Cheryl is moving to a new house. Her old house is 3 kilometers and 457meters from her new house. How many meters is her old house from her new house.

Answers

Answer 1

Answer:

Her old house is 3000m+457m = 3457m from her new house.

Step-by-step explanation:

Conversion of units problems can always be modeled as a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In the case of a conversion of units problem, the measures are:

- the value in one unit

- the value in another unit

As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.

The problem states that Cheryl's new house is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:

1km - 1000m

3km - xm

x = 1000*3

x = 3000m

Her old house is 3000m+457m = 3457m from her new house.

Related Questions

Two numbers total 53 and have a difference of 25. Find the two numbers.

Answers

Two numbers (x + y) equal (=) 53
and
have a difference (x - y) of (=) 25.

So, x + y = 53 and x - y = 25.

Solve one equation for a variable. We'll solve for x in the first equation.

x + y = 53 Subtract y from both sides
x = 53 - y

Substitute x for (53 - y) in the second equation.

x - y = 25 Substitute (53 - y) in the x spot
53 - y - y = 25 Combine like terms (-y and -y)
53 - 2y = 25 Subtract 53 from both sides
-2y = -28 Divide both sides by -2
y = 14

Now, find x by plugging this y-value (14) into the first equation.

x + y = 53 Substitute y for 14
x + 14 = 53 Subtract 14 from 53
x = 39

Check both of your answers by plugging them into the original equations.

x + y = 53 Plug in your numbers (39 and 14)
39 + 14 = 53 Add
53 = 53

x - y = 25 Plug in your numbers (39 and 14)
39 - 14 = 25 Subtract
25 = 25

So, your answers are x = 39 and y = 14 .

A rectangular swimming pool has a volume capacity of 2160 cubic feet. Water is being added to the pool at a rate of about 20 cubic feet per minute. Determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool.

Answers

Answer:

Step-by-step explanation:

y=mx+b

2160=20x+60.417)

2160= 20x+160.417

2160-160.417=20x+160.417-160.417

1999.583=20x

1999.583/20=20x/20

x= 99.98 min

Total time taken to fill the pool is 100 minutes

Given:

Amount of water already in pool = 1200 gallon

Total capacity of pool = 2160 cubic feet

Rate of water supply = 20 cubic feet per minute

Find:

Total time taken to fill the pool

Computation:

1 cubic feet = 7.5 gallon water

Amount of water already in pool = 1200 / 7.5

Amount of water already in pool = 160 cubic feet

Remain volume = 2160 - 160

Remain volume = 2000 cubic feet

Total time taken to fill the pool = 2000 / 20

Total time taken to fill the pool = 100 minutes

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What is the margin of error for a sample statistic for a population with a standard deviation of 11.3?

Answers

The margin of error for a sample statistic requires the population standard deviation, the desired confidence level, and the sample size. It is found by multiplying the z-score for the confidence level with the standard error, which is the population standard deviation divided by the square root of the sample size. For a 95% confidence interval, the error bound is factored into the sample mean to estimate the population mean.

The margin of error for a sample statistic depends on the level of confidence desired and the sample size. Using the population standard deviation, we can calculate the margin of error by finding the z-score associated with the desired confidence level and multiplying it by the standard error. The standard error is calculated as the population standard deviation (11.3) divided by the square root of the sample size (n).

Based on the example given referencing an error bound for the mean (3.2), a 95% confidence interval could be constructed by adding and subtracting the error bound from the sample mean (15). Therefore, the 95% confidence interval estimate for the population mean would be (11.8, 18.2).

When a sample standard deviation is provided instead of a population standard deviation, and if the sample size is small, the Student's t-distribution should be used instead of the normal distribution.

For a 95% confidence interval, we generally use 1.96 as the z-score for a normal distribution, but this value could change depending on specific confidence levels or other distributions like the t-distribution.

Multiple choice strategy: some students have suggested that if you have to guess on a multiple-choice question, you should always choose
c. carl, the student, wants to investigate this theory. he is able to get a sample of past tests and quizzes from various teachers. in this sample there are 110 multiple-choice questions with four options (a, b, c, d). the distribution of correct answers from this sample is given in the frequency table below. correct answer frequency a 22 b 26 c 38 d 24

Answers

Read the question before you look at the answer.
Come up with the answer in your head before looking at the possible answers, this way the choices given on the test won't throw you off or trick you.
Eliminate answers you know aren't right.
Read all the choices before choosing your answer.
If there is no guessing penalty, always take an educated guess and select an answer.
Don't keep on changing your answer, usually your first choice is the right one, unless you misread the question.
In "All of the above" and "None of the above" choices, if you are certain one of the statements is true don't choose "None of the above" or one of the statements are false don't choose "All of the above".
In a question with an "All of the above" choice, if you see that at least two correct statements, then "All of the above" is probably the answer.
A positive choice is more likely to be true than a negative one.
Usually the correct answer is the choice with the most information.
Students with better study methods and strategies score higher on their exams.Everyone is different, different methods work for different people the following are only suggestions on improving upon your current studying techniques.It is best to review the material right after class when it's still fresh in your memory.Don't try to do all your studying the night before the test. Instead space out your studying, review class materials at least several times a week, focusing on one topic at a time.
Have all of your study material in front of you: lecture notes, course textbooks, study guides and any other relevant material.
Find a comfortable and quiet place to study with good lighting and little distractions
(try avoiding your own bed, it is very tempting to just lie down and take a nap).
Start out by studying the most important information.
Learn the general concepts first, don't worry about learning the details until you have learned the main ideas.
Take notes and write down a summary of the important ideas as you read through your study material.
Take short breaks frequently. Your memory retains the information that you study at the beginning and the end better than what you study in the middle.
Space out your studying, you'll learn more by studying a little every day instead of waiting to cram at the last minute. By studying every day, the material will stay in your long-term memory but if you try to study at the last moment, the material will only reside in your short-term memory that you'll easily forget.
Make sure that you understand the material well, don't just read through the material and try to memorize everything.
If you choose to study in a group, only study with others who are serious about the test.
Test yourself or have someone test you on the material to find out what your weak and strong areas are. You can use the review questions at the end of each chapter or practice tests the teacher may give out as well as other materials.
Listening to relaxing music such as classical or jazz on a low volume can relieve some of the boredom of studying.
Don't study later than the time you usually go to sleep, you may fall asleep or be tempted to go to sleep, instead try studying in the afternoon or early evening. If you are a morning person try studying in the morning.

You swim 121 out of 1,000 meters. How can you write this as a decimal

Answers

121/1000 (divide)
0.121

The number in decimal form will be 0.121 meters.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you swim 121 out of 1,000 meters. The decimal for the number will be written by dividing the number by 1000.

Decinmal form = 121 / 1000

Decimal form = 0.121 meters

Therefore, the decimal form of the number will be 0.121 meters.

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How to solve this? I know how to do the Pythagorean theorem but this only gives 1 side

Answers

a2+b2=c2
c2=10
x2+x2=100
2x=100
x=50
Divide by 2 to get 25.
Get square root of 25
Your answer is 5

a line that intersects the points (-23,-17) and (-13,-7), find the slope, now fill in the missing inputs to the slope-intercept formula -17=1(?)+b or (?)=(-13)+b

Answers

The slope of the line can be calculated using the following formula:
slope = (y2-y1) / (x2-x1)

The given points are (-23,-17) and (-13,-7), therefore:
y2 = -7
y1 = -17
x2 = -13
x1 = -23

Substitute with these values to get the slope as follows:
slope (m) = (-7--17) / (-13--23) = 1

The formula of the slope-intercept is:
y = mx+b where m is the slope and b is the intercept.
Using the point (-23,-17), the formula would be:
-17 = 1(-23) + b
Using the point (-13,-7), the formula would be:
-7 = 1(-13) + b

John throws a rock straight down with speed 12 m/s from the top of a tower. the rock hits the ground after 2.37 s. what is the height of the tower? (air resistance is negligible)

Answers

12*2.37= 28.44

The tower is 28.44 meters tall.

HELP! solve for p p+10/p-7=8/9

Answers

[tex] \frac{P+10}{P-7} [/tex] = [tex] \frac{8}{9}[/tex]

use the cross method solve the equation.

9P+90=8P-56
9P-8P=-56-90
P=-146

Hope this helps.

Last year, there were 12,000 students at a local college. There were 2000 more female students than male students. How many male and female students attended the college?

Answers

There is 7,000 female students, and 5,000 male students. Because, if there was 2,000 more female students then male, you have to find out what two numbers add up to 12,000. (Tip, to make it easier, take away the thousands, like 7+5)

lisha is making headbands using ribbon. she would like to make 12 head bands. Each one requires 15.5 inches of ribbon. She estimates that she will need to buy 160 inches of ribbon is her estimate reasonable? Explain your reasoning and lol I'm not in college i just did that

Answers

No her estimate is to low because if you multiply 15.5 by 12 you get 186

We know that Lisha is making headbands using ribbon and she would like to make 12 head bands. Additionally, each one requires 15.5 inches of ribbon. She estimates that she will need to buy 160 inches.

15.5 * 12 = 186

Her estimate is not reasonable.

186-160 = 26

She still needs 26 more ribbons.

Solve for x.

−5x−4(x−6)=−3

Answers

-5x -(4x-6) = -3 Distribute within parentheses
-5x -4x + 24 = -3 Subtract 24 from both sides, collect like terms
-9x = -27 Divide both sides by -9
x= 3

-5x -(4x-6) = -3

-5x -4x + 24 = -3

-9x = -27

x= 3

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. Which of the following equations could be used to determine the dimensions of the rectangle

Answers

2(x)+2(x-3)=54 is the equation you would use where x is one side

Let x be the longer side of the rectangle

Side B: x-3

Perimeter: 2(l+w)
54"=2(x+x-3)
54"=2(2x-3)
54"=4x-6
54-6=4x
48/4=x
12=x

Therefore the longer side is 12" and the shorter side of the rectangle is (12-3)= 9"

Hope I helped :)

How would I find a given triangle where: A=0.1, B=1 and c=9? Thanks in advance.

C=
a=
b=

Answers

[tex]\bf \textit{Law of sines} \\ \quad \\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\ -------------------------------\\\\ \begin{cases} \measuredangle A=0.1\\ \measuredangle B=1 \end{cases}\quad thus\implies \measuredangle C=\pi -A-B\implies \measuredangle C=\pi -1.1[/tex]

[tex]\bf \cfrac{sin(B)}{b}=\cfrac{sin(C)}{c}\implies \cfrac{sin(1)}{b}=\cfrac{sin(\pi -1.1)}{9} \\\\\\ \boxed{\cfrac{9sin(1)}{sin(\pi -1.1)}=b} \\\\\\ \cfrac{sin(A)}{a}=\cfrac{sin(C)}{c}\implies \cfrac{sin(0.1)}{a}=\cfrac{sin(\pi -1.1)}{9} \\\\\\ \boxed{\cfrac{9sin(0.1)}{sin(\pi -1.1)}=a}[/tex]

make sure your calculator is in Radian mode.

Choose the correct simplification of the expression (−2x + 10y)(4x − 6y).

−8x2 − 52xy + 60y2
−8x2 + 52xy − 60y2
8x2 + 52xy − 60y2
−8x2 + 28xy − 60y2

Answers

(-2x + 10y)(4x - 6y) =
-2x(4x - 6y) + 10y(4x - 6y) =
-8x^2 + 12xy + 40xy - 60y^2 =
-8x^2 + 52xy - 60y^2 <==

(-2x + 10y)(4x - 6y)

Use FOIL.

-2x*4x = -8x^2
10y*-6y = -60y^2
10y*4x = 40xy
-2x*-6y = 12xy

Combine the like terms (the ones that have been bolded).
40xy + 12xy = 52xy

Put all the variables together.
−8x^2 + 52xy − 60y^2

marissa sprinted for 48 yards. how many feet did she sprint.

Answers

She sprinted 144 ft. There are 3 ft. In one yard so take 48 times 3 to get 144

She sprinted 144 feet because if you convert yards to feet using the conversion (0.333*1) then you will get your answer.

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5, and m∠JKL = x − 1. Find the measure of each angle.

Answers

∠DFG and ∠JKL are complementary angles

Measure of each angle

[tex]m<DFG=48\\m<JKL= 42[/tex]

Given :

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So, [tex]m<DFG+m<JKL =90[/tex]

Now replace the expressions and solve for x

[tex]x+5+x-1=90\\2x+4=90\\2x=90-4\\2x=86\\x=43[/tex]

Now replace x with 43 and find out each angle

[tex]m<DFG= x+5\\m<DFG= 43+5=48\\\\m<DFG=48\\m<JKL=x-1=43-1=42[/tex]

[tex]m<DFG=48\\m<JKL= 42[/tex]

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A 20-foot cable hangs from the top of a building that is 50 feet high. if the cable weighs 2 pounds per foot, how much work is done in lifting up the entire cable to the top of the building?

Answers

20*2=40
40*50=2000
2000/60=33.33
about 33 hours by lifting by hand

Final answer:

To find the work done in lifting the entire cable to the top of the building, multiply the weight of the cable by the height of the building.

Explanation:

To calculate the work done in lifting the entire cable to the top of the building, we need to find the weight of the cable. The weight of the cable can be found by multiplying the length of the cable (20 feet) by its weight per foot (2 pounds per foot). Therefore, the weight of the cable is 20 feet × 2 pounds per foot = 40 pounds.

The work done in lifting the cable to the top of the building is equal to the product of the weight of the cable and the height of the building. So, the work done is 40 pounds × 50 feet = 2000 foot-pounds.

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A college freshmen must take a science course, a humanities course and a mathematics course. If she may select any of 6 science courses, any of 4 humanities and any of 4 mathematics courses, how many ways can she arrange her program? Make a tree diagram and list the possibilities.

Answers

I can't make a tree diagram for you, but I can tell you that she can make 96 different arrangements.

How would you define the traformation "dilation"? what happens to a shape when it is dilated? What changes? what stays the same?

Answers

Dilation means a smaller size the shape is the same but what changes is the size

Ordering Least to greatest 2 9/11, 4/5, 2.91, 0.9

Answers

4/5, 0.9, 2 9/11, 2.91

Which of the following is rational

A. 3*pi
B. 2/3+9.26
C. sqrt of 45 + sqrt of 36
D.14.3... + 5.78765239...

Answers

D is rational cause it continues

A sector of area 2pi/3 square inches is formed by a central angle of 45 degrees. What is the radius of the circle?

Answers

Final answer:

Using the formula for the area of a sector, we substitute provided values to find the radius of the circle. Solving the equation, we find the radius to be √6 inches.

Explanation:

The subject of the question is related to geometry and involves understanding the relationship between the area of a sector and the radius of the circle it is part of. The sector is formed by a central angle of 45 degrees and its area is given as 2π/3 square inches.

In order to find the radius of the circle, we can use the formula for the area of a sector, which is (θ/2π) * πr2, where θ is the central angle, π is a mathematical constant, and r is the radius of the circle.

Considering 360 degrees as 2π radians, the angle is 45 * (2π/360) = π/4 radians. Hence substituting the values in the area equation we get; 2π/3 = (π/4)/2π * πr2. If we solve this equation for 'r', we get r = √6 inches as the radius of the circle.

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A point is located in a polar coordinate system by the coordinates r = 2.8 m and θ = 18°. find the x- and y-coordinates of this point, assuming that the two coordinate systems have the same origin.

Answers

wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages

what is the digit in the tenths place 15.16 ?

Answers

the 6 is in the tenths place

At Crescent High School, 120 students plan on going to an in-state college and 70 students plan on going to an out-of-state college. What is the ratio of students planning on going to an in-state college to students planning on going to an out-of-state college?

Answers

In order to put two quantities as a relationship, just put a colon or a fraction bar in between them, in the order that the problem asks you.

In this problem, it's asking for the # of students planning to go to an instate college to the # of students planning to go to an out of state college.
So, 120 : 70

Even though it doesn't tell you to simplify, it will never hurt you, so always do it.
Both 120 and 70 can be divided by 10, so the simplified answer would be 12:7

Hope this helps!

You would like to join a fitness center. Fit-N-Trim charges $80 per month. Fit-For-Life charges a one tim e membership fee of $75 and $55 per month. The lines shown in the graph represent the cost y to attend each fitness center for x months. Are the lines parallel?

Answers

y=80x
y=55x+75
They are not parallel

Estimate instantaneous rate of change of the point indicated p(x) = 3x^2-5, x = 2

Answers

Attached a solution and showed work.

120 × a = 2889 what is the product

Answers

the answer is 24.075

How to figure it out:

2889 divided by 120 to get your answer.

24.075

Lakeya makes cupcakes to sell at her friend's lemonade stand. She sold 24 cupcakes and sold them for $3 each. Write a number sentence using the variable m to represent the total amount of money she made.

Answers

24 * 3 = m
because she sold 24 cupcakes for $3 then you would multiply 24 and 3 to get the amount of money she made

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