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dybincka [34]
3 years ago
10

The scale from a map to actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5 cm.

What is the approximate distance, in miles, between Chicago and Boston? Show your work. Please help me
Mathematics
1 answer:
swat323 years ago
4 0

Answer: 868 miles

Step-by-step explanation:

Given: The scale from a map to actual distance is 2.5 cm to 620 miles.

i.e. 1 cm on map  = \dfrac{620}{2.5}\text{ miles}=248 \text{ miles}

If the distance on the map between Chicago and Boston is about 3.5 cm.

Then, the actual distance between them =  3.5\times 248 \text{ miles}=868 \text{ miles}

Hence, the approximate distance between Chicago and Boston = 868 miles.

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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
blagie [28]

Step-by-step explanation:

Length = L

Width = W

L=8 more than 2W

L = 8 * 2W

L = 16W

Perimeter = 96

perimeter is the lengths of all sides added together

so

2L + 2W = 96

we have

L = 16W

2L + 2W = 96

let's do substitution

put what L = into 2L + 2W = 96

so

2(16W) + 2W = 96

can you rearrange that to get w

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4 0
2 years ago
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

6 0
3 years ago
a marble was randomly selected from a bad containing 3 red marbles , 3 blue marbes and 3 green marbles . what is the probability
galina1969 [7]

Answer:

\frac{1}{3}

Step-by-step explanation:

If there are 9 marbles in total and the desired outcome is to pick a green marble then the probability is \frac{desired outcome}{totaloutcomes} = \frac{3}{9} which simplifies down to a third.

8 0
3 years ago
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Please help worth 30 pts<br>​
cestrela7 [59]

Answer:

So I believe your just graphing here like a line or bar graph. Look at images in Google for references if needed.

5 0
3 years ago
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Calculate the slope of the line that contains the points: (2, -3) and (6, -3)
Brilliant_brown [7]

Answer:

\displaystyle m = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (2, -3)

Point (6, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{-3- -3}{6- 2}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{0}{4}
  3. [Fraction] Divide:                                                                                              \displaystyle m = 0
6 0
3 years ago
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