A builder is using the drawing below to build a house. If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?

Answer:

x: -16

y: 4

Step-by-step explanation:

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

[tex]x+2=xr[/tex]

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

[tex]x+3=xr^2[/tex]

Solve for x. From the second term, we can divide both sides by x:

[tex]\displaystyle r=\frac{x+2}{x}[/tex]

Substitute this into the third equation:

[tex]\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2[/tex]

Square:

[tex]\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)[/tex]

Simplify:

[tex]\displaystyle x+3=\frac{(x+2)^2}{x}[/tex]

We can multiply both sides by x:

[tex]x(x+3)=(x+2)^2[/tex]

Expand:

[tex]x^2+3x=x^2+4x+4[/tex]

Isolate the x:

[tex]-x=4[/tex]

Hence, our first term is:

[tex]x=-4[/tex]

Then our common ratio r is:

[tex]\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}[/tex]

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

Answer:

$12

Step-by-step explanation:

Rise/Run

5/4

You go to the point farthest to the left and count up. This will be your Rise. Then you count over to the point on the right. This will be your Run.

Answer:

The pdf wont work

Step-by-step explanation:

cant help

Answer:

Cost is G for t hours =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]

Step-by-step explanation:

According to question parking garage takes

5$ for 0 to 1hr

10$ for 0 to 2hr and

12$ for 0 to 24hr

Let t be the time for which car is parked in garage and the total cost is G then

G =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]  

therefore cost is G =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]

The cost of parking a car for 5 hours is required.

Cost of 5 hours will be $25.

The cost of parking for each hour = $5

The cost of parking for entire day = $120

Let [tex]t[/tex] be the number of hours

[tex]G[/tex] be the total cost.

The function will be

[tex]G(t)=5t[/tex]

The cost at 5 hours will be

[tex]G(5)=5\times 5=25[/tex]

So, cost of 5 hours will be $25.

Learn more:

https://brainly.com/question/22136086

Answer:

the answer its 49

Step-by-step explanation:

simple math just subtract 90-41 and you will get 49

Answer:

70/x

Step-by-step explanation:

Answer:

136.86 or 137

Step-by-step explanation:

21÷3x10+66.86

here's what I did...

as simplified its: 137

Answer:

5 pounds = $2.49

1 pound = $2.49 ÷ 5 = $0.50 (nearest hundredth)

Answer: $0.50/pound

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

c²=b²+a²=100

so

c=10

jjthj

The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.

The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.

Therefore,

y = mx + b

where

Hence,

3y = -2x + 15

y = -2 / 3 x + 5

For line to be perpendicular it must follow the following rules;

m₁m₂ = -1

m₁(-2 / 3) = -1

-2m₁ = -3

m₁ = 3 / 2

Therefore, the equation can be found as follows:

3 = 3 / 2(1) + b

3 = 3 / 2 + b

b = 3 - 3 / 2

b = 6 - 3 / 2

b = 3 / 2

Hence,

y = 3 / 2x + 3 / 2

learn more on equation of a line here: https://brainly.com/question/21511618

#SPJ2

Answer:

The answer is 12.

Step-by-step explanation:

If you multiply 18 by 50, you would get how long the trip is, which is 900 miles. Then, divide 900 by 75, you would then get the answer of 12. The trip would take 12 hours at 75 mph.

Answer:

4x-3

hope this helps

Answer:

-30m^11n^5

Step-by-step explanation:

the length of a rectangle is width times length (or base times height).

5m^7n^3 times -6m^4n^2 = -30m^11n^5

I hope this helped, please give brainliest if this is correct! Thank you!

Answer:

58°

Step-by-step explanation:

65+57+x=180 [SUM OF INTERIOR ANGLE OF TRIANGLE]

x=180-57-65

x=58°

Answer:

1609.8

Step-by-step explanation:

Answer:

1609.34

Step-by-step explanation:

1 meter = 3.28 feet

1 mile = 5280 feet

Answer:

The answer is y=4x-5

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

y = –4x + 5

y = 4x – 5

2y = 8x – 10

–2y = –8x – 10

–2y = –8x – 10

Answer:

11 or 22 would be one of your answer i believe it is 11 though

Step-by-step explanation:

mark me brainly have an amazing day

sparkles and love

☆*: .｡. o(≧▽≦)o .｡.:*☆

Answer:

the answers are the x and the star (or just B and C)

Step-by-step explanation:

How do I know? I just know...

JK

Rotational semetry is if one shape looks the same, even fliped in a sort of way.

Answer:

5 cm

Step-by-step explanation:

Area= 1/2 base×altitude

let base be x cm hence altitude = x+7 cm

30 = 1/2 (x) (x+7)

60= x^2 + 7x

x = 5 or - 12

but measurements can't be in negative form hence -12 is discarded. Thus x= 5 cm

x= base hence base = 5cm

Answer:

base = 5 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the altitude )

let base be b then h = b + 7

Given A = 30, then

[tex]\frac{1}{2}[/tex]b(b + 7) = 30 ( multiply both sides by 2 to clear the fraction )

b(b + 7) = 60 ← distribute left side

b² + 7 = 60 ( subtract 60 from both sides )

b² + 7 - 60 = 0 ← in standard form

(b + 12)(b - 5) = 0 ← in factored form

Equate each factor to zero and solve for b

b + 12 = 0 ⇒ b = - 12

b - 5 = 0 ⇒ b = 5

However, b > 0, thus b = 5

That is the base is 5 cm

Answer:

p=13

Step-by-step explanation:

Answer:

Option B: $20x + $30 < $170 is the correct answer.

Step-by-step explanation:

Given that:

Service fee of Tina's business = $30

Per day charges = $20

Number of days =  x

Customer's budget = less than $170

According to given statement;

20x + 30 < 170

Hence,

Option B: $20x + $30 < $170 is the correct answer.

Answer:

83

Step-by-step explanation:

you go up so it is positive. it's up 83 so the number is 83.

Step-by-step explanation: The keyword is up. Since we're talking about integers and the keyword is up, the number is positive.

Therefore, the answer is 83, or say it like this, positive 83.

For example: Start at 0. Then go up by 83. (That's why there is a number line.

Answer:

I need more clarification for anythng else, this is the best i can do

Step-by-step explanation:

Answer:

what kind of question is that lol

Answer:

the same as the others

you dont know the first two  im not smart srry

Step-by-step explanation:

C. -4/3

[tex]slope = \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )} \\ = \frac{( - 6 - 2)}{(0 -( - 6)} \\ = \frac{ - 8}{ 6} \\ = - \frac{4}{3} [/tex]

Answer:

Q1: B. UHWXUQV

Q2: None of these answers equal 12 so I'll just tell you the answers for all of them in case you mistyped.

a. 66

b. 82

c. 120

d. 109

Im assuming you meant 120. If so, your answer is c.

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

Let us solve the question

∵ f(x) = x + 4 if x < 5 ⇒ First part

→ That means if x less then 5 we will use this part of f(x)

∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part

→ That means if x = 5 or greater than 5 and less than 7, we will use

   this part of f(x)

∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part

→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,

   we will use this part of f(x)

a. The value of f(0)

∵ x = 0

∵ 0 < 5

→ That means we will use the first part of f(x)

∵ f(x) = x + 4

∴ f(0) = 0 + 4

∴ f(0) = 4

b. The value of f(6)

∵ x = 6

∵ 6 is between 5 and 7

→ That means we will use the second part of f(x)

∵ f(x) = 8

→ It means the value of f(x) is 8 for any values of x from 5 to less than 7

∴ f(6) = 8