the dimensions of a porch are 16 feet long by 12 feet wide use the scale 1 inch=4 feet what is the width and length in inches

Answers

Answer 1
Hi there!

Since the scale is 1 in = 4 ft, we divide both the length and width by 4 to get the new length and width with the scale factor applied. 

16 / 4 = 4
12 / 4 = 3

So, the
length = 4
width = 3

Hope this helps!

Related Questions

Write a mixed number for p so that 3 1/4 x p is more than 3 1/4

Answers

p = 1 1/100

The value of p just needs to be greater than 1. It could be 43 million (and 2/7, since you want a mixed number).

They could mow the lawn in how many hours if they work together

Answers

As Jack can mow the yard 7/3 Times faster than Marilyn , Jack can mow 70% of the yard while Marilyn can mow 30% of the yard in the same time Jack would mow 70%.

Jack can mow 10% of the yard in 0.3 hours
Marilyn can mow 10% of the yard in 0.7 hours

Jack will mow 70% of the yard : 0.3 hours ( 10% ) × 7
= 2.1 hours . Jack can mow 70% of the yard in 2.1 hours

Marilyn will mow 30% of the yard : 0.7 hours ( 10%) × 3 = 2.1 hours. Marilyn can mow 30% of the yard in 2.1 hours.

John mowwing for 2.1 hours + Marilyn mowwing for 2.1 hours = 100% of the yard in 4.2 hours.

Awnser : 4.2 hours

Hello!

First, figure out their mowing rates per hour.

Jack's is [tex] \frac{1}{3} [/tex] since he mows 1 lawn in 3 hours; Marilyn's is [tex] \frac{1}{7} [/tex] since she mows 1 lawn in 7 hours.

We now know that their combined rate of mowing 1 lawn is [tex] \frac{1}{3} + \frac{1}{7} [/tex]. Use the variable t for time and multiply it by their combined rate to figure out their combined time of mowing 1 lawn.

[tex]( \frac{1}{3} + \frac{1}{7})t =1[/tex]

[tex]( \frac{7}{21} + \frac{3}{21} )t=1[/tex]

[tex] \frac{10}{21} t =1[/tex]

[tex]t= \frac{21}{10} [/tex]

Answer:
Jack and Marilyn could mow the lawn in [tex] \frac{21}{10} [/tex] or 2.1 hours if they work together.

True Or False
The term software refers to everything from the machine’s operating system (OS) to the individual programs and applications you use to write, listen, speak, sing, or learn.

Answers

Yes I believe it does refer to os

△ABC is reflected to form​​ ​ △A′B′C′ ​.

The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .

Which reflection results in the transformation of ​ △ABC ​​ to ​ △A′B′C′ ​​?

A)reflection across the x-axis

B) reflection across the y-axis

C)reflection across y = x

D)reflection across y=−x

Answers

C, Reflection across Y = X

Answer:

The correct option is A.

Step-by-step explanation:

The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .

The relation between coordinates of preimage and image is defined as

[tex](x,y)\rightarrow (x,-y)[/tex]

Sign of y-coordinate changes but x-coordinate remains the same. It is possible it the figure is reflection across the x-axis.

Therefore the correct option is A.

your water hose is leaking at a rate of 0.25 cups per hour. how many gallons did you hose leak in a full 24 hour day

Answers

I believe that the answer is 6 balloons.

Solution:

we are given that

water hose is leaking at a rate of 0.25 cups per hour.

We have been asked to find that

how many gallons did you hose leak in a full 24 hour day.

Since water hose is leaking at a rate of 0.25 cups per hour.

It mean the tank will leak by [tex] 0.25*4=1 \ Cup [/tex] in 4 Hours.

So in 24 Hours the tank will leak by [tex] \frac{24}{4}*1=6*1=6 \ Cups [/tex] .

As we know that 1 Gallon=16 Cups.

It mean in 24 Hours the tank leaked by [tex] \frac{1}{16}*6= 0.375 \ Gallon [/tex]

a leatherback turtle swims at a constant rate of 2.5 kilometers per hour, at its constant rate of speed how long will it take for a leatherback turtle to swim 10 kilometers?

Answers

Hello there!

So, if this turtle is only going 2.5 miles per hour. This would mean that (EACH) hour, this turtle only arrived 2.5 miles. So, we do,

[tex]\boxed{10.0 \left \{ {{2.5+2.5=5.0} \atop {2.5+2.5=5.0}} \right.}[/tex]

We would have to count how many ("2.5's" they are above.)

We count only 4.

I would take this turtle 4 miles to swim 10 kilometers.

an athlete is training to run a marathon. she plans to run 2 miles the first week. she increases the distance by 8% each week. whixh function models how far she will run in the nth week

Answers

This is the theory of exponential growth. Given that the an athlete is training to run marathon and she plans to run 2 miles in the first week and increase the distance by 8%. The function modeling how far she will run the nth week will be given by
nth=ae^(bx)
nth=2e^(0.08x)
where x is the nth time. 

Calculate the effective rate of interest (to the nearest hundredth percent) of the following Treasury bill. Given: $10,000 Treasury bill, 3.85% for 13 weeks.

Answers

A useful formula for finding the effective rate on discounted notes is
.. (effective rate) = r/(1 -rt)

If we assume a 52-week year, the t = (13 weeks)/(52 weeks) = 1/4.
.. (effective rate) = 0.0385/(1 -0.0385/4) ≈ 0.038874 ≈ 3.89%

During a two week period, Norm worked 85.6 hours. His hourly wage is $6.92. How much did he earn? (Round the answer to the nearest cent)

Answers

its just 85.6 times 6.92 so. 592.35

!Thanks in advance!

One side of a square is 2^3 inches.
What would be the area of the square?
*Solve the equation of 2^3 first*

Answers

Hey there!

First solving the equation 2^3 . . .

To solve 2^3, multiply the number 2 three times:

2 x 2 x 2 = 8

To find area, multiply the two sides . . .

(Since a square has all sides the same length, multiply 8 x 8)

8 x 8 = 64 <-------

The area of the shape is 64 inches.

Hope this helps you.
Have a great day!
i would agree with the person above. i am certain this question was on a quiz i took a while ago and the answer he/she stated was the correct option. hope this helps

the width of a large, rectangular-shaped tree farm is 1.9 kilometers. The length of the farm is 4.4 kilometers. What is the best estimate of the area of the farm ?

Answers

The real answer is 8.36, but I think the estimate would be 8.40

Answer:- The best estimate of the area of the farm is 8 kilometers.


Explanation:-

Given:- Width of the rectangular shaped tree farm= 1.9 kilometers

⇒Estimated width of the farm=2 kilometers [2 is the nearest integer to 1.9]

Length of the rectangular shaped tree farm=4.4 kilometers

⇒Estimated length of the farm=4 kilometers [4 is the nearest integer to 4..4]

To make estimates, we usually round the numbers the nearest integer.


Now, Estimated Area of the Farm= estimated width × estimated length

= 2×4 kilometers = 8 kilometers.

∴the best estimate of the area of the farm =8 kilometers.

An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. the amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.what is the probability that a randomly selected apple will contain between 2.00 and 2.15 ounces?

Answers

That probability is about 20.5%.

Lou Harris is guaranteed a minimum of $275 weekly salary plus 5 1/4% of hs total sales. What are his total sales for a week in which his gross pay was $700

Answers

The sales are $8095.24.

We can set up an equation for this.  Let x be the amount of sales.  5.25% = 5.25/100 = 0.0525.

275+0.0525x=700

Subtract 275 from both sides:
275+0.0525x-275 = 700-275
0.0525x=425

Divide both sides by 0.0525:
0.0525x/0.0525 = 425/0.0525
x = 8095.24

What is 5(7h+3m) equal to?

Answers

first use distributive property
5(7h)=35h
5(3m)=15m
you should then have 35h+15m and since you cannot combine the variables that should be your final answer
5(7h + 3m) - distribute
5(7h) + 5(3m)
35h + 15m

Looking at the waves on an ocean beach, a girl notices that the waves reach the shore at the same time apart. She also notices that the distance between waves looks the same. In science, what do we call the distance between waves? A) amplitude B) frequency C) period D) wavelength

Answers

Answer:

D) Wavelength

Step-by-step explanation:

The correct answer is wavelength. Wavelength is defined as the distance between two identical points on the waves.

Amplitude is the maximum/minimum height reached by the wave. Frequency is defined as the number of waves passing through a point in 1 sec. Period or Time period is the reciprocal of Frequency and it represents time taken for the wave to complete its one cycle.

Therefore, from the given options, Wavelength is the best possible answer.

Answer: THE ANSWER IS D)WAVELENGTH

Step-by-step explanation:

Trigonometric Identities and Applications?

Answers

21)

[tex]\bf 8cos^2(\theta )-3cos(\theta )=0\implies \stackrel{common~factor}{cos(\theta )}[8cos(\theta )-3]=0\\\\ -------------------------------\\\\ cos(\theta )=0\implies \measuredangle \theta =cos^{-1}(0)\implies \measuredangle \theta =90^o\\\\ -------------------------------\\\\ 8cos(\theta )-3=0\implies 8cos(\theta )=3\implies cos(\theta )=\cfrac{3}{8} \\\\\\ \measuredangle \theta =cos^{-1}\left( \cfrac{3}{8}\right)[/tex]

22)

[tex]\bf \begin{cases} y=cos(2x)\\ y=cos^2(x)-1 \end{cases}\implies \stackrel{intersection~at}{cos(2x)=cos^2(x)-1} \\\\\\ 2cos^2(x)-1=cos^2(x)-1\implies 2cos^2(x)-1-cos^2(x)+1=0 \\\\\\ 2cos^2(x)-cos^2(x)=0\implies cos^2(x)=0\implies cos(x)=0 \\\\\\ \measuredangle \theta =cos^{-1}(0)\implies \measuredangle \theta =180^o~~,~~270^o[/tex]
Final answer:

Trigonometric identities are equations that hold true for all permissible values of the involved variables. They are fundamental to many areas of mathematics and have applications in various fields such as physics and engineering.

Explanation:

Trigonometric identities are equations that are true for all values of the variables where both sides of the equation are defined. They are fundamental to the study of mathematics, particularly in geometry, calculus and physics.

Some of the basic trigonometric identities include:

Reciprocal identities:sin = 1/csc θcos = 1/sec θtan = 1/cot θPythagorean identities:sin² θ + cos² θ = 11 + tan² θ = sec² θ1 + cot² θ = csc² θ...

Trigonometric identities are widely used in solving trigonometric equations and proving other identities, and in many fields such as engineering, physics and computer science.

Learn more about Trigonometric Identities here:

https://brainly.com/question/3785172

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The center of a circle is located at (5, −5) . The radius of the circle is 3.



What is the equation of the circle in general form?


​ x2+y2−10x+10y+41=0 ​

​ x2+y2+10x−10y+47=0 ​

​ x2+y2+10x−10y+41=0 ​

​ x2+y2−10x+10y+47=0 ​

Answers

The equation of a circle is:
[tex](x - xo) {}^{2} + (y - yo) {}^{2} = r {}^{2} [/tex]
(x-5)²+(y+5)²=3²
x²-10x+25+y²+10y+25=9
x²+y²-10x+10y+41=0

Answer:

I did this twice to help anyone who might have missed from the same question I answered earlier. Have a nice day! Stay safe! And this is really good for k12 students!

Step-by-step explanation:

A store sells two kinds of candles, scented and unscented. The scented burns 1/12 inches in 20 minutes and the unscented burns 1/6 inches in 30 minutes. Which type of candle burns in 1 hour and what is its burn rate?

Answers

33919393 answers and that what hahgjjdkvk

Given :The scented burns [tex] \frac{1}{12} [/tex] inches in 20 minutes

The scented candle will burn [tex] \frac{1}{12} times 3 =\frac{1}{4} [/tex] inches in one hour.

The unscented candle burns [tex] \frac{1}{6} [/tex] inches in 30 minutes

In one hour it will burn [tex] \frac{1}{6} times 2=\frac{1}{3} [/tex] inches .

Burn rate of scented is [tex] \frac{1}{4} [/tex] inches per hour.

Burn rate of unscented is [tex] \frac{1}{3} [/tex] inches per hour.

Question 10 an urn contains two white marbles and one black marble. a marble is drawn from the urn without replacement and put aside without my seeing it. then a second marble is drawn, and it is white. what is the probability that the unknown removed marble is white, and what is the probability that it is black?

Answers

Final answer:

The probability that the unknown removed marble is white is 1/2, and the probability that it is black is also 1/2. This is calculated by considering the outcomes of the draws, their probabilities, and the fact that drawing a white marble after another without replacement affects the outcomes.

Explanation:

The question involves calculating conditional probabilities in a scenario where marbles are drawn from an urn without replacement. Initially, the urn contains two white marbles and one black marble. A marble is drawn and set aside (its color unknown), and then a second marble is drawn, which is observed to be white. We are asked to find the probability that the first marble drawn was white, and the probability it was black.

To solve this, we consider the two possible scenarios for the first draw: drawing a white marble or drawing a black marble, and then drawing a white marble in the second draw. The probability of drawing white then another white (WW) equals, the probability of drawing a white marble first (2/3) multiplied by the probability of drawing the second white marble given the first was white (1/2). This gives (2/3)*(1/2) = 1/3. Alternatively, the probability of drawing a black then a white marble (BW) equals the probability of drawing a black marble first (1/3) multiplied by the probability of drawing a white marble given the first was black (2/2) = 1/3, simplifying to (1/3)*(1) = 1/3

To find the probability that the unknown marble is white, we see that both scenarios WW and BW result in drawing a white marble second, so we only need to calculate the probability of the WW scenario over the total probability of drawing a white marble in the second draw. This gives us 1/3 / (1/3 + 1/3) = 1/2. Therefore, the probability that the unknown marble is white is 1/2, and by complement, the probability it is black is also 1/2

find the height of each pyramid square pyramid: volume 297 ft cubed area of the base 81 ft squared

Answers

The height is 11 ft.

The formula for the volume of a right pyramid is V=1/3Bh, where B is the area of the base and h is the height.  Substituting the known information, we have:

297=1/3(81)h
297=27h

Divide both sides by 27:
297/27 = 27h/27
11 = h

I don't know if this is right but I got 0.14

There are 50 dimes in a roll of dimes, 40 nickels in a roll of nickels, and 40 quarters in a roll of quarters. Rob has 12 rolls of coins with a total value of $70.00. He has 3 more rolls of nickels than dimes. How many rolls of each coin does he have?

Answers

5 rolls of quarters, 2 rolls of dimes and, 5 rolls of nickles.

The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at 20 mph requires 28 ft to stop, find the stopping distance for a car traveling at 55 mph

Answers

distance=(28mile/hour*55ft)/20 is 70ft. hope this thanks.

If your expenses are more than your income, then you have a positive net cash flow. Please select the best answer from the choices provided T F

Answers

Answer:

No, it is not a  positive net cash flow. Because they are spending more than they even have which is creating debt.

Step-by-step explanation:


If your expenses are more than your income, then you have a positive net cash flow, which is false.

What is cash flow?

The cash balance of liquid assets coming into and going out of a business is referred to as cash flow. Money spent and money received reflect inflows and outflows, respectively.

The cash flow is the difference between outflow and inflow.

Cash flow = out flow - inflow

If the value of the cash flow is negative that means the expense is more.

If the value of the cash flow is positive that means the income is more.

If your expenses are more than your income, then you have a positive net cash flow, which is false.

More about the cash flow link is given below.

https://brainly.com/question/10714011

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4n less than or equal to 12

Answers

n is less than or equal to 3, just divide f4 from both sides.

How do I solve the y= x/11- 11x

d/dx ( x/11- 11/x)


Answers

[tex]\bf \cfrac{d}{dx}\left[ \cfrac{x}{11}-\cfrac{11}{x} \right]\implies \cfrac{d}{dx}\left[ \cfrac{x}{11} \right]-\cfrac{d}{dx}\left[\cfrac{11}{x} \right] \\\\\\ \cfrac{1}{11}\cdot \cfrac{d}{dx}\left[x \right]-11\cdot \cfrac{d}{dx}\left[\cfrac{1}{x} \right] \implies \cfrac{1}{11}\cdot 1~~-~~11\cdot \cfrac{d}{dx}[x^{-1}] \\\\\\ \cfrac{1}{11}~~-~~11\cdot -x^{-2}\implies \cfrac{1}{11}+\cfrac{11}{x^2} \implies \cfrac{x^2+121}{11x^2}[/tex]

Akira Chang's uncle dies without a will, leaving an estate of $945,000. His heirs consist of a wife and two adult children. His state requires that, in the absence of a will, each child is to receive two-thirds as much as a spouse. How much will his wife receive?

Answers

Let w represent the amount the wife receives.
.. w +2*(2/3*w) = 945,000
.. 7/3w = 945,000
.. w = (3/7)*945,000 = 405,000

The wife will receive $405,000.

which of the following statements are true? check all that apply

Answers

The answer to this is A, C, and D. 

Answer with explanation:

Mean of this data set

[tex]=\frac{\text{sum of all the observation}}{\text{Total number of observation}}\\\\=\frac{30+37+37+41+22+69+45+64+51+22+63+31+64+65+25+51+26+48+28+49}{20}\\\\=43.4[/tex]

Arranging the data set in ascending order

22, 22,25, 26, 28,30,31,37,37,41,45,48,49,51,51,63,64,64,65,69

Median =Middle observation ,if number of terms is odd

and if number of terms is even, divide number of terms by ,2 and then follow the procedure

[tex]=\frac{10^{th term}+11^{th term}}{2}\\\\=\frac{41+45}{2}\\\\=43[/tex]

To find the Outlier

[tex]Q_{1}=\frac{28+30}{2}=29,Q_{3}=\frac{51+63}{2}=57[/tex]

Interquartile range = 57 - 29=28

Data values are approximately equally distributed on both sides of median.

That is, 43-22=21, and ,69 -43=26

So,we can say that there will be no outliers.

Graph will be positively skewed.

Mean > Median

So,mean will be better measure of central tendency because, 43.4-22=21.4, and 69-43.4=25.6

Option A: There are no outliers.

And, Option C: The Mean is good measure of central tendency.

Mark’s father drove the family car 32,143 miles last year. He drove the car 29,675 miles this year.



How many fewer miles did Mark’s father drive the car this year?



A. 2,468 mi


B. 2,578 mi


C. 3,468 mi


D. 3,478 mi

Answers

the answer is a. 2468

Karla is mowing her lawn. She knows 2/5 of the lawn before stopping for a snack. She resumes mowing after her snack and mows another 1/3 of her lawn before stopping. What total fraction of the lawn does Karla mow before lunch?

Answers

we add both fractions
2/5+1/3=6/15+5/15=11/15 she mows before lunch

Karla mows a total of 11/15 of her lawn before lunch after adding the fractions 2/5 and 1/3 with a common denominator of 15.

The student's question has two parts where Karla mows her lawn in fractions, first 2/5 and then another 1/3. To find the total fraction of the lawn that she mows before lunch, these two fractions need to be added. However, since they do not have the same denominator, we first need to find a common denominator to combine these fractions properly.

The least common denominator (LCD) for 5 and 3 is 15. We convert the fractions to have this common denominator:

(2/5) becomes (6/15) after multiplying both the numerator and denominator by 3.(1/3) becomes (5/15) after multiplying both the numerator and denominator by 5.

Now we add the fractions:

(6/15) + (5/15) = (11/15)

Thus, Karla mows a total of 11/15 of her lawn before lunch.

Marlena is making fruit salad she will choose from 6 of the 11 different fruits offered at a fruit stand. How many different fruit salads can she make

Answers

She can make a lot of different fruit salad. one type of fruit per salad, two type per salad, 3 types per salad, even all of them to make one fruit salad. But if I had to answer with a number, then I would say at about 11 at the least

The Correct answer is 462

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