Tommy i buying ued book the price of the book are 180. He ue the 30% off tudent dicount and there i a 4 % ale tax. What i the total price

Answers

Answer 1

Using percentages we know that the total price of the book that Tommy will pay is $131.04.

What is the percentage?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.

Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.

A% is a number that has neither dimensions nor a defined unit of measurement.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

So, we know that the price of the book is 180.

Sales tax is 4%. So, the total price:

180/100 * 4 = 7.2$ ⇒ $187.2

Now, there is a 30% discount:

187.2/100 * 30 = $56.16

⇒ 187.2 - 56.16 = $131.04

Therefore, using percentages we know that the total price of the book that Tommy will pay is $131.04.

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Related Questions

Which equation is satisfied by all three of the plotted points? ​

Which equation is satisfied by all three of the plotted points?

Answers

The answer is A.
Hope this helps:)

Find the value of x. Please help I will mark brainliest!!!!

Find the value of x. Please help I will mark brainliest!!!!

Answers

Answer:

x = 2

Step-by-step explanation:

The triangle is reflected across the circle meaning it should be the same on both sides.

Evaluate 2p - 99 for p = 7 and g = 6.
The value of the expression is

Answers

Answer:

\((2 \times 7) - (9 \times 6) = - 40\)

Highly participative arrangements composed of people across organizational levels who apply the action research model are part of the learning structures approach.

Answers

Yes, you are correct. Highly participative arrangements composed of people across organizational levels who apply the action research model are indeed a part of the learning structures approach.

The learning structures approach is a framework that focuses on fostering learning and development within organizations through collaborative and participative methods.

In this approach, individuals from various levels of the organization come together in a participatory manner to engage in action research. Action research is a problem-solving process that involves identifying an issue or challenge, developing and implementing interventions to address it, and then reflecting on the outcomes to inform further actions. It is a cyclical process that encourages continuous learning and improvement.

By involving people from different organizational levels, the learning structures approach promotes a diversity of perspectives, experiences, and knowledge. This participative arrangement helps in generating a broader understanding of the challenges and facilitates the co-creation of solutions. It also encourages collaboration, cooperation, and collective ownership of the learning and change process.

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please help this is due today​

please help this is due today

Answers

1. x=8 y=8 square root 2 (8^/2)
2. x=10 square root 2 (10^/2) y=10
3. x=3 y=3
4. x=9 square root 2 (9^/2) y= 9 square root 2 (9^/2)

Answer:

Hello, I solved it out for you and I did an example.

Step-by-step explanation:

please help this is due today
please help this is due today

The inverse demand for a homogenous-product Cournot duopoly is P=48−Q, where Q=q 1 ​ +q − ​ 2. The marginal cost for each firm is MC 1 ​ =1 and MC 2 ​ =2 and the total cost for each firm is TC 1 ​ =q 1 ​ and TC 2 ​ =2q 2 ​ A. Determine the equilibrium level of production for each firm (q 1 ​ ,q 2 ​ ). B. Determine the equilibrium market price. C. Determine the profits of the two firms.

Answers

The equilibrium level of production is q₁ = 9 and q₂ = 9, the equilibrium market price is P = 30, and the profits of Firm 1 and Firm 2 are 243 and 216, respectively.

To determine the equilibrium level of production, equilibrium market price, and profits for the two firms in a Cournot duopoly, we need to solve the following steps:

A. Determine the equilibrium level of production for each firm (q₁, q₂):

  1. Set up the inverse demand function and the total cost functions for each firm.

     - Inverse demand: P = 48 - Q

     - Firm 1's total cost: TC₁ = q₁

     - Firm 2's total cost: TC₂ = 2q₂

  2. Calculate the reaction functions for each firm.

     - Firm 1's reaction function: q₁ = (P - MC₁) / 2

     - Firm 2's reaction function: q₂ = (P - MC₂) / 2

  3. Substitute the reaction functions into the inverse demand function to find the equilibrium level of production.

     - Substitute q₁ and q₂ in the inverse demand function: P = 48 - q₁ - q₂

  4. Solve the equations simultaneously to find the equilibrium level of production for each firm.

B. Determine the equilibrium market price:

  - Substitute the equilibrium production levels (q₁, q₂) into the inverse demand function: P = 48 - q₁ - q₂

C. Determine the profits of the two firms:

  - Firm 1's profit: Profit₁ = (P - MC₁) * q₁ - TC₁

  - Firm 2's profit: Profit₂ = (P - MC₂) * q₂ - TC₂

Now let's calculate the equilibrium values using the given data:

A. Equilibrium level of production:

  - Firm 1's reaction function: q₁ = (48 - q₁ - q₂ - MC₁) / 2

  - Firm 2's reaction function: q₂ = (48 - q₁ - q₂ - MC₂) / 2

  Solving the simultaneous equations, we find:

  q₁ = 9

  q₂ = 9

B. Equilibrium market price:

  - Substitute the equilibrium production levels into the inverse demand function:

  P = 48 - q₁ - q₂

  P = 48 - 9 - 9

  P = 30

C. Profits of the two firms:

  - Firm 1's profit: Profit₁ = (P - MC₁) * q₁ - TC₁

  Profit₁ = (30 - 1) * 9 - 9

  Profit₁ = 243

  - Firm 2's profit: Profit₂ = (P - MC₂) * q₂ - TC₂

  Profit₂ = (30 - 2) * 9 - 2 * 9

  Profit₂ = 216

Therefore, the equilibrium level of production is q₁ = 9 and q₂ = 9, the equilibrium market price is P = 30, and the profits of Firm 1 and Firm 2 are 243 and 216, respectively.

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2x+4-2-3x, A)Qual o segundo
membro desta equação?​

Answers

I’m not sure if that’s what u were looking for but here u go
2x+4-2-3x, A)Qual o segundo membro desta equao?

Which angles are vertical angles and, therefore, congruent? 3 lines intersect to form 8 angles. From top left, clockwise, the angles are A, B, C, D, H, G, F, E. Angle A and Angle D Angle A and Angle G Angle A and Angle E Angle A and Angle F

Answers

Answer:

A and F

Step-by-step explanation:

Given

Intersecting lines

Required

The vertical and congruent angles

The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G

Comparing angles A, B, E and F; we have:

\(\angle A = \angle F\) --- Vertical opposite angles

\(\angle B = \angle E\) --- Vertical opposite angles

From the given options,

\(\angle A = \angle F\) is true

Which angles are vertical angles and, therefore, congruent? 3 lines intersect to form 8 angles. From

Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. In a certain city, employees work an average of 18.9 hours of overtime every month, with a standard deviation of 7.8 hours. What is the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours? Provide a solution showing your calculations and submit your work for marking. Include a sketch as part of your complete solution. P(X > 20)=

Answers

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Jackie is taking a week-long football class. The first day, she gains 6 yards on her only possession of the football. On the second day, she quarterbacks for 3 plays and gains 6 yards on each play. What is the total number of yards Jackie gained?

Answers

Answer:

24

Step-by-step explanation:

6 x 3 = 18 + 6= 24

a company makes wax candles shaped like rectangular prisms. each candle is long, wide, and tall. if the company used of wax, how many candles did they make?

Answers

The company made 42 candles from 5040 cm³ of wax.

What is a rectangular prism?

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.

Given the dimensions of the candle, which is in the shape of rectangular prisms

let l be the length, b be width and h be the height,

length = 5 cm

width = 2 cm

height = 12 cm

total wax needed for 1 candle is calculated by the volume of candle,

V = l x b x h

V = 5 x 2 x 12

V = 120 cm³

number of candles made by 5040 cm³ wax

number of candles = 5040/120

number of candles = 42

Hence, 42 candles are made.

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The complete question is,

A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 2cm wide, and 12cm tall. If the company used 5040cm3 of wax, how many candles did they make?

Consider the following reaction: 2HI(g) → H2(g) + I2(g)
(i) Calculate the rate of consumption of HI when I2 is being formed at a rate of 1.8 x 10–6 moles per litre per second.

Answers

The rate of consumption of HI when I2 is being formed at a rate of 1.8 x 10–6 moles per liter per second is 3.6 × 10⁻⁶ mol L⁻¹s⁻¹. The  reaction provided is:  2HI(g) → H2(g) + I2(g)

In order to calculate the rate of consumption of HI when I2 is being formed.

At a rate of 1.8 × 10–6 moles per liter per second, we can use the mole ratio given in the balanced chemical equation and the rate of formation of I2.

Rate of formation of I2 = 1.8 × 10⁻⁶ mol L⁻¹s⁻¹We can see from the balanced chemical equation that 2 moles of HI produce 1 mole of I2. Therefore,1 mole of HI consumed produces 1/2 mole of I2 produced.

If we denote the rate of consumption of HI by the variable "x", then the rate of formation of I2 is (1/2)x. We can set up an equation using this information:

x/2 = 1.8 × 10⁻⁶ mol L⁻¹s⁻¹

Solving for x, we get:

x = (1.8 × 10⁻⁶ mol L⁻¹s⁻¹) × 2

x = 3.6 × 10⁻⁶ mol L⁻¹s⁻¹.

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Is 2X squared +8x-8 a polynomial

Answers

The expression 2x² + 8x - 8 represents a polynomial.

When does an expression represent a polynomial?

An expression represents a polynomial when these following conditions are satisfied:

Integer exponents.Non-negative exponents.

The exponents for this problem are given as follows:

2, 1 and 0.

(as the constant term has an exponent of zero).

Which are both integer and non-negative, hence the expression 2x² + 8x - 8 in fact represents a polynomial.

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At Sports Shoe Warehouse, the cost of 6 pairs of volleyball shoes is $600 plus $83 for
each additional pair. From Winning Team Shoes, the cost of 6 pairs of volleyball shoes is
$480 plus an additional 11% for each additional pair. For how many total pairs of
volleyball shoes does each vendor cost about the same?

about 17 pairs

about 25 pairs

about 18 pairs

about 16 pairs

Answers

Answer:

Sorry if I'm wrong but I believe it is 16 pairs of volleyball shoes.

78 is 65% of what number?

Answers

Answer:

120

Step-by-step explanation:

Answer: 120

Step-by-step explanation: hope this helps

What is the angle between the vectors − 2i 3j k and i 2j − 4k?

Answers

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

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What is the area of the base?

What is the area of the base?

Answers

30 i think that should be it
Hope that helped
31 i think i don’t know if that’s right




The 4-It wall shown here slands 28 ft from the building. Find the length of the shortest straight bearn that will reach to the side of the building from the ground outside the wall. Bcom 2 Building 1'

Answers

The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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please help me with this 4 question​

please help me with this 4 question

Answers

Answer:

i) c. 1,08,00,000 cm³

ii) c. 1687.5 cm³

iii) b. 6400

Q.3) Suface area of cube is 294 cm².

Step-by-step explanation:

Q.2. 12 men are building a wall which is 8 m long, 6 m high and 22.5 cm thick using bricks. On this basis answer the following.

i. Find the volume of the cuboidal wall.

Length (l) = 800 mBreadth (b) = 6600 mHeight (h) = 22.5 cm

Substituting all the given values in the formula to find volume of cuboidal wall :

\( \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 800 \times 600 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{V = 480000 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{V = 1,08,00,000 \: {cm}^{3}}}}}}} \end{gathered}\)

Hence, the volume of cuboidal wall is 1,08,00,000 cm³.

———————————————————————

ii. If the dimension of each brick is 25 cm × 11.25 cm × 6 cm, then find the volume of the brick.

Length (l) = 25 cmBreadth (b) = 11.25 mHeight (h) = 6 cm

Substituting all the given values in the formula to find the volume of cuboidal brick :

\( \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 25 \times 11.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{V = 281.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\pink{V = 1687.5 \: {cm}^{3}}}}}}} \end{gathered}\)

Hence, the volume of cuboidal brick is 1687.5 cm³.

————————————————————

iii. How many bricks will be required to construct the cuboidal wall.

Volume of wall = 10800000 cm³Volume of brick = 1687.5 cm³

Substituting all the given values in the formula to find the number of bricks :

\( \begin{gathered} \quad{\longrightarrow{\sf{No. \: of \: bricks = \dfrac{Volume \:of \: wall}{Volume \: of \: brick}}}}\\ \\ \quad{\longrightarrow\sf{No.\: of \: bricks = \dfrac{10800000}{1687.5}}} \\ \\ \quad{\longrightarrow{\sf{No. \: of \: bricks = \cancel{\dfrac{10800000}{1687.5}}}}} \\ \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{No. \: of \: bricks = 6400}}}}}}\end{gathered}\)

Hence, 6400 bricks will be required to construct the cuboidal wall.

———————————————————————

Q.3 The volume of a cube is 343 cm³. Fibd its surface area.

Surface area = 294 cm²

For clear understanding please check the given attachment.

\(\rule{300}{2.5}\)

please help me with this 4 question

Where the two lines communicate the same truth but use different words to parallel that truth, is what kind of parallelism?.

Answers

The kind of parallelism where two lines communicate the same truth but use different words is called semantic parallelism.

Semantic parallelism is a rhetorical device used to emphasize and reinforce a particular idea or concept. It involves using different expressions, but with similar meanings, to convey the same message. Semantic parallelism is used to create repetition and enhance the overall impact of the statement.

In summary, semantic parallelism is a powerful literary technique that adds depth and resonance to written or spoken communication.

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You deposit $2,500 in an investment


account. The rate of growth is 4.55% a year.


If you make no further deposits or


withdrawals, and the investment is allowed


to grow uninhibited, how long will it take for


your investment to reach $5,000? Round to


the nearest tenth.

Answers

Answer:

22 years

Step-by-step explanation:

the rate of the increase is $113.75 a year.

4.55% of 2500 = 113.75113.75 x 21.98 = 2500.2252500.225 + 2500 = 5000

So it would take if rounded 22 years to reach the goal of $5000.

Answer: The correct answer is "15.2 years"

Step-by-step explanation:

I took the test

PLEASE HELP WITH 37 IM MARKING BRAINLIEST TO THE CORRECT ANSWER

PLEASE HELP WITH 37 IM MARKING BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

-5.9x - 3.7y = -2.1

5.9x + 3.7y = 2.1

If we add these two equations together, -5.9x cancels out 5.9x, -3.7y cancels out 3.7y, and -2.1 cancels out 2.1.

This leaves us with:

0 = 0

Since this is true, that means there are infinite solutions.

FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED

Answers

Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

A certain even integer is 32 less than twice the next even integer. Find the integer.

I know the answer is 28 but I do not know how to get to that answer. I could use help ASAP.

Answers

Answer:well you should have paid more attention in class

Step-by-step explanation:

10 po
8. A square with a perimeter of 20 is dilated
with a scale factor of 0.4. How would the
area of the new square be affected?
a) It would be 20 times bigger.
b) It would be 0.4 times smaller.
c) It would be 0.16 times smaller.
d) It would be 400 times bigger.
O a)

Answers

Answer:

the answer is c 0.16

Step-by-step explanation

I just took the test

Which inequality is a true statement?
Select each correct answer.


−3<−1

−3≤−1

−3>−1

−3≥−1

−3=−1

(please answer correctly)

Answers

Answer:

−3 < −1

−3 ≤ −1

Step-by-step explanation:

Symbol explanation

<  means "less than".>  means "more than".≤  means "less than or equal to".≥  means "more than or equal to".=  means "equal to".

A negative number is any number that is less than zero.

On the number line the negative numbers are to the left of the zero.

-3 is less than -1 because -3 lies to the left of -1 on the number line.

Therefore, the only given inequalities that are true statements are:

-3 < -1 as -3 is less than -1.-3 ≤ −1  as -3 is less than or equal to -1.
Which inequality is a true statement?Select each correct answer.3&lt;1313&gt;1313=1(please answer correctly)

Which rule explains why these scalene triangles are similar?

A. SSS
B. SAS
C. AA
D. None of the above; the triangles cannot be proven similar

Which rule explains why these scalene triangles are similar?A. SSSB. SASC. AAD. None of the above; the

Answers

Answer:

D.  none of the above

Step-by-step explanation:

no side lengths given

no angles are the same in both triangles

A) SSS BECUAE explosion why there scalene triangle are similar

Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?

Answers

Sarah's charges per hour for working during the week will be $9.5.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Solve for p.
9p3p-5 19
P = ?

Answers

The value of p is p = 3.17.

What is a linear equation in one variable?

The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

The given equation is 9p-3p-5=19.

To solve for p, we need to isolate the p term on one side of the equation. Currently, p is part of the term 9p-3p, which can be simplified to 6p.

We can then rewrite the equation as:

6p = 19

To solve for p, we need to divide both sides by 6:

p = 19/6

= 3.17

Therefore, the value of p is p = 3.17.

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Here is a rectangle with length 5 units and width 2 units.

1. What is the area of the rectangle?

2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.

3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.

Here is a rectangle with length 5 units and width 2 units.1. What is the area of the rectangle?2. Dilate

Answers

The area of the rectangle is 10 square units.If the rectangle is dilated from point A by a scale factor of 2, the area of the image is 40 square units.If the rectangle is dilated from point A by a scale factor of 3, the area of the image is 90 square units.What is scale factor?

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

The area of the rectangle =L * W

A = (5 x 2)

A = 10 square units.

If the rectangle is dilated from point A by a scale factor of 2, the area of the image:

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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