Joshua wanted to know the distance between two cities. The scale on the map was 1/2 in = 10 km. The distance between the cities on the map was 2 1/4 in. What was the actual distance between the cities?

Answers

Answer 1

Step-by-step explanation:

remark : it is very unusual for a map to mix two measurement norms. they are normally either fully in the American or fully in the metric system.

but let's do the exercise.

the scale says 1/2 in = 10 km

but our measurement on the map brought us quarter inches.

so,

1/2 in = 2/4 in = 10 km

therefore

1/4 in = 10/2 = 5 km

now,

2 1/4 = 9/4 in

this is 9 times 1/4.

therefore, the distance between the 2 cities is

9 × 5 = 45 km.


Related Questions

Find the equation of a line passing through (-2/3, 5) that is parallel to 4x-2y=6. Express your answer in point-slope form.

Answers

Using the information given, it is found that the linear function is given by:

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

A linear equation, in point-slope formula, is modeled by:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

m is the slope.The point is [tex](x_1, y_1)[/tex].If two lines are parallel, they have the same slope.

Parallel to 4x - 2y = 6, which, in standard form is:

[tex]2y = 4x - 6[/tex]

[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]

[tex]y = 2x - 3[/tex]

Hence, the slope is [tex]m = 3[/tex].

Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

To learn more about linear functions in point-slope form, you can take a look at https://brainly.com/question/13967935


what numbers can multiply to get -55 but also add to get -6

Answers

Answer: 1,  5,  11,  55

HELP


HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.


THX

Answers

Answer:

= 108

Step-by-step explanation:

the rectangle = 12 * 5 = 60

plan A:

the triangle A with H = (13 - 5)/2 = 8/2 = 4

then triangle A = [tex]\frac{1}{2}[/tex] * 6 * 4 = 24/2 = 12

total triangles = 12 * 4 = 48

hexagon area = 60 + 48 = 108

plan B:

there 13 - 5 = 8

because there are identical triangles, so we can shape both of it being a rectangle with short line is 8/2 =4, and long line is 12

then we calculate that rectangle area = 12 * 4 = 48, then total of the hexagon = 60 + 48 = 108

Please look at picture for question.

Answers

Answer:

I believe the blue dot is on -10

Step-by-step explanation:

Counting from zero by 2's

0, -2, -4, -6, -8, -10,...

Hope this helps! :)

An artist paints a mural containing different-sized triangles. The area of each triangle is
given by the function A(x) = 1/2x(x – 3), where x represents the base length of the
triangle, in inches.
What is the area of a triangle with a base length of 16 inches, represented by A(16), in
square inches?

Answers

Answer:

104

Step-by-step explanation:

A(16)=1/2(16)(16-3)

A=8(13)

Area is 104 inches squared

How to test a function graphically​

Answers

Answer:

Step-by-step explanation:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

that is known as the vertical line test

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does no represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Step-by-step explanation:

With the last of your gold, you decide to buy a Ferrari F50 GT1. It has a maximum speed of 380 km/hour. How fast is that in MPH (miles per hour)

Answers

Answer:

237.5 miles / hour

Step-by-step explanation:

The conversion factor is 1.6 km = 1 mile.

1 mile / 1.6 km = x / 380 km / hour                  Multiply both sides by 380 km/hour

380 km/hr * 1 mile / 1.6km = x

237.5 miles / hour = x

33. Jeremy works at a bank and earns $800 for a 40-hour week. His sister, Beth works at a school and only earns $700 for a 30-hour week. Who makes more per hour?

A. Jeremy makes $10 more per hour
B. Beth makes $10 less per hour
C. Beth makes at least $3 more per hour
D. Jeremy makes at least $5 more per hour

Answers

Answer:

Step-by-step explanation:

Jeremy

Pay = 800

Time = 40 hours

Per hour pay= 800/40 = 20 dollars per hour.

Beth

Pay = 700

Time = 30 hours

Per hour Pay= 700 / 30 = 23.33

The answer is C. She gets 23.33 which is 3.33 more than her brother makes.

Does any know how to do paragraph proofs?

Answers

Answer:

A good paragraph should contain at least the following four elements: Transition, Topic sentence, specific Evidence and analysis, and a Brief wrap-up sentence (also known as a warrant) –TTEB!

Step-by-step explanation:

Santa visits 57 houses in 40 seconds. At that rate how many houses can he visit in 160 seconds.

Answers

Uh numbers the answer is numbers

Answer:

x = 228

Step-by-step explanation:

Set up a proportion

57 houses / 40 seconds = x houses / 160 seconds

Cross multiply

9120 = 40x

Divide both sides by 40 to isolate x

x = 228


I hope this helped and please mark me as brainliest!

The electric bills of household in a state are normal distribution the average of $85 with a standard deviation of $8. A sample of 25 households are selected random. Find the probability that the mean bill is less than $83.

Answers

Answer:

0.106

Step-by-step explanation:

We can plug this into normalcdf using the following values:

Lower bound = -1000

Upper bound = 83

Mean = 85

Standard deviation = pop. standard deviation / √(sample size) = 8/5 = 1.6

Please answer this, thank you so much

Answers

Answer:

second one

Step-by-step explanation:

Notice that there's a y intercept of 2 and an x intercept of -4

This means that the line has a positive slope of 1/2, which leaves us with

y<(1/2)x+2

here what one is right?

Answers

Answer:

B.

Step-by-step explanation:

help pls mwah <3 i also give brainliest

Answers

Answer:

i think it is 0.7 correct me if i am wrong i am in the 6th grade

Step-by-step explanation:

Answer:

y=3/4x

Step-by-step explanation:

From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.

Hope that helps

Pls help. I'll mark you as brainliest.

The test scores of randomly selected students are listed: 30, 35, 43, 44, 47, 48, 54, 55, 57, 59, 62, 63, 65, 66, 68, 69, 71, 72, 73, 74, 76, 77, 77, 78, 79, 80, 81, 81, 82, 83, 85, 89, 92,93,94,97,98 Find the median.​

Answers

Answer:

the median is 73 because 73 is the middle number

The median is 73 as it’s in the middle place (19th)

A convention center is in the shape of a rectangular pyramid with a height of 332 m. Its base measures 475 m by 571 m. Find the volume of the convention center. If necessary, round your answer to the nearest tenth

Answers

Answer:

30,015,566.7 m³ OR 3.0 x 10⁷ m³

Step-by-step explanation:

The formula for finding the volume of a rectangular pyramid is:

V = lwh/3

where l = length

w= width

h = height

(475)(571)(332)/3 = 30,015,566.7 m³ = 3.0 x 10⁷

I need help please I can’t fail this

Answers

Answer:

200

Step-by-step explanation:

200 - 35% = 130

130 + 70 = 200

please help ill mark brainliestO​

Answers

Answer:

Yes triangles ACB and FGC are similar using AA.

(Please don't hate if it's wrong)

there are 4 girls who play ping pong after school each girl played exactly three games of ping Pong with each of the other girls how many games of ping Pong with plate altogether

Answers

I’ll assume the question is asking how many games of ping pong the girls played together.

There’s 4 girls who play ping pong after school, each girl played exactly three games.

Each girl played the same amount of ping pong games. 1 girl played three games, 2 girls played six games and so on.
You multiply the number of girls with the amount of ping pong games that each girl played.

4x3=12

It should be 12

There are total 12 games of ping pong with play altogether by girls.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Total number of girls who play ping pong game after school = 4

And, Each girl play 3 games of ping Pong with each of the other girls.

Now,

Since, Total number of girls = 4

And, Each girl play 3 games of ping Pong with each of the other girls after school.

Hence, Total number of games of ping pong game with play altogether by girls is;

= 4 x 3

= 12

Therefore,

There are total 12 games of ping pong game with play altogether by girls.

Learn more about the multiplication visit:

https://brainly.com/question/2811940

#SPJ5

Find an equation for the line below

Answers

Answer:

  y = 1/2x +7/2

Step-by-step explanation:

The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...

  m = rise/run = 2/4 = 1/2

The value of the y-intercept can be found from

  b = y -mx . . . . . . where (x, y) is a point on the line

Using the point (-1, 3), we find the y-intercept to be ...

  b = 3 -(1/2)(-1) = 3 1/2 = 7/2

Then the slope-intercept equation is ...

  y = mx +b

  y = 1/2x +7/2

which values of x are solutions to the equation below?

Answers

Answer:

-5,5

Step-by-step explanation:

move the constant to the right to make it

3x^2=33+42

3x^2=75

divide both sides by 3

x^2=25

sq root of 25 is 5 and -5

Look at the graph below. What is the y-intercept?

Answers

Answer:

- 2 is the answer:)

Step-by-step explanation:

Wherever the line crosses on the y thats the answer

A boat travels upstream a distance of 24 miles on a
river whose current is a constant rate of 3 mph. The boat returns downstream. The trip up the
river and back down the river takes a total time of 6 hours. What would the speed of the boat
be in still water?

Answers

Answer:the answer will be 48

Step-by-step explanation: 24 divided by 3 =8 x 6 =48

I REALLY HOPE THIS HELPS

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+160x+150

Answers

Answer:

Answer below

Step-by-step explanation:

Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.

The equation of the path of a rocket is given that is  y= x^2 + 153x + 98

We need to determine the time that the rocket will hit the ground.

Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.

Therefore, the value of y is 0.

Thus,  -16x^2 +153x + 98 = 0

Now, the formula for finding the roots of the quadratic equation  

 ax^2 +bx +c = 0 is given as:

 [tex]x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]

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

Comparing the expression with the standard form of the equation.

a = -16b = 153 and c = 98

By applying the formula there are two values are come that is,

x^1 = -0.602555

x^2 = 10.1651  

Time can not be negative from any perspective.

Hence, the correct answer is 10.16 seconds.

———————————————————————————————————————-

(Hope this helps can I pls have brainlist (crown)☺️)

Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.9 and a standard deviation of 1.8. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? <μ<

Enter your answers accurately to one decimal place.

Answers

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

A machinist must cut 17 strips of metal that are each 2 ft 6 2/8 in long. What is the total length of metal needed in inches? Write as a proper or mixed fraction.​

Answers

Answer:

Step-by-step explanation:

2/8 inch = ¼ inch

1 ft = 12 inch

17(2(12) + 6¼) = 514¼ inches

provided a shear with zero kerf is used.

A parachutist's speed during a free fall reaches 60 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answers

A) The speed of the parachute in feet per second is; 198 ft/s

B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft

We are given;

Speed of parachute during freefall = 60 m/s

A) We are told that 1 m = 3.3 ft

Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s

B) Speed is now 198 ft/s

Time is 15 seconds

Formula for distance is;

Distance = speed × time

Distance = 198 × 15

Distance = 2970 ft

Read more about distance, speed and time at; https://brainly.com/question/3267354

What is the answer to the question?? Is the answer even on there?

Answers

Answer:

D. $105,750

Step-by-step explanation:

Use the formula I=prt,which stands for "Interest equals principal × rate × time" The clue to use that formula was the phrase "simple interest" The principal is the original amount of the loan, $150,000.

The interest rate is the 3.7% or 4.2% but you MUST change these to a decimal to use them. So we'll be using .037 and .042 for these calculations. The time part of the equation is the 15 years or the 30 years. See image.

Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

Answer:

[tex]d=\sqrt{61}[/tex]

Step-by-step explanation:

The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]

Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery A.

Answers

Answer:

15.48

Step-by-step explanation:

When we divide 6.45 by 10, we get 0.645 so, we know that is the rate per 0.1 pound. We multiply 6.45 by 2 to get 12.9 and add 0.645 four times since it is 2.4 pounds and get 15.48.

Answer:15.48

Step-by-step explanation:

15.48

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