Carpet sells for $3 per square foot and will cost you $675 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?

Answer:

20 people

Step-by-step explanation:

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.

On Monday, 3,000 customers came to the theater.

To find the number of people who got both free items, we will calculate the Least Common Multiple (LCM) of 30 and 75.

LCM of 30, 75

= 5 × 3 × 5 × 2

= 150

Each 150th customer will receive both free items.

Total number of people who receive both free items = 3000 ÷ 150

                                                                                      = 20 people

On Monday 20 people will receive both free items.

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

To solve more questions on inequalities, visit the link below -

https://brainly.com/question/16872672

#SPJ1

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Step-by-step explanation:

so, we have a right-angled triangle.

the line of sight (top of the tower to the fire in the ground) is the Hypotenuse (the baseline opposite to the 90° angle).

the tower itself (180 ft) and the ground distance (from the base of the tower to the fire) are the legs enclosing the 90° angle.

the angle of depression (20°) at the top of the tower is the same as the angle of elevation at the point of the fire looking up to the tower.

then we know the 90° at the base of the tower.

and the third inner angle (at the top of the tower) is then

90 - 20 = 70°.

remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides (a, b, c) are always opposite to the correlated angles (A, B, C).

so, in our case we have

180/sin(20) = distance/sin(70)

distance = 180×sin(70)/sin(20) = 494.5459355... ≈

≈ 495 ft

All the three person earn $230.75 in all.

What is mean by Addition?

The process of combining two or more numbers is called the Addition.

Given that;

You earn in selling items = $35.50

Newton earn 5 times as much you.

Descartes earns 0.1 times as much as Newton does.

Now,

You earn in selling item = $35.50

Newton earn in selling = 5 x $35.50

                                   = $177.5

Descartes earn in selling = 0.1 x $177.5

                                      = $17.75

So, Total earn = $35.50 + $177.5 + $17.75

                     = $230.75

Therefore, All the three person earn $230.75 in all.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

To learn more about the surface area of shapes, refer to:

https://brainly.com/question/31978573

https://brainly.com/question/32198861

https://brainly.com/question/26883871

https://brainly.com/question/30816589

https://brainly.com/question/27847638

https://brainly.com/question/15476432

https://brainly.com/question/14001755

https://brainly.com/question/29298005

9514 1404 393

Answer:

  D and E are each 62 cm

Step-by-step explanation:

Apparently, you want the total width of the bookcases to match the width of the wall.

  132 +92 +108 +w +w = 456

  332 +2w = 456

  2w = 124 . . . . . . . subtract 332

  w = 62 . . . . . . . . . divide by 2

The width of bookcases D and E is 62 cm.

x < 3 17/20

Step-by-step explanation:

yes

The amount after 5 years on $100 using the compound interest is $122.

According to the question,

We have the following information:

Principal = $100

Interest Rate = 4%

Time= 5 years

We know that the following formula is used to find the total amount if there is compound interest:

Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years

(Note that there are different formulas for compound interest depending on how it is calculated.)

A = \(100(1+\frac{4}{100})^{5}\)

A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)

A = 100*1.22

A = $122

Hence, the amount after 5 years on $100 using the compound interest is $122.

To know more about compound interest here

https://brainly.com/question/12106357

#SPJ1

Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:

F = Wsinθ

Where:

Making theta (θ) the subject of formula, we have:

θ = sin⁻¹(F/W)

Substituting the given parameters into the formula, we have;

θ = sin⁻¹(160/2710)

θ = sin⁻¹(0.0590)

Theta, θ = 3.38 degrees.

Read more on grade resistance here: https://brainly.com/question/14942029

#SPJ1

Answer:

154 in^3

Step-by-step explanation:

to find a volume of a rectangular prism all you have to do is multiply the length, width and height

so for this

11(7) = 77

77(2) = 154

The perimeter of triangle ABC in this problem is given as follows:

21 units.

The similar triangles for this problem are given as follows:

ABC and AED.

Hence the proportional relationship for the side lengths is given as follows:

(x + 1)/(2x + 2) = 5/10 = (x + 2)/6.

The value of x is then given as follows:

5/10 = (x + 2)/6.

(x + 2)/6 = 1/2

2x + 4 = 6

2x = 2

x = 1.

Hence the side lengths of ABC are given as follows:

Thus the perimeter is:

4 + 10 + 7 = 21 units.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

n=4

Step-by-step explanation:

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

Learn more about rotation:
https://brainly.com/question/1571997
#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

I'm guessing 3 rounds means 3 times around?

diameter = 280

circumference = dπ = 280π

280π x 3 = 840π

If you want it rounded it's about 2638.94 :)

A circle is a curve sketched out by a point moving in a plane. The diameter of the circular poll is 12 inches. Thus, the correct option is A.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The area of a circle is given as πR², where r is the radius of the circle. Since the area of the pool is 113 sq. inches, therefore, the radius of the circle will be,

Area of pool = πR²

113 sq. inches. = πR²

113/π = R²

R = √35.9690

R = 5.9974 ≈ 6 inches

Now, since the diameter of a circle is twice the radius of the circle, therefore, the diameter of the circle will be,

Diameter of the circle = 2 × 6 inches = 12 inches

Hence, the diameter of the circular poll is 12 inches. Thus, the correct option is A.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ1

Answer:

a. 12 inches

Step-by-step explanation:

113 ÷ 3.14 = 35.98726114649682

2√35.98726114649682 = 5.998938334947011

5.998938334947011 x 2 = 11.99787666989402

keyword approximate ;)

Answer:

hi, I think the answer is x^2-2x+1 I don't see that option there but I'm guessing that was suppose to be option OA.

explanation:

(x-1)^2 is basically

(x-1)×(x-1)

rest of the explanation is in the photo

hope this helps

Answer:

Air resistance

Step-by-step explanation:

Air resistance is a type of friction that occurs when air pushes against a moving object causing it to negatively accelerate

Answer:

Air resistance

Step-by-step explanation:

Air resistance is a type of friction that occurs when air pushes against a moving object causing it to negatively accelerate.

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

Learn more about quadratic equations by reading:

https://brainly.com/question/1214333

#SPJ1

There are 8 names

2 of them started by letter M

Then the number of names that do not start with M = 8 - 2 = 6

Since probability = part/total

The part = 6

The total = 8

The probability = 6/8

Divide up and down by 2

The probability = 3/4

The probability that the name of the planet that does NOT start with the letter M is 3/4

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

2x - y _> 2 = 4 / y<4 3.2

Step-by-step explanation:

Answer: (z + 2)(z - 3)

Step-by-step explanation:

First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:

(z - 3)(z + 2).

Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.

Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.

Answer:

im answering this for the points and also u lied about how many points i would be getting. -.-

Step-by-step explanation:

answer is C i think

Answer:

7x^{2} +3y^{2} -4x

Step-by-step explanation:

12-5=7

-11-(-14)=3

-13-(-9)= -4

so it will be \(7x^{2} +3y^{2} -4x\)

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

The given equation is

To find a solution we must choose a value of x, then find the corresponding value of y

Let us choose x = 2

Substitute x in the equation by 2

Then let us find the value of y

Subtract 4 from both sides

Divide both sides by 3

The solution is (2, 1)

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

Learn more on exponential equations here: https://brainly.com/question/28595962

#SPJ1

The area of the quadrilateral increases as the lengths of the sides become

the same.

Reasons:

Length of the wire = 32 cm

Length of side of square Arun made, s = 8 cm

Perimeter of the square, P = 4 × 8 cm = 32 cm = Length of the wire

Length of a side of the rectangle David made, L = 9 cm

Perimeter of the rectangle, P = 32 cm = 2·L + 2·B

Where;

B = The breadth of the rectangle

Therefore;

P =  32 cm = 2·L + 2·B = 2 × 9 cm + 2·B

2·B = 32 cm - 2 × 9 cm = 14 cm

B = 14 cm ÷ 2 = 7 cm

The breadth of the rectangle David made B = 7 cm

Therefore;

Breadth of the rectangle Raj made, B = 10 cm

Therefore;

32 cm = 2·L + 2 × 10 cm

2·L = 32 cm - 2 × 10 cm = 12 cm

L = 12 cm ÷ 2 = 6 cm

The length of the rectangle Raj made, L = 6 cm

Therefore;

Learn more about the area of plane shapes here:

https://brainly.com/question/8370300

The expression for the height (h) in terms of radius r is h = 547/(∏r²).

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

Given that the volume of the cylinder is 547 cubic inches.

The volume of a cylinder is V = ∏r²h

Where r is the radius of the cylinder.

h is the height of the cylinder.

Putting V = 547, r = r and h = h in V = ∏r²h

547 = ∏r²h

∏r²h = 547

Divide both sides by ∏r²:

h = 547/∏r².

To learn more about expression, click on below link:

https://brainly.com/question/25311881

#SPJ1