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dsp73
3 years ago
14

What is the solution to the system of equations x-y=5 and 3x+7y=-5​

Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

Step-by-step explanation:

3(x-y)-3x-7y=3(5)-(-5)

3x-3y-3x-7y=15+5

-10y=20

y=-2, since x-y=5

x-(-2)=5

x+2=5

x=3

So the solution is the point (3,-2)

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If the train from Milan, Italy, to Rome, Italy, takes 6 hours at a speed of 130 miles per hour, how many miles from Milan is Rom
Fittoniya [83]

Step-by-step explanation:

the speed is 130 miles / hour.

that means the train travels 130 miles in 1 hour.

so, the question is, how far is it traveling. when it is going with that speed for 6 hours ?

well, 130 × 6 = 780 miles.

formally, speed is "distance / time".

multiplying this by some time, we have then an expression of "(distance / time) × time", which is then simply "distance".

8 0
2 years ago
If a=2^3 x 3^7 x 5^3 x 11^4 and b= 2^2 x 3^5 x 7^2 x 11 x 13 , find the following:
Natalka [10]

Answer:

10,692

Step-by-step explanation:

GCF stands for Greatest Common Factor.  

The way to find it is easy once you have the prime decomposition.

Search for common factors in the decomposition and take the least power, then multiply them all.

So, in our case, as the numbers are already broken down into prime factors , we have

GFC(a,b)=2^2.3^5.11=10,692

5 0
3 years ago
Plot 4/7 on the number line
erik [133]

Answer:

0.57, which is a number between 0 and 1

Step-by-step explanation:

The fraction 4/7 is approximately equal to 0.57 as a decimal, so you would plot 4/7 where 0.57 should go

8 0
3 years ago
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3/2^x=12 solve for x Two step equations
cricket20 [7]
Here’s the Answer for this equation

3 0
3 years ago
Given that sin0=21/29 what is the value cos 0 for 0°< 0<90°
sp2606 [1]

Answer:

20/29

Step-by-step explanation:

sin θ = 21/29

Use Pythagorean identity:

sin² θ + cos² θ = 1

(21/29)² + cos² θ = 1

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cos θ = ±20/29

Since 0° < θ < 90°, cos θ > 0.  So cos θ = 20/29.

3 0
3 years ago
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