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svet-max [94.6K]
3 years ago
12

2x + y = 7 -2x - y = 6 Solve systems of equations by substitution

Mathematics
1 answer:
ehidna [41]3 years ago
4 0

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

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Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total w
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The answer is
carrots - 0.8 pounds
crackers - 1.5 pounds


x - the weight of carrots
y - the weight of crackers
<span>The total weight was 2.3 pounds: x + y = 2.3
</span>
Carrots sell for $2.10 per pound: 2.10x
<span>Crackers sell for $2.90 per pound: 2.90y
</span><span>The total cost was $6.03: 2.10x + 2.90y = 6.03

</span>x + y = 2.3
2.10x + 2.90y = 6.03
_________
x = 2.3 - y
2.10x + 2.90y = 6.03
_________
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4.83 + 0.80y = 6.03
0.80y = 6.03 - 4.83
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y = 1.20y : 0.80
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x = 2.3 - y = 2.3 - 1.5
x = 0.8 pounds
3 0
3 years ago
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What is the sum of the exterior angles of a convex polygon?
Volgvan

Answer:

A

Step-by-step explanation:

The sum of the exterior angles for each polygon is always 360°.

The sum of the interior angles for each polygon is always 180°(n-2).

If you have n-sided convex polygon, then

\left(\text{Sum of all interior angles}\right)+ \left(\text{ Sum of all exterior angles}\right)=180^{\circ}\cdot n

So,

\left(\text{Sum of all interior angles}\right)+ 180^{\circ}\cdot (n-2)=180^{\circ}\cdot n\\ \\\left(\text{Sum of all interior angles}\right)=180^{\circ}\cdot n-180^{\circ}\cdot (n-2)=180^{\circ}\cdot (n-n+2)=360^{\circ}

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Answer:

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For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
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Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

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