A carpet, measuring 4m by 2. 5 m, cost $86. Find the cost of a carpet of the same quality, measuring 5m by 3m. ​

Answers

Answer 1

The cost of a carpet of the same quality, measuring 5m by 3m is $129.

We can use the unitary method to solve this problem. The unitary method is a technique used for solving a problem by first finding the value of a single unit, and finding the necessary value by multiplying the single unit value.

In this question, it is given that a carpet measuring 4m × 2.5m costs $86. That means the 10m² area of carpet costs $86 if we divide 10 by both the cost and area of the carpet we will find that, 1 m² area of carpet will cost $8.6. So the cost of a carpet of 5m × 3m will be the area of the carpet multiplied by the cost of the carpet per 1 m² i.e, 15m² of carpet will cost $8.6 × 15 which is equal to $129.

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Related Questions

Find the missing side lengths. Leave your answers as radicals is simplest form.

Answers

a = 13 and b = 13 root 2 over 2

In a circle with radius 5.1, an angle intercepts an arc of length 30.3. Find the angle in
radians to the nearest 10th.

Answers

Answer:

5.9 radian

Step-by-step explanation:

Applying,

S = 2πrФ/360°................. Equation 1

Where s = length of the arc, r = radius, Ф = angle.

make Ф the subject of the equation

Ф = 360S/(2πr)........... Equation 2

From the question,

Given: S = 30.3, r = 5.1

Constant: π = 3.14

Substitute into equation 2

Ф = (360×30.3)/(2×5.1×3.14)

Ф = 340.58°

Ф = (340.58×2×3.14)/360

Ф = 5.9 radian

80 board game is on sale for 20 percent off

How much is the board game?

Answers

Answer:

the answer is 64 dollars or pounds or whichever currency

Answer:

The bord game is 64$.

Step-by-step explanation:

80/10=8

8*(8-2)=

64$

A company makes 120 bags.
28 of the bags have buttons but no zips.
41 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

Answer:

7/15

Step-by-step explanation:

You have 120 bags. 64 of them in total do not contain buttons.

120 - 64 = 56

You have 56 bags with buttons. The simple answer is,

56/120

You can simplify this down to 7/15

If you're looking for percent, the answer is 46.67%

hello please help i’ll give brainliest

Answers

Answer:

ocean crust is thinner

Step-by-step explanation:

Answer:

Oceanic crust is thinner  

hope this helped

Step-by-step explanation:

What is the sum of the measures of the exterior angles of the polygon shown below if necessary round to the nearest 10th

Answers

Answer:

24

Step-by-step explanation:

Number of sides = 15 (counted and it was a pain the a*s)

The total measure of the exterior angle = 360

= 360/15

= 24 degree

Each angle is measured 24 degree

The sum of the exterior angles of the polygon shown in the image is: 360°.

What is the Sum of Exterior Angles of a Polygon?

Regardless of the number of sides or angles a polygon has, the sum of exterior angles of any polygon is always 360 degrees.

Thus, the polygon given has 15 sides, however, the sum of all its exterior angles will still give 360 degrees.

Therefore, the sum of the exterior angles of the polygon shown in the image is: 360°.

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The absolute value function graphed below can also be represented by a piecewise function.

Determine which function is represented by the graph.

please help!!!

Answers

Answer:

Step-by-step explanation:

Trust me

For what value of n is n-2] + 2 equal to 0?

Answers

Answer:

n=0

Step-by-step explanation:

0 - 2 = -2

-2 + 2 = 0

Jak starts to save at age 40 for a vacation home that he wants to buy for his 50th birthday. He will contribute $1000 each quarter to an account, which earns 2.1% interest, compounded annually. What is the future value of the investment, rounded to the nearest dollar, when jak is ready to purchase the vacation home?

Answers

Answer:

[tex]P=\$40840[/tex]

Step-by-step explanation:[tex]I=840[/tex]

From the question we are told that:

Time interval [tex]t=50-40=>10years[/tex]

Annual contribution [tex]X= 4*1000=>\$4000[/tex]

Annual interest rate [tex]r=2.1\%[/tex]

Generally the 10 years interest I is mathematically given by

[tex]I=X*t*r[/tex]

[tex]I=4000*0.021*10[/tex]

[tex]I=840[/tex]

Generally the equation for  the future value of the investment [tex]P[/tex]  is mathematically given by

 [tex]P=X*t+840[/tex]

 [tex]P=(4000*10)+840[/tex]

 [tex]P=\$40840[/tex]

Determine the missing angle measure.

Answers

Answer:

Step-by-step explanation:

Since you already know that one of the angles is 21 degrees, this helps you A LOT. In total the line is 180 degrees so to find x you just do 180-21 which equals 159

x+ 159 degrees

find the area of the shaded regions below. give your answer as a completely simplified exact value in terms of π (no approximations)

Answers

Answer:

Step-by-step explanation:

the area of the hemisphere is  1/2 [tex]\pi[/tex][tex]r^{2}[/tex]

the radius is 1/2 the diameter,

the diameter is also the hypotenuse of the isosceles triangle

[tex]d^{2}[/tex] = [tex]4^{2}[/tex]+[tex]4^{2}[/tex]

[tex]d^{2}[/tex] = 32

d =[tex]\sqrt{32}[/tex]

r = 1/2[tex]\sqrt{32}[/tex]

1/2[tex]\pi[/tex](1/2[tex]\sqrt{32}[/tex])^2

1/2[tex]\pi[/tex](1/4*32)

(32/8 )*[tex]\pi[/tex]

4[tex]\pi[/tex] ( the entire upper hemisphere )

area of the triangle is  1/2* 4 *4 = 8

then the exact area of the parts of the circle would be

4[tex]\pi[/tex] - 8    

Please help I will give 15 points

Answers

Answer:

THE FIRST ONE

Step-by-step explanation:

helppp PLEASEE !!! lol

Answers

Answer:

3.14 x 3.8^2 = 45.3416

* find the surface area

hope this helped

Step-by-step explanation:

Answer:

if your going by 3 as pie you would do this:

Step-by-step explanation:

3*3.8*3.8=43.32

How do you write 5 more than a number?

Answers

x+5 is the way we can write 5 more than a number.

In a formula or equation involving mathematical operations, the representation of numbers by alphabet is referred to as algebra.

Using the knowledge provided above, we must translate the mathematical statement provided in the question into an algebraic expression. Let's say that number is "x". The result of adding 5 to the provided number is a number that is 5 greater than this number. Thus, a number that is 5 more than x is equal to x+5. As a result, "5 more than a number" is represented by the algebraic expression "x+5".

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The reputation of a city has been decreasing exponentially since 1990. In 1990, the population was 1,000,000. In 2010, the population was 560,000. If t represents time in years since 1990, which of the following equations
best models the decay of the population?

Answers

Answer:

i think you have to soleve that srry

A rectangle frame needs to be constructed so that its width and length are in a ratio of 3:4 and its diagonal is 25 inches. What is the perimeter of the frame?

Answers

Answer:

70 inches

Step-by-step explanation:

From the diagram attached,

Assuming the width, lenght and diagonal of the rectangle forms a right angle triangle.

Applying pythagoras theorem,

a² = b²+c²................... Equation 1

Where a = diagonal =  25 inches, b = width = 3x inches, c = length = 4x inches

Substitute these values into equation 1 and solve for x

25² = (4x)²+(3x)²

625 = 14x²+9x²

625 = 25x²

25x² = 625

x² = 625/25

x² = 25

x = √25

x = 5 inches.

Therefore,

Width(w) = 3×5 = 15 inches

Length(l) = 4×5 = 20 inches

Perimeter (P) = 2(l+b)

P = 2(15+20)

P = 2(35)

P = 70 inches

Hence the perimeter of the frame is 70 inches

4r= -36
-72
-40
-9
9

Answers

Answer:

4r=-36

-36/4=r

-9=r

Therefore

r=-9

Answer: r=−9

Step-by-step explanation: Hope this help :D

Let's solve your equation step-by-step.

4r=−36

Step 1: Divide both sides by 4.

4r/4=−36/4r

=−9

please help me!!10points

Answers

Answer:

167 feet

Step-by-step explanation:

Please see the attached image.

(90-42)°=48°

The tangent of an angle is the opposite side relative to that angle divided by the adjacent side.

tan(48°)=x/150

x=tan(48°)*150

x≈167

Answer: 167 feet

What properties does the shape below have? Why is it not a parallelogram?

Answers

Answer:

Parallelograms have two symmetries but this kite had only one symmetry  

Define symmetry-The symmetry that a figure has if it can be divided by a line into two parts that are mirror images.

Observe my example why its not a parallelogram...

Hope this helps plz like and brainly :D

Much would be appreciated <3

Can anyone help explain this math equation like I gotta turn this math in by midnight tonight!! I will give brainlist btw!!

Answers

Answer: 1) 288 inch^3

2) 960 inch^3

3) 188 cm^3

4) 44 inch^3

5) 396 ft^3

6) 552 inch^3

Step-by-step explanation:

1) (2*3)(3*2)(2*4)=288 inch^3

2) (4*5)(4*3)(4*1)=960 inch^3

3) 4*4*8+3*4*5=188 cm^3

4) 2*2*8+2*6*1=44 in^3

5) 4*6*6+6*6*7=396 ft^3

6) 8*6*10+4*3*6=552 in^3

In ΔABC, M∠A = 56°and M∠B = 73°. what is M∠C?

Answers

Answer:

51

Step-by-step explanation:

triangles equal to 180, 56+73+51 equals 180 :)

brainliest pls

Answer:

m∠C  = 51°

Step-by-step explanation:

By definition of interior angles of a triangle, the ∑ΔABC's interior angles = 180°.

It is given that m∠A = 56° & m∠B = 73°. Set the equation:

56 + 73 + m∠C = 180

First, combine like terms:

(56 + 73) + m∠C = 180

m∠C + 129 = 180

Next, isolate the term, m∠C. Note the equal sign, what you do to one side, you do to the other. Subtract 129 from both sides:

m∠C + 129 (-129) = 180 (-129)

m∠C = 180 - 129

m∠C  = 51°

51° is your answer for m∠C.

~

Convert one three fifths to a percent find that percent of 30 Divide your answer by 25% of 16

Answers

Answer:

40%

Step-by-step explanation:

1 and 3/5 as a fraction is 8/5 which as a percent is 160%.

25% of 16 is 4

160%/4 = 40%

The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

Answers

The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.

In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:

The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.

As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.

[tex]$$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$[/tex]

Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.

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What do () mean in math?

Answers

Parentheses are employed to indicate changes to the usual order of operations.

Define round brackets.

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

Mention other brackets as well.

{}, [] are other type of brackets.

In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.

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Rewrite the radical by extracting all possible roots and write your answer in radical form 75x4y7−−−−−−√

Answers

Answer:

[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{75x^4y^7[/tex]

Required

Rewrite

Express 75 as 25 * 3

[tex]\sqrt{75x^4y^7} = \sqrt{25 * 3x^4y^7}[/tex]

Split

[tex]\sqrt{75x^4y^7} = \sqrt{25} * \sqrt{3x^4y^7}[/tex]

This gives:

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3x^4y^7}[/tex]

Express y^7 as y^6 * y

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3*x^4 * y^6 * y}[/tex]

Split

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} *\sqrt{x^4} * \sqrt{y^6} * \sqrt{y}[/tex]

Express square roots as exponents

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^{(4 * \frac{1}{2})} * y^{(6* \frac{1}{2})} * \sqrt{y}[/tex]

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^2 * y^3 * \sqrt{y}[/tex]

Rewrite the factors

[tex]\sqrt{75x^4y^7} = 5 * x^2 * y^3* \sqrt{3} * \sqrt{y}[/tex]

[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3} * \sqrt{y}[/tex]

Combine roots

[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3y}[/tex]

[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]

On a negatively skewed curve, which is true?

Answers

The statistical model is not good, and this is true for a negatively skewed curve.

What means negatively skewed curve?

It is a statistical term implies that a curve is skewed at the left side.

In a statistical data for a certain distribution, we can get a negatively skewed curve when most of the data values are located on the right side of the distribution graph. The high concentration of values on the right side of distribution curve forms a long tail in the negative direction.

Which is true for negatively skewed curve?

In general, negatively skewed curve is not good because it expresses the tendency of left tail events. Negatively skewed curves indicate a poor return from an investment. That means a person might be earn lower or no profit from his business. In case of an exam scores, negative skewed data value implies the question was too easy to perform better than usual.

In a word, left skewed or negatively skewed curve or data values inform us to be aware about the current statistical model and inspire us to take proper steps for wellbeing.

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Write a rule to calculate 1% of any number

Answers

If you are doing algebra the answer is most likely:

0.01 times x

0.01 is 1% and x is a variable that represents any number
0.01(x)

where x is the number

)8th grade math, Pls help, will mark Brainliest (For the FIRST AND CORRECT answer)

Answers

The answer is W=-7/6
The answer is W= -7/6
Explanation : it’s just is

The density function of the continuous random variable x, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is given below: f(x) = { x, 0 < x < 1 8 − x, 1 ≤ x < 2 0, otherwise Find the average number of hours per year that families run their vacuum cleaners?

Answers

Answer:

1000 hours

Step-by-step explanation:

∫xf(x)dx = ∫x*xdx (1,0) + ∫x*(8-x)dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8x - x²dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8xdx (2,1) - ∫x²dx (2,1)

∫xf(x)dx = x³/3(1,0) + 8x²/2 (2,1) - x³/3(2,1)

∫xf(x)dx = 1/3 + 8(4/2 - 1/2) - (8/3 - 1/3)

∫xf(x)dx = 1/3 + 8(2-0.5) - (7/3)

∫xf(x)dx = 1/3 + 8(1.5) - 7/3

∫xf(x)dx = 1/3 + 12 - 7/3

∫xf(x)dx = - 6/3 + 12

∫xf(x)dx = - 2 + 12

∫xf(x)dx = 10

The average number of hours the family runs their vacuum cleaner in units of 100 hours

100 * 10 hours = 1000 hours

Please help me with this homework question. No silly answers please and no bots, links, etc! I will mark brainliest to whoever gets this right. Thank you!​

Answers

Answer:

T = (m × 20) + 25

(2.5 × 20) + 25 = 75

75 minutes

110 - 25 = 85

85 ÷ 20 = 4.25

4.25 kilograms

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