The scale for a map to actual distance is 2 centimeters to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 5.4 centimeters. What is the actual distance, in miles, between Los Angeles and Las Vegas?

Answers

Answer 1

[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]


Related Questions

6,600,000,000 exponential notation

Answers

Answer:

6.6 x 10^9

Step-by-step explanation:


Problem example: For the given sequence: -2,2,6,10,14,18
Write a recursive formula to find the nth term: a = an-1+4
Write a explicit formula to find the nth term: a = -2 + 4(n-1)
What is the 64th term in the sequence?

Answers

Answer:

250

Step-by-step explanation:

You can take the explicit formula and simply substitute the n value with 64:

-2 + 4 * (64 - 1)

-2 + 4 * (63)

-2 + 252

250

what is the height of h of the triangle?

Answers

Answer:

4.23 feet

Step-by-step explanation:

We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.

Which is greater, -6.4 or -6.5? please explain !!

Answers

Answer:

-6.4 is GREATER.

The number closest to 0 is greater.

no link no bot right please

Answers

9514 1404 393

Answer:

  10.49

Step-by-step explanation:

Since we know 110 = 10² +10, we can make a first approximation to the root as ...

  √10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root

This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.

One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.

  ((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49

An approximation of √110 accurate to hundredths is 10.49.

__

The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.

For n = s² +r, the first approximation is ...

  √n = s +r/(2s+1)

An iterated approximation is ...

  s + r/(s +(s +r/(2s+1)))

The adds 's' to the approximate root to make the new fraction denominator.

For this root, the refined approximation is ...

  √110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49

_____

Additional comment

Any square root can be represented as a repeating continued fraction.

  [tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]

If "f" represents the fractional part of the root, it can be refined by the iteration ...

  [tex]f'=\dfrac{r}{2s+f}[/tex]

__

The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.

PLEASE HELP! Economics

Answers

100 francs = 50 dollars

Exchange rate = 50/100

= 1/2

= 0.50 dollars per franc (C)

Note :-

It's dollars per franc because here the dollar has more value.

______

RainbowSalt2222 ☔

Answer:

Im pretty sure it is c

Step-by-step explanation:

A baseball pitcher has made 53 pitches in the first four innings of a baseball game and plans to pitch 3 mote innings. The manager of the team has committed to allowing his pitcher to throw, at most, pitches during the game. Write an inequality to find the average number of pitches the pitcher can throw over the next three innings Solve the inequality from Part 1. What is the maximum number of pitches the pitcher can make in cach of the next 3 innings ? Graph your solution from Part 2 on a number line and explain what your solution means. If the pitcher threw just 6 pitches in the fifth inning, what is the greatest number of pitches the pitcher can throw per inning he wishes to pitch nine innings? Write and solve an inequality to answer this part.

Answers

Answer:

at most 17 pitches per inning

Step-by-step explanation:

It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.

We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.

From part (a) we know  3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of  p pitches per inning in the next 3 innings.

If the pitcher can make at most 105 pitches, then:

3 p + 53 ≤ 105 3p+53≤105 ​  

To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:

3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53      

3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]

at most 17 pitches per inning

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

Select all the correct answers.
Which statements are true about function g?

Answers

Answer:

i need the question

Step-by-step explanation:

expand and simplify (3x-2)2

Answers

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)² = (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

-2.875 greater than or less than -2 7/8

Answers

Answer:

They are both the same.

Step-by-step explanation:

-2.875

7/8 = 0.875 thus -2 7/8 is equal to -2.875

Can someone help me please I’ve been stuck for a week :(

Answers

Answer:

8/25.

Step-by-step explanation:

As a fraction it is 32/100 but simplified is 8/25 :)

bill planted 4 pecan trees and 2 apple trees what fraction of that is pecan

Answers

Answer:

4          /           6                   or 2/3

pecan           total tree

Answer:

2/3

Step-by-step explanation:

So, Bill planted -

Pecan trees = 4

Apple trees = 2

Total trees = 6

We want the fraction of Pecan trees. Thus,

4/6

Where 4 is Pecan trees, (What we want)

And 6 is the total.

4/6 in its simplest form is 2/3.

I hope it helps.


15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?

Answers

Answer:

3000 residents

Step-by-step explanation:

Given:

15% of population = 450100% of population = x

Cross-multiply and solve for x:

x = 100*450/15 = 3000

Plot the point (6, 0) on the coordinate plane.

Answers

Answer:

Just go to the 6 on the bottom line, and add a point

Answer:

see below

Step-by-step explanation:

(6,0)

 The first coordinate is the x coordinate.  Since it is positive we go to the right 6 units.  The second coordinate is the y coordinate.  We go up zero units

A package contains 12 ounces of cereal .If you use 1 portion of this cereal which is 1 1/3 how much would be left in the cereal box?

Answers

To answer this question, you would need to divide the total amount of cereal in the box by the serving size.

This would be 12 2/3 divided by 1 1/3.

We can write each mixed number as an improper fraction first before we divide:12 2/3 = 38/3 and 1 1/3 = 4/3

Now divide 38/3 by 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2

Also, 19/2 is equivalent to 9 and 1/2. There would be 9 and 1/2 servings in the box of cereal.

Hope this helps

perform the operation and simplify

Answers

Answer:

[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]

Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square

Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help

What is a common denominator for 1 3/4 and 1 4/5

Answers

Answer:

20

Step-by-step explanation:

A common denominator is a number that is a multiple of both denominators.

To find it just write the multiplication table of the numbers and find a number that appears in both of them.

In this case, we have 4 and 5:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.

[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]

Apply the distribute property, substitute the given numerical value given:
9(-3r -11), r=10

Answers

Answer:

-369

Step-by-step explanation:

Replace r with 10.

9(-3(10)-10))

9(-30-11)

9*-30+9*-11

-270+ -99

-369

Hope this helped. :)

what is 433.54 in terms of pi?

Answers

Answer:

The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".

Step-by-step explanation:

got the information from the internet

-
Find the equation of the line that
is parallel to y = 2x – 7 and
contains the point (-3,6).

Answers

Step-by-step explanation:

The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too

2)  with the slope and the two points givens, you can find the equation

Y-Y1 = m( X-X1) ,   Y-6 = 2[(X-(-3)]  ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7

1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?​

Answers

Answer:

2:1  or  2

Step-by-step explanation:

*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".

 >> therefore 10/5 can be simplified to 2/1 )***

    For every 10 notebooks, there are 5 ballpens.

    Therefore, for every 2 notebooks there is 1 ballpen (The simplification).

EXTRA:  

**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.

  2/1 is not the same as 1/2 **

solve the equation 5/x+3 + 4/x+2 = 2

Answers

Answer:

5 + 4 = 9

x × x = X2

3 + 2 = 5

9/x + 5 = 2

Answer:

5/x+3+4/x+2=2

=9/x+5=2

9/x=-3

Multiply both sides by x

9= -3x

Divide by -3

Answer x=  -3

Hope this helps

Which situation involves permutations? A. choosing 5 people out of 15 to participate in a survey B. choosing 3 flavors of ice cream out of 15 for an ice-cream sundae C. choosing a dozen flowers out of 30 to create a bouquet D. choosing first second-, and third-place winners in a cooking contest​

Answers

9514 1404 393

Answer:

  D. choosing first second-, and third-place winners in a cooking contest​

Step-by-step explanation:

Permutations are involved when order matters. The order of people surveyed, sundae flavors, and flowers are irrelevant. The order of first-second-third is entirely relevant.

Cooking contest winners involve permutations.

6. Johanna buys a shirt for s dollars to sell in her clothing
store. She
increases the price by 7.5% Write an
expression to represent the new price of the shirt.

Answers

Answer: 1.075s

Step-by-step explanation:

s*175/100=1.075s

plsssss helpppppp i’ll give brainliest

Answers

Answer:

[tex]-6\leq x\leq 6[/tex]

Step-by-step explanation:

This is answer for the last question.

Find the product -5.5(-1/5)?
a. -1.1
b. 2.75
c. 1.1
d. -0.275

Answers

The answer is 1.1 brainliest

Answer:

c. 1.1

Step-by-step explanation:

-5.5(-1/5) = 5.5/5 = 1.1

Find the product. Simplify your answer.
(m+2)(3m+2)

Answers

there you go the answer is in the picture

3m^2+2m+6m+4
3m^2+8m+4

1 32 multiplied by 0.32 when rounded to the nearest hundredths

Answers

Answer:

42.20

Step-by-step explanation:

132 ×0.32

=42.24

rounded off it give 42.20

Jersey Mike’s is offering $0.80 off its foot-long sub sandwiches. If this represents a 20% markdown, what is the sub’s regular selling price?

Answers

The subs will be $4 at regular price
The subs will be $4 at regular price

In the diagram, <4 and <5 are what type of angles?

A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles

Answers

Answer:

B. Alternate interior angles

Step-by-step explanation:

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