A rectangular park has an area of 2/3 square mile.The length of the park is 2 2/3 the width of the park.What is the width of the park?

Answers

Answer 1

The width is 1/2 mi.

We know that area of a rectangle is length times width:

A = lw

The length is 2 2/3 the width, so
l = 2 2/3w

We will change this to an improper fraction; multiply the denominator by the whole number and add the numerator:
l = 8/3w

Using this for l in the area formula, we have:
A = (8/3w)(w) = 8/3w²
2/3 = 8/3w²

Divide both sides by 8/3:

2/3÷8/3 = 8/3w²÷8/3
2/3×3/8 = w²
2/8 = w²
0.25 = w²

Take the square root of both sides:
√0.25 = √w²
0.5 = w

Related Questions

The dimensions of an office conference room are 10 feet by 18 feet. If the conference room blueprint dimensions are 5 centimeters by 9 centimeters, what is the scale of the blueprint?
A. 1 centimeter = 9 feet
B. 1 centimeter = 2 feet
C. 1 centimeter = 5 feet
D. 1 centimeter = 10 feet

Answers

1 centimeter = 2 feet

if 5 lemons cost £1 and a bag of 4 oranges cost £1.80, how much more does one orange cost than the lemon?

Answers

One orange costs 0.45 so a lemon costs 55 cents more than one orange

One lemon cost 20 cents and one orange cost 45 cents then 45-20 is 25 cents

Alex is decorating a large box with pieces of ribbon. He needs 7 sections of ribbon with a length of (3/4) yard. He is going to cut the 7 pieces from a roll of ribbon that is 30.2 yards long

Answers

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE.
For this case what you need to know is how much tape Alex needs.
We have then:
"He needs 7 sections of ribbon with a length of 3/4 yard"
In other words:
(7) * (3/4) = 5.25 yards.
Therefore, the amount of tape that will be left over will be:
30.2-5.25 = 24.95 yards.
Answer:
after Alex cuts the 7 pieces will remain 24.95 yards of ribbon

Which of the following describes the roots of the polynomial function f(x)=(x-3)^4(x-6)^2? –3 with multiplicity 2 and 6 with multiplicity 4 –3 with multiplicity 4 and 6 with multiplicity 2 3 with multiplicity 2 and –6 with multiplicity 4 3 with multiplicity 4 and –6 with multiplicity 2

Answers

In mathematics, the multiplicity of a member of a multi-set is the number of belongings it has in the multi-set.
For example, this term is used to refer to the number of times a certain polynomial has a root at a certain point.
For this polynomial we have:
f (x) = (x-3) ^ 4 (x-6) ^ 2
3 with multiplicity 4 and 6 with multiplicity 2
Answer:
3 with multiplicity 4 and 6 with multiplicity 2

Answer:

3 with multiplicity 4 and -6 with multiplicity 2

What is greater than 1 kg

Answers

2kg is greater than 1kg if thats what you're asking

In which graph does y vary directly as x? It’s not C, I got it wrong.

Answers

The answer is A. X increases Y increases.

what is -10+2 because this is really confusing to me.

Answers

-8 hope this helps btw i am a pro at this kinda stuff lol have a nice day

If you need explaining think of it as....a number line. Zero is in the middle with negative numbers going down the left and positive numbers going down the right. Put a mark on -10 and move to the right 2 times. That would give you an answer of -8.

Hope this helps!
Let me know if i'm wrong.

solve for y
11x+7y=-35

Answers

Solve for y:
11 x + 7 y = -35

Subtract 11 x from both sides:
7 y = -11 x - 35

Divide both sides by 7:

Answer: y = -(11 x)/7 - 5

what are the slope and why intercept shown on the graph below

Answers

Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

[tex] \frac{ y_{1}- y_{2} }{ x_{1} - x_{2} } [/tex]

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

[tex] \frac{5(-5)}{0-4} [/tex]

Simplify:

[tex] \frac{5+5}{-4} [/tex]

[tex] \frac{10}{-4} [/tex]

[tex] \frac{-5}{2} [/tex]

The slope is [tex] \frac{-5}{2} [/tex].

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!

Hi there! The formula for finding the slope is y2 - y1/ x2 - x1, where the first x and y-coordinates are subtracted from the second x and y-coordinates. We have the two points on the graph marked. We will use (0, 5) and (4, -5) in this case. Here are the numbers that represent each:

y2 = -5
y1 = 5
x2 = 4
x1 = 0

Let's subtract. -5 - 5 is -10. 4 - 0 is 4. -10/4 is -2 1/2 in simplest form or -5/2 as a mixed number. We found the slope. The y-intercept is where the line crosses, where the x-axis is 0. In this case, we can see by the point given out that the slope intercept is 5. There. The slope is -5/2 and the slope-intercept is 5. The answer is B.

a coin is tossed twice what is the probability of the coin landing heads up both times

Answers

You have 2 choices on each toss. The total number of ways you can get a result is 2*2
The successful result is 1/2 * 1/2 = 1/4.
You can make a table to show this.

H H
T H
H T
T T

1/4 ways gives 2 heads. <<<< answer

which is smaller, half of 36 or one-seventh of 42

Answers

half of 36 = 36/2 = 18

one seventh of 42 = 42/7 = 6

one seventh of 42 is smaller than half of 36 by 12

hope this helps

Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer?
The second integer is negative.
The second integer is positive.
The second integer is greater than the first integer.
The second integer is less than the first integer.

Answers

The second integer is greater than the first integer

Answer:

c)The second integer is greater than the first integer

Step-by-step explanation:

In mathematics, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

A number line can be extended infinitely in any direction and is usually represented horizontally, with 0 in the middle and negative numbers on the left and positive numbers to the right of zero.

Thus a number line can be used to represent both positive and negative rational numbers as well as integers.

The numbers to the left are less than that to the right

Hence here the option c) is right

G let z be a random variable with a standard normal distribution. find the indicated probability. p(z ≤ −0.27)

Answers

The probability P(Z <= -0.27) in a standard normal distribution is determined by finding the corresponding right-tail probability of Z = 0.27 and subtracting it from 1, reflecting the distribution's symmetry.

To find the probability P(Z \<= -0.27), we use the properties of the standard normal distribution, which is symmetric about zero. The probability of Z scoring below -0.27 is equal to the probability of Z scoring above 0.27 due to this symmetry. Looking up the corresponding value for Z = 0.27 in a standard normal table, or using a calculator, we would find the right-tail probability. To get our desired left-tail probability for Z = -0.27, we subtract this from 1. For example, if the right-tail probability for Z = 0.27 was 0.3936, then P(Z \<= -0.27) would be 1 - 0.3936 = 0.6064.

Estimate by division ..70/9.24

Answers

the answer is 7.58

hope this helped :)
alisa202

Here we have to divide 70 by 9.24.

we can first covert the decimal 9.24 into fraction, shifting the decimal two units to the right and dividing by 100, we have

9.24 = 924/100

Now let us divide 70 by 924/100

in division of fraction we take reciprocal of second fraction and multiply it with first.

reciprocal of 924/100 is 100/924.

multiplying 70* 100/924, we have

[tex] 70 * \frac{100}{924} [/tex]

[tex] = \frac{7000}{924} [/tex]

converting into decimal we have

[tex] \frac{7000}{924} = 7.5757..... [/tex]

Experts/ace/geniuses

Answers

the answer would be D. 3/15

The answer is D. I hope this helped

What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?

Answers

y - 3 = -1/2(x - 2)
y - 3 = -1/2(x) + 1
y = -1/2(x) + 4

y intercept is 4

answer
y intercept (0,4)

What is the value of log0.5^16? a.–4.00 b.–0.25 c.1.51 d.2.41

Answers

the answer for your question is a. -4

Answer:

The correct option is a.

Step-by-step explanation:

The given expression is,

[tex]log(0.5)^{16}[/tex]

Use property of logarithm

[tex]loga^b=bloga[/tex]

[tex]log(0.5)^{16}=16\times log(0.5)[/tex]

The value of log(0.5) is -0.30103.

[tex]log(0.5)^{16}=16\times -0.30103[/tex]

[tex]log(0.5)^{16}=-4.81648[/tex]

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.

the average adult human has approximately 2.5 x 10 ^ 13 red blood cells + 7 x 10 ^ 9 white blood cells about how many times as great is the number of red blood cells than the number of white blood cells

Answers

To solve this problem, what we must do is use the following equation:
N = (red blood cells) / (white blood cells)
Substituting values we have:
N = (2.5 * 10 ^ 13) / (7 * 10 ^ 9)
N = 3571.428571
Nearest whole number:
N = 3571
Answer:
The number of red blood cells is 3571 as great as the number of white blood cells

Find the area under the curve y = 5/x3 from x = 1 to x = t. evaluate the area under the curve for t = 10, t = 100, and t = 1000. t = 10 t = 100 t = 1000 find the total area under this curve for x ≥ 1.

Answers

The area under the curve from x = 1 to x = t is [tex]-\frac{5}{2} (\frac{1}{t^2} -1)[/tex].

For, t = 10, 100, and 1000, the areas are 2.475, 2.49975, and 2.4999975 respectively.

The total area is 2.5.

Given that:

[tex]y=\frac{5}{x^3}[/tex]

In order to find the area integrate it with limits from x = 1 to x = t.

[tex]A=\int\limits^t_1 {\frac{5}{x^3} } \, dx[/tex]

This can be written as:

[tex]A=\int\limits^t_1 {5x^{-3} } \, dx[/tex]

[tex]=5[\frac{x^{-2}}{-2} ]_1^t[/tex]

[tex]=-\frac{5}{2} (t^{-2}-1^{-2})[/tex]

So, the area is [tex]A=-\frac{5}{2} (\frac{1}{t^2} -1)[/tex].

When t = 10,

[tex]A=-\frac{5}{2} (\frac{1}{10^2} -1)[/tex]

[tex]=2.475[/tex]

When t = 100,

[tex]A=-\frac{5}{2} (\frac{1}{100^2} -1)[/tex]

[tex]=2.49975[/tex]

When t = 1000,

[tex]A=-\frac{5}{2} (\frac{1}{1000^2} -1)[/tex]

[tex]=-2.4999975[/tex]

To find the total area, the value of t = ∞.

Now, ∞⁻² is always 0, since any negative number to the power of infinity is 0.

So, the area is:

[tex]A=-\frac{5}{2} (0-1)[/tex]

[tex]A=2.5[/tex]

Hence, the total area is 2.5.

Learn more about Area using Integrals here :

https://brainly.com/question/34160198

#SPJ4

Jim Abbott purchased a $60,000 recreational vehicle (RV) with a 40 percent markup on selling price. a. What was the amount of the dealer’s markup? Markup amount $ b. What was the dealer’s original cost? Original cost $

Answers

$42,857.14

Hope this helped!

Answer:

24,000 dealer paid

mark up : 36,000

Step-by-step explanation:

60,000 * 0.40= 24,000

60,000-24,000= 36000

A jar of crunchy peanut butter contains 1.35 kg of peanut butter. if you use 8.0 % of the peanut butter for a sandwich, how many ounces of peanut butter did you take out of the container?

Answers

1. You have that:

-The jar of crunchy peanut butter contains 1.35 kilograms of peanut butter.

-You use 8.0 % of the peanut butter.

2. You must convert 1.35 kilograms to ounces, as below:

1 kilogram=35.2739 ounces

=(1.35 kilogram)(35.2739 ounces/1 kilogram)
=1.35x35.2739 ounces
=47.61 ounces

3. Then, you have:

47.61 ounces-----100%
x-----8%

8%/100=0.08
100%/100=1

x=(0.08x47.61 ounces)/1
x=3.80 ounces

How many ounces of peanut butter did you take out of the container?

The answer is: 3.80 ounces

tossing a number cube numbered from 1 to 6 and getting an odd number that is less than or equal to 3

Answers

1/3 bc only 1 and 3 are odd and less than/equal to 3, and there’s 6 total outcomes.

2/6=1/3

Since 3 is half of 6 and it is basically 50% or 1/2

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle? 5, 10, or 25?

Answers

You know the hypotenuse of a right triangle with sides 3 and 4 has length 5, so the radius of this circle will be 5. The diameter is twice that.

The diameter of the circle is 10.

mrs. west is 14 years younger than her aunt. if mrs. west’s age in years is as much below 60 as her aunt’s age is over 40, how old is each?

Answers

Mrs. west is [tex]14[/tex] years younger than her aunt. if mrs. west’s age in years is as much below [tex]60[/tex] as her aunt’s age is over [tex]40[/tex], So, Mrs. West is [tex]43[/tex] years old, and her aunt is [tex]57[/tex] years old.

Let's represent Mrs. West's age as W and her aunt's age as A.

Given that Mrs. West is [tex]14[/tex] years younger than her aunt, we can write the equation:

[tex]W=A-14[/tex]

Also, it's given that Mrs. West's age is as much below [tex]60[/tex] as her aunt’s age is over [tex]40[/tex] . This can be represented as:

[tex]W=60-(A-40)[/tex]

Simplify the equation:

[tex]W=60-A+40\\W=100-A[/tex]

Now, we have two equations for [tex]W[/tex]:

[tex]W=A-14\\W=100-A[/tex]

Since both equations equal [tex]W[/tex], we can set them equal to each other:

[tex]A-14=100-A[/tex]

Now, solve for A:

[tex]A+A=100+14\\2A=114\\A=57[/tex]

Now, plug the value of [tex]A[/tex] into either equation to find [tex]W[/tex]:

[tex]W=57-14\\W=43[/tex]

So, Mrs. West is [tex]43[/tex] years old, and her aunt is [tex]57[/tex] years old.

COMPLETE QUESTION:

Mrs. west is [tex]14[/tex] years younger than her aunt. if mrs. west’s age in years is as much below [tex]60[/tex] as her aunt’s age is over [tex]40[/tex], how old is each?

Indicate whether each of the following fractions is proper or improper. a. 4⁄16 b. 75⁄70 c. 2⁄15 d. 6⁄6

Answers

75/70 is an Improper Fraction

An proper fraction is a fraction where the denominator is larger than the numerator.
An improper fraction is a fraction where the numerator is larger than or equal to the denominator.

a. 4/16
The denominator is 16. The numerator is 4. The denominator is larger than the numerator; thus, this is a proper fraction.

b. 75/70
The denominator is 70. The numerator is 75. The numerator is larger than the denominator; thus, this is an improper fraction.

c. 2/15
The denominator is 15. The numerator is 2. The denominator is larger than the numerator; thus, this is a proper fraction.

d. 6/6
The denominator is 6. The numerator is 6. The numerator is equal to the denominator; thus, this is an improper fraction.

solve the inequality -×/2 <4

Answers

Multiply by -2.
x > -8

_____
Multiplying or dividing by a negative number causes the direction of the relationship to change.

a puppy weighs 9/10 pound. it's mother weighs 8 times as much. how much does the mother weigh?

Answers

the answer would be 72/10 or 7 2/10

The answer would be 7 2/10 or 72/10 or 7.2

2/3 of the product of 3/8 and 16

Answers

Hi there!

To solve this problem, we should first find the product of 3/8 and 16 and multiply the solution by 2/3.

Let's find the product first.

3/8 × 16 = 48/8

Simplify.

48/8 = 48 ÷ 8 = 6

Now, we find 2/3 of 6.

6 ÷ 3 × 2 = 2 × 2 = 4

So, your answer is 4.

Hope this helps!

Find all integer solutions to the pair of congruences (if any) x ≡ 17 (mod 23) 70x ≡ 3 (mod 93).

Answers

First, note that [tex]93=3\times31[/tex], which gives

[tex]70x\equiv3\pmod{93}\implies\begin{cases}70x\equiv3\equiv0\pmod3\\70x\equiv3\pmod{31}\end{cases}[/tex]

so in fact we're dealing with the system

[tex]\begin{cases}x\equiv17\pmod{23}\\70x\equiv0\pmod3\\70x\equiv3\pmod{31}\end{cases}[/tex]

Now, 3, 23, and 31 are relatively prime, so we can use the Chinese remainder theorem. But before we do that, we need to rework and ultimately eliminate the coefficients of [tex]x[/tex].

From the second equivalence, it follows immediately [tex]x[/tex] is some multiple of 3; this is because [tex]70x[/tex] is divisible by 3, but 3 doesn't divide 70, so it must divide [tex]x[/tex].

For the third equivalence, we can write [tex]70x=62x+8[/tex]. Then modulo 31, we have that [tex]62x\equiv0[/tex], which leaves us with [tex]8x\equiv3\pmod{31}[/tex]. We want a congruence of the form [tex]x\equiv\cdots[/tex], and to get that we can multiply [tex]8x[/tex] and 3 by the inverse of 8 modulo 31.

To find this inverse, we solve for [tex]y[/tex] in the relation

[tex]8y\equiv1\pmod{31}[/tex]

by using the Euclidean algorithm, or making just making the observation that [tex]8\times4\equiv32\equiv1\pmod{31}[/tex], so [tex]8^{-1}\equiv4\pmod{31}[/tex]. Distributing 4 across the third equivalence in our system gives [tex]x\equiv4\pmod{31}[/tex].

So to recap, we now have

[tex]\begin{cases}x\equiv17\pmod{23}\\x\equiv0\pmod3\\x\equiv12\pmod{31}\end{cases}[/tex]

and we're ready to use the CRT.

As a starting point, let's take

[tex]x=(17)+(23)+(23)=63[/tex]

It's clear that taken modulo 23, the latter two terms vanish and we have a remainder of 17, as desired. 63 is already a multiple of 3, but just to avoid doing more work later, let's multiply each term by 3 anyway to keep getting a remainder of 0:

[tex]x=(17\times3)+(23\times3)+(23\times3)=146[/tex]

Now multiply the first two terms by 31 to make sure they vanish when taken modulo 31. Meanwhile, [tex]23\times3\equiv69\equiv7\pmod{31}[/tex], but we want to get 12, so we would multiply this term by the inverse of 7 mod 31, and again by 12.

We can make a quick observation that [tex]7\times9=63=31\times2+1[/tex], so [tex]7^{-1}\equiv9\pmod{31}[/tex]. Alternatively, you can use the Euclidean algorithm to find this inverse. Either way, we get

[tex]x=(17\times3\times31)+(23\times3\times31)+(23\times3\times9\times12)=11,172[/tex]

So we're told that

[tex]x=11,172+(23\times3\times31)k=11,172+2139k[/tex]

is our solution set, where [tex]k\in\mathbb Z[/tex]. We can "simplify" this slightly by finding the least positive residue modulo the product of our moduli, which would be

[tex]11,172\equiv477\pmod{2139}[/tex]

so we end up with

[tex]x=477+2139k[/tex]

for integers [tex]k[/tex].

20 POINTS!!! Of 35 jewelers in her town, Naomi polled the 5 biggest to learn about the latest jewelery trends. Her sample is (biased; Not biased).The sample is (representative; not representative) PLZ ANSWER IN THAT ORDER!! I NEED THIS ASAP

Answers

Answer:

Biased / Not Representative

Step-by-step explanation:

The answer is biased because she is asking only the 5 biggest jewelers in her whole town, not the whole 35. It is also not representative because it is not representing allts of of the though every jeweler. Hope this helps <3

PS. Brainliest is wrong.

Answer:

I hope this helps

Step-by-step explanation:

Other Questions

Please show work! Thank you Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x+1 intersect are the solutions of the equation 4x = 2x+1. (4 points) Part B: Make tables to find the solution to 4x = 2x+1. Take the integer values of x between 2 and 2. (4 points) Part C: How can you solve the equation 4x = 2x+1 graphically? (2 points) Political psychologist margaret hermann found that leaders can be divided into two foreign policy orientations based on their combination of personality traits. what are these orientations? Intrapleural pressure __________ during expiration. The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? a.Likely b.Certain c.Unlikely d.Impossible Which of the following choices BEST identifies the poems main symbol and the meaning behind the symbol? A. The difference is symbolic of prejudice. B. Two roads is symbolic of choices in life. C. A wood is symbolic of a forest. D. One traveler is symbolic of a higher power. Which is the end result of cytokinesis? CHECK MY ANSWERS PLEASE, I WILL GIVE MEDAL/BECOME A FAN.1) During the 1950s, American consumersa)had less money to spend.b)bought fewer goods on credit.c)purchased new labor-saving appliances.~MY ANSWERd)did not respond well to commercial advertisements.2) The televisiona)had little impact on family life.b)offered few programs for women.c)changed the way politicians ran for office.~MY ANSWERd)was too expensive for most Americans to buy. In Act 5, why is Hippolyta hesitant to watch the play? Question 17 options: She has seen Pyramus and Thisbe performed many times. She is afraid of the lion and the swords. She doesn't want the actors to be made fun of when they have worked hard and put in a lot of effort. None of these. This is the general name for an economic system characterized by a central authority which makes major economic decisions. Which situation is an example of an internal conflict? A. A woman tries to survive in the woods after being stranded in a plane crash. B. A boy fears that he is evil after he steals food to feed his starving family. C. A girl battles mysterious creatures as she tries to save her kidnapped family. D. A man struggles to stop his home from being consumed by a wildfire. True or false fishing communities are not nomadic Who do you think the skinny maids and old man are, and why do you think they act scared and speak in whispers? Does Bruno understand why they behave this way? What is the perimeter of rectangle EFGH? + units + units22 units39 units The form of speech presentation that involves organizing, preparing notes, and rehearsing is called which piece of writing is the best example of a narrative?A. a school paper about what one did over the summerB. a document arguement between two politicians. C. an encyclopedia of a cultures popular mythsD. an emotional and detailed description of the cascades People with type o blood are universal donors but can only receive blood form other type o donors Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 1515 in. by 99 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume. Explain what defines direct variation. Then, check which of the following tables include directly proportional quantities x and y x 1 2 3 4 y 7 14 21 28 A battery charger is connected to a dead battery and delivers a current of 3.5 a for 4 hours, keeping the voltage across the battery terminals at 16 v in the process. how much energy is delivered to the battery?