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Mars2501 [29]
3 years ago
7

What is the common difference of the sequence -31, -23, -15?

Mathematics
1 answer:
zysi [14]3 years ago
5 0
The common difference is essentially what u need to add to one number in the sequence to get the next


So previous number + common difference = next number after that

The common difference would be -8
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a fox a coyote and a wolf weigh a total of 120 pounds the ratio of the weight of fox to the weight of coyote is 3:8 the weight o
ira [324]
There is not enough information to calculate this. 

<span>Knowing the weight ratio of the fox to coyote as 3:8 in no way allows you to know the respective ratio of the wolf. To know the weight of the wolf would require knowing its ratio value, then the weights of all 3 is an easy calculation. </span>
<span>Example - 3:8:15 (f:c:w) is a plausible ratio based upon real-world weight averages for certain species/subspecies of the three. </span>
<span>- knowing the values of the 3 terms as 3:8:15 gives a total of 3+8+15 = 26 ratio values </span>
<span>- you then simply divide the total weight by this ratio value total; 120/26 = 4.62 </span>
<span>- so each ratio value is 4.62 units of weight*** </span>
<span>- now, simply calculate the weight of each canid by multiplying its ratio value by the unit of weight... </span>
<span>fox; 3 x 4.62 = 13.86 </span>
<span>coyote; 8 x 4.62 = 36.96 </span>
<span>wolf; 15 x 4.62 = 69.3 </span>
<span>Validate the ratios by adding the weights together (we should get 120) 13.86 + 36.96 + 69.3 = 120.12 </span>
<span>The total is slightly out because that 4.62 figure was a rounding up. </span>

<span>Now, the thing is, there is nothing given that allows us to know exactly what ratio value the wolf should be, I chose 15 myself because that is a real-world plausible value when compared to 3:8 for the other 2. Changing it to 16, say, means that there are now 27 ratio values total giving a ratio value of 120/27 = 4.44 obviously changing the weights of all 3.</span>
5 0
3 years ago
A moterboat that ravels with a speen of 20km/hour in still water has traveld 20 km against the current and 180km with the curren
Ira Lisetskai [31]

Answer:

10 kph

Step-by-step explanation:

Find the speed of the current of the river.

20/(20 - c) + 180/(20 + c) = 8

20(20 + c) + 180(20 - c) = 8(400 - c^2)

8c^2 - 160c  + 800 = 0

8(c^2 - 20c + 100) = 0

8(c - 10)^2 = 0

c = 10

The speed of the current of the river is 10 km/hour.

5 0
2 years ago
Read 2 more answers
Plz help me with the attachment below
Bingel [31]

Answer:

57

Step-by-step explanation:

( 27 + 19 + 41 + 51 + 29 + 35 + k ) / 7 = 37

202 + k = 37 x 7

202 + k = 259

k = 259 - 202

k = 57

7 0
2 years ago
Read 2 more answers
Evaluate 8 - 4.7y - x, when y = -1 and x = 2.<br> A. -10.7<br> B. -9.7<br> C. 9.7<br> D. 10.7
seraphim [82]
It’s D, 10.7

8 - (4.7 x (-1)) - 2 = 10.7
5 0
3 years ago
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profi
Aliun [14]
I believe the answer is 267

If each is worth $25 and it costs $10 then he is making $15 profit.

4000/15 is 266.6666667

So you would need 267
8 0
3 years ago
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