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sergij07 [2.7K]
3 years ago
14

If Colorado Springs, Colorado, has 1.4 times more days of sunshine than Boston, Massachusetts, how many days of sunshine does ea

ch city have if there are a total of 475 days of sunshine between the two in a year?
Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Suppose, number of sunshine days in Boston, Massachusetts is: x

Then, number of sunshine days in Colorado Spring, Colorado will be: 1.4 x

Given that, total number of days of sunshine for both city is: 475

That is, x+1.4x = 475

Solving for x,

x=198

1.4x= 277

Therefore,

Number of sunshine days in Boston, Massachusetts is 198

and

Number of sunshine days in Colorado Spring, Colorado is 277

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GrogVix [38]

Step 1: Find the slope:

    m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{10-6}{6-5} = \dfrac{4}{1} = 4

Step 2: Set up your equation y-y_1=m(x-x_1) using one of the points.

    Using (5,6) we have y-6 = 4(x-5).

    Using (6,10) we have y-10 = 4(x-6)

Both of those equations would be correct.

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2 years ago
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neonofarm [45]

Answer:

The answer is 82 unit total

Step-by-step explanation:

You can take the entire shape and break it down to normal shapes such as squares and triangles. Then you can use the formula of these shapes to find the area. Last you add all the unit together and that's the answer

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3 years ago
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Solve the equation by completing the square
Nana76 [90]

Answer:

s = - 1 ± \sqrt{7}

Step-by-step explanation:

Given

s² + 2s - 6 = 0 ( add 6 to both sides )

s² + 2s = 6

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add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

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s = - 1 - \sqrt{7} , s = - 1 + \sqrt{7}

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3 years ago
Brian has a gift card with a $250 balance. He buys several video games that cost $33 each. After the purchases, his gift card ba
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Answer: x=6.6969

Step-by-step explanation:

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Answer:

y=(8/9)x + 4 and 2/3

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the slope of this line:

change in y/change in x

change in y=6-(-2)=8

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change in y/change in x= 8/9

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