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zmey [24]
1 year ago
13

X + 3y = 12 2 x - 4 y = 4solve by graphing.

Mathematics
1 answer:
zloy xaker [14]1 year ago
4 0
\begin{gathered} x+3y=12 \\ 2x-4y=4 \end{gathered}\begin{gathered} x=12-3y \\  \\ 2(12-3y)-4y=4 \\ 24-6y-4y=4 \\ 24-10y=4 \\ -10y=-20 \\ y=2 \\  \\ x=12-3(2) \\ x=12-6 \\ x=6 \end{gathered}

By graphing

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Traveling from San Antonio to Dallas, you fist pass through Austin and then Waco before reading Dallas, a total distance of 280
pshichka [43]
The answer is 70 miles.

If we express distances as following:
T - total distance
a - distance from <span>San Antonio to Austin
b - </span>distance from <span>Austin to Waco
c - </span>distance from <span>Waco to Dallas
Then:
T = 280 mi
b = a - 30 mi        </span>⇒ a = b + 30<span>
b = c + 20 mi       </span>⇒ c = b - 20<span>

T = a + b + c
</span>⇒ a + b + c = 280
⇒ b + 30 + b + b - 20 = 280
⇒ 3b +10 = 280
⇒ 3b = 280 - 10
⇒ 3b = 270
⇒ b = 90 mi.

Distance from <span>Waco to Dallas is c.
</span><span>c = b - 20
</span>⇒ c = 90 - 20
⇒ c = 70 mi

Therefore, distance from <span>Waco to Dallas is 70 miles.</span>
8 0
3 years ago
Explain how you know that 5/8 + 6/10 is greater then 1
WARRIOR [948]

Step-by-step explanation:

So you would need to find a common denominator to add the fractions together first, and the closest would be 40

5/8 turns into 25/40 because we times the bottom and the top by 5 to get the LCD (least common denominator)

6/10 turns into 24/40 when times by 4 for the LCD of 40

Then add them together: 25/40 + 24/40 = 49/40

And since 1 could also be written as 40/40 since that is the whole number, this means the following expression is true.

49/40 > 40/40 (or 1)

8 0
3 years ago
Read 2 more answers
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Answer:

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4 years ago
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Answer:

There would have to be -6

Step-by-step explanation:

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