a scale drawing of Lafayette square is 8 inches long and 4 inches wide. The actual park is 160 feet wide. What is the actual area of the park, in square yards?

Answers

Answer 1

Answer:

Lafayette Square is about 5688.89 square yards  

Step-by-step explanation:

The scale factor( ratio between the two sides) is 8 inches long to 4 inches wide or 2 to 1;  2 inches to one 1

Given the actual park is 160 feet wide ( need this measurement in inches).

so the actual part is 160 · 12 = 1920 inches wide.

Using the ratio long/ wide = long/ wide 2/1 = ?/1920.  The part is 3840 inches long.

Answer need to be in yards:  divide by 36 because 36 inches = 1 yard.

Long = 3840/36 = 320/3 yards

wide = 1920/36 = 160/3 yards

Actual area = L · W

                   = (320/3)·(160/3)

                   = 51200/9

                    = 5688.89 square yards  


Related Questions

Michael bought 8 new Pokemon cards to add to his collection.
The next day his dog ate half of his collection. There are now only
40 cards left. How many cards did Michael start with?

Answers

Answer:

72

Step-by-step explanation:

I like to work backward with problems like these. I'll start out with 40. Then it says that his dog ate half of this number. Instead of dividing by 2, I'll have to multiply by two since I'm working backward.

So, now I have 80, the number of cards he had before his dog ate half of the collection. We also see that he bought 8 new Pokemon cards and added these two his collection. Instead of adding 8, I'll subtract 8 from 80, giving me 72. So, this is his original amount.

If I take this number and go back through the scenario, I can check my work.

72 + 8 = 80, 80/2 = 40

-79=7w+3(4w-1) help quick with steps

Answers

Answer:

-4=w

Step-by-step explanation:

-79=7w+12w-3

-79=19w-3

-79+3=19w-3+3

-76=19w

-76÷19=19w÷19

-4=w

Answer:

w = -4.

Step-by-step explanation:

-79 = 7w + 3(4w - 1)

7w + 12w - 3 = -79

19w = -76

w = -4.

The scale on a map is 2cm =70 miles. If the distance between two cities measure 5.8cm on the map what is the actual distance

Answers

Answer:

203cm

Step-by-step explanation:

I think that's the answer bc 70divided by 2=35

35x5.3 =203cm

help this is hard for me, please..I give brainliest

also this is 20 points

Answers

Answer:

-14 Mexican pesos means you have a debt of $0.67 at today's exchange rates.

Step-by-step explanation:

Graph the line with slope -1/3 passing through the point (2, 1).

Answers

Answer:

Step-by-step explanation:

y = mx + b

y = -x/3 + b

1 = -2/3 + b

b = 5/3

y = -x/3 + 5/3

Find the value of X please and thank you :)

Answers

Answer:

143 degrees

Step-by-step explanation:

The shape is a hexagon therefore the total angle will be 720 degrees.

The sum of the total angle of the shape is 434 degrees

So to get the answer the equation is:

434 + x + x = 720 degrees

So x =  143 degrees.

Question
Francie rode her bike for 2.5
hours at 12 miles per hour. How far did she ride?

Answers

Answer:

30 miles

Step-by-step explanation:

2.5 h

12 miles per hour

12x2.5=30

Isn't 3 1/2 instead of three and Caleb wrote 1/4 of the song?

Answers

Answer:

Need a bit more context

Step-by-step explanation:

Can you guys show me where they went wrongg

Answers

9514 1404 393

Answer:

  43.70 ft

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides. The correct computation is ...

  Hypotenuse is √(7² +7²) = √(49 +49) = √98 = 7√2

  Perimeter of pentagon is ...

     7 +7√2 +7√2 +7√2 +7 =

     7 +21√2 +7 =

     14 +21√2 ≈ 14 +29.70 =

     Perimeter is approximately 43.70 ft.

__

There are two errors:

side lengths were used instead of their squares to find the hypotenusecontents of radicals were added, rather than coefficients of them

Both errors are easy to find if you know what the computation is supposed to look like.

The Pythagorean theorem involves a sum of squares.

in an 16 ounce bag there are 24 pretzals. how many pretzals will be in a 5 ounce bag

Answers

Answer:

about 7 pretzels

7.5 pretzels

Step-by-step explanation:

24 pretzels / 16 ounces = x / 5 oz

solve for x:

x = 5 oz * (24 pretzels / 16 oz)

oz cancels  

x = 7.5 pretzels

7.5 pretzels, or roughly 7 pretzels

The cost of 12 pounds of apples costs $35.50. What is equation for the cost in dollars, d, for the cost of a pound, p of apples

Answers

Answer:

12p = 35.50d

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Divide the amount of money by the number of apples to get the cost of a pound.

12) Triangle DEF is the image of triangle ABC
after a series of rigid motion transformations.
B
A
F
D
E
Which one of the following statements is true?
1) The measure of angle A is the same as the
measure of angle E.
2) Segment AC has the same length as
segment DF.
3) One transformation in the series must have
been a dilation.
4) Segment EF is congruent to segment AC.

Answers

Step-by-step explanation:

the correct answer is :

2) Segment AC has the same length as segment DF

9/2 divided by 2/9=_ the lesson is called dividing fractions

Answers

9/2 divided by 2/9
KEEP CHANGE FLIP
keep 9/2 as it is
change your division sign to multiplication
flip your last fraction

ex. 2/9 / 9/2

2/9 x 2/9
(now multiple across)
2/9 x 2/9= 4/81

Jared is behind on his math homework. He has 12 lessons of math to do before Monday. He
can answer two math problems each minute. If a typical lesson has 25 problems, how much
time should he expect to spend doing his math? Show all work and show your answer in
hour and minutog

Answers

Step-by-step explanation:

the numbers of the problems =

12 × 25 = 300

each minute he can answer 2 problems

therefore, the time that he expect to finish the problems =

300/2 × 1 minute = 150 minutes

= 2 hours and 30 minutes

2 questions he can solve 1 min

per question he need 1/2min or 0.5min

Now

Total problems

25(12)300

Total time

300(0.5)150min

2h 30min

Alice got these scores in her exam English 45 out of 50. music 45%. art 25 out of 40. maths 85% which subject did Alice get her highest and lowest scores in .​

Answers

Answer:

English: 45/50 = 0.9 = 90%

Music: 45%

Art: 25/40 = 0.625 = about 63% (if you round up)

Math: 85%

As you can see: English - highest | Music - lowest

Alice got her highest score in Maths, and her lowest score in Music.

To find out which subject Alice got her highest and lowest scores in, let's compare the scores in each subject.

English: 45 out of 50 = 45/50 = 0.9 (90%)

Music: 45 % = 45/100 = 0.45

Art: 25 out of 40 = 25/40 = 0.625 (62.5%)

Maths: 85 % = 85/100 = 0.85

Now, we can see that the highest score is in Maths (85%) and the lowest score is in Music (45%).

So, Alice got her highest score in Maths, and her lowest score in Music.

Learn more about percent here

https://brainly.com/question/21286746

#SPJ2

Adam volunteers once a month to make meals for the elderly. He has 81 pieces of chicken, 27 pieces of corn, and 54 rolls.
Each plate must have exactly the same number of pieces of each food item and all the food must be used.
What is the greatest number of plates he can make?

Answers

Answer:

27 plates

Step-by-step explanation:

81 ÷3=27 chicken pieces

27 pieces of corn (one piece of corn per plate)

54÷2=27 two pieces of bread per plate

What is the solution set of {x | x < -3} ∩ {x | x > 5}?


A. the empty set

B. all numbers except -3 and 5

C. all real numbers

D. the numbers between -3 and 5


2.
What is the solution set of {x | x < 2}U{x | x ≥ 2}?

A. all numbers less than -2 and greater than 2
B. all real numbers
C. the empty set
D. the numbers between -2 and 2

3.

Which of the following describes the graph of {x | 1 < x < 2}?

A. open circles on 1 and 2, line segment between
B. open circles on 1 and 2
C. open circles on 1 and 2, arrows pointing out
D. no solution

Answers

Answer:

1) A, 2) B, 3)A

Step-by-step explanation:

#1

Intersection of the two given sets is the empty set as the sets cover two different intervals without common elements.

Correct choice is A

#2

Assume there is a union sign between sets.

The union of the two sets is both of them.

Correct choice is B

#3

Both the points are excluded, so both ends are open circles and the graph covers the interval between them.

Correct choice is A

Your answers would be:

1.)   A

2.)  B

3.)  A

Find the product. 43x8= ( 40=3) x 8

Answers

Answer:

=344

Step-by-step explanation:

(43)(8)

=344

"Find the measures of two supplementary angles if their measures are 3:7
Since the ratio is 3:7 we can assume that the angles are equal to 3x and 7x?"
3x+7x=180° (180° since a line is equal to that)
then solve
10x=180
x=18
then substitute x=18 in 3x and 7x
3x=54°. 4x=126°
126° and 54°

Answers

Let the two angles be 3x and 7x.

Supplementary angles add up to 180 degrees.

Therefore:

3x + 7x = 180

10x = 180

x = 18

3x = 3 * 18 = 54

7x = 7 * 18 = 126

Answer:

The two angles are 54 degrees and 126 degrees.

Whats x for both of these equations

Answers

Answer:

x = (-1)y = 3

Step-by-step explanation:

y = -2x + 1

y = x + 4

2x + y = 1 _______(1)

-x + y = 4_______(2)

[tex] - x + y - (2x + y) = 4 - 1 \\ - x + y - 2x - y = 3 \\ - 3x = 3 \\ x = \frac{3}{ - 3} \\ x = - (1) \\ [/tex]

x = (-1),

[tex]2x + y = 1 \\ 2( - 1) + y = 1 \\ - 2 + y = 1 \\ y = 1 + 2 \\ y = 3 \\ [/tex]

8. A submarine's elevation is -14.5 feet relative to sea level. A shark is
swimming at an elevation -56.8 feet. What is the difference in elevation
between the submarine and the shark?
a) 71.3 feet b) 56.8 feet c) 42.3 feet d) 14.5 feet

Answers

Answer:

C.)42.3

Step-by-step explanation:

If it's difficult to do subtraction with negatives, switch them to positive and subtract 14.5 from 56.8. In order to get a lesser negative number(negatives closer to -1 are greater), you have to add a positive number. My math teacher taught me this simple but effective method. This method is used for multiplication and division but it helps:

(Hate=Negative and Love=Positive)

If you hate to hate, you love.(neg. x neg=pos.)

If you hate to love, you hate(neg. x pos.=neg.)

If you love to love, you love(pos. x pos.=pos.)

If you love to hate, you hate(pos. x neg.=neg.)

c) 42.3 feet

Step-by-step explanation:

Is known :

A submarine's elevation is -14.5 feet relative to sea level. A shark isswimming at an elevation -56.8 feet.

Asked :

What is the difference in elevation between the submarine and the shark?.

Aswered :

A submarine's elevation is -14.5 feet relative to sea level - A shark isswimming at an elevation -56.8 feet

= (-14,5) - (-56,8)

= 42,3

Please help i need help

Answers

Answer:

10x^3+16

Step-by-step explanation:

f(g(x)) means that for that for "x" number of tickets, he is making that amount.

Hope this helps

Sasha goes on a cave tour with her family. She spots a mysterious crystal that is shaped like a cube. The crystal has edge lengths of 5 centimeters. What is the volume of the crystal?

Answers

Answer:

Sasha

Step-by-step explanation:

Sasha should figure out what the volume of the crystal is by herself.

35 divided by 8693 long division or decimal form thank u

Answers

Answer:

0.004026228

Step-by-step explanation:

[tex]\frac{35}{8690} \\\\[/tex]

we would add zeros past the decimal point to the 35 to get

35.0000/8690

then 8690 goes into 35000 4 times and so on so forth until you get the answer 0.004026228

its easier to explain with the long division form where you can show the subtraction and carrying completely

10 + 10+ 10 = 4x
What does x equal?

Answers

Answer:

x=7.5

Step-by-step explanation:

10+10+10=4x

30=4x

x=7.5

Answer:

x=7.5

Step-by-step explanation:

First you would simplify:

30=4x

Next isolate x:

30/4=x

again, simplify:

7.5=x or, 7 1/2=x

Solve for x: 3- (2x-5)<-4(x+2)

Answers

Answer:

x < -8 orx ∈ ( - ∞, - 8)

Step-by-step explanation:

3 - (2x - 5) < - 4(x + 2)3 - 2x + 5 < -4x - 84x - 2x < - 8 - 82x < - 16x < - 8

or

x ∈ ( - ∞, - 8)

[tex]\\ \sf\longmapsto 3-(2x-5)<-4(x+2)[/tex]

[tex]\\ \sf\longmapsto 3-2x+5<-4x-8[/tex]

[tex]\\ \sf\longmapsto -2x+8<-4x-8[/tex]

[tex]\\ \sf\longmapsto 2x-8<4x+8[/tex]

[tex]\\ \sf\longmapsto 2x-4x<8+8[/tex]

[tex]\\ \sf\longmapsto -2x<16[/tex]

[tex]\\ \sf\longmapsto 2x<16[/tex]

[tex]\\ \sf\longmapsto x<-8[/tex]

The digits in 5512 are rearranged to form all possible 4-digit positive integers. Find the last three digits of the sum of all such positive integers.

Answers

Answer:

329

Step-by-step explanation:

There are possible:

4*4 = 16 4-digit numbers and since 5 is repeated, the number becomes:4*3 = 12

The numbers are:

125515251552215525152551512551525215525155125521

The sum is:

43329

The last 3 digits of the sum is 329

2
f(x) = -x2+x+6
-2
a
-1
4
0
b
1
6
2
с
a=
b =
C=

Answers

The answer is -x1+6 because you just need to combine the X’s

oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. what was the total average speed

Answers

90 miles + 120 miles = 210 total miles

1.5 hours + 3 hours = 4.5 total hours.

Average speed = total distance /  total time

Average speed = 210 miles / 4.5 hours = 46 2/3 miles per hour

The total average speed for Oliver is 42 miles per hour

Given the following data:

Distance A = 90 milesDistance B = 120 milesTime A = 1.5 hoursTime B = 3 hours

To find the total average speed:

First of all, we would determine the total distance and total speed:

[tex]Total \; distance = Distance\;A + Distance\;B\\\\Total \; distance = 90+120\\\\Total \; distance = 210\;miles[/tex]

[tex]Total \; time = Time\;A + Time\;B\\\\Total \; distance = 1.5+3\\\\Total \; distance = 4.5\;hours[/tex]

Mathematically, the average speed is given by the formula:

[tex]Average\;speed = \frac{Total\;distance}{Total\;time}[/tex]

Substituting the parameters into the formula, we have;

[tex]Average\;speed = \frac{210}{4.5}[/tex]

Average speed = 42 miles per hour.

Read more: https://brainly.com/question/17742679

Don is 6 feet tall. At a given time of day, he measures his shadow to be 10 feet long.
At the same time, he measures the shadow length of a nearby tree to be 38 feet. How
tall is the tree?
Round your answer to the nearest whole foot.

Answers

Answer:

Ok, so with this problem, you would start with the equation 6/10=x/38.

Then, cross multiply:

38(6)=10x

After, you would:

38 x 6 = 228

Then:

228/10

Lastly:

x=22.8m which when rounded equals 23 ft.

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