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Ainat [17]
3 years ago
12

Scale on map is Lin 86 mi if actual distance is 35 mi . Between two cities how far apart on the map are they

Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer:

0.41 cm

Step-by-step explanation:

The scale on the map is 1 in 86 mi.

This means that, 1 cm on the map represents 86 miles in real life, or on earth.

Then we're told that in real life, a distance is 35 miles, and how far they are on the map.

If 1 cm equals 86 miles, then we can say that x cm equals 35 miles

1 cm ----> 86

x cm ----> 35

x * 86 = 35 * 1

x = 35 / 86

x = 0.41 cm

Therefore, they must be 0.41 cm farther or closer apart on the map scale.

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Step-by-step explanation:

7 0
3 years ago
Find all values of $x$ such that $\dfrac{x}{x+4} = -\dfrac{9}{x+3}$. If you find more than one value, then list your solutions i
mixer [17]

We start with

\dfrac{x}{x+4} = -\dfrac{9}{x+3}

Assuming that x \notin \{-4,\ -3\} we can cross multiply the equation:

x(x+3) = -9(x+4) \iff x^2+3x=-9x-36 \iff x^2+12x+36=0

You can recognize the perfect square pattern in the quadratic equation:

x^2+12x+36 = (x)^2 + 2\cdot x \cdot 6 + (6)^2 = (x+6)^2

So, we have

x^2+12x+36=0 \iff (x+6)^2 = 0 \iff x+6=0 \iff x=-6

Which is the only solution, with multiplicity 2.

8 0
4 years ago
Read 2 more answers
Please help... I'm stuck on number 44 and I can't remember how to do it
Leona [35]
3(x+4)=9
3x+12=9
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Hope this helps :D
3 0
4 years ago
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2/3 + 1/4 what is a simplified expression?
Anna35 [415]

Answer:

11/12

Step-by-step explanation:

We need to get a common denominator of 12

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2/3 +1/4

8/12+3/12

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5 0
3 years ago
Larry has 9 gallons of paint. He uses 10 quarts to paint his kitchen and 3 gallons to paint his living room. How many pints of p
const2013 [10]
1 gallon is 4 quarts or 8 pints. 9 gallons - 3 gallons= 6 gallons
Then convert it to quarts so, 6×4=24 quarts.
Then subtract that by 10 quarts so, 24-10=14 quarts.
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5 0
3 years ago
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