1/3

(3, 3)  → (1/3 * 3, 1/3 * 3)  → (1, 1)

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

d²-3d

Answers

The trinomial and binomial form of the incomplete algebraic expression is [tex]d^{2}[/tex] -3d + 9/4 and [tex](d-\frac{3}{2}) ^{2}[/tex]

What is a perfect square expression?

A perfect square is a quadratic expression that factors into two identical binomials.

For example, if you multiply these two identical binomials factors:

(x + 2)(x + 2)

to complete the square in the expression [tex]d^{2}[/tex] -3d, we square the half of the coefficient of d which is -3/2

so the expression becomes,

[tex]d^{2}[/tex] -3d + [tex](\frac{-3}{2}) ^{2}[/tex] = [tex]d^{2}[/tex] -3d +[tex]\frac{9}{4}[/tex]

The Binomial form of the expression [tex]d^{2}[/tex] -3d + [tex](\frac{-3}{2}) ^{2}[/tex]

can be written by take [tex]d^{2}[/tex] term and the constant and putting them in a bracket and squaring

which becomes

[tex](d - \frac{3}{2} )^{2}[/tex]

In conclusion, the trinomial form of the expression is [tex]d^{2}[/tex] -3d +[tex]\frac{9}{4}[/tex] while the Binomial form of the expression is [tex](d - \frac{3}{2} )^{2}[/tex]

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0.721x10 to the second power

Answers

Answer:

72.1

Step-by-step explanation:

It is 10 to the power of 2 because the exponent is 2. The result is a number bigger than the origin or base number because the exponent is positive. We move the decimal two times to the right to arrive at our conclusion:

0.721--> 72.1

therefore, your answer will be 72.1

Complete the statement. The drawing is not to scale.

Answers

Answer:

The second option so 54 degrees.

Step-by-step explanation:

The line drawn on angle d in both spots indicates it's congruent so if one side is a number the other side is that same number so in this case, it's 54 degrees.

Write an equation for the quadratic graphed below:
x-intercepts: (-3,0) and (1,0); y-intercept: (0,-3)

Answers

Answer:

y = (x + 3)(x - 1) or y = x² + 2x - 3

Step-by-step explanation:

Quadratic equation:

y = a(x - p)(x - q), where a - constant, p and q - x-intercepts.

Substitute p and q:

y = a(x - (-3))(x - 1)y = a(x + 3)(x - 1)

Find the value of a, using the y-intercept:

- 3 = a(0 + 3)(0 - 1)- 3 = a*3*(-1)-3 = - 3aa = 1

The equation is:

y = (x + 3)(x - 1)

or

y = x² + 2x - 3

Determine the perimeter of the right triangle shown.

Answers

Answer:

27

Step-by-step explanation:

I looked at the graph and added 6+6=12 so the bottom is 12 and for the height i added 1+8=9 and then i added another 12 because the bottom is also 12 and divided that by 2 which is 6 so i got 27.

this may not be right but i am hoping that is it!

Have A Great Day!!!

Turn into vertex form x^2= 9x-20

Answers

The vertex form of the given equation is (x - 9/2)² - 1/4

Vertex form

The general vertex form is written as

y = a (x - h)² + k

Where, a, h, and k are real numbers, where a ≠ 0.

And x and y are variables where (x, y) represents a points.

Given,

Here we have the equation x² = 9x - 20

Now, we have to convert this equation into vertex form.

In order to convert this into vertex form, first we have to rewrite the given equation as follows:

=> x² - 9x + 20 = 0

Here the coefficient of the x is 9, so now we divide this by 2 : 

=> 9 ÷ 2 = 9/2

And then we have to square it (9/2) ² then we get the value 81/4.

So we add and subtract 81/4, then we get,

=>  x² - 9x + 81/4 - 81/4 + 20 = 0

Now, we have to rewrite it as,

=> [x² - 9x + 81/4] + [-81/4 - 20]

When we simplify it then we get,

=> (x - 9/2)² - 1/4

Therefore, the vertex form of the equation is  (x - 9/2)² - 1/4.

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This is what I need help with

Answers

Answer:no picture

Step-by-step explanation:

Bike Cost $800 $600 $400 $200 $0 Bike City Comparing Costs Fast BMX Bike World Bike Store Awesome Bikes How much more is the cost at Fast BMX than Bike World? ​

Answers

Using the mathematical operation of subtraction, the cost at Fast BMX is $200 more than the cost at Bike World.

How is the difference computed?

The difference in the cost of bikes can be computed using the mathematical operation of subtraction.

Subtraction operations involve deducting the subtrahend from the minuend to get the result known as the difference.

Bike Stores              Prices

Bike City                   $300

Fast BMX                 $500

Bike World               $300

Awesome Bikes      $400

Difference between Fast BMX and Bike World

= $200 ($500 - $300)

Thus, the cost of bikes is higher at Fast BMX than at Bike World by $200.

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please help me solve this question

Answers

The function on the graph can't be a sin, then the correct option is:

y = A*cos(k*x) + C

Which equation matches the graph?

We know that the graph is either of the equation:

y = B*sin(k*x) - C

Or

y = A*cos(k*x) + C

Now, notice that there is a maximum at x = 0

And we also know that:

sin(0) = 0

cos(0) = 1

Then the option with the sin can be discarded, as it does not have a maximum at x = 0.

The correct option is:

y = A*cos(k*x) + C

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Dwayne wants to redecorate his bedroom and decides to purchase new furniture. The following graph could be used to represent the value of the new bedroom furniture, f(x), after x years.

A graph of an exponential function which decreases through the points 0 comma 1200 and 2 comma 675.

Which of the following statements is/are true based on the graph and the context of the problem?


The y-intercept (0, 1200) represents the initial cost of the bedroom furniture.
The function is negative on its entire domain.
The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.

Answers

The y-intercept (0, 1200) represents the initial cost of the bedroom furniture option (A) is correct.

What is an exponential function?

It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

The exponential function is of the form:

y = ab×

Plug x = 0 and y = 1200

1200 = a

Plug x = 2, y = 675, and a = 1200

675 = 1200(b)²

b = 0.75

y = 1200(0.75)×

y = 1200

Thus, the y-intercept (0, 1200) represents the initial cost of the bedroom furniture option (A) is correct.

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400 passengers go on a coach trip.
Each coach takes 50 passengers.
Each passenger pays £23
The table shows the costs for the
coach company.
Each coach travels 200 miles.
Work out the total profit the company makes from this trip.

Answers

The total profit that the company would make on the trip can be found to be £7,320

How to find the total profit made?

The revenue that the company makes would be:

= Number of passengers x Amount that each passenger pays

= 400 x 23

= £9, 200

Each coach takes 50 passengers so the number of coaches needed are:

= 400 passengers / 50 passengers per coach

= 8 coaches

The total cost to the company for the trip is:
= (Number of coaches x Driver cost per coach) + (Number of coaches x Fuel per mile x Distance traveled for each coach)

= ( 8 x 95) + ( 8 x 70p x 200)

= 760 + 112, 000 p

= 760 + 112, 000/ 100 pence per pound

= £ 1,880

The total profit is:

= Revenue - total cost

= 9, 200 - 1, 880

= £7,320

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can you help meeeeeeeeeeeeeeeeeeee pleaseeeeeeee!!!

Answers

Answer:

[tex]f(x) = 2(x-9)^{2} + 3[/tex]

Step-by-step explanation:

In vertex form, (h, k) represents the vertex.

With the given vertex of (9, 3), h = 9 and k = 3. You can substitute those values into the equation.

In vertex form, a represents vertical stretch or compression.

In this case, since the parent function, x^2 is multiplied by 2, a = 2. You can substitute this into the equation.

You end up with [tex]f(x) = 2(x-9)^{2} + 3[/tex]

) 3 1+ − 2 2− + 2 1−

Answers

A positive 31 minus 22 is 9 now subtracting it from 21 is -12

Solve the equation without using a calculator

[tex]\displaystyle\\3^\frac{x+2}{3x-4}-2\cdot3^\frac{5x-10}{3x-4}=7[/tex]

Answers

Answer:

x = 2

=========================

Rewrite

(5x - 10)/(3x - 4) = (6x - 8 - x - 2)/(3x - 4) = 2 - (x + 2)/(3x - 4)

Substitute

[tex]3^{(x + 2)/(3x - 4)} = t[/tex]

New equation

t - 2·9/t = 7t - 18/t = 7t² - 7t - 18 = 0t² - 9t + 2t - 18 = 0t(t - 9) + 2(t - 9) = 0(t - 9)(t + 2) = 0t - 9 = 0 and t + 2 = 0t = 9 and t = - 2 (excluded as the power of 3 can't be negative)

Substitute back

[tex]3^{(x + 2)/(3x - 4)} = 9[/tex][tex]3^{(x + 2)/(3x - 4)} = 3^2[/tex][tex](x + 2)/(3x - 4) = 2[/tex][tex]x + 2 = 6x - 8[/tex][tex]6x - x = 2 + 8[/tex][tex]5x = 10[/tex][tex]x = 2[/tex]

What are numbers that have 2,3,4,5,6 as their factors? (under 200)

Answers

Answer:

120, 60, 180

Step-by-step explanation:

Make the subject of
X
16
=
р

Answers

Answer: x= p16

Step-by-step explanation:

6. A garbage truck collects trash from
68 trash cans. Another truck collects
trash from 39 fewer trash cans. How
many trash cans do the trucks collect
trash from in all?
trash cans

Answers

The answer should be 97 trash cans…

The siding of a house is 2250 square feet. The siding needs two coats of paint.

1 quart costs 18 dollars and covers 80 square feet;
1 gallon, costs 29 dollars, covers 320 square feet.

A. What is the minimum cost of the paint needed to complete the job?

B. How much paint is left over when you spend the minimum amount?

Answers

Answer: Minimum cost = $264

Paint left over = 7/8 qt

Step-by-step explanation:

6 gal covers 1920 sf (6 gal x 320 sf/gal)

6 gal x $29/gal = $174

2250 sf - 1920 sf = 330 sf

Need 4.125 qt to cover 330 sf, but you can't buy a partial quart

5 qt x $18/qt = $90

Total cost = $174 + $90 = $264

You have 7/8 qt left over

Please help with the following question.

Answers

The probabilities, using the Poisson distribution, are given as follows:

a) Two earthquakes in a year: 0.0446 = 4.46%.

b) No earthquakes in two consecutive months: 0.3679 = 36.79%.

c) No earthquakes in two consecutive months, given that there were no earthquakes in the previous month: 0.3679 = 36.79%.

What is the Poisson distribution?

The Poisson distribution is used when we only have the mean in a given interval and the mass function is given as follows:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are listed as follows:

x is the number of successes.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.

For one year, the mean number of earthquakes is given as follows:

[tex]\mu = 6[/tex]

The probability of exactly two earthquakes in a year is obtained as follows:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 2) = \frac{e^{-6}6^{2}}{(2)!} = 0.0446[/tex]

For two months, the mean is given as follows:

[tex]\mu = 2 \times 6 \times \frac{1}{12} = 1[/tex]

For items b and c, the probabilities are the same, P(X = 0), as the events are independent, hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1}1^{0}}{(0)!} = 0.3679[/tex]

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two buses leave a station at the same time and travel in opposite directions. One bus travels 15 km/h faster than the other. If the two buses are 1004 kilometers apart after 4 hours, what is the rate of each bus?

Answers

The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

What is speed?

Speed is a scalar quantity that refers to "how fast an object is moving".

Given that, two buses leave a station at the same time and travel in opposite directions, one bus travels 15 km/h faster than the other, the two buses are 1004 kilometres apart after 4 hours,

Speed = distance/ time

Let the speed of the slower bus be v and the faster bus be (v+15)

According to the question,

vt + (v+15)t = 1004

vt + vt + 15t = 1004

t = 4

4v + 4v + 60 = 1004

8v = 944

v = 118

Hence, The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

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