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.

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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.

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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

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

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

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

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

Answers

Answer:

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

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.

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 .

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:

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

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

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

distance parcouru par une balle de famas

Answers

Answer:

4005 mètres de distance.

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:

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 :)

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:

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.

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]

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

Answers

The Correct answer is 1/8

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

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

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

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:

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

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

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

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.

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

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

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

Answers

Answer:

1.5

Step-by-step explanation:

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