A certain map shows two roads. Road A is 2 road B on the map? miles long but is 1 inches long on the map. What is the unit rate for inches per mile on this map? If road B is 15 miles long, how long is

Answers

Answer 1

The unit rate per inch on the map is 5/4 , and the length of road B is 18.75 miles.

in the question ,

it is given that ,

On the map  [tex]1\frac{1}{2}[/tex]  miles is equal to  [tex]1\frac{7}{8}[/tex] inches  .

we first convert the mixed fraction to normal fractions ,

we get

[tex]1\frac{1}{2}[/tex]  miles = (1*2+1)/2 = 3/2 miles

and

[tex]1\frac{7}{8}[/tex] inches = (8+7)/8 = 15/8 inches

So, the statement becomes

On the map  3/2  miles is equal to  15/8 inches .

So  1 mile = (15/8)/(3/2) = (15*2)/(8*3) = 30/24 = 5/4

so , the unite rate is 5/4 inches per mile .

given the road B is 15 miles long .

and the unit rate is 5/4 .

so 15 miles = 15 *(5/4) = 75/4 = 18.75 inches

Therefore , The unit rate per inch on the map is 5/4 , and the length of road B is 18.75 miles.

The given question is incomplete , the complete question is

A certain map shows two roads. Road A is [tex]1\frac{1}{2}[/tex] miles long but is [tex]1\frac{7}{8}[/tex] inches long on the map. What is the unit rate for inches per mile on this map​? If road B is 8 miles ​long, how long is road B on the map​?

Learn more about Distance here

https://brainly.com/question/19130027

#SPJ1


Related Questions

Brown bears attempt to catch salmon. during the day, 20% of the attempts are successful. during the night, 36% of attempts are successful. a bear tries to catch 40 fish during the day and makes 50 attempts at night. use probability to estimate the number of fish the bear caught.

Answers

The probability for the number of fish the bear caught is 0.289

Given,

Number of fish the bear tries to catch during day = 40

Number of attempts made by the bear at night = 50

Percentage of successful attempts during day = 20%

Percentage of successful attempts at night = 36%

Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish

Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish

Total number of fish the bear caught = 8 + 18 = 26 fish

Now,

Probability for the number of fish the bear caught:

Probability = Number of fish caught / Total attempts

Probability = 26 / (40 + 50)

Probability = 26 / 90

Probability = 0.289

Therefore,

The probability for the number of fish the bear caught is 0.289

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ1

HELP ASAP NEEDS TO BE DONE BY TONIGHT

Answers

Answer: y = (5x/4) + 2

Step-by-step explanation:

Answer:

y = 5/4x + 2

Step-by-step explanation:

First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):

5y = -4x + 15

Divide both sides by five

y = -4/5 (x) + 3

The slope is -4/5

A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.

Slope = 5/4

Plug the slope and (-4, -3) into the slope-intercept form:

-3 = ( 5/4 · -4 ) + b

Isolate b (the y-intercept):

-3 = -5 + b

b = 2

y = 5/4x + 2

Which of the following is a balanced equation?
KCIO(3)-->KCI + O(2)
KCIO(3)-->3 KCI + O(2)
2KCIO(3)-->KCI + 3 O(2)
2KCIO(3)-->2 KCI + 3 O(2)
Select one:
a. A
b. B
c. C
d. D

Answers

Based on the chemical equations given, the balanced equation would be d. D.

How to find a balanced equation?

In Chemistry, a balanced equation is one that has the same number of atoms on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2 KCI atoms and 6 Oxygen atoms on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

Find out more on balanced equations at https://brainly.com/question/26694427

#SPJ1

plsssss helpp me out asap​

Answers

Answer:  [tex]m = 7.3\pi[/tex]

I multiplied both sides by pi to isolate m.

13 What value of x makes the equation modeled below true? PHONE 1 1 1 A x = 1 B x = -1 C x = 7 D x = -5 I

Answers

SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

CONCLUSION : The value of x = -1 ( OPTION B )

what is x=.30(729). explain

Answers

Answer:

x = 218.7

Step-by-step explanation:

To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.

The area of a square field is 3.24hectares . Find its perimeter in decimeters

Answers

The filed has a perimeter value of 720000 decimeters

How to determine the perimeter of the field?

From the question, the area of the field is given as

Area = 3.24 hectares

Also, we have the shape of the field to be square

So, we start by calculating the side length of the field using

Length = √Area

Substitute the known values in the above equation

Length= √3.24 hectares

Length= √3.24 * 10000 square meters

Evaluate the square root

Length= 18000 meters

The perimeter is calculated as

P = 4 * Length

So, we have

P = 4 * 18000 meters

Evaluate

P = 72000 meters

Convert

P = 720000 decimeters

Hence, the perimeter is 720000 decimeters

Read more about area and perimeter at

https://brainly.com/question/19819849

#SPJ1

22. A student recorded her scores on weekly math quizzes that were marked out of a
possible 10 points. Her scores were as follows:
8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 7

What is the mode of her scores on the weekly math quizzes?

Answers

Answer:

6 since it occurs the most times

7 or 6 they both occur 6 times

The finish line is 253 m away. You begin to run from rest. You must reach a velocity of 53.2 m/s or you will explode. What must your acceleration be?

Answers

The acceleration require for the body to not explode will be 0.2941[tex] m/s^2 [/tex]

The finish line as given is 253m away so that distance to be covered will be 253m.

Also we had started to run from rest so that initial velocity will be 0m/s.

We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.

Now average velocity will be the sum of initial velocity and final velocity divided by 2.

∴ Average velocity  =  (initial velocity + final velocity) / 2.

∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s

As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.

∴ Average time = distance / average speed

∴ Average time = 253 / 26.6 = 9.51s.

Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.

∴ Acceleration = [tex] \frac{average\ velocity}{(average\ time)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{(9.51)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{90.44}[/tex]

∴ Acceleration = 0.2941[tex] m/s^2 [/tex]

click the link below to know more about object acceleration

https://brainly.com/question/605631

#SPJ9

Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar. What is the most relevant image she should add to her slide?​

Answers

From following steps, she can add relevant pictures to her slide.

What is PowerPoint?

It is a presentation-based program that employs graphics, movies, etc. to enhance the interactivity and appeal of a presentation. A saved PowerPoint presentation has the ".ppt" file extension. PPT is another name for a PowerPoint presentation that includes slides and other elements. Create presentations from scratch or using a template with PowerPoint on your PC, Mac, or mobile device. Include text, pictures, artwork, and videos. Using PowerPoint Designer, pick a polished layout. Cinematic motion, transitions, and animation should be added.

Given Data

Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar.

From following steps, she can add relevant pictures to her slide.

Open the slide to which you wish to add a photograph.

Point to Picture in the Insert menu, and then click Photo Browser.

Navigate to the image you want to insert in the dialogue box that appears, click it to pick it.

Then drag it to the slide.

To learn more about PowerPoint, visit.

https://brainly.com/question/17215825

#SPJ13

What is the
Domain??
Someone pls help me outtt

Answers

Answer:

:]

Step-by-step explanation:

[tex]-2\leq x\leq 2[/tex]

Answer:

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function

Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.

(2,-6); y = 2/3x-4

Answers

Answer:

Step-by-step explanation:

2

Combine multiplied terms into a single fraction

3

Find common denominator

4

Combine fractions with common denominator

5

Multiply the numbers

The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election. What percentage of the members voted?

Answers

The percentage of members that voted is 70%.

How to find the percentage of members that voted?

The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election.

Therefore, the percentage of the members that voted can be calculated as follows;

percentage that voted = number of people that voted / total number members × 100

Therefore,

number of people that voted = 42

total number members = 60

Hence,

percentage that voted = 42 / 60 ×100

percentage that voted = 4200 / 60

Therefore,

percentage that voted = 70%

learn more on percentage here: https://brainly.com/question/10915507

#SPJ1

3 x blank x blank x blank = 36

Answers

Answer:

3x2x2x3

Step-by-step explanation:

3x2x2x3= 36

I hope that was helpful!

My pleasure to help!!

Nitin and Sharat were going to Delhi by different trains.
 Their trains were scheduled to reach at 10:30 am and 11:15am respectively.
 Nitin’s train reached late but Sharat’s train reached on time.
 Nitin’s train reached 10 minutes AFTER Sharat’s train.
By how many minutes was Nitin’s train late?

Answers

Answer:

55 minutes

Step-by-step explanation:

sharat's train arrived on time (11.15) but Nitin's was after and 10 mins later it'd be 11.25

32 is 80% of what number​?

Answers

Answer:

40

Step-by-step explanation:

Given :
32=0.8x
( x is unknown number )

x=32/.8

x=40

how long would it take to drive 1km at a speed of 1.71km/h (with working)

Answers

It would take 35 minutes to drive 1 km at a speed of 1.71 km/h.

How do distance and speed compare?

Speed is the ratio of distance traveled in a given time.  Speed is given by distance/time.

The time can be computed by dividing distance by speed.

This implies that time is the quotient of distance and speed.

The total distance drove = 1 km

The driving speed = 1.71 km/h

Time = Distance/Speed

= 1/1.71

= 0.58 hours

= 0.58 x 60 seconds

= 35 minutes 5 seconds

Thus, to travel 1 kilometer at the speed of 1/71 kilometers per hour would take 35 minutes.

Learn more about distance, speed, and time at https://brainly.com/question/26046491

#SPJ1

Which expression is equivalent to t+4+3-2t

Answers

Answer:

7-t

Step-by-step explanation:

t+4+3-2t

= t+7-2t

= -t+7 or 7-t


5(1-1)+10=

5(2-1)+10=

5 (3-1) +10=

5(4-1)+10=

Answers

Step-by-step explanation:

First is

5(1-1)+10= 5×0+10= 0+10 = 10

2nd is

5(2-1)+10=5× 1+10= 5+10=15

3rd= 5(3-1)+10= 5×2+10=10+10=20

4th=5(4-1)+10=5×3+10=15+10=25

I hope it will be helpful for you.

Larry plants to invest 275,000 for 30 years at an anticipated rate of 6% per annum compounded yearly what is the approximate difference in his ending balance of the actual rate is 5% instead of six

Answers

Answer:

$390,000

Explanation

To do this, we will use the compound interest formula;

A = P(1+r)^t

P = 275000

rate r = 6%

Time t = 30years

Substitute

A = 275000(1+0.06)^30

A = 275000(1.06)^30

A = 275000(5.7435)

A = 1,579,460.07

For the rate of 5%

A = 275000(1+0.05)^30

A = 275000(1.05)^30

A = 275000(4.3219)

A = 1,188,534.15

Takeing their difference;

Difference = 1,579,460.07-1,188,534.15

Difference =390,925.92

Hence the approximate difference in his ending balance of the actual rate is 5% instead of six ​is about $390,000

What is y=1x+0 in standard form?

Answers

Answer:

0

Step-by-step explanation:

Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1 Therefore, the standard form for y = 0 is: 0x + 1y = 0

Please help math 100 points its easy.

Answers

From the given statement based on different conditions following are true :

Statement 2, 3, 4 are true

As given in the question,

1. Lisa has 1 4/12 cups of grapes = 16 /12 cups

  Dawn has 1 11/12 cups of grapes = 23 /12 cups

Together they have = (16/12) + (23/12)

                              = (39 /12) cups of grapes

Given statement of 2 1/2 cups of grapes is false.

2. Rachel has 1 7/15 cups of chocolate chips = 22/15

Maya has 8/15 cups of chocolate chips

Rachel has more cups of chocolate chips than Maya

Difference = (22/15) - (8/15)

                 = 14 /15

3. George has 2 5/10 cups of milk = 25 /10

Raymond  has 1 1/10 cups of milk =11 /10

George has more cups of milk than Raymond

Difference = (25 /10) - (11/10)

                = 14/10

                 = 1.4 cups of milk

                 ≈ 1 cup of milk (approximately)

Statement is true.

4. Gavin has 1 13/14 buckets of water = 27 /14

    Devin has  1 3/14 buckets of water = 17 /14

  Together they have = (27/14) +(17/14)  

                =44/14

                 = 3.14

                 ≈ 3(approximately) buckets of water

Statement is true.

Therefore, from the given statement based on different conditions following are true :

Statement 2, 3, 4 are true .

Learn more about statement here

brainly.com/question/2285414

#SPJ1

​arif's backyard is 22 by 32 meters. he wants to put a flower garden in the middle of the​ backyard, leaving a strip of grass of uniform width around the flower garden. to be​ happy, arif must have 288 m^2 of grass. under these conditions what will the length and width of the garden​ be?

Answers

The dimension of the flower garden, which located in the middle of the backyard surrounded by a strip of grass, is 26 m length and 16 m width.

The situation can be depicted on the attached picture.

We need to translate the word problem into algebraic expressions.

Let x be the width of the grass strip.

Let A be the area of the grass strip.

Then,

A = 2 . 22x + 2 . (32 - 2x)x

288 = 2 . 22x + 2 . (32 - 2x)x  (divide by 2)

144 = 22x + x(32 - 2x) (divide by 2)

72 = 11x + x(16 - x)

72 = 27x - x²

x² - 27x + 72 = 0

This is a quadratic equation. One of the methods to solve a quadratic equation is by factorization.

Factorize the left side:

(x - 3) (x - 24) = 0

x = 3  or  x = 24

The length of the flower garden  = 32 - 2x

The width of the flower garden  = 22 - 2x

Substitute x = 3:

The length of the flower garden  = 32 - 2 . 3 = 32 - 6 = 26 m

The width of the flower garden  = 22 - 2 . 3 = 16 m

Note that if we substitute x = 24, it will results in negative values while the dimension is always positive.

Learn more about quadratic equations here:

https://brainly.com/question/27849764

#SPJ4

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems. Let x represent the number of 2-point problems. Let y represent the number of 4-point problems. Total amount of points = point worth  x + point worth  \

Answers

The equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems will be 2x + 4y = 100.

What is an equation?

An equation is used to show the relationship between the variables that are given.

In this case, the test in math class has problems worth 2 points and problems worth 4 points and altogether the test has 100 points.

Let x represent the number of 2-point problems. Let y represent the number of 4-point problems.

The appropriate equation will be:

2x + 4y = 100

This illustrates the equation

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

The length of the rectangle is 5 more than twice the width. If the perimeter is 10 times that of the width, what is the width, length, and perimeter of the rectangle?

Answers

The length of the rectangle is 10, the width is 2.5 and the perimeter is 25

Let the width of the rectangle be x

The length of rectangle = 2x + 5

The overall length of the outline determines a rectangle's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter.

Perimeter = 10 times of width

= 10*x

= 10x

The formula for the perimeter of a rectangle is given:

Perimeter = 2(Length+Breadth)

10x = 2(x + 2x+5)

10x = 2(3x+5)

10x = 6x + 10

4x = 10

x=2.5

Length = 10

Width = 2.5

Perimeter = 25

Learn more about rectangles:

https://brainly.com/question/14689998

#SPJ1

What are the coordinates of the point on the directed line segment from (3,−3) to (7,5) that partitions the segment into a ratio of 5 to 3

Answers

The coordinates along the directed line segment is (37/7, 11/7)

How to find the coordinates of the point?

The points are given as:

A  = (3, -3)

B = (7, 5)

The ratio on the segment can be represented as;

m : n = 4 : 3

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

Point  = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)

Evaluate

Point  = 1/7 * (37, 11)

Evaluate the products

Point  = (37/7, 11/7)

Hence, the coordinates of the point is (37/7, 11/7)

Read more about line partitions at:

brainly.com/question/17374569

#SPJ1

What is 39,400,000 in scientific notation?

Answers

Answer:

3.94*10^7

Step-by-step explanation:

Answer:

3.94 * 10^7

Step-by-step explanation:

:]

Please help me
What is the sign of 3.456 + \left(-3.456\right)3.456+(−3.456)

A. Positive

B. Negative

C. Neither positive nor negative—the sum is zero.

Answers

The sign of 3.456+(-3.456) is neither positive nor negative—the sum is zero.

We are asked to find the sign of 3.456+(-3.456)

This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y

Now if same quantities are subtracted, we get zero only.

Also zero is neither positive nor negative.

Hence there is no sign for 3.456+(-3.456).

Also 3.456+(-3.456) = 0.

Learn more about arithmetic operations at https://brainly.com/question/4721701

#SPJ1

Vinny is serving punch to guests at a party. He has $\frac{3}{4}$ of a gallon of punch, and he pours $\frac{5}{64}$ of a gallon into each guest's cup, filling each to the top. At the most, how many guests' cups can he fill to the top?

Answers

In serving punch to guests at the party, Vinny can fill 9 guests' cups to the top based on this unit rate.

What is a unit rate?

The unit rate is the ratio of a variable to another.

The whole number here is the total gallons of punch available to serve the guests.

The unit rate is the volume that each guest's cup can hold or contain.

This implies that the ratio is 5/64: 3/4

The total number of gallons of punch = 3/4 or 0.75 gallons.

The volume or capacity of each guest's cup = 5/64 gallons or 0.078125.

The number of guests' cups to fill to the brim = 9.6 cups (0.75/0.078125)

= 9 guests' cups.

Thus, Vinny can fill 9 guests' cups to the brim, using the given ratio or unit rate.

Learn more about ratios at brainly.com/question/12024093

#SPJ1

13 gallon of water in a 3-gallon container. What fraction of the container is filled?

Answers

Answer:

1/9

Step-by-step explanation:

There is 1/3 gallon of water in a 3 gallon container. The fraction of the container that is filled is  1/9

(1/3 of a gallon divided by 3 gallons equals 1/9)

Other Questions
Consider a 1500kg rollercoaster moving at 4.5m/s at the top of a 30.0m hill. If instead, friction does 52kJ of work on the rollercoaster on its trip down the hill, how fast will the rollercoaster be moving once it reaches ground level? Do you agree with Frederick Douglass that the time was right to press for suffrage for black men? In an experiment, a scientist decides to study the effect of exercise on cholesterol levels in people. He studies two set of peoplethose who exercise every day for an hour and those who dont exercise at all. In this case, the statement that people who exercise for an hour may have lower cholesterol levels is . To test this statement, the scientist would measure cholesterol levels in exercisers and non-exercisers. The cholesterol levels would be . I WILL GIVE BRAINLEST 1+1 Question 2 of 10Which of these techniques are useful for resisting peer pressure? Select thethree correct answers.A. Keeping your self-esteem highB. Posting negative messages onlineC. Making your own decisionsOD. Using common sense to help choose friends continuous passive motion machines are frequently used following acute injuries to counteract the inflammatory process. question 24 options: true false Let f(x)=2x+x-11 and g(x)=x-1. Perform the function operation and then find the domain.(f+g)(x)(f+g)(x) = (Simplify your answer.) Ammonium nitrate (NH4NO3), a common fertilizer, is 35.0% nitrogen by mass. How much ammonium nitrate contains 1.25 kg of nitrogen? The ____ phase in the business cycle is a period when the level of business activity rises and gdp grows. if the total value of the coins is $5.50 and kayleigh has 17 quarters, how many nickels does she have? What did the people do while the rats solved problems?Click to view the passage "Rat Race."OA. The tried to solve the problems faster than the rats.OB. They rested.C. They drank coffee and visited.D. They observed and took notes. Just need help on this. Choose one of the following prompts below. Compose a final narrative writing backstory or end with a cliffhanger.1. The Vessel: Write about a ship or other vehicle that can take you somewhere different from where you are now.2. Dream-Catcher: Write something inspired by a recent dream you had.3. Fear: What scares you a little? What do you feel when scared? How do you react? menton co has 7 percent, semiannual coupon bonds outstanding with a current market price of $1,023.46, a par value of $1,000, and a yield to maturity of 6.72 percent. how many years is it until these bonds mature? What are the challenges of global governance in the 21st century? Which of the following proves these triangles are congruent?A. neitherB. SAAC. ASA A bicycle has cash price $16 319.50. It can be bought on hire purchase with a deposit of $6 900 and ten monthly installments of $1 224.50 each. a. What is the total hire purchase price for the bicycle? [3 marks] b. Find the difference between the hire purchase price and the cost price for the bicycle. [1 mark] c. Express your answer in (b) above as a percentage of the cash price. The midpoint of AB is at ( 5, 4). If A = (0, 9), find B. First person to help gets brainliest!! - 1/2 + 5/9 someone help