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Naya [18.7K]
3 years ago
10

30t+20c=<300 5t+10c=<110. Solve for t and c

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0
30t + 20c =< 300
5t + 10c =< 110
10c =< 110-5t
30t + 220-10t =< 300
20t =< 80
t = 4
120c + 20c =< 300
20c = 180
c = 9
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The solution to the system of equations y=\frac{2}{5}x-3\,\,and\,\,x=-10 is (-10,-7)

Option 1 is correct.

Step-by-step explanation:

We need to find the solution to the system of equations below.

y=\frac{2}{5}x-3\,\,and\,\,x=-10

The value of x i s x=-10

Putting value of x in first equation we can find value of y

y=\frac{2}{5}x-3\\y=\frac{2}{5}*-10-3\\y=2*-2-3\\y=-4-3\\y=-7

So, value of y is y=-7

The solution to the system of equations y=\frac{2}{5}x-3\,\,and\,\,x=-10 is (-10,-7)

Option 1 is correct.

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Systematic random sampling has become a popular method of drawing samples in research practices because _____.
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Answer:

a. The new number created is 265,134.

b. The new number created is 625,314.

c. The new number created is 652,314.

d. The new number created is 462,513.

e. The new number created is 253,416.

Step-by-step explanation:

Note: The first question is not correctly and fully stated. It is therefore restated as the questions are answered as follows:

a. Move the 2 so it is worth 10 as much.

From 625,134, the 2 implies 20,000.

If we move the 2 so it is worth 10 as much, it implies that 20,000 is multiplied by 10 and the answer is as follows:

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The answer implies that 2 becomes the first number and the new number created from 625,134 is as follows:

The new number created is 265,134.

b. Move the 3 so it is worth 10 times as much.

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If we move the 3 so it is worth 10 as much, it implies that 30 is multiplied by 10 and the answer is as follows:

30 * 10 = 300

The answer implies that 3 becomes the fourth number and the new number created from 625,134 is as follows:

The new number created is 625,314.

c. Move the 5 so it is worth 50,000.

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The new number created is 652,314.

d. Move the 4 so its value changes to 4 X 100,000

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The new number created is 462,513.

e. Move the 1 and the 6 so that the sum of their values is 16.

This implies the one becoms 10 and the 6 becomes just 6.

As a result, this implies that the 1 now becomes the fifth number and the 6 now become the last number. The new number created from 625,134 is now as follows:

The new number created is 253,416.

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