On a road map the distance from Cily A to City BIS 4 inches. The map
scale is 1 inch 20 miles what is the actual distance in miles, between
City A and City B2
5 miles
24 miles
8 miles
80

Answers

Answer 1

Answer:

80 miles

Step-by-step explanation:

The map scale compares the  distance between two points on the map with the corresponding distance on the ground.

That is,

[tex]\boxed{\mathfrak{map\:scale=\frac{distance\:on\:map}{distance\:on\:ground} }}[/tex]

The formula makes it pretty easy to solve!

map scale is 1 inch : 20 milesdistance on map is 4 inchesLet's say, the corresponding distance on the ground is x miles.

Substituting these values in the above mentioned formula:

[tex]\implies \mathsf{\frac{1 \:inch}{20\:miles} =\frac{4\:inches}{x\:miles} }[/tex]

cross multiplying:

[tex]\implies\mathsf{x=4 \times 20}[/tex]

[tex]\implies \mathsf{x=80}[/tex]

That makes the actual distance 80 miles!

                                 

ALTER

You can also use simple unitary method here:

1 inch on the map = 20 miles on the ground

∴ 4 inches on the map = 4 × 20 miles on the ground

= 80 miles on the ground


Related Questions

Brianna wants to tie a red ribbon around Monkeyshines. The blue ribbon is yu
inch longer than the red ribbon. The yellow ribbon is 4 4 inches longer than the
blue ribbon. How long is the yellow ribbon? Color the ribbons.
inches long
18/2 inches long
17 74 inches long

Answers

Answer:

22 3/4 inches.

Step-by-step explanation:

First what I like to do is find least common denominator.

Since 2 of the ribbons are measured in /4's, and the other ribbon is measured by half ( /2). 4 will be your new denominator making the 18 1/2 in. long ribbon 18 2/4 inches.

Now, the Blue ribbon is 3/4 greater than the Red ribbon, making it the 18 2/4 inch ribbon.

The Yellow ribbon is 4 3/4 inches longer than the Blue ribbon which means add 4 3/4's to 18 2/4, and you get = 22 3/4 in. for the yellow ribbon.

Hopes this Help!

10 ft
8 ft
D
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [? ] ft2
Please Colin how to do it! I need notes for final

Answers

Answer:

32

Step-by-step explanation:

HELPPPP PLEASEEEDJDJSJNDN

Answers

Answer:

x=14/9

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

9x - 7 = -7

Add 7 on both sides so that 9x can be isolated

9x - 7 + 7 = -7 + 7

9x = 0

Divide by 9 on both sides so x can be by itself

9/9x = 0/9

x = 0

Please help! ASAP :)

Answers

1. 7+(3)(5)-11
=7+15-11
=22-11
=11
2. (3+5)(5)-20+5(2+5)
=(8)(5)-20+5(2+5)
=40-20+5(2+5)
=20+5(2+5)
=20+(5)(7)
=20+35
=55
3. (8-3)^2+7(3)
=5^2+7(3)
=25+7(3)
=25+21
=46
4.3(7-3)+18
=(3)(5)+18
=15+18
=33
5.12*4-2^2
=12*4-4
=48-4
=44
6. -2(5-3)^2+18
=-2*2^2+18
=-2*4+18
=-8+18
= 10

HOPE IT HELPS PLS MARK ME BRAINLIEST

If the sum of two integers are negative. Must both integers be negative

Answers

Answer:

Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7.

Step-by-step explanation:

No because if the negative has a bigger number than the positive cant over run it and make it positive
Ex. -10+5=-5
-19+15=4

−x2 if x=−4 pls help

Answers

Answer:

x=4

Step-by-step explanation:

Will mark as brainlist answer quickly



Choose the present perfect tense for the following verb.


make

Marcet_____ her special chocolate cake many times.


has maked


have made


has made







made

Answers

Answer:

Marcet has made her special chocolate cake many times.

Please mark as Brainliest, thank you!

The length and breadth of the plot in metres are in the ratio 10:3.The perimeter
of the plot is 312 m.

Answers

Answer:

I hope this could be of good assistant

Step-by-step explanation:

L:B = 10:3

make L subject of formula

L = 10B/3

perimeter = 312

2( L + B ) = 312

L + B = 312/2

L + B = 156

10B/3 + B = 156

multiply all through by 3

10B + 3B = 156 X 3

10B + 3B = 468

13B = 468

B = 468/13 = 36

B = 36m

L = 10B/3

L = 10 X 36/3

L = 10 X 12 = 120m

L = 120m

Hence if your were asked to find the area

L X B

120 X 36 = 4320m²

Identify the unit rate in the graph.
A) 40 mph
B) 75 mph
C) 50 mph
D) 25 mph

Answers

C)50mph

speed= distance÷time

so ....

we find how much 25 miles took therefore we do

25÷0.5

which is

=50

Hope this helped you, have a good day bro cya)

Answer:

fast

Step-by-step explanation:

historical definition

Italian physicist Galileo Galilei is usually credited with being the first to measure speed by considering the distance covered and the time it takes. Galileo defined speed as the distance covered per unit of time.[3] In equation form, that is

{\displaystyle v={\frac {d}{t}},}v={\frac  {d}{t}},

where {\displaystyle v}v is speed, {\displaystyle d}d is distance, and {\displaystyle t}t is time. A cyclist who covers 30 metres in a time of 2 seconds, for example, has a speed of 15 metres per second. Objects in motion often have variations in speed (a car might travel along a street at 50 km/h, slow to 0 km/h, and then reach 30 km/h).

Instantaneous speed

Speed at some instant, or assumed constant during a very short period of time, is called instantaneous speed. By looking at a speedometer, one can read the instantaneous speed of a car at any instant.[3] A car travelling at 50 km/h generally goes for less than one hour at a constant speed, but if it did go at that speed for a full hour, it would travel 50 km. If the vehicle continued at that speed for half an hour, it would cover half that distance (25 km). If it continued for only one minute, it would cover about 833 m.

In mathematical terms, the instantaneous speed {\displaystyle v}v is defined as the magnitude of the instantaneous velocity {\displaystyle {\boldsymbol {v}}}{\boldsymbol {v}}, that is, the derivative of the position {\displaystyle {\boldsymbol {r}}}{\boldsymbol {r}} with respect to time:[2][4]

{\displaystyle v=\left|{\boldsymbol {v}}\right|=\left|{\dot {\boldsymbol {r}}}\right|=\left|{\frac {d{\boldsymbol {r}}}{dt}}\right|\,.}v=\left|{\boldsymbol  v}\right|=\left|{\dot  {{\boldsymbol  r}}}\right|=\left|{\frac  {d{\boldsymbol  r}}{dt}}\right|\,.

If {\displaystyle s}s is the length of the path (also known as the distance) travelled until time {\displaystyle t}t, the speed equals the time derivative of {\displaystyle s}s:[2]

{\displaystyle v={\frac {ds}{dt}}.}v={\frac  {ds}{dt}}.

In the special case where the velocity is constant (that is, constant speed in a straight line), this can be simplified to {\displaystyle v=s/t}v=s/t. The average speed over a finite time interval is the total distance travelled divided by the time duration.

Average speed

Different from instantaneous speed, average speed is defined as the total distance covered divided by the time interval. For example, if a distance of 80 kilometres is driven in 1 hour, the average speed is 80 kilometres per hour. Likewise, if 320 kilometres are travelled in 4 hours, the average speed is also 80 kilometres per hour. When a distance in kilometres (km) is divided by a time in hours (h), the result is in kilometres per hour (km/h).

Average speed does not describe the speed variations that may have taken place during shorter time intervals (as it is the entire distance covered divided by the total time of travel), and so average speed is often quite different from a value of instantaneous speed.[3] If the average speed and the time of travel are known, the distance travelled can be calculated by rearranging the definition to

{\displaystyle d={\boldsymbol {\bar {v}}}t\,.}d={\boldsymbol  {{\bar  {v}}}}t\,.

Using this equation for an average speed of 80 kilometres per hour on a 4-hour trip, the distance covered is found to be 320 kilometres.

Expressed in graphical language, the slope of a tangent line at any point of a distance-time graph is the instantaneous speed at this point, while the slope of a chord line of the same graph is the average speed during the time interval covered by the chord. Average speed of an object is Vav = s÷t

Difference between speed and velocity

Speed denotes only how fast an object is moving, whereas velocity describes both how fast and in which direction the object is moving.[5] If a car is said to travel at 60 km/h, its speed has been specified. However, if the car is said to move at 60 km/h to the north, its velocity has now been specified.

The big difference can be discerned when considering movement around a circle. When something moves in a circular path and returns to its starting point, its average velocity is zero, but its average speed is found by dividing the circumference of the circle by the time taken to move around the circle. This is because the average velocity is calculated by considering only the displacement between the starting and end points, whereas the average speed considers only the total distance travelled.

The length of a rectangle is 7 feet less than three times the width, and the area of the rectangle is 66ft^2 . Find the dimensions of the rectangle.

Answers

Answer:

Step-by-step explanation:

w = width

3w = three times the width

3w-7=7 feet less than three times the width

l = length = 3w-7

A=length × width (lw)

66 = (3w-7) × (w)

66 = 3w^2 - 7w

3w^2 - 7w -66 =0

factor

3 = 3 × 1 and 66 = 6 × 11,

6 × 3 = 18,  11 × 1 = 11,  18 - 11 = 7

(3w   )(w   )=0 so far

(3w   )(w  6)=0 so far

(3w   11)(w   6)=0 so far

(3w+11)(w-6)=0

w-6=0

w=6

3w=3*6=18

3w-7=3*6-7=18-7=11

w=6 feet

l=11 feet

Jim paid $48 to buy a package of 6 flea treatments for his dog. How much does one treatment cost

Answers

$48/6 = $8/treatment

If Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given,

Jim paid $48 to buy a package of 6 flea treatments for his dog

We need to find what is the cost a per treatment.

We have to divide split forty eight by six to find the cost of each treatment.

Forty eight divided by six

$48/6

When we divide by six we will get six.

$6

Hence if Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.

To learn more on Division click:

https://brainly.com/question/21416852

$SPJ2

2. Solve using the standard algorithm.
9.8: 5 =
55918

Answers

Answer:

1.6

Step-by-step explanation:

sorry if i'm wrong mate

Solve for x:
(x + 4) (x - 3) = 0
A. x = -4 and x = 3
B. x= -1 and x = 12
C. x= 1 and x = -12
D. X= 4 and x = -3

Answers

Answer:

answer is A x = -4 and x = 3

Step-by-step explanation:

-4 , 3

switch the signs

Answer:

The answer is "A."

Step-by-step explanation:

x+4=0. x-3=0

x=0-4. x=0+3

x= -4. x= 3

x = -4 and x = 3

4 - (y - 3) = 3(y + 1) - 4(1 - y)

Answers

Answer:

The value of y is 1

Step-by-step explanation:

4 - (y - 3) = 3(y + 1) - 4(1 - y)

4 - y + 3 = 3y + 3 - 4 + 4y

7 - y = 7y - 1

7 + 1 = 7y + y

8y = 8

y = 1

Thus, The value of y is 1

-TheUnknownScientist 72

a man spends 1/9 of his salary on rent, 1/2 on food and 1/4 on clothes and other items. if he has GHC 195 left at the end of the month, how much does she earn.​

Answers

Answer:

1404

Step-by-step explanation:

Find the unit rates (pages per day) for Deon and Emily. Who read faster?


Deon: 36 pages in 3 days. StartFraction 36 pages Over 3 days EndFraction = Question mark pages per day. Emily: 45 pages in 5 days. StartFraction 45 pages Over 5 days EndFraction = question mark pages per day.

Answers

Answer:

Deon

Step-by-step explanation:

Deon-12 ppd

Emily-9 ppd

Deon reads more pages per day

Answer:

Deon read  3 more  pages per day than Emily.

A jar has 20 marbles: 3 green, 12 blue, 5 red.

What is the probability of randomly choosing a green marble after you have chosen red?

Answers

Answer:

0,40789

Step-by-step explanation:

To pick 1 red marble (from 5 red) from all 20 marbles is 5/20 = 0.25

To pick 1 green marble (from 3 green) from 19 because we already took red marble is 3/19 = 0.15789

The probability of randomly choosing a green marble after you have chosen red is 3/68.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

[tex]\rm=\dfrac{5}{20}\times \dfrac{3}{19}\\\\=\dfrac{1}{4}}\times \dfrac{3}{19}\\\\ = \dfrac{3}{68}[/tex]

Hence, the probability of randomly choosing a green marble after you have chosen red is 3/68.

To know more about probability click the link given below.

https://brainly.com/question/743546

please helppppppppppppppppp

Answers

Answer:

seventeen plus twelve minus thirty

Step-by-step explanation:

17 + 12 - 30 = -1

A) Damien washes cars on his summer vacation to earn money. It took him 16 hours to wash 10 cars. Use scaling to complete the table to determine the number of cars Damien could wash in 40 hours. Number of Hours 16 40 032 부 I 20 20 6 Number of Cars 10 How many cars did Damien wash every hour? lo cars​

Answers

is it a big number or short number

The required number of cars that can be washed by Damien in 40 hours is 25.

Given that,
Damien washes cars on his summer vacation to earn money. It took him 16 hours to wash 10 cars. Use scaling to complete the table to determine the number of cars Damien could wash in 40 hours, is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of cars that were washed in 40 hours be x,
Now, according to the question.
16 / 10 = 40 / x
x = 400 / 16
x = 25

Thus, the required number of cars that can be washed by Damien in 40 hours is 25.

Learn more about arithmetic here:

brainly.com/question/14753192

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PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER

Answers

6+8=14÷(-2)=-7-4=-11

Answer:

-11

Step-by-step explanation:

-4 + (6 + 8) / (-2)

-4 + (14) / (-2)

-4 + -7

-4 - 7

-11

Hopefully this helped!

Brainliest please?

Anybody have an answer key to this?

Answers

I found a answer key online

Show how to work the division problem 47 divided by 8 please

Answers

Answer:

Step-by-step explanation:

47 divided by 8

= 5.875

hope this helps

When using substitution to solve this system of equations, what is the result of the first step x=y+1 4=2x+3y

Answers

The answers in photo below

If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take

Answers

Answer:

A 5-pound roast would take about 187.5 minutes to cook.

Divide 150 minutes by 4 pounds and you get 37.5 minutes. This would be how long it takes to cook each pound. So, you multiply 5 pounds by 37.5 and you get 187.5 minutes for a 5-pound roast to cook.

show your solution need an answer, please need an answer, please.
complete answer pls:(​

Answers

Answer:

1. x = -1

2. y = -1, y = 2

3. y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]

4. x = -3; x = -6

Step-by-step explanation:

I will only produce work for questions 1 through 4, and you could follow the same steps for questions 5 and 6 so that you could learn and get used to solving quadratic equations. I am practically using the same techniques in solving questions 1 through 4 anyway.

1.) x² + 2x + 1 = 0

where a = 1, b = 2, c = 1

Determine the nature and number of solutions based on the discriminant, b² - 4ac:

b² - 4ac = 2² - 4(1)(1) = 4 - 4 = 0  

This means that the equation has one real root.  

Next, determine the factors of the quadratic equation.  

Use the perfect square trinomial factoring technique:

u² + 2uv + v² = (u + v)²

From the equation, x² + 2x + 1 = 0

where a = 1, b = 2, c = 1

Find factors with product a × c and sum b:

Possible factors:

product a × c :  1 × 1 = 1

sum b :  1 + 1 = 2

Therefore, the binomial factors of x² + 2x + 1 = 0 is (x + 1)²

To find the roots, set x = 0:

x + 1 = 0

Subtract 1 from both sides to isolate x:

x + 1 - 1 = 0 - 1

x = -1  (This is the root of the equation).

2)  y² - y - 2 = 0

where a = 1, b = -1, and c = -2

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b²  - 4ac = (-1)² - 4(1)(-2) = 9  

Since b² - 4ac > 0, then it means that the equation will have two real roots.

From the equation, y² - y - 2 = 0

where a = 1, b = -1, and c = -2:

Find factors with product a × c and sum b:

 Product a × c :  

1 × -2 = -2

-1 × 2 = -2

Sum b:  

1+ (-2) = -1

-1 + 2 = 1

Therefore, the possible factors are: 1 and -2:

(y + 1) (y - 2)

To find the roots, set y = 0:

y + 1 = 0

Subtract 1 from both sides:

y + 1 - 1 = 0 - 1

y = -1

y - 2 = 0

Add 2 to both sides:

y -2 + 2 = 0 + 2

y = 2

Therefore, the roots of the quadratic equation, y² - y - 2 = 0 are: y = -1 and y = 2.

3.)  y² + y + 1 = 0

where a = 1, b = 1, and c = 1

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b² - 4ac = (1)2 - 4(1)(1) = -3

Since b² - 4ac < 0, then it means that the equation will have two complex roots.

Use the Quadratic Formula:

[tex]y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

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

[tex]y = \frac{-1 +/- \sqrt{1 - 4} }{2}[/tex]

[tex]y = \frac{-1 +/- \sqrt{-3} }{2}[/tex]

[tex]y = \frac{-1 +/- i\sqrt{3} }{2}[/tex]

Therefore, the roots of the quadratic equation, y² + y + 1 = 0 are:

y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]

4) x² + 9x + 18 = 0

where a = 1, b = 9, and c = 18.

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b² - 4ac = (9)2 - 4(1)(18) = 9

Since b² - 4ac > 0, then it means that the equation will have two real roots.

Use the Quadratic Formula:

[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]x = \frac{-9 +/- \sqrt{9^{2} - 4(1)(18)} }{2(1)}[/tex]

[tex]x = \frac{-9 +/- \sqrt{9} }{2}[/tex]

[tex]x = \frac{-9 + 3}{2}; x = \frac{-9 - 3}{2}[/tex]

[tex]x = \frac{-6}{2}; x = \frac{-12}{2}[/tex]

x = -3; x = -6

Therefore, the roots of the quadratic equation, x² + 9x + 18 = 0

are: x = -3 and x = -6.  

the quotient of 2 and a number x,times 3

Answers

Answer:

(2/x)3 or 3(2/x

Step-by-step explanation:

The quotient of 2 and x is expressed as 2/x Multiplied by 3 can be expressed as (2/x)3 or 3(2/x)  

Write the following comparison as a ratio reduced to lowest terms.
21 nickels to 43 dimes

Answers

Answer:

As coins, they are already in their simplest ratio, since 25 and 38 don't have any common factor to divide by. (1 doesn't really count...)

As money, you need to multiply the 25 nickels x 5 cents per nickel, which gives you 125 cents,

and 38 dimes x 10 cents per dime, which gives you 380 cents.

So your new ratio is 125:380, which you can simplify by dividing each by 5, which gives you

25:76

SO, as money the ratio in simplest terms is 25:76. As numbers of coins, it's 25:38

If you think about it, it makes sense because:

10 cents is twice as much as 5 cents, and

76 cents is twice as much as 38 cents.

Hope this helps!

Matt in New York

Ten cents cost twice as much as five cents, and 38 cents are equivalent to twice as much as 76 cents.

Explain about the Ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value

Since there is no

to divide 25 by and 38 by, they are already in their most basic ratio as coins. (1 is hardly significant...)

To convert the 25 nickels to money, multiply them by the nickel's value, which comes to 125 cents.

and 38 dimes multiplied by 10 cents each, giving you 380 cents.

By dividing each by 5, you can simplify your new ratio of 125:380 and get

25:76

Therefore, the ratio is 25:76 expressed simply as money. It is 25:38 in monetary terms.

It makes sense if you think about it since

Ten cents are twice as expensive as five cents, and

38 cents is double what 76 cents

To learn more about Ratio refer to:

https://brainly.com/question/12024093

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please help:)
write an equation of the line , in point slope form, that passes through the two given points.

Points:(-2,10),(10,-14)

Answers

Answer:

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

Step-by-step explanation:

Emma is planting 48 roses and 72 sunflowers. She wants to plant the same number of flowers in each row. But each row should have the same type of flower. What is the greatest number of flowers that can be planted in a row?

Answers

Answer:

She can plant 24 flowers in each row.

Step-by-step explanation:

Greatest common factor of 48 and 72 is 24

chloe and her dog bingo walk 2/3 of a mile in 1/6 of an hour at this rate how far can they walk per hour

Answers

Answer:

2 miles

Step-by-step explanation:

In one hour, close and her dog can walk a total of 2 miles

Answer:

4

Step-by-step explanation:

2/3 x 6

2x2=4

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