A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______

(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is ____________ feet.

The length of the field is ____________ feet.

Answers

Answer 1
Let width be xLength=6x

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Length=6(85)=510ftWidth=85ft

Related Questions

please help asap and please give real answers

Answers

Answer:

x = 2, x = - 5

Step-by-step explanation:

To factor it, you can split the middle term to get:

x² - 2x + 5x - 10 = 0

Then, you can factor the first two and the last two to get:

x (x - 2) + 5(x - 2) = 0

And if you divide both sides by (x - 2) you get:

(x - 2) (x + 5) = 0

Finally, this can be solved by the Zero Product Property which states that if x*y=0, then x and/or y has to be equal to 0. If you apply it to the eqaution you get:

x - 2 = 0, x + 5 = 0

which results in:

x = 2, x = - 5

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with
the same number of each fruit in each basket. What is the greatest number of fruit
baskets he can make? How many of each type of fruit will be in the baskets?

Answers

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3

What is the total number of possible four-card poker hands if the hand contains exactly one heart?

Answers

Answer:

Step-by-step explanation:

Assuming no wild cards ie. 52 card deck.

13 ways to fill the heart card

39 ways to fill the second card

38 ways to fill the third card

37 ways to fill the fourth card

13(39)(38)(37) = 712,842

. एक श्रोताकक्ष की लम्बाई तथा चौड़ाई का अनुपात 3 : 2 है. यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों (d) 2200 वर्ग मा० का क्षेत्रफल 1500 वर्ग मीटर हो, तो इस कक्ष की ऊँचाई कितनी है ?​

Answers

Answer:

.

Step-by-step explanation:

Answer: 2 है यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों का क्षेत्रफल 1500 वर्ग मीटर हो तो

Step-by-step explanation:

A recipe calls for 2 cups of sugar for each 5 cups of flour. How many cups of sugar needed for 15 cups of flour?

Answers

Answer:

6 cups of sugar

Step-by-step explanation:

2/5=x/15

x=6

Which of the following is a solution to the given equation? y = -3x - 7

Answers

Answer:y = 3(-2) - 7

Step-by-step explanation:

a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared centimeters what is the area of the rectangle?​

Answers

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!


Find the slope of the line passing through the points (-4, 7) and (-2, 2)

Answers

Answer:

-5/2

Step-by-step explanation: 2 - 7 = -5 so that is your numerator and -2+ 4=2 is your denomonitaor.

Simplify.
3 √ b^2
-.2√x^2

Answers

Answer:

[tex]1.3 \sqrt{b {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex]3b[/tex]

[tex]2. - 2 \sqrt{x {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex] - 2x[/tex]

In fast will give brainly

Answers

☆Answer :

= 1 × ⅔ × 5/3

= ⅔ × 5/3

= 10/9

= 1 1/9 ft³ (D.)

Solve |x – 4| + 6 = 17.
A. x = 15 and x = -7
B. x = 15 and x = -15
C. x =-15 and x = -7
D. x = -15 and x = 7

Answers

Answer:

A

Step-by-step explanation:

15 and -7

|x-4|=17-6

|x-4|=11

x-4=11

x-4=-11

x=11+4

x=15

x=-11+4

x=-7

Mrs. Carol body toaster oven for 18 nine dollars sales tax is 7.75% what was the total including tax that she spent for the toaster oven

Answers

18 nine dollars? what do you mean

Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
Previous Page
Next Page
Page 2 of 11

Answers

Answer:

I don't know answer what is

please help :,) it’s due tomorrow and i’m so confused

Answers

Answer:

I can't see the file or I can't open the file

Step-by-step explanation:

PLEASE HELP ME!!! ASAP SHOW YOUR WORK!!! Given cos x =√15/4 and 90°< x 180°, find the exact value for cos 2x​

Answers

Answer:

x=34 because you simplify it and then take 45 and at it to it

what is the point slope form?​

Answers

Answer:

2

Step-by-step explanation:

paki sagot po kailangan na kasi..

thank you in advance ☺​

Answers

1. 5

2.2

3.2,5

4.2,5

5.2

HOPE IT HELPS:)

PLS FOLLOW:)

#BRAINLIEST:)

6/4 on a number line

Answers

Answer:

Here plz leave review thx

Step-by-step explanation:

A random sample of 500 registered voters from one state was obtained. The party affiliation and sex of each voter was recorded and is listed in the following table. (Follow standard statistical rounding rules for all computations.)

a) A journalist who writes for a statewide newspaper wants to construct a confidence interval for the true proportion of registered voters that are affiliated with Party X. Verify that all requirements for constructing such a confidence interval are met.


b) Construct a 99% confidence interval for the true proportion of registered voters that are affiliated with Party X. Show all work. (Hint: the critical value, the margin of error, p, q, the computation, etc.)


c) The Governor of the state believes that a majority of all registered voters in the state are affiliated with Party X because the confidence interval includes values greater than 50% Does the data in the table support the Governor’s belief? Justify your answer.

Answers

Using the z-distribution, it is found that:

a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.

b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

Item a:

The requirement is that there are at least 10 successes and 10 failures in the sample.

244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.

Item b:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

244 out of 500 voters are affiliated with party X, hence:

[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]

The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

Item c:

Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

A similar problem is given at https://brainly.com/question/16807970

Find the simplified product. 5/n+1 times n+1/n+3

Answers

[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]

Simplify the expression
( 3n • 2n^3)^2

Answers

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

Multiply 3 and 2 to get 6.

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

Expand (6n⁴)².

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

Calculate 6 to the power of 2 and get 36.

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

4. A) Joe types 200 words in 12 minutes, how many does he type per minute?

Answers

Answer:

Step-by-step explanation:

So, we divide 1200 by 25 to find out how many words per minute he types.

1200 / 25 = 48

So, he types 48 words per minute.

Now, we multiply this by 45 to find out how many words he can type in 45 minutes.

48 x 45 = 2,160

Joseph can type 2,160 words in 45 minutes!

Help help help help help help help help help

Answers

Answer:

-4

Step-by-step explanation:

if you add negative 4 to each of the x's, it would give you the number of y

Answer:

-4

Step-by-step explanation:

the explanation is up in my answer

Suppose that we compute a 90% confidence interval for an unknown population mean . Which of the following is a correct interpretation?
90% of all possible

Answers

(Use the 68‑95‑99.7 rule.) Suppose that we compute a 90% z confidence interval for an unknown population mean . Which of the following is a correct interpretation? 90% of all possible confidence intervals computed from samples of the same size would contain .

A statue in a harbor is approximately 295 feet tall. If the angle of the elevation of a ship to the top of the statue is 21.7 degrees, how far is the ship from the statue’s base?

Answers

Answer:

741.3 feet if rounding to the nearest tenth

Step-by-step explanation:

You will do 295/tan21.7 which gives you approximately 741.3 feet

What is the next number in the pattern?

9 4 7
—, —, — . . .
10 5 10

Answers

Answer:

3/5

The nth term of an AP = a + d(n -1)

By the looks of it, the next term in the sequence is the 4th term.

a = 9/10

d = 4/5 - 9/10 = -1/10

9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)

9/10 - 3/10 = 6/10

3/5

-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp​

Answers

Given info: -17/2 < (-1/2) - 4x ≤ 15/2

Find the value of x ?

Explanation:

Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2

⇛ -17/2 < (-1-8x)/2 ≤ 15/2

On multiplying with 2 then

⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)

⇛ -17 < -1-8x ≤ 15

On adding 1 in the in-equation then

⇛ -17+1 < -1-8x+1 ≤ 15+1

⇛ -16 < -8x ≤ 16

On dividing by 8 in the in-equation then

⇛ -16/8 < -8x/8 ≤ 16/8

⇛ -2 < -x ≤ 2

⇛ 2 > x ≥ - 2

⇛ -2 ≤ x < 2

⇛ x € [-2,2)

Answer:The solution set = { x : -2 ≤ x < 2, x€R }

The possible values of x = -2,-1,0,1

If you have any doubt, then you can ask me in the comments.

9.3 of sugar is need for every cake made how much sugar is needed for 6 cakes

Answers

Answer:

484836281726261919292762

Answer:

55.8

Step-by-step explanation:

if 1 cake needs 9.3, 6 cakes would need (6*9.3)

9.3 * 6 = 55.8

Solve the equation 3/4-4x+7/2=-9x+5/6 show work

Answers

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer

A box has 10 red, 5 blue and 5 yellow balls. Draw 6 balls one by one with replacement. Then calculate the probability that

Answers

Answer:

I would say its a 16.5 %

Step-by-step explanation:

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