On a hiking trail​ map, the distance from mountain peak A to mountain peak B is 12.3 inches. The actual distance is about​ 1,000 miles. What is the distance on the same map from river A to river B if the actual distance is about 100​ miles?

Answers

Answer 1

Answer:

The distance of the rivers on the map is of 1.23 inches.

Step-by-step explanation:

We use proportions to solve this question, by a rule of three.

We have that:

If the actual distance is of 1000 miles, the distance on the map is of 12.3 inches. If the actual distance is 100 miles, what will be the distance on the map?

1000 miles - 12.3 inches

100 miles - x

Applying cross multiplication

[tex]1000x = 12.3*100[/tex]

[tex]1000x = 1230[/tex]

[tex]x = \frac{1230}{1000}[/tex]

[tex]x = 1.23[/tex]

The distance of the rivers on the map is of 1.23 inches.


Related Questions

If Ira runs at the same rate, how many laps can they run in 20 minutes?

Answers

Answer:

it is roughly 15.3 laps (i rounded 1.6666666666667 to 1.7) i'll explain

Step-by-step explanation:

ratio of laps to minutes: 9:12,

20/12 = 1.6666666666667 rounded to 1.7

9 x 1.7 = 15.3

sorry that i had to round and that it is a little off, hoped i helped you tho

What is the rate of ira running

pls SOLVE <3l!!
Determine when the cost of the two services will be the same amount, and what the price will be.
The Strauss family is deciding between two lawn-care services. Green Lawn charges a $42 startup fee plus
$28 per month. Yard Guard charges a $24 startup fee plus $34 per month.
After
months, a customer would have paid either company $

Answers

Answer:

the answer is 159 dollars in total

Step-by-step explanation:

good luck guys

This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?

Answers

Answer:

$2690.28

Step-by-step explanation:

2862 decrease 6% =

2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28

Answer:

2700

Step-by-step explanation:

106%-> 2862

100%->2700

Evaluate the following expression.

2⁵ + (10 - 7)⁴ + 6

Answers

Answer:

the answer is 119 hope this helps

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

2 to the power of 5 is 32 and 10 - 7 = 3 and 3 to the power of 4 is 81 and 81 + 32 is 113 and 113 + 6 = 119

Jim and kate have a piece of ribbon that is 1/3 yards long. They want to use this piece of ribbion to make two book marks that are the same length

Answers

1/3 of a yard long is equal to a foot. 1 foot=12 inches. Each of the bookmarks would need to be 6 inches if they are going to be the same length.
ANSWER:6 inches

A diver jumps from a platform diving board that is 32 feet above water. The height , h of the diver above water , in feet, t seconds after jumping from the platform , can be determined by the equation h=-16t^2+20t+32. Determine the diver's height above water 2 seconds after jumping from the platform.
CAN SOMEONE HELP ME OUT PLEASE!!!!!!!!!!

Answers

Answer:

h=8

Step-by-step explanation:

h = -16t^2 + 20t + 32

h = -16(2)^2 + 20(2) + 32

h = -16(4) + 40 + 32

h = -64 + 72

h = 8

Answer:

2 seconds

Step-by-step explanation:

i got it right, no explanation <3

Of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida. Find the number preferring to vactions in florida

Answers

Answer:

238 people

Step-by-step explanation:

68% of 350 is 238

Question 3
Describe the function between x=-4 and x = -1.

Answers

Answer:

liner increasing

Step-by-step explanation:

what is 5% of 20? I need help

Answers

Answer:10

Step-by-step explanation:

A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in
each pack. Which set of equations shows how many pieces of gum, g, each
friend receives?

Answers

may be the answer is :4g-2=8 ^-^

but donot depend in this answer it's not sure okay

28 1/3 mins to run 3 1/3 miles

Answers

You would run at least 1 mile every 9 minutes

Please help me someone

Answers

Answer:

A

Step-by-step explanation:

PV(1+i)^n

2000(1+.015)^x

2000(1.015)^x

A

-4n = 16 plssssssssssssssssssss help

Answers

Answer:

n would be -4

Step-by-step explanation:

(two negatives multiplied together make a positive)

-4n = 16

/-4    /-4

n = -4

Im not sure how to do this "y=x+0.5

Answers

Your starting point is 0.5 and your slope is x or 1/1.

Item 2
Which of the following is not another way of expressing 88 out of 100?


22/25

0.088

88%

0.88

Answers

Answer:

The answer is B: 0.088

Step-by-step explanation:

22/25, multiply both sides by 4 to get 88/100

88% is 88/100

0.88 is 88/10

B :)

0.088 would be a lot less than a whole number

In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.

Answers

Answer:

26

Step-by-step explanation:

2 squares + 3 circles = 31. So, the sum of the squares is divisible by two, and the sum of the circles is divisible by 3. Then, I used trial and error to figure out that the square's value is five, and the circle's value is seven. 5 + 7 + 7 = 19. 27 - 19 = 8. The triangle's value is eight. 5 + 7 + 12 = 24. It works. 15 + 7 + 4 = 26

Answer:

26

Step-by-step explanation:

i did it i got it correct!!!

(1). There are always 4 bars of chocolates,
left when box of chocolates shared
equally among 8, 10, or 12 children.
Find the smallest number of chocolates
in the box,​

Answers

Answer:

The smallest number of chocolates in the box is 124.

Step-by-step explanation:

There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.

This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.

LCM(8,10,12).

We factore them by prime factors until all are 1. So

8 - 10 - 12|2

4 - 5 - 6|2

2 - 5 - 3|2

1 - 5 - 3|3

1 - 5 - 1|5

1 - 1 - 1

So

lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120

Adding 4: 120 + 4 = 124

The smallest number of chocolates in the box is 124.

Write the inequality for the following: four times a
number increased by 2 is less than -24.

Answers

4 · n + 2 < -24

Hope this helps! Good luck! :)

the answer is x< -7

Needing some help please

Answers

Answer: Should be (4,0)

Step-by-step explanation:

Please help me with these questions I’ll give you brainliest if you help with all questions

Answers

Answer:

sorry sorry  sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorryStep-by-step explanation: i dont kno w

A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).

Answers

Answer:

a)

The possible values are 0, 1, 2 and 3.

The probability mass function of X is:

P(X = 0) = 0.125

P(X = 1) = 0.375

P(X = 2) = 0.375

P(X = 3) = 0.125

b)

[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]

c) E(X) = 1.5, Var(X) = 0.75

Step-by-step explanation:

For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

A fair coin is flipped three times.

This means that [tex]n = 3[/tex]

Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]

a) Give both the possible values and probability mass function of X.

The possible values are from 0 to n, so 0, 1, 2 and 3.

The probability mass function is the probability of each outcome. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]

[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]

[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]

[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

(b) Find P(X ≥ 1) and P(X > 1).

[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]

[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]

(c) Compute E[X] and Var(X).

[tex]E(X) = np = 3*0.5 = 1.5[/tex]

[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]

If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?

Answers

Answer:

What is the angle of rotation for this counterclockwise rotation about the origin?

answer:

270°

Step-by-step explanation:

Write a numerical expression to represent the phrase the quotient of 12 and the product of 4 and 5

Answers

Answer:

[tex]\frac{12}{4*5}[/tex]

Step-by-step explanation:

the quotient of 12 and the product of 4 and 5 can be written in mathematical form as:

12 / (4 * 5)   or [tex]\frac{12}{4*5}[/tex]

HELP HELP PLSSSSSSSSS

Answers

Answer:

9) c) 1

10) c) 215

Step-by-step explanation:

Step:1

Given that the expression

      [tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]

Put r = 9

 =    [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]

 =  [tex]\frac{40}{2} -\frac{76}{4}[/tex]

=   20 - 19

=1

Step(ii):-

Given that

[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]

Put r = 9

=  [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]

=  20 + 13(15)

= 215

1. VOCABULARY Copy and complete: 'Two polygons are similar if
corresponding angles are ? and corresponding side lengths are ?.

Answers

Answer:

?????????????????/?

Step-by-step explanation:

show if the following numbers are rational 1¾

Answers

Answer:

Rational!

Hope that helps!

Step-by-step explanation:

2 out of every 7 come on a weekend. what percentage of days come on a weekend?
determine the answer to the nearest tenth of a percent

Answers

Answer:

0.30%

Step-by-step explanation:

Question:

If the nearest percentage is 0.30% what’s the nearest tenth of a percent?

Which equation represents a line parallel to the line y=1/5x + 4

A. x + 5y = 25
B. 5x + y= 3
C. 5x - y= 7
D. 5y - x= -20

Answers

Answer:

d

Step-by-step explanation:

5y-x=-20

5y=x-20

y=1/5x-20

this would be a BIG help i am almost done with the semester and i am not good at math really but its my fav teacher so i dont want to have to leave it blank for her In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation.

After an 8-week exercise program Grace lost 45 pounds. She now weighs 122 pounds. How much did Grace weigh before she started her exercise program?

Answers

Answer:

Grace weighed 167 pounds before she started her exercise program. Step-by-step explanation: Given, Weight lost by Grace = 45 pounds. Weight of Grace after exercise weeks = 122

Step-by-step explanation: sorry if im wrong

Write an expression showing 5 less than the number

Answers

x-5 is your expression

Answer:

5 < x (number)

Step-by-step explanation:

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