Mr. Dyer is studying a map. The map has a scale that says 1.5 inches is equivalent to 125 miles. Mr. Dyer measures and sees that two cities are half a foot apart. He has enough gas in his truck to travel 580 miles. Can he make it from one city to the other on the gas in his truck?

Answers

Answer 1

Answer: Yes he can make the trip without having to refuel.

The distance between the two cities is 500 miles.

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

Work Shown:

half a foot = 1/2 ft = (1/2)*(12 inches) = 6 inches

Based on the scale given, we can say,

(map length)/(real length) = (map length)/(real length)

(1.5 inches)/(125 miles) = (6 inches)/(x miles)

1.5/125 = 6/x

1.5x = 125*6 ............. cross multiply

1.5x = 750

x = 750/1.5 .......... divide both sides by 1.5

x = 500

The two cities are 500 miles apart. Since this is less than 580, he can make the trip without having to refuel.

This is assuming he drives directly from the first city to the second, without any additional pitstops or detours. Though in reality, straight line distance on a map doesn't always necessarily correspond to the road distance traveled (since the road tends to wind or curve often). However, for the sake of this problem, we'll just assume the road is a straight line to keep things simple.

----------------------------------------

Another approach:

1.5 inches = 125 miles

3 inches = 250 miles ..... multiply both sides by 2

6 inches = 500 miles .... multiply both sides by 2

half a foot = 500 miles

So half a foot on paper corresponds to 500 miles in real life.


Related Questions

Which statement correctly compares the function shown on this graph with the function y= 6x - 1? y 10 8 6 4 2 -10 8 6 4 2 -2 2 4 6 8 10 2 6

A. The function shown on the graph has a greater rate of change and a higher starting point. A

B. The function shown on the graph has a smaller rate of change and a lower starting point.

C. The function shown on the graph has a smaller rate of change, but a higher starting point.

D. The function shown on the graph has a greater rate of change and a lower starting point.​

Answers

Answer:

B. The function shown on the graph has a smaller rate of change and a lower starting point.

Step-by-step explanation:

✍️The function y = 6x - 1, has:

slope (m) = 6, and

Starting point/y-intercept (b) = -1

✍️Let's find the slope (m) and the starting point (y-intercept) of the function shown on the graph:

Using the points, (0, -6) and (2, 4),

Slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -(-6)}{2 - 0} = \frac{10}{2} = 5 [/tex]

Slope (m) = 5

The strating value is the value of y when x = 0. In order words, it is the point at which the line of the function intercepts the y-axis.

The y-axis is intercepted at y = -6.

Therefore, the starting value (b) = -6.

Therefore, the statement correctly compares the function shown on the graph above with the function y = 6x - 1 is:

B. The function shown on the graph has a smaller rate of change and a lower starting point.

Comparing their slopes, 5 is smaller than 6.

Comparing their starting points, -6 is lower than -1.

Answer:

B

Step-by-step explanation:

Correct on a p e x

The points in the table lie on a line. What is the slope of the line?
X
-8
-2
4
10
у
8
1
1
-6
-13
The slope of the line is
24

Answers

The slope of the line is-7/6

MATH HELP PLEASEE!! MARKING BRANLISTT! D:

Answers

Answer:

the one with the empty circle

brainliest.pls

Answer:

open circle going to the left so your answer is B

help with this slope ​

Answers

Answer:

slope is 4

Step-by-step explanation:

rise over run lol

You rise 4 and go over 1 so 4 over 1 (4/1) is 4 which the the slop

Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A. 4m + 3
B. 3m + 4
C. 3m – 4
D. 4m – 3

Answers

It would be B because it is three times the marbles so 3M and then four more than that so +4
it would be B bc da marbles shows how many .

Graph the line.
y=-4x+4

Answers

Graph the line.

y=-4x+4

Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4

How do you get the range?​

Answers

Range are possibly output values (y)

The range is -4

Answer: [-4, 8]

Step-by-step explanation:

The range is the mimimum y-value, the highest y-value.

On the graph, the lowest y-value is -4 and the highest y-value is 8. Thus, when writing in the range form, the range would by [-4, 8].

The range would be in hard brackets because the range touches exactly the points of -4 and 8. If each point had an open circle, instead of a closed point, there would be soft brackets.

Two linear functions are shown. Which function has the greater initial​ value?

Answers

Answer:

The answer is Function A

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

Answer:

we conclude that function A has a greater initial value.

Step-by-step explanation:

As we know that the initial value is obtained by setting x=0

so

Given the function A

From function A, it is clear that at point x=0, the value of y=8

i.e.

at x=0, y=8

Given the function B

[tex]y=3x+4[/tex]

substitute the value x=0 to get the initial value of function B

[tex]y=3x+4[/tex]

[tex]y=3(0)+4[/tex]

[tex]y=0+4[/tex]

[tex]y=4[/tex]

i.e.

at x=0, y=4

Therefore, we conclude that function A has a greater initial value.

write a translation rule that maps point d(7 -3) onto point d'(2 5)

Answers

Answer:

translate (x,y) (x-5,y+8)

Question 8 of 9

HELP PLEASE!!Translate the phrase into a variable expression. Use the letter c to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division
the product of 16 and the number of chipmunks...
Answer here
SUBMIT

Answers

The algebraic expression of the statement is 16c

How to rewrite the statement?

The statement is given as:

the product of 16 and the number of chipmunks

Product means *

So, we have:

16 * the number of chipmunks

The number of chipmunks is represented with c

So, we have

16 * c

Evaluate

16c

Hence, the algebraic expression of the statement is 16c

Read more about algebraic expression at:

https://brainly.com/question/19245500

#SPJ1

5/4 ÷ 10 = ?
(hhhhhh... ignore this part, reaching the minimum amount of characters)

Answers

The Correct answer is 1/8

Help pls!?right answer I’ll give you a crown

Answers

Answer:

1.5

Step-by-step explanation:

distance parcouru par une balle de famas

Answers

Answer:

4005 mètres de distance.

Step-by-step explanation:

Which decimal is the largest?
A.0.02
B. 0.2
C. 0.19
D. 0.029
HURRRYYYYYYY

Answers

B. is the correct answer. .2 is the largest off decimals of them all.

Answer:

It's B!

Step-by-step explanation:

Evaluate f(x) = x2 – 12 when x = 5

Answers

Answer:

f(5) = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function notation and substitution

Step-by-step explanation:

Step 1: Define

f(x) = x² - 12

x = 5

Step 2: Evaluate

Substitute:                   f(5) = 5² - 12Exponents:                  f(5) = 25 - 12Subtract:                      f(5) = 13

Answer:

13

Step-by-step explanation:

replace the x with 5.

5^2-12=

25-12=13

2 divided 3 is 2/3. What is
1/3 of 2?

Answers

Answer:

0.6666667

Step-by-step explanation:

1/3 of 2 is 0.6666667

PLS HELP GIVING BRAINIEST

Answers

Answer:

Yes, it is proportional

Step-by-step explanation:

the equation for the table is

x ÷ 28 = y

plug in the numbers for the variables

56 ÷ 28 = 2

84 ÷ 28 = 3

140 ÷ 28 = 5

In the definition of rational numbers, b cannot equal 0, why?

Answers

Answer:

see explanation

Step-by-step explanation:

A rational number Q can be expressed in the form

[tex]\frac{a}{b}[/tex] where a and b can take any integer value except b = 0

This is because it would lead to division by zero which is undefined.

Dividing Rational Expressions

Answers

Answer:

[tex] \frac{6}{(x + 2)} [/tex]

Step-by-step explanation:

[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]

Can someone help me plz ASAP

Answers

Answer:

x=35

Step-by-step explanation:

simple equstion x+40+3x=180 then subtract forty combine the two X's and divide by 180

PLEASE HELP W MATH QUESTION !!!
( WILL MARK BRANLIEST )

Answers

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 5, - 1 ] , thus

f(b) = f(- 1) = - (- 1)² - 4(- 1) + 6 = - 1 + 4 + 6 = 9

f(a) = f(- 5) = - (- 5)² - 4(- 5) + 6 = - 25 + 20 + 6 = 1 , then

average rate of change = [tex]\frac{9-1}{- 1-(-5)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Math Problem will give brainliest! If you say something random i will get you banned.

Answers

Answer: I can’t figure this one out because I’m only in 8th grade.

Step-by-step explanation:

Answer:wh0re

Step-by-step explanation:

So you want to finance a car for $4,840. Let’s say we offer you a 4.5% interest rate on a 2-year loan and 6% on a 5-year loan. Enter this info into the calculator to see your monthly and total cost by loan term.

Answers

Answer:

Totals: 4.5% = 435$ 6% = 1452$, Monthly: 18$, 24$

Step-by-step explanation:

Ashlee worked 1,944 hours last year. She earned $14 for each hour she worked. She wants to use her earnings to buy a new vehicle. Vehicle Choices Price Sedan $25,750 Convertible $27,990 SUV $29,500 She said, "Since 2,000 × 14 = $28,000, and $27,990 is less than $28,000, I know I have earned enough to buy the convertible." Use the drop-down boxes to explain whether or not Ashlee's conclusion is logical.

Answers

Answer:

See Explanation

Step-by-step explanation:

The options are missing. However, the question is still solvable.

Given

[tex]Work\ Hours = 1944[/tex]

[tex]Earnings = \$14[/tex] per hour

[tex]Estimated\ Earnings = \$28,000[/tex]

[tex]Sedan = \$25,750[/tex]

[tex]Convertible = \$27,990[/tex]

[tex]SUV = \$29,500[/tex]

First, we need to calculate her actual earnings.

This is calculated by multiplying the actual work hours (without approximation) by the earnings per hour

[tex]Total\ Earnings = 1944 * \$14[/tex]

[tex]Total\ Earnings = \$27,216[/tex]

Next, we compare this actual earnings to the amount of a Convertible

[tex]\$27216 < \$27,990[/tex]

Hence, Ashlee's conclusion is not logical because with her actual earnings, she cannot afford a Convertible

Determine type of triangle

Answers

Answer:

isosceles right

Step-by-step explanation:

two same side and right angle

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

It is isosceles right triangle as two sides have same meausurement and right angle because 1 angle is 90 degrees

Solve.

one-thirds – 6 < 24

Answers

Answer:

90

Step-by-step explanation:

Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?

Answers

We are going to take 132 divided by 6, because there are 6 different rolls he can get. So, 132/6=22

The probability of getting 3 in 132 times is 22.

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Paul rolls a fair dice 132 times.

The probability of getting 3 in one roll is 1/6

so now it is 132 rolls

so,

= 132/6

= 22

Hence, The probability of getting 3 in 132 times is 22

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ2

What is the distance from A to b
A (0,2)
B (4,5)

Answers

Answer:

4 to the right and 3 upward

or 7 overall

Step-by-step explanation:

4-0=4

5-2=3

Find the slope of the line: i’ll give brainliest :)


picture above ^^

Answers

the answer should be -1/4 because the line is for one going from bottom right to top left (negative) and has a rise of 1 and a run of -4
Here’s the answer w explanation :)

Given that ABCD is a rhombus, what is the value of x?
(3x + 7)
A. 18.25
B. 20.75
C. 30
D. 64
E. 86
F. Cannot be determined

Answers

Answer:

The answer  is

B. 20.75

Answer:b.20.75

Step-by-step explanation:

big brain knowledge

Other Questions
for which of the following reasons might USA Today use blue and red colors on white paper? A. To give the paper a patriotic look and feel B. To give a sense of seriousness to the business audience C. To give the reader a lot of information very efficiently D. To give the paper an air of reliable authority Write a function called hms_to_secs() that takes three int valuesfor hours, minutes, and secondsas arguments, and returns the equivalent time in seconds (type long). Create a program that exercises this function by repeatedly obtaining a time value in hours, minutes, and seconds from the user (format 12:59:59), calling the function, and displaying the value of seconds it returns. How does the large amount of natural resources in Germany affect their economy? A. They trade more and therefore their GDP is higher. B. They trade less and therefore their GDP is lower. C. They place embargos on all traded goods. D. There is no effect on their economy. what is freedom? and are there any limits for freedom? (please include examples)tysm!!! :) Please help i dont get it iam not really good at social studyAct II-Massachusetts Government Act. The colony of Massachusetts was no longer allowed to make its own laws. whats the meaning of this act?why would Parliament create this law You need to purchase enough milk to serve 200 people. How many gallons should you buy? What is an ethnic neighborhood? The perimeter of a rectanglar field is 334 yards. If the widths the field is 78 yards, what is its length The instructions for congress can be found in the ___ How did the verb tense change in lottery The top of a 16-ounce can of a drink is three times thicker than the sides and bottom (so that the flip-top opener will work properly), and the can has a volume of 473 cubic centimeters. What should the radius and height of the can be in order to use the least possible amount of metal? [Assume that the entire can is made from a single sheet of metal, with three layers being used for the top.] help pls? :))))))))) What type of line connects the North and South Poles?a. longitudinalc. equatorialb. latitudinald. tropicalPlease select the best answer from the choices providedD Similar Triangles, find value of X PLS HELP ME I ADDED SCREENSHOT i made sure to add it this time How do I pull an all-nighter without my parents knowing? 1. Doug digs a hole that is 1.7 feet below groundlevel. He plants a bush that is 3 2/10 feet tall fromthe bottom of the root to the top branch. Howmuch of the bush is above the ground? HELP WILL GIVE BRAINIEST AND 20 POINTS!!! HOW DID KAMLA HARRIS WIN? WHAT PROCESS DID IT TAKE FOR KAMALA HARRIS TO WIN VICE PRESIDENT? EXPLAIN THROUGHLY AND GIVE ABOUT 5-6 SENTENCES A student factors a^6 - 64 to (a^2-4)(a^4 + 4a^2+ 16).Which statement about (a^2 - 4)(a^4 + 4a^2 + 16) is correct? What does "I have met her not now, but before, yet to be my wife, but it would be all I ask for" mean?