For Erin, the graph shows 10 pounds of sugar are used for every 30 cups of tea.
For Lucia, we can let x=3 and we find 3 pounds of sugar are used for 10·3 = 30 cups of tea.
For the same number of cups of tea (30), Erin uses 10 pounds of sugar and Lucia uses 3 pounds of sugar.
Erin uses sugar at a higher rate.
Answer:
x=3or-1
Step-by-step explanation:
x-3 (5x-6)=3-10x
5x^2-15x-6x+18=3-10x
collect like terms
5x^2+18-3=15x+6x-10x
5x^2+15=11x
5x^2-11x+15=0
factorise
(x-3) (5x+5) =0
...... x=3 or -1
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Answer:
1). 0.903547
2). 0.275617
Step-by-step explanation:
It is given :
K people in a party with the following :
i). k = 5 with the probability of 
ii). k = 10 with the probability of 
iii). k = 10 with the probability 
So the probability of at least two person out of the 'n' born people in same month is = 1 - P (none of the n born in the same month)
= 1 - P (choosing the n different months out of 365 days) = 
1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)
= 
= 
= 0.903547
2).P( k = 10|at least 2 share their birthday in same month)
=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)
= 
= 0.0.275617
You are close, but it is not the correct answer.
1 + 2k = 5k + 7
First, since we are trying to get the variable by itself, we need to move all things to one side. Let's subtract 1 from each side.

Second, we can now subtract (7 - 1) to get 6. Let's add that into our problem and then subtract 5 from each side, still trying to get the variable by itself.

Third, subtract (2k - 5k) to get -3k. Hint the negative symbol now. If the problem were switched the other way, it would still be a positive.

Fourth, we can now divide each side by -3. This results in a fraction and also getting the variable by itself on one side of the problem. Remember the negative sign in front of the fraction since (-3) carried it.
Fifth, this is our last step. We need to simplify the fraction. Since out fraction is 6/3, which number multiples by 3 to get the answer of 6? The answer is 2, since (3 × 2 = 6). Don't forget the negative!

Answer:
She paid $5.669. Rounded to the nearest hundredth, $5.67. Rounded to the nearest whole number, $6.