A piece of land is 3 miles wide. It is 4 1/6 times as long as it is wide. How long is the piece of land?

Answers

Answer 1

Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]

Step-by-step explanation:

Given

A piece of land is 3 miles wide

It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide

Suppose width be b

So, length becomes [tex]\frac{24+1}{6}b[/tex]

Also, [tex]b=3\ \text{miles}[/tex]

[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]


Related Questions

Stella rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that she will roll a number less than or equal to 5? \text{impossible}impossible \text{certain}certain \text{unlikely}unlikely \text{likely}likely

Answers

The probability of getting a number less than or equal to 5 is 5/6.

What is probability?

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".

For the given situation,

Stella rolls a standard six-sided die, numbered from 1 to 6.

The sample space for rolling a single die = {1, 2, 3, 4, 5, 6}

⇒[tex]n(s)=6[/tex]

The event is getting a number less than or equal to 5.

E = { [tex]{1, 2, 3, 4, 5}[/tex] }

⇒[tex]n(e)=5[/tex]

Thus the probability of getting a number less than or equal to 5,

[tex]P(e) =\frac{n(e)}{n(s)}[/tex]

⇒[tex]P(e)=\frac{5}{6}[/tex]

Hence we can conclude that the probability of getting a number less than or equal to 5 is 5/6.

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Where can you buy a ruler that is 3 feet long?

Answers

It’s called a yard stick, and at a hardware store.

Answer:

At a yard sale

Step-by-step explanation:

Can you please help me out????

Answers

Answer: B.) 19.6 feet.

Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.

Label: AC=6 ft,  m<A=73° and <C is a right angle.

Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.

Step-by-step explanation:

Q12.
Which relation is a function?

A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}

B
{(-2, -2), (0, 0), (1, 1), (2, -2)}

C
{(7, 4), (8, 8), (10, 8), (10, 10)}

D
{(4, 0), (4, 1), (4, 2), (4, 3)}

Answers

D I’m guessing since it’s the only one that makes sense

I don’t understand it help and add a explanation for me pls :}

Answers

the scale factor is 8, because 12 x 8 equals 96, and you’re gonna multiply 8 on the other numbers as well if you have to

ello i need help -^-

Answers

Shahdvdbnsvavalkavsvs

Answer:

d =90 e=52 f=52

Step-by-step explanation:

The angle that are crosppsinding have equal angle.

like f=e.

Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5

Answers

Answer:

5/6

Step-by-step explanation:

Divide it

The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

What is division?

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;

[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]

Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

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Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22, ... d =?​

Answers

Answer:  d = -8

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

Explanation:

Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.

term2 - term1 = 2-10 = -8term3 - term2 = -6-2 = -8term4 - term3 = -14-(-6) = -14+6 = -8term5 - term4 = -22-(-14) = -22+14 = -8

We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.

Note how:

10-8 = 22-8 = -6-6-8 = -14-14-8 = -22

help me with this question

Answers

Answer:

960 cm³ I think it may be correct

Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?

Answers

Answer:

Solution given:

1 packet=600g

we have

1 tone =1000000g

3tone=3000000g

we have

no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]

=[tex] \frac{3000000}{600} [/tex]

=5000

packets she needs is 5000.

Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.

Answers

Answer:

1.73 units

Step-by-step explanation:

The area of a triangle with sides a, b, c and angles A, B, C is given as

Area = 1/2 bc sin A

Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area

= 1/2 * 4 * 1 * sin 120

= 2 sin 120

= 2 * √3/2

= √3

= 1.732

To the nearest hundredth = 1.73

In a standard deck of card there are 52 cards total. Find the number of possible 5 hand cards that contain 3 queens and 2 kings.

Answers

Answer:

The probability of choosing 3 kings and 4 queens out of the 8 (4+4) kings and queens is given by 0.42857

Step-by-step explanation:

There are 4 queens and 4 kings in a deck of 52 cards. So we have to choose 5 cards having 3 queens and 2 kings out of the 52

Therefore the combinations can be written like this 8C5= 56 ways

And the probability this can be chosen is  given by

4C3*4C2/8C5

=4*6/56

=24/56

=0.42857

The probability of choosing 2 kings and 3 queens out of the 8 (4+4) kings and queens is given by 0.42857 or 24/56

One gallon of gasoline in Buffalo,new York costs $2.29 .Across the border in Toronto,Canada, one liter of gallon costs $0.91

Answers

Complete question :

One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto?

Answer:

$3.458

Step-by-step explanation:

Given that :

Cost per gallon in Buffalo, New York = $2.29

Cost per Litre in Toronto, Canada = $0.91

Number of litres in 1 gallon = 3.8

The cost per gallon in Toronto, Canada will be :

3.8 * cost of a Litre

3.8 * $0.91 = $3.458

Hence, cost of a gallon in Toronto, Canada = $2.73

A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.

Answers

Answer:

Students who attend a private college are more likely to travel a farther distance to attend college.

Step-by-step explanation:

Find the area of the trapezoid shown below

Answers

Answer:

A=a+b

2h

Step-by-step explanation:

A rectangle has an area of 70 m2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.

Answers

Answer:

-7 and - 9

Step-by-step explanation:

Area of rectangule is length *width

HELPPPPPPPP Write the standard form of an equation

Answers

Answer:

See the Answer Below:) I am certain this is the answer

Step-by-step explanation:

The golden ratio is denoted by which Greek letter?
A. Beta
B. Omega
C. PHI
D. PSI

Answers

the golden ratio is denoted by which greek letter?

Φ phi

Match each graph to the corresponding linear equation. help plzzzz i hate math

Answers

ANSWER:

GRAPH A: Equation 4

GRAPH B: Equation 3

GRAPH C: Equation 2

GRAPH D: Equation 1

Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7÷ 3 1 ​ k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 ​ ×k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 ​ =k×7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 ​ ×7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k

Answers

Answer: (a)

Step-by-step explanation:

Given

Equation is

[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]

Write the cross-multiplication of the given equation i.e.

[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]

This corresponds to the option (a).

Answer:

C

Step-by-step explanation:

ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP

DONT USE HIS

JUST USE MINE

DONT NEED AN EXPLANATION NOOOOB

8 POINTS I don’t understand this can anyone help?? If you answer all my other questions on BrainlyI will give you 30 points:)

Answers

Answer:

I remember my teacher saying that when you get the answer you have to * when you get the answer

dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x

Answers

Answer:

B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15

Step-by-step explanation:

Given expression = x + 15% of x

x + (15/100) x = x + 0.15x

= (1+ 0.15) x = 1.15x

15% = 0.15 , added to x = 1.15x

Find the distance from the point (0,0) to the line y = x – 6. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Hi

answer:
6 units

step-by-step explanation:
using desmos
the y-intercept is vertical, and the x-intercept is horizontal
it touches the y-intercept at -6
distance cannot be negative

pls answer i need the answer

1 ticket
2 tickets
3 tickets
4 tickets

Answers

Answer:

3

Step-by-step explanation:

Answer:

2 tickets

Step-by-step explanation:

a + c = 5

9a + 4c = 30

let a = 5-c

substitute:

9(5-c) + 4c = 30

45 - 9c + 4c = 30

45 - 5c = 30

-5c = -15

c = 3

a = 2

The volume of a cylinder is 62.8 cubic meters and the radius is 2 meters.
Find the height of the cylinder. Round to the nearest meter.

Answers

Answer:

Height: 5meters

Step-by-step explanation:

Using the formula h= V over pie/3.14r^2 = 62.8 over 3.14 times 2^2 gives us 4.99747.

I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober

Answers

Answer:

D

Step-by-step explanation:

SPONGEBOB!!

Question 3 (1 point)
Mrs. Randolph has 39 math books and 57 science books that she needs to put in boxes. Each box can hold 8 books. How many
boxes does Mrs. Randolph need? Explain.

Answers

The answer is 12.
57 + 39 = 98
98 divided by two is equal to 12.

This can also be shown by multiplication. 12x8=96
I hope this helped you! :)

Aunt Betty uses oranges and pineapples to make 12 pounds of fruit salad. If oranges weigh 0.5 pounds each and pineapples weigh 2 pounds each, and she uses 21 fruits in all, find the number of oranges and the number of pineapples she uses

define variables and write two equations to model the situation described in the problem

Answers

Answer:

pecuniary purveyors organization irreversible

Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2

Answers

What the make no sense but I believe it is 50.24 hope that helps

A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?

Answers

Answer:

V=  480.7 m cubed

The volume of the cylinder nearest to tenths place is 480 m^3.

What is cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

For the given situation,

The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]

Radius of the cylinder,r = 3 m

Height of the cylinder, h = 17 m

The value of π = 3.14

On substituting the above values,

[tex]V=(3.14) (3^{2})(17)[/tex]

⇒ [tex]V=480.42[/tex] ≈ 480

Hence we can conclude that the volume of the cylinder is 480 m^3.

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