Original price of a chair $150 Discount : 15% what is the selling price

Answer: D!!

Step-by-step explanation: No explanation so you can move on quickly!!!!:))

Step-by-step explanation:

the scale factor is 1 : 150

you don't know what that means ?

it means that every unit (here cm) in the diagram corresponds in reality to 150 units.

so, 1 cm in the diagram is 150 cm in reality.

therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.

length : 5 × 150 = 750 cm (7.5 m)

breadth : 3 × 150 = 450 cm (4.5 m)

and the perimeter is as for every rectangle :

2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =

= 2400 cm (24 m)

Let's use a rule of three:

This way,

The taxes on the $90 item are $5.40

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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Step-by-step explanation:

-x ÷ 2 < 12

multiply both sides by 2

-x < 24

multiply by -1 , your change the inequality

x > -24

Answer: 2 gallons

Step-by-step explanation:1/3 = 2 gallons which was already used and then 1/2 of the remaining was used which the remaining was 4 cutting it down to 2 therefore 2 gallons of milk are left

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

(x+1)(x-5)

Step-by-step explanation:

First, we need to find out how many cups of walnuts Melanie had.

Melanie had 25% more walnuts than John, so we can find out how many cups of walnuts Melanie had by adding 25% of John's walnuts to John's walnuts.

25% of John's walnuts is:

(25/100) x 4.5 cups = 1.125 cups

So, Melanie had:

4.5 cups + 1.125 cups = 5.625 cups

Melanie used 1.25 cups of her walnuts in a recipe for cookies, so she has:

5.625 cups - 1.25 cups = 4.375 cups of walnuts left.

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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The surface area of the given triangular prism is 164 square feet.

To find the surface area of a solid, we need to calculate the area of each individual face and then sum them up. In the given case, we have a triangular prism with dimensions of 5 ft (height), 8 ft (base length), and 4 ft (base width).

The triangular prism has three rectangular faces and two triangular faces. Let's calculate the area of each face:

The top and bottom faces are rectangles with dimensions of 8 ft by 4 ft. The area of each rectangular face is given by length times width, so the area of one face is \(8 ft \times 4 ft = 32\) square feet. Since there are two rectangular faces (top and bottom), their combined area is \(2 \times 32 = 64\)square feet.

The front and back faces are also rectangles with dimensions of 5 ft by 8 ft. The area of each rectangular face is \(5 ft \times 8 ft = 40\) square feet. Since there are two rectangular faces (front and back), their combined area is \(2 \times 40 = 80\) square feet.

The side face is a triangle with a base of 8 ft and a height of 5 ft. The area of a triangle is given by half the base times the height, so the area of the side face is \((1/2) \times 8 ft \times 5 ft = 20\) square feet.

To find the total surface area, we add up the areas of all the faces: 64 square feet (rectangular faces) + 80 square feet (front and back faces) + 20 square feet (side face) = 164 square feet.

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The number of points at least 23 he will need to score in the next game in order for Mark to average at least 15 points per game.

Mark has scored 8,14,10,20, and 5 points in the past 5 basketball games.

Let the required number of points would be x

n = 6

∑x = 8 + 14 + 10 + 20 + 5 + x = 57 + x

As per the given question, we can write the inequality as:

∑x/n ≥ average per game

(57 + x)/6 ≥ 15

57 + x ≥ 15 × 6

57 + x ≥ 80

x ≥ 80 - 57

x ≥ 23

Thus, the number of points at least 23 he will need to score in the next game in order for Mark to average at least 15 points per game.

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Answer:

19

Step-by-step explanation:

63÷21=3

21 was multiplied by 3 to get 63

CG by 3 should give 57

Answer:

2 hours

Step-by-step explanation:

divide 4 by 2 to get 2. Do this becasue 3 is 6 divided by 2.

Answer:

82

Step-by-step explanation:

Answer:

11 1/8

Step-by-step explanation:

took the test :)

True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

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We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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Answer:

g(x) = \(5(2^{2x} )\)

Step-by-step explanation:

If a function f(x) is vertically stretched by a factor of k, the new function we get in the form of k.f(x).

Rule to be followed,

y = k.f(x)

Where k > 1

If the function is vertically compressed then 0 < k < 1

Following the same rule,

A function, f(x) = \(2^{2x}\) when vertically stretched by a factor of 5,

Transformed function will be,

g(x) = \(5(2^{2x} )\)

\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)

Step-by-step explanation:

I hope this answer is helpful ):

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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The future value of the $1000 annuity payment is $7,715.61.

An annuity is when a series of payment is made over a period of time. The future value of the annuity would be a function of the amount deposited each year, the interest rate earned and the duration of the investment.

Future value = Quarterly deposit x annuity factor

Annuity factor = (1 + r)^n] - 1} / r

Where:

Future value = 1000 x  [{(1 + 0.1^(6} - 1 ] / 0.1 = $7,715.61

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Answer:

a-2 / a - 1

Step-by-step explanation:

Answer: 2 1/2y

Step-by-step explanation:

This is correct because y is not a number it is a variable. This is y get it. That this is correct. Hope this helps ;)

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

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total outcomes=8

move ahead outcome=4

probabilty of move ahead =4/8=1/2

Thus the answer is 1/2.

The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units

For two triangles to be similar, the corresponding sides of the triangles must be in proportion

Having said  that

The side AC corresponds to the side AC in the other triangle

The length BC is calculated as

BC/9 = 25/15

Express as products

So, we have

BC = 9 * 25/15

Evaluate the products

BC = 15

Hence, the length of BC is 15 units

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