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Nikolay [14]
3 years ago
9

The scale on a map is 3 inches for every 6 1/4 miles. If the distance on the map is 5 1/2 inches, how far apart are the cities i

n real life
Mathematics
1 answer:
vovikov84 [41]3 years ago
4 0
I think it is 34 3/8
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Write an equation that represents the line. Use exact numbers
mestny [16]

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}

Equation of line is given by:

y=mx+b

Putting the value of slope

y = \frac{5}{6}x +b

Putting (4,6) in the equation

6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}

Putting the value of b

y = \frac{5}{6}x+\frac{8}{3}

Hence,

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/537230
  • brainly.com/question/5345266

#LearnwithBrainly

7 0
3 years ago
110 is 45% of what number
aev [14]

Answer:49.5

Step-by-step explanation:

To find the 45% of 110

45/100×110

=49.5

5 0
3 years ago
Read 2 more answers
four students spent 12 on school lunch.at this rate find the amount 10 students would spend on the same school lunch
zloy xaker [14]

Step 1: Set up the proportion

4/12 = 10/x

Step 2: Cross multiply to get

120 = 4x

Step 3: Divide all by 4 to get

30 = x

Answer: So in total, 10 students would spend $30 on lunch!



4 0
4 years ago
Is sqrt(1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?​
jonny [76]

Answer:

  I and IV

Step-by-step explanation:

Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...

  √(cos(θ)²) = |cos(θ)| = cos(θ)

This will be true where the cosine is non-negative, in the first and fourth quadrants.

7 0
4 years ago
A bicycle is made up of two basic geometric shapes. They are:
alex41 [277]
They are circle and triangle.

Best of luck in geometry
5 0
4 years ago
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