A playground is rectangular with a length of 78 miles. If the area of the playground is 820 square miles, what is its width? Input your answer as a fraction.

Answers

Answer 1

Answer:

10.5, [tex]10\frac{1}{2}[/tex], or [tex]\frac{21}{2}[/tex]

Step-by-step explanation:

To solve, you can use a variable (x) to represent the width.

The equation for area is A=L×W

So the Area is 820 and the length is 78.

820= 78w

Isolate the variable to solve.

w=10.5128....

If you round, it will be 10.5

10.5 as a fraction is [tex]10\frac{1}{2}[/tex] or [tex]\frac{21}{2}[/tex]


Related Questions

84 divided 5,376 ? (Show work)

Answers

Answer:

64

Step-by-step explanation:

  6 4

8 4 5 3 7 6  

- 5 0 4

3 3 6

- 3 3 6

0

I neeeeeeeeeeeed hellplp plz question 2

Answers

It’s J it says consistency

Monday evening, the jar of M & M's© is full. Tuesday, 1 8 of the M & M's are eaten. Wednesday, 1 3 of the M & M's that remained disappeared. Thursday morning, first thing, the jar had 42 M & M's remaining. How many M & M's were in the jar on Monday evening? M & M's

Answers

9514 1404 393

Answer:

  72 M&Ms

Step-by-step explanation:

We understand the problem to say ...

Monday the jar was fullTuesday the jar was 7/8 full (1/8 gone)Wednesday, the jar was (7/8)(2/3) = 7/12 full

That 7/12 full condition corresponds to 42 M&Ms being present.

  42 = 7/12·full

  full = 42(12/7) = 72

There were 72 M&Ms in the jar on Monday evening.

_____

Check

1/8 of 72 = 9 were eaten Tuesday

1/3 of the remaining 63 disappeared on Wednesday. That number is 21, so 63-21 = 42 remained after Wednesday. That is the number seen early Thursday.

There were 72 M & M's in the jar on Monday evening

How to determine the number of M & M's?

Let the initial number be x.

When 1/8 of the M & M were eaten on Tuesday, the remaining proportion is:

Remaining = (1 - 1/8) * x

This gives

Remaining = 7x/8

When 1/3 of the M & M disappeared on Wednesday, the remaining proportion is:

Remaining = (1 - 1/3) * 7x/8

This gives

Remaining = 7x/12

On Thursday, the remaining number of M & M is 42.

This means that:

7x/12 = 42

Divide both sides by 7

x/12 = 6

Multiply both sides by 6

x = 72

Hence, there were 72 M & M's in the jar on Monday evening

Read more about proportion at:

https://brainly.com/question/1781657

#SPJ9

which expression represents the situation

Answers

Answer:

12p = 48

Explanation:

There are 48 photos total, so multiply 12 pages, times the number of photos on each page to find the total number of photos.

Lila evaluates the expression using the following steps:(−7.13+63.97)+(−54.8−3.4)−71.1+(−58.2)−129.3Describe the error that Lila made.

Answers

Lila's error was that she added -7.13 to 63.97 to get -71.1

Lila steps are as folows

(−7.13 + 63.97) + (−54.8 − 3.4) = −71.1 + (−58.2) = −129.3

In the first bracket, Lila was suppose to subtract 7.31 from 63.97 since there is a negative in front of 7.31.

So, the correct expression should be

(−7.13 + 63.97) + (−54.8 − 3.4) = 56.84 + (−58.2) = 56.84 - 58.2 = −1.36

So, Lila's error was that she added -7.13 to 63.97 to get -71.1

Learn more about addition and subtraction here:

https://brainly.com/question/16812794

18c) Find the value of x in each case.

Answers

Answer:

x = 22.5°

Step-by-step explanation:

m∠DEA = 2x

DE || AB

m∠EAB = 2x  - by Alternate Interior Angles

Exterior angle = 6x, which equals 2x + 4x

m∠BEA = 4x

Exterior Angle 4x = 2x + 2x

m∠B = 2x

2x + 4x + 2x = 180°

8x = 180°

x = 22.5°

Exterior Angles of a Triangle:

An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.

In this example, we know that 6x has remote angles of ∠EAB and ∠BEA

We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x

Sum of angles in a Triangle:

The sum of all angles in a triangle is equal to 180°.

In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x

Since the sum of all angles = 180°:

8x = 180°

x = 180°/8

x = 22.5°

-Chetan K

Which are equivalent to 2 3/4 x 8/9? Check all that apply.

Answers

Answer:

The second, fourth one

Step-by-step explanation:

2nd: First thing you need to do is make 2 3/4 into a fraction so you would multiple 4x2 and add 3 which gives you 11. So you get 11/4 x 8/9

4th: Using the number from the 2nd you gte 11/4 x 8/9. WHen you multiple fractions you multiply straight accross so 11x8 and 4x9 which gives you 88/36

7. Compare the values of the 3s in the
number 5,338.

Answers

Answer:

the first 3 is 10 times the value of the second 3

use the given conditions to write an equation!!!!

Twice the sum of five and a number is 36

Answers

Answer:

2(5+x)=36

Step-by-step explanation:

Answer:

N+5=36

Step-by-step explanation:

hope this helps good luck!

Which three transformations described will result in a figure that has the same side lengths and angles as quadrilateral ABCD?
y
B
4
А
2-
D
O
4
4
c
-4
a vertical stretch by a factor of 3
a rotation of 90° clockwise about the origin
a reflection across the y-axis
a dilation by a factor of 1

Answers

Answer:

a translation 4 units right and 3 units up

a reflection across the y-axis

Step-by-step explanation:

on plato^ only got 2/3 right but its not this:

a vertical stretch by a factor of 3 (since . i got it wrong)

a horizontal stretch by a factor of 4( i also got this wrong on my second attempt)

Therefore the third one has to be one of these:

a dilation by a factor of 1/4

a rotation of  clockwise about the origin

Answer:

A translation 4 units right and 3 units up

A reflection across the y-axis

A rotation of 90 degrees clockwise about the origin

Step-by-step explanation:

which of the following pairs of sets given below are equal?​

Answers

Answer:

hi there is that OK for.

Step-by-step explanation:

ok bye por and thanks again and.

Suppose that your saving account earns interest at an APR of 1.8%, compounded daily. Determine the annual percentage yield (APY) of your saving account.

Answers

Apr is 1.8% , compound daily
The annual percentage yield of your saving account will be 1.82%

Any MATHEMATICIANS IN THE HOUSE PLS

Find the equation of the circle centre (-3,4) with radius 7 units

options
(a) x2+y2+6x+8y−24=0
(b) x2+y2-6x-8y+24=0
(c) x2+y2+6x-8y-24=0
(d) x2+y2+6x-8y+24=0​

Answers

Answer:

A po

Step-by-step explanation:

pa like po and pa point ty po

(x-(-3))² + (y-4)² = 7²

x2+6x+9+y²-8y+16= 49

x2+y²+6x-8y+25-49=0

x2+y2+6x-8y-24=0

answer:

B. x2+y2+6x-8y-24=0

Give the digits in the tens place and the tenths place.
74.89

Answers

Answer:

7 is in the tens place

.8 is in the tenths place

Step-by-step explanation:

Rounded:

75

Answer:

Step-by-step explanation:

74.89

Tens place = 4

Tenths place = 8

2. Use any strategy to multiply.
a. 4 x 79

Answers

The answer will be 316 because 4x79 = 316

Describe a situation and write an equation that you could use in your everyday life. ​

Answers

Answer:

Variable Costs

Step-by-step explanation:

Imagine that you are taking a taxi while on vacation. You know that the taxi service charges $9 to pick your family up from your hotel and another $0.15 per mile for the trip. So you simply make an equation as y = 0.15x+9. Math is also used in stocks we use math daily in our life, calculating prices for something we use basic multiplication and addition almost everyday.

write in Egyptian numerals 412​

Answers

Answer:

Step-by-step explanation:

A hose fills a hot tub at a rate of 4.41 gallons per minute. How many hours will it take to fill a 278-gallon hot tub? ​

Answers

Answer:

The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min

The hut tub volume is 300 Gallons

 

You can set up this problem as follows:

 

Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?

 

3.2  g    1min

300 g     ? min    = (300 gallons x 1min/ 3.2 gallons)=(300/32)min

 

= 93.75 min

Refer to the table. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.

Answers

2,222 voted for other candidates

Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)

Answers

Answer:

no c

Step-by-step explanation:

The screen on a computer monitor has a length of 3 inches and a width of 4 inches. What is the length of the diagonal to the nearest tenth of an inch?

Answers

Answer:

0.12? i think its wrong

Step-by-step explanation:

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ d^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} d=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ d = \sqrt{3^2+4^2}\implies d = \sqrt{9+16}\implies d = \sqrt{25}\implies d = 5\implies \stackrel{\textit{rounded up}}{d = 5.0}[/tex]



In a particular class of 23 students, 14 are men. What fraction of the students in the class are
women?

Answers

Answer:

9/23

Step-by-step explanation:

w=23-m

m=14

w=23-14=9

There are 9 women

9/23

Nicole is playing a video game where each round lasts 7/12 of an hour. She has scheduled 3 3/4 hours to play the game.
How many rounds can Nicole play?

Answers

Answer:

6 3/7

Step-by-step explanation:

What is the probability of getting an odd number total when two dice are rolled?
18/36
12/36
1/4
36/36

Answers

LCM =36

18/36×36 = 18

12/36×36 = 12

1/4×36 = 9

36/36 ×36 = 36

so it will be 1/4 since 9 is an odd number

A gym is selling monthly memberships for $40 each and reusable water bottles for $6 each. The gym needs to make $1248 by the end of the month.

Enter a linear equation that describes the problem.

An equation for the amount of money made by the gym is = $1248, where m is the number of monthly memberships sold, an

Answers

let w be the number of reusable water bottles sold, then

1248 = 40m + 6w

Or, in general form

20m + 3w - 624 = 0

The probability that Jessica is on time for a given class is 64 percent. If there are 53 classes during the semester, what is the best estimate of the number of times out of 53 that Jessica is on time to class? Round your answer to the nearest integer.
Provide your answer below:

Answers

Using the principle of probability, the estimated number of times Jessica will be on time is 34.

Given the Parameters :

Probability of being on time, p = 64% = 0.64

Total number of classes, n = 53

The best estimate for the number of times Jessica will be on time can be calculated thus :

Mean = np

Hence, we have ;

Mean number of times = (0.64 × 53)

Mean number of times = 33.92

Hence, the estimated number of times Jessica will be on time is 34.

Learn more : https://brainly.com/question/25678498

Simplify to the form of a square root of b

Answers

Answer:

If we substitute a and b to equal 6 for example

it would be

6

2

+

6

2

it would equal 8.5(1.d.p) as it would be written as

36

+

36

giving a standard form as

72

However if it was

6

2

+

6

2

it would equal 12 as the

and

^

2

would cancel out to give the equation 6+6

Therefore

a

2

+

b

2

cannot be simplified unless given a substitution for a and b.

I hope this isn't too confusing.

Step-by-step explanation:

During the evaporation
experiment, Sample A lost 0.983
grams, Sample B lost 0.092 grams, and
Sample C lost 0.979 grams. Place the
samples in order from least weight lost
to most weight lost.

Answers

Answer:

-  0.092g

- 0.979g

- 0.983g

Explanation: 0.83 > 0.979 > 0.092

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Sample lost is equal to ~

[tex]0.983 \: g \: (sample \: \: 1)[/tex]

[tex]0.092 \: g \: (sample \: \: 2)[/tex]

[tex]0.979 \: g \: (sample \: \: 3)[/tex]

If we arrange it in order from least weight lost to most weight lost, we will get ~

[tex] \fbox{Sample 2 < Sample 1 < Sample 3}[/tex]

what is the slope of the line?

Answers

The answer is -2…………..

14. Explain why a rotation of positive 180 degrees is the same as a rotation of -180 degrees.​

Answers

Answer:

t is the same because...

Step-by-step explanation:

turning -180 is like turning right turning left no matter how you turn you will still be in the opposite from which you started

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