A square playground has sides that each measure 120 feet in length.
On a scale drawing, - inch represents 5 feet on the playground.
How long is a side of this playground on the scale drawing?

Answers

Answer 1

Answer:

24 inches

Step-by-step explanation:

So, 1 inch = 5 feet

then, x inch = 120 feet

Let's represent this as a ratio.

1 inch / x inch = 5 feet / 120 feet

1 inch / x inch = 1 feet /24 feet

x = 24 inches


Related Questions

Your fixed expenses are $1,235. 78/month. You want to save 5 months' worth for an emergency
fund over a year's time. How much must you save each month?

Answers

Answer:

  $514.91

Step-by-step explanation:

You want to save a total of ...

  5 × $1235.78

You want to do this over a 12-month period. So, you want to save 1/12 of this total each month. The amount you're saving each month is ...

  5(1235.78)/12 = 514.908333... ≈ 514.91

You must save $514.91 each month to reach the goal.

Answer: $514.91

Step-by-step explanation:

($1,235.78)(5 months)=$6,178.90


6,178.90/12 months=$514.91


(just for clarity: the other person is right, just wanted to show a simpler way to achieve the answer. gl :)

PLS HELP! Given the angles in the diagram below, what is m<2

Answers

Your question answer is d 98 is right.

The circumference of a circle is 20π. What is the area of the circle?

Answers

Answer:

The area of the circle is 100 square units.

Step-by-step explanation:

We are given that the circumference of a circle is 20π, and we want to determine its area.

Recall that the circumference of a circle is given by the formula:

[tex]\displaystyle C = 2\pi r[/tex]

Substitute:

[tex]20 \pi = 2 \pi r[/tex]

Solve for the radius:

[tex]\displaystyle r = \frac{20\pi}{2\pi} = 10[/tex]

The area of a circle is given by:

[tex]\displaystyle A = \pi r^2[/tex]

Since the radius is 10 units:

[tex]\displaystyle A = \pi (10)^2[/tex]

Evaluate:

[tex]\displaystyle A = 100\pi\text{ units}^2[/tex]

In conclusion, the area of the circle is 100 square units.

The number of fish in the lake can be modeled by exponential regression equation y equals 14.08 * 2.08 X where X represents the year which is the best prediction for the number of fish in your 6 round your answer to the nearest whole number

Answers

Answer:

1140

Step-by-step explanation:

The best prediction for the number of fish in year 6 is 1517.

What is regression?

Regression is a statistical method used to analyze the relationship between two or more variables.

It helps to identify and quantify the relationship between the dependent variable (also called the response variable) and one or more independent variables (also called the explanatory variables or predictors).

We have,

To find the best prediction for the number of fish in year 6, we need to substitute x = 6 into the exponential regression equation:

So,

y = 14.08 x [tex]2.08^x[/tex]

y = 14.08 x [tex]2.08^6[/tex]

y = 14.08 x 107.6176

y = 1516.672768

Rounding to the nearest whole number, the best prediction for the number of fish in year 6 is 1517.

Thus,

The best prediction for the number of fish in year 6 is 1517.

Learn more about regressions here:

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6p- 2q for p = 3 and q = -7

Answers

Answer:

32

Step-by-step explanation:

plug in the values of the variables then simplify

Answer:

[tex]\boxed{32}[/tex]

Step-by-step explanation:

Hey there!

Well given the expression,

6p - 2q

and p and q we need to plug them in.

6(3) - 2(-7)

Simplify

18 - -14

18 + 14

= 32

Hope this helps :)

14 POINTER IF YOU HIT THE BULLSEYE!!!!! HELP!
Billy, Bob, and Joe found a question in their test that said this and they NEED HELP!!!!! with flying promises to give brainliest they now wait.......

Answers

Answer:

mean would decrease

Step-by-step explanation:

Please help with the question!!!!!

Answers

Answer:  [tex]y = -|x| + 1[/tex]

Start with the parent function [tex]y = |x|[/tex] which is a V shape graph that has its vertex at (0,0) and it is the lowest point. Every point has a positive y coordinate other than the vertex of course.

Reflect over the y axis to get [tex]y = -|x|[/tex], so now everything is negative or below the x axis, other than the vertex point.

Lastly, shift everything up 1 unit by adding 1 onto the right side getting [tex]y = -|x|+1[/tex]

Answer:

y=absolute value brackets -x end absolute value brackets +1

Step-by-step explanation:

this is the equation that matches

ans this question......​

Answers

Step-by-step explanation:

Universal Set(U)={2,3,4...16}

M={2,4,6,8..16}[Even numbers between 2-16]

N={3,5,7...15}[Odd numbers between 2-16]

(PUM)'=U-(PUM)={2,3,4...16}-[{2,4,6,8..16}U{3,5,7...15}]={}

For shading, Shade the area outside the two circles but inside the square.

A company knows that if it sets the price of a product at p dollars, the number of units sold will be x million, where p = 2 - x. If the cost of the product is given by 0.25 + 0.5x million dollars. What price should be set to make a profit of $ 0.25 million?

Answers

Two Answers: p = 1.5 or p = 1

====================================================

Explanation:

x = number of products, in millions, sold

p = price per product

R = revenue

R = (number of products sold)*(price per product)

R = x*p

R = x(2-x)

R = 2x-x^2

C = costs

C = 0.25 + 0.5x

F = profit

F = revenue - costs

F = R - C

F = (2x - x^2) - (0.25 + 0.5x)

F = -x^2 + 1.5x - 0.25

We want a profit of 0.25 million, so plug in F = 0.25 and solve for x

F = -x^2 + 1.5x - 0.25

0.25 = -x^2 + 1.5x - 0.25

0 = -x^2 + 1.5x - 0.25 - 0.25

-x^2 + 1.5x - 0.5 = 0

Use the quadratic formula to find the two solutions to be x = 0.5 and x = 1

If x = 0.5, then p = 2-x = 2-0.5 = 1.5

If x = 1, then p = 2-1 = 1

There are two price points  (p = 1.5 and p = 1) that lead to the same profit F = 0.25

Mr.Snyder gave his four children $35 to split equally for each car they cleaned out. The children cleaned put 3 cars. Mr.Snyder does not have any coins. He only had dollar bills. How much money should each child get?

Answers

Answer:

$26 for each child

Step-by-step explanation:

35 * 3 = 105 / 4 = 26.25

i just answered this, they would each get $26

Can someone answer this please? Okay so it says that something is made 3 times than the other item. The other item uses 13 beads. So, what is 13 times 3?

Answers

Answer:

13x3= 39

Step-by-step explanation:

10x3=30

3x3=9

30+9=39

Hope it helps!

If you multiply them it would be 39. Hope this helps

Please answer this question now

Answers

Answer:

320 square inches

Step-by-step explanation:

4 * 1/2(8)(16) + 8*8 = 320

Answer:

320 sq. in.

Step-by-step explanation:

The formula for finding the area of a triangle is:

[tex]\frac{hb}{2}[/tex] (basically multiplying the height and the base and then dividing by 2)

Since there are 4 triangles, we can multiply the area of 1 triangle by 4 (64 times 4 is 256).

Then, on the bottom we have a (8 times 8) square (64).

Triangles: 256

Square: 64

256 + 64 = 320 sq. in!

Hope that helps and maybe earns a brainliest!

Have a great day!

1.5(a -4) - 2 = 4 pls help ASAP and show checked answer

Answers

Answer:

4

Step-by-step explanation:

Solving:

1.5(a -4) - 2 = 4 1.5a - 6 -2 = 41.5a - 8 = 41.5a = 4 + 81.5a = 12a = 12/1.5a = 8

Checking:

1.5(8-4) - 2 = 41.5*4 - 2 = 46 - 2 = 44 = 4
Solution :
5a -20 - 2 = 4
5a - 22 = 4
5a = 4 + 22
5a = 26
a = 26/5
a = 5.2
Check :
5(5.2 - 4 ) - 2 = 4
26 - 20 - 2 = 4
6 - 2 = 4
4 = 4
EQUATION PROVEN ✅

4x − 1 < 11 solve for x

Answers

Answer:

[tex]\huge \boxed{x < 3}[/tex]

Step-by-step explanation:

4x - 1 < 11

Add 1 on both sides.

4x - 1 + 1 < 11 + 1

4x < 12

Divide both sides by 4.

(4x)/4 < 12/4

x < 3

Rational and irrational numbers are both imaginary numbers.
True
False
help please! thank you :)

Answers

Answer:

The correct option is;

False

Step-by-step explanation:

An imaginary number is also known as a imaginary part of a complex number is a real number that has a factor of √(-1)

Rational numbers are numbers that can be put in the form of the ratio of two integers (real numbers), forming a simple fraction such as 1/2, or 3/7

Irrational numbers are the subset of real numbers that cannot be expressed as a ratio of two numbers such as π, √2, Eulers number, e, the golden ratio, φ

Therefore, rational numbers and irrational numbers are real numbers not imaginary numbers.

PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')

A. 1
B. 2
C. 3
D. None of the above​

Answers

Given that

U = {X : 30 ≤ X ≤ 40. X is an even number}.

so Mathematically

U = {30,32,34,36,38 40}.

P = {X : X is a multiple of 4}

P = { 4,8,12,16,20,24,28,32,36,40,44,........}

and Q = {X : X is a number such that the sum of its digits is an odd number}.

Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.

(Q')= U-Q  ={40}

(P∩Q')= {40}

n(P∩Q')= 1

(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.

(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.

n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which  has only 1 element which is 40.

So the best answer is part A = 1.

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what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
Need help ASAP ???

Answers

Answer:

The slope of AB is - 2,

Slope of BC is \frac{1}{2}

2

1

Slope of CD is -\frac{3}{4}−

4

3

Slope of AD is \frac{1}{2}

2

1

,

ABCD is trapezoid because one pair of opposite sides is parallel.

Step-by-step explanation:

Given vertices of quadrilateral ABCD,

A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2),

∵ Slope of a line passes through two points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is,

m=\frac{y_2-y_1}{xc_2-x_1}m=

xc

2

−x

1

y

2

−y

1

Thus, the slope of AB = \frac{3+1}{-3+1}=\frac{4}{-2}=-2

−3+1

3+1

=

−2

4

=−2

Slope of BC = \frac{5-3}{1+3}=\frac{2}{4}=\frac{1}{2}

1+3

5−3

=

4

2

=

2

1

Slope of CD = \frac{2-5}{5-1}=-\frac{3}{4}

5−1

2−5

=−

4

3

Slope of DA = \frac{-1-2}{-1-5}=\frac{-3}{-6}=\frac{1}{2}

−1−5

−1−2

=

−6

−3

=

2

1

Since, when two line segment having the same slope then they are parallel to each other.

∴ BC ║ DA

A quadrilateral only having two parallel sides is called trapezoid,

Hence, ABCD is a trapezoid.

Given the graph of quadrilateral ABCD, the coordinates of A, B, C and D are (-3,-4), (1,4), (4,0) and (1,-4) respectively. The length of DA using distance formula is 4 units.

The coordinates of the points in the graph is given in the form of (x,y) where x is the abscissa and y is the ordinate.

The distance formula is used to find the length of the line given the endpoints of the line.

Given endpoints as [tex](x_1, y_1) \ and \ (x_2, y_2)[/tex],

[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The coordinates of vertices are given by:

A = (-3,-4)

B = (1,4)

C = (4,0)

D = (1,-4)

The length of DA can be found by distance formula :

DA  = [tex]\sqrt{(1+3)^2+(-4+4)^2} = \sqrt{(1+3)^2} = \sqrt{4^2} = 4[/tex]

Learn more about distance formula here

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What is the approximate value of 2 -3

Answers

Assuming you are doing x minus y, the value would be -1.00

The number line can help - go left three times from 2 and you get an answer.

Assuming you are doing x times (-y), the value would be -6.00

Add -3 to itself 2 times

Graph the line that passes through the points (-3,-6) and (8,-6)and determine the equation of the line.

Answers

Answer:

Y = -6

Step-by-step explanation:

x1 y1  x2 y2

-3 -6  8 -6

   

(Y2-Y1) (-6)-(-6)=   0  ΔY 0

(X2-X1) (8)-(-3)=    11  ΔX 11

   

slope= 0          

B= -6          

   

Y = -6    

7 people out of the 99 visitors bought a gift. About ___% of the visitors bought a gift.

Answers

Answer:

About 7.07% of the visitors bought a gift.

Step-by-step explanation:

7/99 = 0.0707

0.0707 *100 = 7.07%

then:

About 7.07% of the visitors bought a gift.

Special right triangles

Answers

Answer: please find the attached files

Step-by-step explanation:

A unit circle formula and special triangle of 45, 30 and 60 degrees can be used to solve the problem.

Please find the attached files for the solution

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
A.
8
B.
9
O c.
16
o
D.
18

Answers

Answer:

D

Step-by-step explanation:

time = 27 ÷ 3 × 2 = 9 × 2 = 18 minutes → D

Answer:

The answer is below

Step-by-step explanation:

You first divide 27/3

= 9

you divide it cause you know how many times you have done a lap every 2 minutes.

Now to find how long you took you times 9 by 2

= 18

Therefore Jose took 18 minutes to swim 27 laps

PLS HELP!! Consider the exponential functions f, g, and h, defined as shown. Determine which function or functions have each key feature. Drag the tiles to the correct boxes. Not all tiles will be used.

Answers

Answer:

1) increases on all interval of x = only g(x)

2) approaches an integer as x approaches -∞ = only f(x)

3) y-intercept at (0, 4) = only g(x)

4) x-intercept at (1, 0) = f(x) and h(x)

Step-by-step explanation:

1) The functions that increases on all interval of x are;

f(x) = -2(3)ˣ + 6 decreases on all interval of x

The function g(x) which is 4 × 4ˣ  increases on all interval of x

The function h(x) is observed to be decreasing as x increases, therefore, the only function that increases on all interval of x = g(x)

2) The function that approaches an integer as x approaches -∞ = -2(3)ˣ + 6

-2(3)ˣ + 6 approaches 6 as x approaches -∞ which is only f(x)

3) The functions that have a y-intercept at (0, 4) is only g(x)

4) The function that have a x-intercept at (1, 0) are f(x) and h(x).

Answer:

A) f(x) and g(x)

B) only g(x)

C) All three functions

D) f(x) and h(x)

Step-by-step explanation:

In my uploaded image on the test I have gotten C) wrong but if you graph all three functions, you can see that all three functions have the same style of -∞

end behavior so I think that would be the most logical answer.

Please help pleaseeee

Answers

Answer:

False

Step-by-step explanation:

When you compare the dots to the numbers, you can see that the 5s and 8s don't match.

The dot plot has 6 5s, but the data has 5.

The dot plot has 2 8s, but the data has 1.

I hope this helps!

pls ❤ and give brainliest pls

Organize the data set:

8,7,5,5,4,2,3,3,4,6,5,4,5,5

2,3,3,4,4,4,5,5,5,5,5,6,7,8

False

Murphy purchases two bags of rice of weights 56 kg and 72 kg. Find the maximum value of weight which can measure the weight of the rice exact number of times.

Answers

Answer:

8

Step-by-step explanation:

In order to answer this question we need to find the greatest common divisor of the two quantities which will give us the maximum number by which both can be divided.

The greatest common divisor of a group of integers is the largest common divisor that divides each of the integers. The first step to find it is write down the integers as a product of primes, so we have:

[tex]56=(28)(2)=(14)(2)(2)=(7)(2)(2)(2)= 2^3[/tex]·[tex]7[/tex]

[tex]72=(24)(3)=8(3)(3)=2^3[/tex]·[tex]3^2[/tex]

Now, in order to find the gcd we are going to take the factors that they have in common. In this case they both share the [tex]2^3[/tex].

Thus, [tex]2^3=8[/tex] is the greatest common divisor and therefore the maximum value of weight which can measure the weight of the rice exact number of times.

Find the sum and express it in simplest form.
(6u - 7c - 6) + (-2u + 4c) ​

Answers

Answer:

4u - 3c - 6

Step-by-step explanation:

Remove the parentheses and combine like factors.

(6u - 7c - 6) + (-2u + 4c)

6u - 7c - 6 - 2u + 4c

4u - 3c - 6

i need help. Can u help me solve for x?

Answers

Answer:

[tex] x = \sqrt {40}[/tex]

Step-by-step explanation:

Given is an isosceles triangle, dotted line is the bisector of top angle which is also perpendicular bisector of the base of the triangle. Hence, by Pythagoras theorem:

[tex] {x}^{2} = {6}^{2} + ({ \frac{4}{2} })^{2} \\ = 36 + 4 \\ = 40 \\ \therefore \: x = \sqrt{40} \\ [/tex]

Answer:

D. x = sqrt(52).

Step-by-step explanation:

Since the line measuring 6 units bisects the top angle, there are two right angles. We can use the Pythagorean Theorem to solve for x.

a^2 + b^2 = x^2

4^2 + 6^2 = x^2

16 + 36 = x^2

52 = x^2

x = sqrt(52)

x = sqrt(2 * 2 * 13)

x = 2sqrt(13)

x = 7.211102551.

Hope this helps!

If a^b= b^a and a = 2b then find the value of a^2+b^2
a) 20
b) 30
c) 28
d) 24

Answers

Answer:

[tex]\large \boxed{\sf \bf \ \ a^2+b^2=20 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]a^b=b^a\\\\\text{ We can replace a by 2b.}\\\\(2b)^b=2^b\cdot b^b=b^{2a}=b^2\cdot b^b\\\\\text{ Let's assume that b is different from 0 and we can divide by }b^b \\ \\ \text{ both sides of the equation, and it come.}\\\\2^b=b^2\\\\\text{ We find b = 2 and then a = 4, So}\\\\a^2+b^2=4^2+2^2=16+4=20[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you


16. Mrs. Acosta wants to buy 2 flag pins
for each of the 168 band members for
the Fourth of July Parade. Pins cost
$0.09 each. Which is the best estimate
of the cost of the pins?


Answers

Because we are looking for an estimate, we can round 168 people to 170. Then, 2 pins for about 170 people would be 340 pins (simply multiple 170 x 2). Then we can round 9 cents to 10 cents, or .1 dollars. 340 pins times .1 is just 34 dollars (move the decimal once to the left).

Answer: About 34 dollars

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/3 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?

Answers

Answer:

The load the large truck can carry  is 2400 pounds

Step-by-step explanation:

Let the load the large truck can carry  = X

Let the  load each of the four trucks owned by the neighbor can carry = Y

The given parameters are;

The load the large truck can carry X = 600 + Y......(1)

The number trucks owned by the neighbor = 4

The load the large truck can carry X ≤ 1/3 × 4 × Y

Therefore, X ≤ 4/3 × Y

At maximum capacity, we have;

X = 4/3 × Y

Substituting the value of X into equation (1), we have;

4/3 × Y = 600 + Y

600 = 4/3 × Y - Y = 1/3·Y

Y = 3 × 300 = 1800 pounds

Y =  = 1800 pounds

Therefore, the load the neighbors truck can carry = 1800 pounds

X = 600 + Y gives;

X = 600 + 1800 = 2400 pounds

∴ The load the large truck can carry  = 2400 pounds

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Amy is a young woman who is very competitive and comes from a high-achieving, wealthy family. She is very social and likes the fact that she is quite popular. She believes that her popularity is dependent on the weight and shape of her body. Amy has a boyfriend but worries that she may care more about their relationship than he does. The feature that puts Amy most at risk for an eating disorder is her Select the correct answer.Simplify.V96 3. Using the identity (a + b) = (a + 2ab + b), evaluate 122.....plz it's request to do answer fast and I will make him or her brainlist CAN ANYONE HELP ME WITH THIS QUESTION...Plzz Provide two real world examples of habitats and niches within ecosystems? Explain the interdependence that exists within those ecosystems. What is 9.871 x 10^-3 in standard form? * You have invested 20 percent of your portfolio in Homer, Inc., 40 percent in Marge Co., and 20 percent in Bart Resources. What is the expected return of your portfolio if Homer, Marge, and Bart have expected returns of 2 percent, 18 percent, and 3 percent, respectively? Describe life during the Neolithic Age (New StoneAge). An organizational chart of a company shows vice presidents with responsibility for key areas such as design, manufacturing, sales, marketing, and after-sales support. This reflects a _______ structure. In the early 1990s, Gatorade dominated the market for sports drinks, a segment in which it had been the original innovator. For decades, Coca-Cola had been a leader in marketing, bottling, and distributing soft drinks. However these drinks did not include a sports drink. Soon after Gatorade appeared, Coca-Cola developed and marketed its own sports drink, Powerade. In this example, Coca-Cola Question 28 options: built new core competencies to protect and extend its current market position. built new core competencies to create and compete in markets of the future. leveraged core competencies to improve current market position. redeployed and recombined core competencies to compete in markets of the future. The phase sequence of a 3-phase system for which VAN = 120 /90o V and VBN = 120 /210o V is:_______ a) bca b) abc c) cab d) acb does successfully completing a driver education courseguarantee that you become a safe driver??a. Trueb. False what year was Girl scouts Founded and by who what year did she die and how? WILL MARK BRAINLEST IF CORRECT!!!!!!!!!!! NO CHEATING! A scoop of your favorite flavor of jelly bean costs $2.75. The candy bar your friend likes costs $1.25. Which expression represents the total money you spend? Group of answer choices DQuestion 39Medical progress has had no effect on early mortality Which of the following describes a positron emission tomography (PET) scanner? 1: A device that uses magnetic fields to produce images of brain structures 2: A device that uses magnetic fields to measure blood flow 3: A device that uses radioactive fluid to determine the active areas of the brain 4: An X-ray device that can create a 3D model of the brain Bus starts from rest if the acceleration of the bus is 0.5 MS squared what will be the velocity at the end of two minutes and what distance will it cover during that time Can someone help me on this please Question 18What would be the best appraisal approach to use in estimating the market value of an athletic stadium?a) Sales comparisonb) Costc) Direct capitalizationd) Yield capitalization Exponential form of 81/625