Use Subtraction
1. Subtract
x+2y=7
3x-2y=-3
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4x+0y=4 SIMPLIFY 4x=4
2. DIVIDE
4x=4
x=1
Substitute that into either of the original equations to get x=1, y=3
Answer:
Step-by-step explanation:
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
f(x) represents the total number of pages Antonia has read; x represents the number of days
Answer:
1330.808 euros
Step-by-step explanation:
Let's first calculate the total amount of kilograms,
for the first 60, we have to:
50 kg
4 hg = 0.5 kg
60 dag = 0.6
5 g = 0.005 kg
adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60
51.105 * 60 = 3066.3
now for the other 20:
53 kg
2 hg = 0.2 kg
16 dag = 0.16
5 g = 0.005
adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20
53,365 * 20 = 1067.3
in total it would be: 3066.3 + 1067.3 = 4133.6
they tell us that 1/5 is the quantity in liters:
4133.6 * 1/5 = 826.72 liters
so to calculate the earnings it would be:
2.65 * 826.72 - 860 = 1330.808
which means that in net earnings are 1330.808 euross
