Answer: 4 7/20 gallons
Step-by-step explanation:
Gallons of soup made = 10 3/5
Gallons that was chicken noodle = 6 1/4
The gallons that wasn't chicken noodle will be:
= 10 3/5 - 6 1/4
= 10 12/20 - 6 5/20
= 4 7/20
Therefore, 4 7/20 gallons wasn't chicken noodle.
Answer:
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Answer:
x=9, y=10. (9, 10). The two numbers are 9 and 10.
Step-by-step explanation:
3x+5y=77
x+y=19
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3x+5y=77
-3(x+y)=-3(19)
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3x+5y=77
-3x-3y=-57
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2y=20
y=20/2
y=10
x+10=19
x=19-10
x=9
Hey there! I'm happy to help!
Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.
If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.
We multiply the probabilities of these two events to find the probability of them both happening.
1/2×25/51=25/102
The probability of picking two red cards in a row is 25/102 or around 24.5%.
Have a wonderful day! :D
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
