In the peak season of winter days, a retailer marked the price of an electric heater as Rs 4000 and 10% discount was given to make 20% profit. But in the summer days she increased the discount percent to get only 12% profit from the same type of heater. How much did she/he increase the discount percent?

Answer:

Step-by-step explanation:

Answer:

slope = \(\frac{1}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 4)

m = \(\frac{4-3}{2+2}\) = \(\frac{1}{4}\)

Answer:

2x + 5 = 13

Step-by-step explanation:

a) 2x + 5 = 13

b)

Dylan goes to the movies and spend 13 dollars in total, the ticket cost 5 dollars and also bough two chocolates, how much was each chocolate?

2x + 5 = 13

2x = 13 - 5

2x = 8

x = 8/2

x = 4

Answer:

.

Step-by-step explanation:

Percentage increment means the part of original value is added to the value. The new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

The length of the living room is 12 feet.

The width of the living room is 8 feet.

The owner increases the 20 percent of length and 20% width.

Suppose new length is feet long. As the owner increases the 20 percent of length. Thus the new length will be sum of original length and the 20 percent of it. Hence,

l=12+12/100*12

l=14.4

Thus the new length of the living room is 14.4 feet long.

Suppose new width is  feet long. As the owner increases the 20 percent of width. Thus the new width will be sum of original width and the 20 percent of it. Hence,

w=8+20/100*8

w=9.6

the new width of the living room is 1.6 feet long.

Hence the new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The volume of the larger cylinder is 27/8 times greater than the volume of the smaller cylinder.

To find the ratio of the volumes of the larger and smaller cylinders, we need to understand the relationship between their heights and radii. Since the heights of the cylinders are in the ratio 2:3, we can assume the height of the smaller cylinder to be 2x and the height of the larger cylinder to be 3x.

Given that the diameter of the smaller cylinder is 8 centimeters, we can calculate the radius by dividing the diameter by 2. Therefore, the radius of the smaller cylinder is 4 centimeters.

To determine the radius of the larger cylinder, we can use the property that the ratio of the volumes of similar shapes is the cube of the ratio of their corresponding lengths. Since the heights of the cylinders are in the ratio 2:3, the ratio of their lengths is also 2:3. Therefore, the radius of the larger cylinder can be calculated as (3/2) * 4 = 6 centimeters.

Now we have the radius and height for both cylinders. The formula to calculate the volume of a cylinder is V = π\(r^2\)h. Substituting the values, we find that the volume of the smaller cylinder is V1 = π(\(4^2\))(2x) = 32πx and the volume of the larger cylinder is V2 = π(\(6^2\))(3x) = 108πx.

To find the ratio of the volumes, we divide V2 by V1: V2/V1 = (108πx)/(32πx) = 108/32 = 27/8.

Therefore, the volume of the larger cylinder is 27/8 times greater than the volume of the smaller cylinder, which simplifies to approximately 3.375 times.

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Answer:

AB = 4.7 to the nearest tenth

Step-by-step explanation:

Usine the Sine Rule:

6/sin71 = AB/sin48

AB = (6 * sin48)/ sin71

= 4.716

Answer:

The triangles are similar.

Step-by-step explanation:

They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.

The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are shown in figure.

Here, All the corresponding angles are same in both triangles.

And, The ratio of their corresponding sides are,

In triangle TUV;

⇒ 90 / 108 = 30 / 36

In triangle QRS;

⇒ 30 / 36

Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

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Answer:

3 Gallons

Step-by-step explanation:

If half a gallon of paint covers 1/6 of a wall, then we need 6 1/2 gallons of paint. To make this simpler, we can just say that a gallon of paint can cover 2/6 of the wall. This means that with 2 gallons of paint, we can cover 4/6 of the wall. 3 gallons of paint will cover 6/6 of the wall.

Answer:

Step-by-step explanation:

Area=2(1+\(\sqrt{2}\))8²

       =309.0(round to nearest tenth)

The final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2)

Given expression is (a - b) (x²-7) - (a - b) (4x + 5).Here, (a - b) is a common factor in the given expression. We can factor out (a - b) as follows:(a - b) (x²-7) - (a - b) (4x + 5) = (a - b) [(x² - 7) - (4x + 5)] = (a - b) (x² - 4x - 12)Next, we can further factorize the expression x² - 4x - 12 as follows:x² - 4x - 12 = (x - 6) (x + 2)

Therefore, the final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2) - this is the answer.

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Answer: $542

Step-by-step explanation:

Given the following :

Selling price of refrigerator = $677.50

Markup = 25% of dealers' cost

Dealers' cost of refrigerator =?

Selling price = Dealers' cost + markup

Markup = 25% of dealers' cost

Let dealers' cost = d

Hence,

Selling price = d + 25% of d

Selling price = d + 0.25d

Selling price of refrigerator = $677.50

Then,

$677.50 = d + 0.25d

$677.50 = 1.25d

d = $677.50 / 1.25

d = $542

Part A:

Jessica has 1/2 yard of ribbon

1/2 yd = 0.5 yd

She uses an equal amount of ribbon to decorate 3 picture frames.

So, basically we need to divide the total amount of ribbon by 3:

0.5 yd/ 3 = 1/6 yd

Part B:

Let's first express the mixed number as a fraction:

1 1/3 yd = 4/3 yd

Alex uses the same amount of ribbon for each frame. And he needs to decorate 6, Hence:

We multiply the amount of ribbon in each frame, by the total of frames:

4/3 yd * 6 = 8 yd

Answer:

Hey there!

x+x+1/4+x+2/4

3x+0.75=6.75

3x=6

x=2

The lines are 2, 2 1/4, and 2 2/4.

Let me know if this helps :)

The three numbers or parts are 2 , 2 1/4 and 2 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be n = 6 3/4

Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,

Let the first divided number be = x

So , the second number will be 1/4 more than the first number

Second number = x + 1/4

And , the third number will be 1/4 more than the second number

Third number = x + 1/4 + 1/4

                       = x + 2/4

                       = x + 1/2

Now, the equation will be

The sum of all three numbers = 6 3/4

So ,

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

3x + 3/4 = 6 3/4

Subtracting 3/4 on both sides , we get

3x = 6

x = 2

Substituting the values of x in the equation , we get

First number = 2

Second number = 2 1/4

Third number = 2 1/2

Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2

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True, it is possible for an integer linear program to have more than one optimal solution.

In an integer linear program, the objective is to optimize a linear objective function subject to linear constraints and integer variable restrictions. While it is common for linear programs to have a unique optimal solution, in the case of integer linear programs, it is possible to have multiple optimal solutions.

This occurs when there are multiple feasible solutions that achieve the same optimal objective value. In such cases, any of the feasible solutions that satisfy the optimality conditions can be considered optimal. Therefore, it is true that an integer linear program can have more than one optimal solution.


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Answer:

the answer is 67 coins are not Nickels

Step-by-step explanation:

29+24+16=67 so there is 27 Nickels in the jar

Answer:

74.85 (Plato/Edmentum)

Step-by-step explanation:

#1: 28.97 + 45.876

#2: 74.846

#3: 74.85

The mean is 172, the variance is 34.4, and the standard deviation is 5.86.

The United States has a system of bicameralism, which means that each state has two chambers in its legislature: a lower chamber (such as the Assembly or House of Representatives) and an upper chamber (such as the Senate).

The number of constituents per district in each chamber varies from state to state, and it is usually determined by the state's constitution or by a state redistricting commission.

As of the 2010 census, Texas had about 811,147 constituents per state senate district.

However, this is not the highest number of constituents per senator among all the states.

In fact, the state with the highest number of constituents per senator is California.

According to the U.S. Census Bureau, as of the 2010 census, California had a population of approximately 37.3 million people.

The state's constitution provides for 40 state senators, which means that each senator represents approximately 933,000 constituents.

This is significantly higher than the number of constituents per senator in Texas.

The high number of constituents per senator in California can be attributed to the state's large population and the fact that the number of state senators has not kept up with population growth.

The last time the number of state senators in California was increased was in 1973, when the state's population was around 20 million people.

In conclusion, while Texas has a high number of constituents per state senate district, it is not the only state with a high number of constituents per senator.

California has a significantly higher number of constituents per senator, due to its large population and the fact that the number of state senators has not kept up with population growth.

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The the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function. Therefore, the correct option is option 1.

To determine which relation is a function, you should consider these three graphs:

1. A coordinate grid containing a U shape with arrows on both ends that opens to the right, with the bottom portion passing through the origin.

2. A coordinate grid with the graph of a circle centered at the origin and passing through the point (2, 1).

3. A coordinate grid with the graph of a vertical line at x=3.

A relation is a function if each input (x-value) has exactly one output (y-value).

1. The U shape with arrows on both ends that opens to the right is a parabola. In this case, for every x-value, there is only one corresponding y-value. Therefore, this relation is a function.

2. The graph of a circle centered at the origin and passing through the point (2, 1) is not a function. This is because there are x-values that have more than one corresponding y-value (e.g., points on opposite sides of the circle sharing the same x-value). Hence, this relation is not a function.

3. The coordinate grid with the graph of a vertical line at x=3 is not a function either. In this case, every x-value (3) has an infinite number of y-values, which violates the definition of a function.

In conclusion, among the given relations, option 1: the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function.

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Answer:

If a relationship between two quantities is not proportional then when the fraction is reduced there should not be an equal ratio and the graph should not be a line that passes through the origin.

Answer:

x= -4

Step-by-step explanation:

hope it's helpful to you

Answer:

A) x= -4

Step-by-step explanation:

To solve you must isolate the variable. Do this by using the properties of equality to subtract and divide numbers from both sides of the equation. First, subtract 8x to move all x terms to the right side.

-48=12x

Then, divide both sides by 12

-4=x

Answer:

Tina Turner's thighs are 18 inches wide.

The equivalent expression of 0.40a is 0.40(a - 1)

Stella uses the expression 0.40a, where a is the original attendance at a play, to find the reduced attendance at the next performance. A formula for calculating the reduced attendance at the next performance can be represented by this expression 0.40a.
To find the equivalent expression to 0.40a, we have to distribute 0.40 and simplify as shown below:0.40a= (0.40 * a) = 0.40a
Also, 0.40(a - 1) can also be used to calculate the reduced attendance at the next performance.

The equivalent expression to 0.40a is 0.40(a - 1).

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The total volume is,

= 350 + 100

= 450 in³

And, The total surface area is,

= 150 + 70 + 140 + 50

= 410 in²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

For Top prism:

To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V = 1/2 × l × w × h

   = 1/2 × 5 × 10 × 4

   = 100 in.

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is,

A = 1/2  bh = 1/2 × 7 × 4 = 14 .

Since there are 2 bases, the area is 28.

Now, Area of the rectangular side is,

A = bh

   = 10 x 5  = 50 in².

Since there are two,

Hence, the area is,

A = 2 × 50 = 100

And, The surface area of the prism is ,

50 + 100 = 150 in²

Bottom prism:

To find the volume of the bottom prism, multiply the width times the height times the length.

V = lwh

   = 10 x 5 x 7

   = 350 in³

And, To find the surface area of the bottom prism, find the area of the base and each side of the house.

A = 10 x 5 = 50 in

A = 10 × 7 = 70 which occurs twice so it has a total area of 140.

A = 5 x 7 = 35 which occurs twice so it has an area of 70

Hence, The total volume is,

350 + 100

450 in³

And, The total surface area is,

= 150 + 70 + 140 + 50

= 410 in²

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Answer:

1st Option

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Step 1: Find the missing leg

2² + b² = 6²

b² = 36 - 4

b = √32

Step 2: Find cosA

cosA = √32/6

cosA = 4√2/6

cosA = 2√2/3

Calculi of valor X no's Triangulo's rectangles a) x= 6 +8 b) x= 9+12 c) x=4+5 d)20=4x+3x

Given: A car rental company has 468 cars on their lot. They can rent all 468 cars at a rate of $46 per day. They determine that for every $1 increase in the rental cost, they will rent 3 fewer cars. We have to find the car rental rate that will maximize revenue for the company.

Let's start the solution, Let x be the increase in the rental cost Let the original rate be R1=46The rental rate for x is R2=R1+xLet C1 be the cars rented at R1 and C2 be the cars rented at R2C1 = 468C2 = 468 - 3xFrom the given information, it is known that revenue is the product of the rental rate and the number of cars rentedRevenue1 = C1 * R1Revenue2 = C2 * R2Maximize the revenue equation,

We have to take its derivative, Equation of Revenue for C1 = R1 * C1 and Revenue for C2 = R2 * C2So,Revenue equation: R(x) = (468 - 3x)(46 + x)R(x) = 21468 + 115x - 3x^2Revenue'(x) = -6x + 115Differentiating the equation with respect to x Revenue'(x) = 0-6x + 115 = 0x = 19.166R2 = R1 + x = 46 + 19.166R2 = $65.166Thus, the car rental rate that will maximize revenue for the company is $65.166.

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