What is the value of x?


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The original price of the Sofa is $620

The original price is reduced by 60%

After this reduction the price reduced to $280

Therefore the original price can be calculated as follows

The first step is to subtract 60% from 100%

= 100-60

= 40%

The original price can be calculated as follows

280 × 100/40

= 28,000/40

= 700

Hence the original price of the sofa is $700

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By using the given translation rule, the translation of NFQ is equal to: A. N'(0, -2), F'(4, 2), Q'(4, -2).

In Mathematics, there are different types of transformation and these include the following:

A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.

By using the given translation rule: (x, y) → (x + 1, y - 1), we have:

N(-1, -1) → N'(-1 + 1, -1 - 1) = N'(0, -2).

F(3, 3) → F'(3 + 1, 3 - 1) = F'(4, 2).

Q(3, -1) → Q'(3 + 1, -1 - 1) = Q'(4, -2).

Therefore, the translation of NFQ is equal to N'(0, -2), F'(4, 2), Q'(4, -2).

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The time he start shopping is 2 : 00 PM

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

Time spent = 25 minutes

Time he left the store = 2 : 25PM

Using the above as a guide, we have the following:

Time he started = Time he left the store - Time spent

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

Time he started = 2 : 25PM - 25 minutes

Evaluate

Time he started = 2 : 00 PM

Hence, the time he start shopping is 2 : 00 PM

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Answer:

There were 58 hardback books there.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of paperback books.

y is the number of hardback books.

The number of paperbacks is 12 less than three times the number of hardbacks.

This means that:

\(x = 3y - 12\)

Huong had 162 paperbacks.

This means that \(x = 162\)

How many hardback books were there?

We want to find y.

So, using the value of x, and the first equation, we have that:

\(x = 3y - 12\)

\(3y = x + 12\)

\(3y = 162 + 12\)

\(3y = 174\)

\(y = \frac{174}{3}\)

\(y = 58\)

There were 58 hardback books there.

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

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

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

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

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

Probability of students having their own vehicle

= 2/10

= 1/5

The centripetal acceleration of the wooden block is 0.32 m/s^2.

The centripetal acceleration of an object moving in a circle with radius r and angular velocity ω (in radians per second) is given by the formula:

a = rω^2

In this problem, the wooden block is on the end of a string with a radius of 0.7 meters, and it makes 14 rotations in 20.7 seconds. The angular velocity ω can be calculated by dividing the number of rotations by the time:

ω = (14 rotations) / (20.7 seconds) = 0.676 radians/second

Plugging in the values for r and ω, we get:

a = (0.7 meters) × (0.676 radians/second)^2 = 0.32 m/s^2

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The given question is incomplete, the complete question is:

A group of students observes that a wooden block (m = 0.40 kg) on the end of a string with a radius of 0.7 meters makes 14 rotations in 20.7 seconds when twirled. Part A Calculate the centripetal acceleration of the wooden block?

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

To find the annual rate of interest as a percent on the musician's loan for the trumpet, we can use the simple interest formula:

$$\sf\:I = P \cdot r \cdot t \\$$

Where:

We can rearrange the formula to solve for r :

$$\sf\:r = \frac{I}{P \cdot t} \\$$

Substituting the given values:

$$\sf\:r = \frac{792}{2200 \cdot 3} \\$$

Now, we can calculate the value of r :

$$\sf\:r = \frac{792}{6600} \\$$

Simplifying the fraction:

$$\sf\:r = 0.12 \\$$

To express this as a percentage, we multiply by 100:

$$\sf\:r = 0.12 \times 100 \\$$

Therefore, the annual rate of interest on the musician's loan for the trumpet is 12%.\(\)

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer:

y-12=4y = -4 (please like my answer)

Step-by-step explanation:

6n-12=3(2n-4)

6n-12=6n-12= 0

Option C is correct. Both a and b are valid options, but altering the scale to make the top bar appear four times as long as the bottom bar would be the more accurate representation of Phil's hits quadrupling.

To show that Phil's hits have quadrupled since last year, we need to compare the number of hits he received this year with the number of hits he received last year.

a. Using the same scale and making the top bar twice as thick as the bottom bar does not accurately represent the quadrupling of Phil's hits. It only shows that he received more hits this year than last year.

b. Altering the scale so that the top bar appears four times as long as the bottom bar would accurately represent the quadrupling of Phil's hits. This would show that Phil's hits have increased fourfold from last year to this year.

c. Option C is correct. Both a and b are valid options, but altering the scale to make the top bar appear four times as long as the bottom bar would be the more accurate representation of Phil's hits quadrupling.

d. Option D is incorrect because at least one of the options a or b is correct.

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9514 1404 393

Answer:

  C.  7 : 2

Step-by-step explanation:

We are given that ...

  2a = 7b

  a/b = 7/2 . . . . . multiply by b/2

Written in the form of the answers, this is ...

  a : b = 7 : 2 . . . . . matches C

Answer:

x= 70°

y= 60°

Step-by-step explanation:

y= 180-120= 60°

REASON: angles in a straight line add up to 180°

x= 180-(50+60)= 70°

REASON: angles in a traingle add up to 180°

hope it helps! please mark me brainliest...

Happy new year have a great day ahead!

Answer:

y = 60°

x = 70°

Step-by-step explanation:

→ To work out y, remember the fact that angles on a straight line add up to 180° ∴ 180° - 120° = 60°

→ To work out x, remember the fact that angles in a triangle add up to 180° ∴ 180° - (50° + 60°) = 70°

The correct options are sample more families, sample families having children who are not in seventh grade.

Sample families that do not have children. Sample families living in every third house in neighborhood.

To increase the validity of the results of Kai's survey, he could make the following improvements to his sample:

Sample more families: Increasing the sample size would make the results more representative of the neighborhood as a whole, reducing the impact of random variation and making the estimates more precise.

Sample families that have children who are not in seventh grade: This would make the sample more diverse and representative of families with children of different ages.

Sample families that do not have children: Including families without children would make the sample more diverse and representative of the entire neighborhood.

Sample families living in every third house in the neighborhood: This would help to ensure that the sample is geographically representative of the neighborhood, reducing the chance of

sampling bias.

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the graph of the equation y = 2 x - 2 is being obtained.

We are given the equation:

y = 2 x - 2

We need to make the graph of the equation.

We will first find some points on this equation:

x              y

0             -2

1               0

2              2

3              4

4              6

5              8

Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.

Therefore, the graph of the equation y = 2 x - 2 is being obtained.

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Answer:

3.777777777.... is a rational number

Step-by-step explanation:

3.777777777777777.............

Try this trick: for all (something)/9 is its repeat. Example: 7/9 = 0.77777....

so 3.777777.... is 3 7/9

So technically it is a rational number

Answer:

A. -(3/10)x + 1 = 10

B. x = -30

Step-by-step explanation:

A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10

B. in solving this, first we subtract 1 from both sides, to get

-(3/10)x = 9

then, we divide both sides by -3/10 to get

x = -30

Answer:

50

Step-by-step explanation:

32/0.64 = 50

Answer:

0, 1, 2.

Step-by-step explanation:

'Whole numbers' are the numbers we use for counting items, for example we can have 0 apples, or 2 cars. 0 is a whole number because its a non-negative integer (technically 0 isn't negative or positive), and counting up from there gives us 0, 1, and 2.

Answer:

-15 ÷ 3 = -5

Step-by-step explanation:

If 3 thermometers totaled -15, then they share that value equally.

Answer:

the answer would be 9 + i

Step-by-step explanation:

My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

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Answer:

Step-by-step explanation:

(-2 - 4)/(-1 + 3)= -6/2 = -3

y - 4 = -3(x + 3)

y - 4 = -3x - 9

y = -3x - 5

Option 1

Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

Answer:

A: C = 15N

Step-by-step explanation:

30/2 = 15 (the cost of 1 class)