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zepelin [54]
3 years ago
7

Match the sequence (term) with the correct type of sequence (definition).

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

1. 5, 10, 15, 20, = C. Arithmetic, common difference is 5

2. 128, 32, 8, 2, = Geometric , Common ratio is 0.25

3. 20, 17, 14, 11, = Arithmetic , Common difference is -3

4. 1, 3, 9, 27, = Geometric , common ratio is 3

Step-by-step explanation:

In arithmetic sequence we calculate the common difference and it is gotten by:

T_2-T_1  \: or \\  T_4-T_3

In geometric progression we calculate common ratio and it is gotten by :

\frac{T_2}{T_1}  \: or \:  \\  \frac{T_4}{T_3}

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3 years ago
How many liters of a 10% alcohol solution must be mixed with 90 liters of a 60% solution to get a 30% solution?
Setler [38]
Since 10% = 0.10 by moving the decimal two spots to the left, we can say that 0.10L is the amount of alcohol with 10% concentration in L liters. Similarly, 0.60L is 60% for L liters and 0.30L is the amount of liters with 30%. If the amount of 10% alcohol solution in liters is x and the 60% in y, we get 0.10x+0.60y=0.30L due to that the liters add up to get a 30% amount of alcohol (this equation represents the amount of alcohol). Next, x+y=L. Since we know that we have 90 liters of 0.60, y=90 and we have 
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x+90=L. Plugging x+90 for L, we get 0.10x+54=0.3(x+90)=0.3x+27. Subtracting 27 and 0.1x from both sides, we get 0.2x=27. Next, we can multiply both sides by 5 (since 1/0.2=5) to get x=135 liters
4 0
4 years ago
If,
lora16 [44]

Answer

What is the question?

Explanation

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6 0
3 years ago
Please help quickly, Thanks!
Luda [366]

Answer:

A - 5/6

Step-by-step explanation:

-5/7 ÷ 6/7

Copy dot flip

-5/7 * 7/6

Rearrange to make the math easier

-5/6 * 7/7

-5/6

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4 years ago
Please help me figure this out
alexandr402 [8]
Yes the answer you have selected is correct
3 0
4 years ago
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