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alina1380 [7]
2 years ago
10

Which ordered pair is the best estimate for the solution of the system of equations? y=32x+6y=14x−2

Mathematics
1 answer:
Oduvanchick [21]2 years ago
4 0

Answer:

y=14 x=5

Step-by-step explanation:

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In a small town, the use of coal (W in tons/per
zimovet [89]

Answer:

i)W = 2500 / T

ii)  W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i)  Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if  W is use of coal in tons/per month then

W(t)  =   k / T              where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k  =  ??   we know that when   T  =  25°    W = 100 tons  the by subtitution

W = k/T           100  =  k /25       k  =  2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W  = DW(t)/dt î  

grad W  = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) =  - 2500/ 100 î      ⇒  grad W(10°) = - 25î

iv) When T =  0  The quantity of coal tends to infinite and the previous formulation is not practical

5 0
3 years ago
In 1999, there were 9860 Great Danes registered with the American Kennel Club. The number of
dybincka [34]

Answer:

154,897

Step-by-step explanation:

Labradors were

6997 MORE than 15 TIME Danes

So, first, what is 15 times Danes??

Given 9860 Danes, fifteen times Danes would be:

9860 * 15 = 147,900

Now, 6997 MORE to that, it would be:

147,900 + 6997 = 154,897

Thus,

There were 154,897 registered Labrador Retrievers

8 0
3 years ago
Convert 84 degrees fahrenheit to celsius. round answer to nearest tenth<br><br> please help!!!
vladimir1956 [14]

Answer:

28.9°c

Step-by-step explanation:

5 0
3 years ago
What is the answer to 6(1+8n)=-39+3n
MissTica

For this case we must simplify the following expression:

6 (1 + 8n) = - 39 + 3n

We apply distributive property on the left side of the equation:

6 * 1 + 6 * 8n = -39 + 3n\\6 + 48n = -39 + 3n

We subtract 3n from both sides of the equation:

6 + 48n-3n = -39\\6 + 45n = -39

We subtract 6 from both sides of the equation:

45n = -39-6\\45n = -45

We divide between 45 on both sides of the equation:

n = \frac {-45} {45}\\n = -1

Answer:

n = -1

5 0
3 years ago
What does n/5 - 3n/10 =1/5
dsp73
I assume you're looking for n.
so, take 2n/10-3n/10=2/10. Making everything have the same denominator is always easier.

This way, you have -n/10=2/10.

n=-2.
8 0
3 years ago
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