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Mademuasel [1]
3 years ago
11

A map's key shows that every of 5 inches on the map represents 200 miles of actual distance. Suppose the distance between two ci

ties on the map is 7 inches. What is the actual distance between the two cities? Write the rule you used to find the actual distance.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0
The actual distance between the two cities is 280 inches. I set up a proportion because you need to find the x amount of actual inches between the two cities. 

5x= 200 x 7  or  5x = 1400 is 280/ 1400 divided by 5 is 280 actual inches.


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Since the others are congruent and linear so is a and b!!!!!!!!
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Tomas needs exactly 6 potatoes to make 12 potato
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Answer:

<u>Options A , B and D</u>

Step-by-step explanation:

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So, the rate will be 12/6 = 2

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B) Tomas needs exactly 18 potatoes to make 36 potato pancakes.

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C) Tomas needs exactly 24 potatoes to make 44 potato pancakes.

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3 years ago
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Solve this problem out
Virty [35]

Option C

When (2x - 3)^2 is subtracted from 5x^2 then the result is x^2 + 12x - 9

<h3><u>Solution:</u></h3>

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We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So (2x - 3)^2 is subtracted from 5x^2 is written mathematically as:

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<em><u>Expanding the above expression using algebraic identity:</u></em>

(a-b)^2 = a^2 - 2ab + b^2

\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)

Multiplying the nnegative sign with terms inside bracket

<em><u>There are two simple rules to remember: </u></em>

  • When you multiply a negative number by a positive number then the product is always negative.
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\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9

Hence the result is: x^2 + 12x - 9

3 0
3 years ago
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Orlov [11]
The answer would be (11) since that number is used to multiply the variable y.
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Svetradugi [14.3K]

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