A scale model of a rectangular building lot measures 7feet by 5 feet. If the actual house will be built using a scale factor of 12 what is the area of the actual building lot

Answers

Answer 1
Actual area of the rectangular building = 5040 feet²
Step-by-step explanation:
Length of the rectangular building = 7 feet
Width of the rectangular building = 5 feet
Now, The building is made with a scale factor of 12
So, Actual length of the rectangular building = 84 feet
Actual width of the rectangular building = 60 feet
Now, Actual area of the rectangular building = Length × Width
⇒ Actual area of the rectangular building = 84 × 60
⇒ Actual area of the rectangular building = 5040 feet²

Related Questions

Find the area of the rectangle 2 1/4 1 1/2

Answers

Answer:

3 3/8

I converted the fractions in to decimals, multiplied them and then converted the decimal into a fraction.



z^m-n (z^m+ z^m+n + z^n)

Answers

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

Mr. Kramer bought his daughter a kitten for her birthday, so now he needs to buy cat food. First, he gets a 20-pound bag of dry cat food. Then, he finds a good deal on 3-ounce cans of wet cat food, so he buys 48 of them. How many pounds of cat food does Mr. Kramer get in all?

Answers

Answer: 29 lbs

Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.

The required pounds of cat food Mr. Kramer get in all is 9.

given that,

First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce

Thus, the required pounds of cat food Mr. Kramer gets in all is 9.

Learn more about arithmetic here:

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"Death Valley Hike"
A hiker in Death Valley begins the climb out of the valley from 150 feet below sea level. 5
minutes later, the hiker is 87.5 feet below sea level.
a) Write an equation that models this situation.
b) What is the y-intercept and what does it represent?
c) What is the x-intercept and what does it represent?
d) What is the slope and what does it represent?
e) What is the hiker's distance below sea level after 10 minutes?

Answers

I would go with Either E or A

Answer:

I'm pretty sure E

Step-by-step explanation:

think about it he traveled 70 feet in 5 minutes so he would still be below sea level

According to Newton's Second Law, if force equals 17 N and acceleration equals 8 m/s2, what is the mass in kilograms?
Answer as a number, rounded to the nearest thousandth?

Answers

Answer:

2.13kg

Step-by-step explanation:

fnet=ma

17=m(8)

17÷8 =m

2.13=m

Answer:

The mass is 2¹/₈, or 2.125, kg

Step-by-step explanation:

We know that force is equal to mass times acceleration, so given a force of 17 newtons and an acceleration of 8m/s², we can say:

[tex]f = ma\\m = f/a\\m = \frac{17\ N}{8\ m/s^2}\\m = \frac{17\ kg\times m/s^2}{8\ m/s^2}\\m = 17/8\ kg\\m = 2.125 kg[/tex]

giving us a mass of 2¹/₈, or 2.125 kg.

What is the area of the base of the prism?

Answers

Answer:

your answer will be 6cm^2

Step-by-step explanation:

hope it helps you

have a great day

pls answer any that you can!!!

Answers

Answer:

12, 45, 1.8, -9, 18

Step-by-step explanation:

up up down down left right left right  b a start

A bank loaned out $19,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received i. 1 year totaled $2000, how much was loaned at 7%

Answers

Answer:

$28571.43 was loaned out.

Step-by-step explanation:

2000 x 100 / 7=28571.43

Answer:

$28571.43 was loaned.

this is because

2000 x 100 / 7

=28571.43

1. Find the slope of the line in the graph

Answers

The slope is 2 please mark brainliest

Can someone help me with this question pls

Answers

Answer:1/6*1/6*1/6=1/216

Step-by-step explanation:

What is the ratio as a fraction 9 and 6

Answers

Answer:

9/15 will become 3/5 and 6/15 will become 2/5.

1/3 would be the answer I think.

You are sending a package in the mail. The box is a cube
measuring 14 inches on all sides. How many cubic inches
is the package?

Answers

Answer: 2744

:)

Hope it’s right

The volume of a cube with a side length of 14 inches is 2744 cubic inches.

Side of the cube = 14 inches

What is the volume of a cube?

The volume of a cube with side length a is .

So, the volume of a cube with a side length of 14=14³

The volume of a cube with a side length of 14=2744 cubic inches.

Hence, the volume of a cube with a side length of 14 inches is 2744 cubic inches.

To get more about cubes visit:

https://brainly.com/question/1972490

Nathan inherited $100,000 from a wealthy uncle and invested the money in an account that earns 4% interest compounded annually.
How much interest will this money earn if Nathan leaves it in the account for 10 years?

Answers

40,000 is how much he’ll earn from the investment

Which equation has a solution of 4? Select all that apply. A 12x = 3 C10 + x = 14 B 6x = 24 DX-4 = 8​

Answers

Answer:

C and B

Step-by-step explanation:

A. 12x = 3, x =1/4

C. 10 + x = 14, x = 4

B. 6x = 24, x =4

D. x -4 = 8, x =12

Only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
A
12x = 3

Simplifying the above expression,
12x = 3
x = 3 / 12
x = 1 / 4

Similarly simplifying all the expressions gives,
B. x = 4
C. x = 4
D. x = 12

Thus, only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.

Learn more about simplification here:

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11 dived by 2=
Long divination pls help

Answers

Answer:

11/2 is 5 1/2 this is which is 5 remainer 1 if you are a lower grade. If not then the complete form is 5.5

Step-by-step explanation:

The first term of an arithmetic sequence is -5, and the tenth term is 13.

Find the common difference.

2
1.8
8/9

Answers

Answer:

Step-by-step explanation:

Let d be the common difference.

a₁₀ = a₁ + (10-1)d

13 = -5 + 9d

d = 2

Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?M

Answers

Answer:

The total number of pencils that Mr. Moretti gives to his is 162.

Step-by-step explanation:

He puts 3 mechanincal pencils in each bag.

In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.

So in each bag, 3 + 6 = 9 pencils.

What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?

18 students, and each gets 9 pencils.

18*9 = 162

The total number of pencils that Mr. Moretti gives to his is 162.

Answer:

162 pencils

Step-by-step explanation:

i did the i ready lesson!

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?

Answers

Answer:

170

Step-by-step explanation:

Charles invested $15,000 in stocks and bonds. He made a 12% profit on his stock investments and a 5% profit on his bond investments. If Charles's combined profits on both types of investments were $1,450, how much did he invest in stocks?​

Answers

Answer:When you leave the interest in your

account or reinvest the money you earn on your

investments, the money you earn starts to earn

money too. Over time, the magic of

compounding works, allowing your money to

grow with dramatic results. The more time you

have to save, the less money you need to save

because of compounding. And the longer you

wait to start saving, the more you have to spend

to reach your goal. For example, let’s assume

that Maria’s savings grow by 5% a year. If she

starts to save $243 a month now, it will cost her

$58,320 to have $100,000 in twenty years. If

she waits 10 years to start saving, she will have to

save $644 a month for 10 years, and it will cost

her $77,280 to reach $100,000 in twenty years.

Step-by-step explanation:Hope this helps!!!!

Answer:

$10,000 invested into stocks

Step-by-step explanation:

whats the answer a b c and d?

Answers

Answer:

VC & WC

Step-by-step explanation:

It's going to be the sides opposite the equal angles.

Christina built a small hot air balloon and recorded the distance it traveler (v) during the first 4 seconds after starting (s)

Which of the following equations representd the relationship between the distance traveled and the elpsed time?

A: v=1.2s
B: s=1.2v
C:v=1.2+s
D:s=1.2+v

Table is attatched​

Answers

Answer    "v = 1.2s"

Step-by-step explanation: because 1.2 is 1*1.2, 2.4 is 2*1.2 and so on..

The answer is A v=1.2s

A fair cube has 2 blue sides, 2 red sides, and 2 green sides.
What is the probability of rolling a blue or red side?

Answers

4/6 or 2/3. All you need to do is add the amount of blue and red sides from the cube and divide it by the total number of sides on a cube.

You can also say 66%

Hope this helps!! :)

A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours.

Required:
What are the mean, the standard deviation, and the variance of an employee's total weekly salary?

Answers

Solution :

Let :

X = number of overtime hours

S = total weekly salary

S = [tex]$12 \times 40 + 18 \times X$[/tex]

S = 480 + 18X

E(S) = [tex]$480 + 18 \times E(X)$[/tex]

[tex]$E(S) = 480 + 18 \times 15$[/tex]

        = 750

Mean of S = 750

Var (S) = [tex]$18^2 \times Var(X)$[/tex]

Var(S) = [tex]$18^2 \times 4^2$[/tex]

          = 5184

Variance of S = 5184

The standard deviation equals square root of 5184 = 72

Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).

Answers

Answer:

18 km/h

Step-by-step explanation:

Let the speed of Baba Yaga is x

The speed with tailwind: x + 2The speed with headwind: x - 2

The distance to Bald Mountain:

6(x + 2)

The distance she actually travelled is less by 40 km:

6x + 12 - 40 = 6x - 28

The time she spent:

(6x - 28)/(x+2) + (6x - 28)/(x -2) = 9

Solve for x to find the speed:

((6x + 12) - 40)/(x + 2) + ((6x - 12) - 16)/(x - 2) = 96 - 40/(x + 2) + 6 - 16/(x - 2) = 940/(x + 2) + 16/(x - 2) = 340(x - 2) + 16(x + 2) = 3(x+2)(x - 2)40x - 80 + 16x + 32 = 3x² - 123x² - 56x + 36 = 0

Solving the quadratic equation we get:

x = 18 km/h(x = 2/3 discounted as not realistic)

PLEASE HELP
A family originally bought a home for $712,980. Now, a few years later, the home is
worth $1,180,627.70. What was the percent of increase in its value? (Round your answer to
the nearest whole number.)

Answers

Answer:

86

Step-by-step explanation:

It’s worth 13 points thank you!
:)

Answers

Answer: the answer is the 3rd bubble:)

Step-by-step explanation:

There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they
do not use the swimming pool?

Answers

Answer:

1/13

Step-by-step explanation:

there are 10 people that use the gym and track and 10 is 1/13 of 130

A bouncy ball is dropped such that the height of its first bounce is 6.75
feet and each successive bounce is 68% of the previous bounce's
height. What would be the height of the 6th bounce of the ball? Round
to the nearest tenth (if necessary).

Answers

Step-by-step explanation:

0,4 ft

It can be convinient to let a spreedsheet compute the values for you

Here we have written an expiliclit formula for the height of the 9th bounce

H= 5.5 x 0.64'(n-1)

We have written the formuka this way beacause we are given the height of the firrrst bounce not the satrting height so as you see each bounce multiples the height by a factor of 0,64 then the 7th bounce will be

H= 5.5 x 0.64'6 = 0.378 = 0,4 feet

Hope it helps

Answer: 1

Step-by-step explanation:

HELP ASAP

The radius of a quarter circle is 1.4 millimeters. What is the quarter circle's area?

Answers

Answer:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

1.5333 is the answer to this question I just did the math to check

What is the solution to the following equation? X +(-13) = -5. A. X= 18 B. X = 8 C. x -18 D. X = -8​

Answers

x + (-13) = -5

x - 13 = -5

x = -5 + 13

x = 8

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