The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office

Answer:

66x

Step-by-step explanation:

Rect = bh

Rect = 15 x 4x

Rect = 60x

Triangle = (bh) / 2

B = 7x - 4x

B = 3x

A = 15 - 11

A = 4

Tri = (4 x 3x) / 2

Tri = 12x / 2

Tri = 6x

All = Rect + Tri

All = 6x + 60x

All = 66x

(I promise it's right this time)

Answer:

66x

Step-by-step explanation:

Separate the shape into a rectangle and a triangle.

Dimension of the rectangle:

Dimension of the triangle:

Area of a rectangle = length × width

Area of a triangle = 1/2 × base × width

Total area = area of rectangle + area of triangle

                 = (15 × 4x) + (1/2 × 4 × 3x)

                 = 60x + 6x

                 = 66x

The probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

For this case, the table given is:

Entries                          4-wheel drive        No 4-wheel drive        Total

Third Row Seats                  18                                12                        30

No Third Row Seats             7                                28                        35

Total                                     25                               40                        65

Let we take

A = event that a randomly selected car has no-4 wheel drive

B = event that a randomly selected car has third row seats

The total ways a car can be selected = 65 = n(S)

Total ways A can happen = n(A) = 40 (from the table).

Similarly, n(B) = 30

P(A) = n(A)/n(S) = 40/65

P(B) = n(B)/n(S) = 30/65

P(A∩B) = n(A∩B)/n(S) = 12/65

As by chain rule, we have:

P(A∩B) = P(A)P(B|A) = P(B)P(A|B)

We need P( A randomly selected car has three seats given that the selected car is with no 4-wheel drive)

which is symbolically P( B | A)

Thus, we use: P(A∩B) = P(A)P(B|A)

or

[tex]12/65 = (30/65)(P(B|A))\\\dfrac{12/65}{30/65} = P(B|A)\\\\P(B|A) = \dfrac{12}{30} = \dfrac{2}{5} = 0.4[/tex]

Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4

Learn more about probability here:

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Answer:

b.  0.4

Step-by-step explanation:

took the test

Answer:

750 gallons per hour

Step-by-step explanation:

divide 18000 by 24 and you get 750

Answer: 60

Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .

Answer:

20

Step-by-step explanation:

100/5=20

The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.

From the diagram, each side is called the side length. Therefore,

If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.

Learn more about square on:

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Answer:

x = 45.

Step-by-step explanation:

The angle between the shorter line and line n is 90 degrees, so

2x must be 90 degrees for m and n to be parallel.

x = 45.

Answer:

189 is the LCM of 27 and 21

Answer:

9 hours, 540 minutes

Step-by-step explanation:

12 x 0.75 = 9

Answer:

Voir ci-dessous.

Step-by-step explanation:

1.

OA/OD = 36/64 = 9/16

OB/OC = 27/48 = 9/16

m<AOB = m<COD

triangle AOB ~ trianlge DOC

m<BAO = m<CDO

AB || CD

2.

AB/CD = OA/OD

AB/80 = 36/64

AB/80 = 9/16

16AB = 9 × 80

AB = 9 × 5

AB = 45

AB = 45 cm

3.

AB = 45

BC = OC + OB = 48 + 27 = 75

AB² + AC² = BC²

45² + AC² = 75²

AC² = 5625 - 2025

AC = √3600

AC = 60 cm

hauteur = 5 × 2 cm + 4 × 60 cm

hauteur = 10 cm + 240 cm

hauteur = 250 cm

If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have  $35,517,190.20.

The formula that can be used to determine the value of the fund after 16 years is:

Initial value of the fund x annuity factor

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

(1.13^16 - 1) / 0.13 = 46.671735

46.671735 x $761,000.00 = $35,517,190.20

To learn more about how to calculate future value, please check: https://brainly.com/question/24108530

Answer:

24

Step-by-step explanation:

4(1)m + 4(6)m

= 4m + 24m

Answer:

the average rate of change is D. -4

Answer:

[tex]x^{2}[/tex] - 2x + 4

Step-by-step explanation:

Answer:

A 0.5 = 0.50

Step-by-step explanation:

The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5

These two are equal.

In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease

Answer:C, 9 sheets

Step-by-step explanation:

Answer: It's true, it's 9.

Step-by-step explanation:

Answer:

area = 4x² +210x + 2250

Step-by-step explanation:

Area of a rectangle = width × length

Given:

⇒ area = (2x + 30)(2x + 75)

            = 4x² +150x + 60x + 2250

            = 4x² +210x + 2250

Answer:

17.8

Step-by-step explanation:

The power ands the square root cancel out.

Answer:

Step 1: Identify the coordinates of each of the vertices of the triangle.

Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.

Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.

Step-by-step explanation:

Triangle: A triangle is a three-sided geometric figure made by connecting each pair of points in a set of three with straight lines. The points that define a triangle are known as vertices

Answer:

  6 games

Step-by-step explanation:

The number of games can be found by determining the number of groups of 10 Maria can make.

 62/10 = 6.2

Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.

The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A triangle has sides that measure 2 units, 5 units, and 5.39 units.

The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be

[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]

Then the area of the circle will be

[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]

The area of the circle is 12 square units.

More about the circle link is given below.

https://brainly.com/question/11833983

Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:

[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.

x hours - 1 way

Applying cross multiplication:

[tex]\frac{2}{3}x = \frac{7}{4}[/tex]

[tex]2x = \frac{21}{4}[/tex]

[tex]x = \frac{21}{8}[/tex]

x = 2.625.

It will take Michael 2.625 hours to drive to his mother's house.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

16

Step-by-step explanation:

Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.

At that point you can compute the area by multiplying base and height, and the total surface is 16.

Answer:

i believe the correct answer is a

Answer:

the sum of a number

Step-by-step explanation:

0.017

Answer:

7.5 liters of milk

Step-by-step explanation:

Multiply 10 by 0.75

Hope that helps!

Answer:

[tex]a=36\: \sf ms^{-2}[/tex]

Step-by-step explanation:

[tex]\textsf{Displacement}\:x=4t^3-27t+8[/tex]

[tex]\implies \textsf{Velocity}\:v=\dfrac{dx}{dt}=12t^2-27[/tex]

[tex]\implies \textsf{Acceleration}\:a=\dfrac{dv}{dt}=24t[/tex]

At the moment the direction of motion of P reverses, the velocity of P will be zero.   Therefore, find the value of t when v = 0:

[tex]\implies v=0[/tex]

[tex]\implies 12t^2-27=0[/tex]

[tex]\implies t^2=\dfrac{27}{12}=\dfrac94[/tex]

[tex]\implies t=\pm\sqrt{\dfrac94}=\pm\dfrac32[/tex]

As time is positive, P reverses when t = 3/2 s

To find acceleration at this time, simply substitute the found value of t into the equation for acceleration:

[tex]\implies a=24(\frac32)[/tex]

[tex]\implies a=36\: \sf ms^{-2}[/tex]

Answer:

 (x3 - 2x2 - 4) • (x + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x4) -  22x2) -  4x) -  8

STEP

2

:

Checking for a perfect cube

2.1    x4-4x2-4x-8  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x4-4x2-4x-8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x4-8

Group 2:  -4x2-4x

Pull out from each group separately :

Group 1:   (x4-8) • (1)

Group 2:   (x+1) • (-4x)

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x4-4x2-4x-8

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8

Answer:

1)   area = (x + 3)(2x + 3) ft²

2)   299 ft²

Step-by-step explanation:

Question 1

Area of a rectangle = width x length

Given:

⇒ area = (x + 3)(2x + 3) ft²

Question 2

If x = 10:

⇒ area = (10 + 3)(2(10) + 3)

            = 13 · 23

            = 299 ft²

#1

So

Area:-

#2

Put x=10