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Aleks04 [339]
3 years ago
9

What is the common difference, d, of the sequence? −92, −74, −56, −38, −20, ... Enter your answer in the box.

Mathematics
2 answers:
Bingel [31]3 years ago
4 0
Hello! The common distance of the sequence is 18. This is because 74 and 92 are 18 units apart, 74 and 56 are 18 units apart, 56 and 38 are 18 units apart, and so on. You can find the difference of the sequence by finding the distance between two numbers.
Katena32 [7]3 years ago
4 0
Your answer would be 18, because they are adding 18 each time

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Some students were asked what kinds of animals they have at home.
Nataly_w [17]

(a) Animals by popularity; Dogs, Cats, Others, Horses.

(b) If 250 students were interviewed, 20 students have other pets.

(c) No, it was incorrect.

Step-by-step explanation:

Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;

1. Dogs - 67%,

2. Cats - 20%

3. Others - 8%,

4. Horses - 1%.

None is not included in this list.

Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.

8% of 250 = \frac{8}{100} × 250 = 0.08 × 250 = 20.

So 20 students had other pets.

Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.

20% × x = 75, 0.2 × x = 75,

x = \frac{75}{0.2} = 375.

So if 375 students were interviewed, 75 students would have cats. So the estimate of 250 students being interviewed is incorrect.

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Step-by-step explanation:

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