If x+y=4a+7 and x-y=2a+5, solve for x in terms of a

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

x + y = 4a + 7

x - y = 2a + 5

In both equations, make x the subject of the formula

x = 4a + 7 - y equation 1

x = 2a + 5 + y equation 2

Subtract equation 2 from equation 1

2a + 2 -2y

= 2a + 2

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There are 8,253 men and 10,327 women at a state university. If 43% of the men are in business and 27% of the women are in busine

fredd [130]

Answer:

68 students

Step-by-step explanation:

Number of men who major in business in the university= 0.43*8253=3548.79

Rounding off we have 3549 students

Number of women who major in business in the university= 0.27*10327=2788.29

Approximately 2789 students

Total students who major in Business= 3549+2789=6338 students

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Probability of getting business major= 6338/18580

Out of 200 students, we expect

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8 0

3 years ago

Drag each tile to the correct box

ValentinkaMS [17]

Answer:

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

Step-by-step explanation:

The solutions of the mathematical expression are calculated as follows;

$1. \ \ (4.3\times 10^6)(9.8\times 10^{-4}) = (4.3\times 9.8\times 10^{6-4}) = (42.14\times 10^2)= 4.214 \times 10^3$

$2. \ \ (2.9\times 10^7)(1.6\times 10^{-9}) = (2.9\times 1.6\times 10^{7-9}) = 4.64\times 10^{-2}$

$3. \ \ \frac{(4.7 \times 10^3)(8.6\times 10^{-7})}{(3.8\times 10^{-4})(6.1 \times 10^2)} = \frac{(4.7\times 8.6\times 10^{3-7})}{(3.8\times 6.1\times 10^{-4+2})} = \frac{4.042 \times 10^{-3}}{2.318\times 10^{-1}} = 1.743\times 10^{-2}$

$4. \ \ (4.9\times 10^3)(7.4\times 10^{-6}) = (4.9\times 7.4\times 10^{3-6}) = 3.626\times 10^{-2}$

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