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mote1985 [20]
3 years ago
10

What is the solution to this system

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

Answer:

(1, - 1)

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (1, - 1)

Then (1, - 1 ) is the solution to the system.

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The awnser is (3,0)
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3 years ago
1. There are two differnt maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati i
xeze [42]

Answer:

1.  0.8 cm

2.  1.6 cm

Step-by-step explanation:

1.

The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".

We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.

So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

\frac{1}{50}=\frac{x}{40}\\50x=40\\x=\frac{40}{50}\\x=0.8

Hene, 0.8 centimeters would be the distance in 2nd map

2.

A scale of 1:50 means 1 cm equal 50 cm

So, 0.8m would be

0.8 * 100 = 80 cm

Hence, 80 cm would be represented by 80/50 on the map, that is:

\frac{80}{50}=1.6

That is 1.6 centimeters

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3 years ago
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3 years ago
Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance
aliya0001 [1]

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let x miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled x miles, the remaining distance is the distance between the lunch stop and the beach.

Let y miles be the remaining distance, so

y=125-x.

Give that the ratio of the distance he has traveled, x, to the distance he still has to travel, y, is 2:3,i.e

x:y=2:3

\Rightarrow \frac x y =\frac 2 3

\Rightarrow \frac {x}{125-x}=\frac 2 3

\Rightarrow 3\times x=2\times(125-x)

\Rightarrow 3\times x=2\times125-2\timesx

\Rightarrow 3 x=250-2x

\Rightarrow 3x-2x=250

\Rightarrow x=250

Hence, the distance traveled by Herman when he stops for lunch is 250 miles.

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3 years ago
What is 6(-5n + 7) simplified?
MrRa [10]

Answer:

-30n+42

Step-by-step explanation:

Hope fully this is helpful

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3 years ago
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