1. Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 feet.
(a) What is the length of the garden in her model? Show your work, including your proportion.
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?

Answers

Answer 1

Answer:

(a) 3 inches

(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches

Step-by-step explanation:

Scaling

We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.  

(a)

Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is

6 feet*1 inch/2 feet = 3 inches

(b)

The width of the model is 5 inches, keeping the same scale it means the real length is

5 inches * 2 feet / 1 inch = 10 feet

The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper


Related Questions

Factorise 3x^2+13x-10

Answers

Answer: (3x-2)(x+5)

Hope this helps.

The correct answer for the factorization of   [tex]3x^{2} +13x -10[/tex]   is  [tex](3x-2)(x+5)[/tex].

Given expression:

[tex]3x^{2} +13x -10[/tex]

a: The coefficient  of [tex]x^{2}[/tex]

b: The coefficient of linear term variable.

c: The constant term.

In given question:

a= [tex]3x^{2}[/tex]  ,   b =[tex]13x[/tex]  ,   c = [tex]-10[/tex]

To factorize,
Split the middle term:

Find two numbers that multiply to ac (product of the coefficients of [tex]x^{2}[/tex] and the constant term) and add up to b (coefficient of [tex]x[/tex]).

ac = [tex]3*-10 = -30[/tex]

b = [tex]13[/tex]

The two numbers are:

[tex]15[/tex] and [tex]-2[/tex] because [tex]15 * -2[/tex] = [tex]-30[/tex] and [tex]15+(-2) = 13[/tex].

Rewrite the middle term using the two numbers found:

[tex]3x^{2} +15x-2x -10[/tex]

Simplify:

[tex]3x(x^{} + 5x)-2(x+5)[/tex]

[tex](x+5)(3x-2)[/tex]

The factored term of equation [tex]3x^{2} +13x -10[/tex]  is  [tex](3x-2)(x+5)[/tex].

Learn more about Factorization here:

https://brainly.com/question/34828471

#SPJ6

Colton takes out a $16,000 student loan to pay his expenses while he is in college. After graduation, he will begin making payments of $103.09 per month for the next 25 years to pay off the loan. How much will Colton end up paying for the loan than the original value of $16,000

Answers

If I am doing the problem correctly the answer is $977.25 :)

1. 72% of the students in Math 6 at AZVA are currently passing mastering their lessons. If 324 students are currently mastering their math lessons, how many students are in Math 6?

a) Use a percent equation OR set up a proportion that you will use to solve the problem.
Percent equation





a) Solve the problem. Show your work. 0.72x = 324 x = 324 / 0.72 x = 450 students


2. 2. A bag of dog food weighs 20 lb. 15% of the weight is oats.

a) Set up an equation OR proportion to find the weight of the oats in the dog food.





b) What is the weight of the oats in the dog food? Show your work.


3. Some students were asked what kinds of animals they have at home. The results are below:

(a) List the animals in order of popularity from most popular to least popular.


(b) I estimated that 250 students were interviewed. Based on my estimate, how many students have an “other” pet? Show your work.




(c) If 75 students have cats, was my estimate of 250 students correct? If not, what is the actual number of students interviewed? Explain.



THE CHART IS FOR NUMBER THREE RIGHT AFTER IT SAYS BELOW. IF YOU PUT ANY COMMENT THAT DOESN'T ANSWER MY QUESTION I WILL DELETE THE ANSWER AND TAKE AWAY THE POINTS I GAVE YOU . IF YOU ANSWER RIGHT I WILL GIVE YOU 109 POINTS I WILL ALSO MARK BRAINIEST AND PUT THANKS OVER UR NAME

Answers

Answer:

1. a. 72/100 = 324/x

72x = 32,400

b. 450 students are in Math 6

2. a. o = 3b

b. o = 3 pounds

3. a. Most popular animals:

A. Dogs - 67%

B. Cats - 20%

C. Other - 8%

D. None - 4%

E. Horses - 1%

b.  20 students

c. If 75 students have cats, the estimate of 250 students isn't correct.

The actual number of students interviewed is 375.

Step-by-step explanation:

1. a. Let's use the following equation to solve the question:

x = Students that are in Math 6

72/100 = 324/x

72 * x = 324 * 100

72x = 32,400

b. Let's solve the equation, as follows:

x = 32,400/72

x = 450

450 students are in Math 6

2. a. The equation is:

o = 0.15 *20b

o = 3b

where, o = weight of oats in pounds and b = number of dog food bags

b. Let's find out the weight of the oats in one dog food bag, using our equation:

o = 0.15 *20b

o = 0.15 *20 * 1

o = 3 pounds

3. a. Most popular animals:

A. Dogs - 67%

B. Cats - 20%

C. Other - 8%

D. None - 4%

E. Horses - 1%

b. If 250 students were interviewed, the 8% who answered "other" are:

8% of 250 = 0.08 * 250 = 20 students

c. If 75 students have cats, the estimate of 250 students isn't correct.

The 20% of 250 is 50, not 75.

0.2 * 250 = 50

The actual number of students interviewed is:

x = Actual number of students interviewed

75/x = 20/100

20x = 7,500

x = 7,500/20

x = 375

The actual number of students interviewed is 375.

What's an equation for 12 less than a number x is 19

Answers

The anwser for your question is 7 because you subtract 12 from 9

Final answer:

Explaining how to create an equation for a specific scenario where 12 is subtracted from a certain number to equal 19.

Explanation:

An equation for 12 less than a number x is 19:

Define the variable: Let x be the number.

Set up the equation: x - 12 = 19.

Solve for x: x = 19 + 12 = 31.

Plzzz show your work to this problem

Answers

Answer:

answer is attached in the image below

Which sequence of transformations confirms congruence by mapping shape I onto shape II?

A. a reflection across the x-axis and then a translation 15 units left

B. a 90° clockwise rotation about the origin and then a translation 25 units up

C. a 90° counterclockwise rotation about the origin and then a translation 10 units left

D. a 180° rotation about the origin and then a translation 10 units right

Answers

Answer:

C. a 90° counterclockwise rotation about the origin and then a translation 10 units left.

Step-by-step explanation:

See the diagram attached to the question.

We have to select the sequence of transformations confirms congruence by mapping the shape I onto shape II.

The correct option is Option C.

C. a 90° counterclockwise rotation about the origin and then a translation 10 units left. (Answer)

2x-3y=-11
2x+y=9
What is the answer for this substitution method

Answers

Answer:

(-4,17)

Step-by-step explanation:

2x-3y=-11

2x+y=9

solve the equation

x=-4

2x+y=9

substitute the value of x into an equation

2×(-4)+y=9

solve the equation

y=17

A possible solution is

(-4,17)

check the solution

2×(-4)-3=-11

2×(-4)+17=9

simplify

-11=-11

9=9

the order pair is a solution

answer is (-4,17)

Final answer:

To solve the given system using the substitution method, solve the second equation for y, substitute into the first equation, and solve for x. Substituting x back into the expression for y gives the solution x = 2 and y = 5.

Explanation:

To solve the system of equations using the substitution method, we have to express one variable in terms of another from one of the equations and then substitute it into the other equation. For the given system of equations:

2x - 3y = -112x + y = 9

First, we solve the second equation for y:

y = 9 - 2x

Now we substitute this expression for y into the first equation:

2x - 3(9 - 2x) = -11

2x - 27 + 6x = -11

8x - 27 = -11

8x = 16

x = 2

After finding x, we can substitute x back into y = 9 - 2x to find the value of y:

y = 9 - 2(2)

y = 9 - 4

y = 5

The solution to the system of equations is x = 2 and y = 5.

Learn more about Substitution Method here:

https://brainly.com/question/22340165

#SPJ2

An apartment complex has a total of 175 units. Of these, 154 units are occupied. What percent of the apartment are unoccupied?

Answers

Answer:

The percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%

Step-by-step explanation:

i.) the apartment complex has a total of 175 units.

ii.) 154 units are occupied.

iii.) therefore the number of unoccupied units is = 175 - 154 = 21 units.

iv.) the percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%

WILL MARK BRAINLIEST!!!
What is the value of k?

A. −5
B. −3
C. 3
D. 5

Answers

Answer:

B. -3.

Step-by-step explanation:

If we take a look at the point (0, 1) in f(x), and compare it to the point (5, -2) in g(x), we can see that the point is simply moved to the right (translated horizontally) and moved down (translated vertically). Since k represents the vertical translation, the value must be -3.

1 -> -2

k = -3.

Answer:

B. -3

Step-by-step explanation:

Because I did the unit test

which equation represents grants path?
A. y=2-4x
B. y=4-x/2
C. y=6-x/4
D. y=8-2x​

Answers

Answer:

C.

Step-by-step explanation:

recall that the point-slope form of a linear equation is given by

y = mx + c

Rearranging so that it is in the same form as the answer choices, we get

y = c + mx

where m is the slope and c is the y-intercept

we note the following observations

1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)

2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.

If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)

Answer:

B)

Step-by-step explanation:

A system of equations is shown below: 3x − y = 2 x + y = 6 The x-coordinate of the solution to this system of equations is _____.

Answers

Answer:

Therefore the x-coordinate of the solution to this system is 2.4.

Step-by-step explanation:

Given system of equation is

      3x-y=6............(1)

and 2x+y=6...........(2)

Adding equation (1) and (2)

3x -y+2x-y=6+6

⇔5x =12

[tex]\Leftrightarrow x=\frac{12}{5}[/tex]

⇔x = 2.4

Putting the value of x in equation (1)

3×2.4 - y =6

⇔7.2 -y = 6

⇔y = 7.2-6

⇔y=1.2

Therefore the x-coordinate of the solution to this system is 2.4.

Step-by-step explanation:

Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)

Answers

n(AxB) = 25

Step-by-step explanation:

AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.

Given

A = {a,b,c,d,e}

B = {1,2,3,4,5}

The number of elements for Cartesian product of two sets is determined by:

[tex]n(AxB) = n(A) * n(B)[/tex]

Here

[tex]n(A) = 5\\n(B) = 5[/tex]

So,

[tex]n(AxB) = 5*5 = 25[/tex]

Hence,

n(AxB) = 25

Keywords: Sets, Cartesian Product

Learn more about sets at:

brainly.com/question/5102020brainly.com/question/5147732

#LearnwithBrainly

The value of n(AxB) is 25

Set theory

Given the following sets

A= {a,b,c,d,e} and let B= {1,2,3,4,5}, we are to determine n(AxB)

n(A) = 5 (number of elements in the set)

n(B) = 5

Get the cardinality of n(AxB)

n(AxB) = n(A) * n(B)n(AxB) = 5 * 5n(AxB) = 25

Hence the value of n(AxB) is 25

Learn more on the product of set here: https://brainly.com/question/1565646

40 POINTS !!!A poll shows that 70% of teenagers in the United States use social media. A random sample of 30 teenagers showed that 90% of them use social media. A number generator was used to simulate 30 samples from a population in which 70% of teenagers use social media. The results are shown in the dot plot.
WHAT IS THE CHANCE OF GETTING A SAMPLE PROPORTION OF 90% OR GREATER

Answers

Answer:

0.20

Step-by-step explanation:

0.20

12 ones 1 tens and 7 hundreds

Answers

12 ones, 1 tens, 7 hundreds=7112

Answer: 722

Step-by-step explanation:

Add 700, 10, and 12. Your answer added altogether is 722.

Stephanie works as a waitress and earns $4.50 an hour. Stephanie's last paycheck was $150. She earns $60 in tips in addition to her hourly pay. Write an equation the represents this situation. How many hours did Stephanie work? Paragraph Please!!!!!!!!!!!

Answers

Stephanie worked for 33 hours 20 minutes.

Explanation:

Step 1; Stephanie works and earns $4.50 an hour. Her last paycheck was for $150. So to find the number of hours she has worked we divide the total money earned by the money she earns every hour.

Total hours worked = Total money earned / Money earned for an hour

                                  = $150 / $4.50 = 33.33 hours.

Step 2; We need to convert the 33.33 hours into hours and minutes.

We multiply the 0.33 hours with 60 to convert it into minutes. 0.33 × 60 = 20 minutes. So Stephanie worked for 33 hours and 20 minutes to get her last paycheck.

Answer:

20 hours

Step-by-step explanation:

She receives $60 regardless of the number of hours she works for. Per hour, she earns $4.50. In t hours, she earns:

60 + 4.50t

For some t, the total is $150

150 = 60 + 4.50t

90 = 4.50t

t = 20

What is the solution to the inequality 12x < 252

Answers

Answer:

x < 21

Step-by-step explanation:

Given

12x < 252 ( divide both sides by 12 )

x < 21

How to simplify (5+4)x2+4

Answers

PEMDAS 5+4=9 9x2=18 18+4=22. Your answer would be 22.

AnsWER:  22

Step-by-step explanation: (5+4)X 2+4

9X2+4

18+4

22

Sales  Gi sells televisions. He earns a fixed amount for each television and an additional $ 20 if the buyer gets an extended warranty. If Gi sells 18 televisions with extended​ warranties, he earns $ 1 ,260. How much is the fixed amount Gi earns for each​ television? PLZZ HELP :)

Answers

Answer:

$50

Step-by-step explanation:

Simple math

Extended warranty don’t count so gotta take that out that’s be 20x18=360 1260-360=900 now divide 18 tvs from that and u get 900/18=50

Final answer:

To determine the fixed amount Gi earns for each television, a simple algebraic equation is set up and solved to find that he earns $ 50 per television without the extended warranty.

Explanation:

To solve for the fixed amount Gi earns for each television without the extended warranty, we can set up an equation.

Let's call the fixed amount $F. Each television with an extended warranty earns Gi an additional $ 20, so for each of those televisions, he earns $F + $20. If he sells 18 televisions with extended warranties,

the total amount he earns can be represented by 18($F + $ 20), which equals $ 1,260 according to the question.



We can create the following equation to find the fixed amount $F:

18($F + $ 20) = $ 1,260

To solve for $F, divide both sides of the equation by 18:

$F + $ 20 = $ 70

Then, subtract $ 20 from both sides to isolate $F:

$F = $ 50

So, the fixed amount Gi earns for each television is $ 50.

What is the sum of the EXTERIOR angles of an octagon?

Answers

Answer:

A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:

((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.  

Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.  

And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.

This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.

Final answer:

The sum of the exterior angles of any polygon, including an octagon, is always 360 degrees. This is true regardless of the polygon's number of sides, because when one traces around the polygon, the point will have made one full revolution, or 360 degrees.

Explanation:

In mathematics, the sum of the exterior angles of any polygon, not just an octagon, is always 360 degrees. This applies regardless of the number of sides the polygon has. The concept comes from observing how a point moves as one traces around the polygon: during the complete circuit, it will have made exactly one full revolution, which is 360 degrees in total. Just as a circle consists of 360 degrees, this concept applies to polygons and their exterior angles as well.

Learn more about Exterior Angles here:

https://brainly.com/question/2406986

#SPJ3

The number −6 is 2 more than an unknown number. Find the unknown number.

Answers

Answer:

-8

Step-by-step explanation:

if its 2 more then [tex]-6-2=-8[/tex]

so if you think the opposite negative 8 plus 2 is -6

Add parentheses to make this 15-6-3=12

Answers

Answer:

15-(6-3) = 12

Step-by-step explanation:

15 - (6-3) =

Solve inside the parenthesis

15-3=12

(SAT Prep) Find the value of x in each of the following exercises:
QUICKLY PLEASE JIMGRANT1 IF YOU WOULD PLEASE HELP.

Answers

Answer:

x=120°

Step-by-step explanation:

Let us draw a third horizontal line through x, parallel to the two parallel lines.

This line divides angle X into A and B as shown.

By alternate interior angle theorem, angle B=50°

and

angle A=70°

We know that: A+B=x

Therefore x=70°+50°=120°

Answer:

x=120 degrees

Step-by-step explanation:

1. 70+50=120

I get it its simple but its correct i do RSM


What is the slope of the line passing through the points (-3, 4) and (2, -1)?

1
-1
3/5
-5/3

Answers

Answer:

-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1 - 4)/(2 + 3) = -5/5 = -1

answer is -1

#5 Find the unit rate of the
situation below:
You can drive 80 miles on 5
gallons of gas.

Answers

The unit rate is 16 miles per gallon

Can someone please help me with this 7th grade math homework

Answers

Answer:

Step-by-step explanation:

i honestly dont even knw but i hope u get it right

what's the answer for 13x-37+2x+13​

Answers

Answer:

11x+50

Step-by-step explanation:

Answer:

15x - 24

Step-by-step explanation:

If a number is a multiple of 3, it is a multiple of 12.

Answers

If a number is a multiple of 3, it is not necessary to a multiple of 12.

Step-by-step explanation:

The numbers which are multipe of 3:

3, 6, 9, 12, 15, 18, 21, 24, ......

The numbers which are multipe of 12:

12, 24, 36, 48, ......

The number is multiple of 12 is also multiple of 3 but the number is multiple of 3 the number may be multiple of 12 or may not be multople of 12.

Thus, If a number is a multiple of 3, it is not necessary to a multiple of 12.

Given this function: f ( x )=−2cos(4 πx ) Find the following:


Period = Equation of the mideline:




Maximum = Minimum =

Answers

Answer:

Period =½

Equation of midline, y=0

Maximum =2

Minimum=-2

Step-by-step explanation:

The given function is

[tex]f(x) = - 2 \cos(4 \pi \: x) [/tex]

The period is given by:

[tex] \frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]

The equation of the midline is y=0 since there is no vertical shift

The amplitude of this function is 2 so the range is -2≤y≤2.

Hence the maximum value is 2 and minimum value is -2

3/8 or 11/12 which one is greater

Answers

Answer:11/12

Step-by-step explanation:

answer:11/12


explanation

PLZZ HELP Which expression is the factored form of −1.5w+7.5 ?


−1.5(w+5)

1.5(5+w)

1.5(w−5)

−1.5(w−5)

Answers

The right answer is Option 4.

Step-by-step explanation:

Given expression is;

-1.5w+7.5

To factorize this expression, we will first take -1.5 common to make w positive.

[tex]-1.5(w-5)[/tex]

Because 5 multiplied by 7.5 divided by -1.5 is -5.

Therefore;

The expression is factored form is -1.5(w-5).

The right answer is Option 4.

Keywords: subtraction, addition

Learn more about subtraction at:

brainly.com/question/2116906brainly.com/question/2131336

#LearnwithBrainly

Final answer:

The factored form of the expression −1.5w+7.5 is −1.5(w-5), since −1.5 is the common factor for both terms in the expression.

Explanation:

The factored form of the expression −1.5w+7.5 can be found by factoring out a common factor. The common factor in this expression is −1.5, as both terms in the expression can be divided by −1.5.

Factoring out −1.5, we get:

−1.5w + 7.5
= −1.5 (w) + −1.5 (-5)
= −1.5 (w - 5)

Therefore, the factored form of −1.5w+7.5 is −1.5(w−5).

Other Questions
An automotive manufacturer has developed a new type of tire that the research team believes to increase fuel efficiency. the manufacturer wants to test if there is an increase in the mean gas mileage of mid-sized sedans that use the new type of tire, compared to 32 miles per gallon, the historic mean gas mileage of mid-sized sedans not using the new tires. The automotive manufacturer should perform a _____________ hypothesis test to _____________.(1) One-sided,analyze a change in single population(2) Two sided,analyze a change in a single population(3) One-sided,compare two populations(4) Two-sided,compare two populations What are conventions?A. Questions you ask to understand a text's meaningOB. The ideas you take away after reading a textOC. Rules that help readers understand the meaning of textsD. The meaning of texts deciphered from symbols The product of a number m and 6 is no less than 30. Federalist leader ________ was the person who drafted the amendments that became known as the Bill of Rights. Which of the following Supreme Court cases expanded governments' abilityto take over private property for the purpose of redevelopment?OA. Tinker v. Des MoinesOB. Kelo v. City of New LondonOC. Hernandez v. TexasOD. New Jersey v. T.L.O. Marcus and Phillip are in the Robotics Club. They are both saving money to buy materials to build a new robot. They plan to save the same amount of money.Marcus decides to open a new bank account. He deposits $25 that he won in a robotics competition. He also plans on depositing $15 each week that he earns fromtutoring. Phillip also opens an account. He deposits $40 he has saved from mowing lawns over the summer. He plans to save $10 a week from his allowance. Afterhow many weeks will they have the same amount of money saved?3 weeks4 weeks5 weeks6 weeks Conditional Probability Many early learning experts view approaches to learning as one of the most important domains of early childhood development. Approaches to Learning includes:A. The childs ability to stay focused, interested, and engaged.B. The adults ability to observe and recognize individual strengths, interests, and ideas.C. The childs ability to establish patterns for learning that will promote lifelong love of learning.D. All of the above. 19125 people, exactly 75%, what is the total population of the town Solve the equation for the given variable 4(3-4x)+2x=-12 What is a loan default? can someone help me with this, please!! jcm 100A _____________ is an object that functions as a part of the set or as a tool used by the actors. A. two-shot B. flag C. prop D. dolly E. All of the options are correct. How do you Solve 9k+m=6p for k Trenches form at sites where _____. what is the mean,mode,median,and range of 5,5,5,6,6,6,7,7,7,7,7 Imagine that you are Gregor Mendel and you want to assure yourself that the F1 generation plants you generated from crossing true-breeding plantsactuallyare heterozygotes. You perform a testcross by mating all of your F1 smooth pea plants with plants that are homozygous recessive (wrinkled pea plants). Describe the electrochemical series and why its important in understanding metals. Solve for v: -4(v - 2) + 3 > -3(v + 9) Distance to the earth's center kilometer