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sveticcg [70]
3 years ago
7

4. A guardrail that runs along the

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

There are 50 sections.

Step-by-step explanation:

Given,

Length of section = 10 meters

Total length of guardrail = 0.5 km

We will convert this length in meters.

1 km = 1000 meters

0.5 km = 0.5*1000 = 500 meters

Now,

No. of sections = \frac{Total\ length\ of\ guardrail}{Length\ of\ one\ section}

No. of sections = \frac{500}{10}

No. of sections = 50

There are 50 sections.

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3 years ago
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4 years ago
How to solve the system of equation 500y-600x=2800 , 400y-400x=2400 by elimination
tatiyna

Answer:

x=2 and y=8

Step-by-step explanation:

Given:

Equation 1:

500y-600x=2800

Simplifying the above equation by dividing both sides by 100

\frac{500y-600x}{100}=\frac{2800}{100}

\frac{500y}{100}-\frac{600x}{100}=28\\\\5y-6x=28

Equation 2:

400y-400x=2400

Simplifying the above equation by dividing both sides by 400.

\frac{400y-400x}{400}=\frac{2400}{400}

\frac{400y}{400}-\frac{400x}{400}=6\\\\y-x=6

Now the system of equation is:

(1a) 5y-6x=28

(2a) y-x=6

Solving by elimination

Multiplying equation (2a) with -5

-5(y-x)=-5\times 6

(2b) -5y+5x=-30

Adding equations (1a) and (2b) in order to eliminate y

      5y-6x=28

+  -5y+5x=-30

We get -x=-2

∴ x=2

Plugging x=2 in equation (2a).

y-2=6

Adding 2 both sides.

y-2+2=6+2

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3 years ago
Solve using substitution x = 3y + 1 2x + 4y = 12​
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Answer:

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Step-by-step explanation:

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-2x = -6y - 2

0 = -10y + 10

-10 = -10y

y = 1

x = 3y + 1

x = 3(1) + 1

x = 3 + 1

x = 4

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Answer:

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