Find the values of the variables and the measures of the angles

Final answer:

Linda and Ralph will owe approximately $9,905.52 in prorated property taxes for the year, after calculating the daily property tax rate and multiplying it by the number of days they will own the home in the current tax year.

Explanation:

Linda and Ralph need to determine their prorated expenses for the property taxes that have already been paid by the seller. To calculate this, we first need to determine the daily property tax rate, and then calculate how much they owe from the closing date, April 27, until the end of the year, December 31.

Calculating the Daily Property Tax Rate

The seller paid $14,578.15 for the full year. There are 365 days in a year, so the daily property tax rate is:

Daily rate = Total annual taxes / Number of days in the year

Daily rate = $14,578.15 / 365

Daily rate ≈ $39.94

Calculating Prorated Property Tax from Closing Date

Linda and Ralph will own the property starting on April 27, and there are 248 days remaining in the year from April 27 to December 31 (inclusive). Therefore, the prorated amount they owe for property taxes is:

Prorated taxes = Daily rate * Number of days from closing to end of year

Prorated taxes = $39.94 * 248

Prorated taxes ≈ $9,905.52

Linda and Ralph will owe approximately $9,905.52 in prorated property taxes for the year.

To solve the equation, we can set up the equation as '5x - 5 = 3x + 7' and solve for x using algebraic manipulations.

Let's solve this equation step by step. Let's assume that the number we are looking for is 'x'.

According to the question, 'five times a certain number, minus 5' can be represented as 5x - 5. And 'seven more than three times the number' can be represented as 3x + 7.

So, we can write the equation as 5x - 5 = 3x + 7. Now, let's solve for x.

Subtract 3x from both sides: 5x - 3x - 5 = 3x - 3x + 7.

Simplify: 2x - 5 = 7.

Add 5 to both sides: 2x - 5 + 5 = 7 + 5.

Simplify: 2x = 12.

Divide both sides by 2: 2x/2 = 12/2.

Simplify: x = 6.

Therefore, the solution to the equation is x = 6.

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Answer:

e = 30

Step-by-step explanation:

Since 114 and the adjacent angle are supplementary, that means they add up to 180.

114 + x - 114 = 180 - 114

x = 66

Now, solve inside the triangle which adds up to 180.

54 + 66 + 2e = 180

120 + 2e - 120 = 180 - 120

2e / 2 = 60 / 2

e = 30

Answer:  e = 30

Answer:

it is an Isosceles triangle

Step-by-step explanation:

because it has two side the same and the other one is different

Answer

isosceles triangle

Step-by-step explanation:

Answer:

11x-36

for your answers

Answer:

x= -12

or

x=3

Step-by-step explanation:

in order to factorise the equation x² + 9x - 36

it will be expressed like this to make it a complete equation by subtracting 36 from both sides

x² + 9x - 36=0

the next step is to look for two numbers that when multiplied will give us -36 and when added together it will give us 9.

the numbers would be -3 and 12

so we have

x²-3x + 12x -36 =0

x(x-3) + 12(x-3) = 0

(x+12)(x-3)=0

we have,

x + 12 =0

x = -12

or

x-3 =0

x= 3

Therefore, the factors for x are  -12 or 3.

Answer:

12 - 4

Step-by-step explanation:

Number of ways can the runners finish first, second, and third is 1,17,600 .

Step-by-step explanation:

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : [tex]P(n,r) = \frac{n!}{(n-r)!}[/tex] where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ [tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]

⇒ [tex]P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}[/tex]

⇒ [tex]P(50,3) = 50(49)(48)[/tex]

⇒ [tex]P(50,3) = 1,17,600[/tex]

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

Answer:

6046.56

Step-by-step explanation:

1938+4%=2015.52*3=6046.56

Answer:

3

Step-by-step explanation:

375/5 = 75

75/5 = 15

15/5 = 3

....  Basically you are dividing each term by 5 until you reach 3.... the most simplified version of this equation.

The next (i.e the 4th) term of the geometric sequence: 375, 75, 15​ is 3

This is a sequence which have common ratio between each term. It is represented as

Tₙ = arⁿ¯¹

Where

a is the first term

r is the common ratio

n is the number of term

Tₙ is the nth term

Tₙ = arⁿ¯¹

T₄ = 375 × 0.2⁴¯¹

T₄ = 375 × 0.2³

T₄ = 3

Learn more about geometric sequence:

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Answer:

y = -6x + 3

Step-by-step explanation:

y = 3/4(-12x+4) + 1/2(6x)

y = -9x + 3 + 3x

y = -6x + 3

If this answer is correct, please make me Brainliest!

Answer:

15/10,000

Step-by-step explanation:

0.005 = 5/1000

0.3 = 3/10

5/1000 * 3/10 = 15/10,000

Answer:  15/10,000

Answer: the reasonable estimate is (1.1, -1.9)

Step-by-step explanation: in solving simultenous equations graphically the answer is choosing by tracing the intercept of the two lines

Answer:

the reasonable estimate is (1.1, -1.9)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Sin(30) = LJ/8sqrt(3)

Sin 30 = ½

LJ = 4sqrt(2)

LM = JM = x

x² + x² = (4sqrt(2))²

2x² = 32

x² = 16

x = 4

Average speed of the entire journey is 3.08 km/hr

Step-by-step explanation:

Distance = Speed × Time = 4 × 2.5 = 10 km

Distance = 2.5 × 4 = 10 km

Average Speed = Total distance/Total time

                          = 10 + 10/2.5 + 4 = 20/6.5

                          = 3.08 km/hr

Answer:

16x

Step-by-step explanation:

its basically saying (2x)x(8x) which would equal 16x

Answer: 10x

Step-by-step explanation:

Sum of 2x and 8x means the addition of 2x and 8x

Written as 2x + 8x= 10x

Final answer:

The probability that Ichiro has Art on Friday, given that he has already had Library on Monday and the subjects are assigned randomly, is 1/6 or approximately 16.67%.

Explanation:

The subject of this question is Probability. Ichiro has Library on Monday, and since he cannot have the same special subject more than once in a week, there are six subjects left to schedule from Tuesday to Friday. The special subjects are considered to be assigned randomly.

To determine the probability that Ichiro has Art on Friday, we need to consider there are four days left in the school week (Tuesday to Friday) after Monday. Since the subjects are assigned randomly, each of the remaining subjects has an equal chance of being assigned to any day. By the time we get to Friday, there will be only one subject left unassigned, which has a 1 out of 6 chance of being Art, as the remaining subjects are randomly assigned to the days preceding.

The probability that Ichiro has Art on Friday is therefore 1/6, or approximately 16.67%

Polygons are closed, two-dimensional shapes with straight, fully connected sides.  Figure A, Figure B, Figure C are polygons.

To determine which figures are polygons, we must understand that a polygon is a closed, two-dimensional shape with straight sides that are fully connected at each endpoint.

There should be at least two or more straight sides in a polygon.

Figure A: It is a polygon as it has more than two sides and is closed.

Figure B: It is also a polygon as it has 6 sides and angles and is also closed in shape.

Figure C: It is not a polygon as it does not have straight line more than two, it is closed but it contains curved line.

Figure D: It is polygon as it contains straight lines and is closed.

Answer:

4

Step-by-step explanation:

Rate of change = Slope (if Sidelength = x, and perimeter= y)

(1,4) and (2,8) are point (if it was a line)

Use the slope formula...

(8-4)/(2-1)=

4/1=

4

Answer:

w = 4

Step-by-step explanation:

Since the figure is a parallelogram, we know that opposite sides must be equivalent. That means that JK = HI. So w + 29 must equal 9w - 3.

Once the problem is set up, it looks like: w + 29 = 9w -3.

Now you have to try to get the variables on one side. To do that, subtract 29 from both sides: w = 9w - 32.

Now subtract 9w from both sides: -8w = -32

Divide both sides by -1 to make them positive: 8w = 32

And divide both sides by 8 to find the value of w: w = 4

Hope this helps!

Answer:

I think in a function of f(x) P is also another variable like P is the price then Q is the quantity.

Step-by-step explanation:

Answer:

i think the answer is x = -7/12 or in decimal form x = -0.583, the 3 is repeating.

Step-by-step explanation:

Answer:

Part 1) [tex]y=3\ units[/tex]

Part 2) The length of the hypotenuse is 6 units

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

[tex]sin(60^o)=\frac{y}{2\sqrt{3}}[/tex] ----> by SOH (opposite side divided by the hypotenuse)

solve for y

[tex]y=sin(60^o)2\sqrt{3}[/tex]

Remember that

[tex]sin(60^o)=\frac{\sqrt{3}}{2}[/tex]

substitute

[tex]y=(\frac{\sqrt{3}}{2})2\sqrt{3}[/tex]

[tex]y=3\ units[/tex]

Part 2)

Let

h ----> the length of the hypotenuse

we know that

In the right triangle of the figure

[tex]sin(45^o)=\frac{3\sqrt{2}}{h}[/tex] ----> by SOH (opposite side divided by the hypotenuse)

[tex]h=\frac{3\sqrt{2}}{sin(45^o)}[/tex]

Remember that

[tex]sin(45^o)=\frac{\sqrt{2}}{2}[/tex]

substitute

[tex]h=3\sqrt{2}:\frac{\sqrt{2}}{2}[/tex]

[tex]h=6\ units[/tex]

[tex]Tan^2x= \frac{C -A}{(B-C)}[/tex]

Step-by-step explanation:

Here we have  , Acos²theta + Bsin²theta = C or , [tex]Acos^2theta + Bsin^2theta = C[/tex]

Let theta = x , So  [tex]Acos^2x + Bsin^2x = C[/tex] . Let's solve it further

⇒  [tex]Acos^2x + Bsin^2x = C[/tex]

⇒  [tex]\frac{Acos^2x}{cos^2x} + \frac{Bsin^2x}{cos^2x} = \frac{C}{cos^2x}[/tex]

⇒  [tex]A + B(\frac{sin^2x}{cos^2x}) = C\frac{1}{cos^2x}[/tex]            { [tex]\frac{sin^2x}{cos^2x} = Tan^2x , \frac{1}{cos^2x} = sec^2x[/tex]  }

⇒  [tex]A + B(Tan^2x) = C(sec^2x)[/tex]     {  [tex]sec^2x=1+Tan^2x[/tex]  }

⇒  [tex]A + B(Tan^2x) = C( 1+Tan^2x )[/tex]

⇒  [tex]A + B(Tan^2x) = C+C(Tan^2x )[/tex]

⇒  [tex]B(Tan^2x)-C(Tan^2x ) = C -A[/tex]

⇒  [tex](B-C)(Tan^2x)= C -A[/tex]

⇒  [tex]Tan^2x= \frac{C -A}{(B-C)}[/tex]

Therefore ,  [tex]Tan^2x= \frac{C -A}{(B-C)}[/tex] .

Answer:

W = 77

L = 98

Step-by-step explanation:

Question a:

Area of a rectangular field = 7392

Length L = 96

Width w = ?

Area of a rectangle = L x W

7392 = 96 x W

Divide both sides by 96

7392/96 = 96/96 x w

77 = w

W = 77

Question b:

Perimeter of a rectangular painting = 372

Width = 88

Length = ?

Perimeter of a rectangle =

2(L + w)

372 = 2(L + 88)

Distribute 2 into (L + 88)

We have

372 = 2 x L + 2 x 88

372 = 2L + 176

Subtract 176 from both sides

372 - 176 = 2L + 176 - 176

196 = 2L

Divide both sides by 2

196/2 = 2L/2

98 = L

L = 98

Slope is 20/3 or 6.67

Step-by-step explanation:

⇒ m = (80 - 40)/(12 - 6)

       = 40/6 = 20/3 or 6.67

Solution:

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

The increasing function is given as:

[tex]y = a(1+r)^t[/tex]

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

[tex]r = 80 \5 = \frac{80}{100} = 0.8[/tex]

Determine how many will be in 5 hours

Substitute t = 5

[tex]y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96[/tex]

y = 189

Thus, there are 189 bacteria in 5 hours

Determine how many will be in 1 day ?

1 day = 24 hours

Substitute t = 24

[tex]y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588[/tex]

Thus, there are 13382588 bacteria in 1 day

Determine how many will be in 1 week

1 week = 168

Substitute t = 168

[tex]y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}[/tex]

Thus there are [tex]10(1.8)^{168}[/tex] bacteria in 1 week

Answer:30

Step-by-step explanation:

100-70

Answer:

x = 9   y = 27

Step-by-step explanation:

Since the two polygons are similar, we know that they are proportionate to each other. If we divide the values of corresponding sides:

16 ÷ 12 = 1 ¹/₃

32 ÷ 24 = 1 ¹/₃

We now know that the figure on the left is 1 ¹/₃ times the figure on the right. With this information, we can figure out the measurements of the two sides and then find the values of x and y.

6 · 1 ¹/₃ = 8

21 · 1 ¹/₃ = 28

Now that we know the values of each side, we can plug our equations in to find the values of x and y.

x - 1 = 8

x = 9

y + 1 = 28

y = 27

~Hope this helps!~

Answer:

its d (0,0)

Step-by-step explanation:

just figured it out.