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4 years ago

Consider the system of equations:

Mathematics

2 answers:

Bumek [7]4 years ago

8 0

The answer about the 2x- 3y=7
X=y5 maybe

vodka [1.7K]4 years ago

5 0

Answer:

(x, y) = (5, 1)

Step-by-step explanation:

To eliminate x, you can double the second equation and subtract the first.

... 2(x +4y) -(2x -3y) = 2(9) -(7)

...11y = 11 . . . . . simplify

... y = 1 . . . . . . divide by 11

Using the second equation to find x, we have ...

... x + 4·1 = 9

... x = 5 . . . . . subtract 4

_____

Check

2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation

(Since we used the second equation to find x, we know it will check.)

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Each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard d

Annette [7]

a) For x = 27:

z = 27-28/2 = -0.5

For x = 31:

z = 31-38/2 = 1.5

From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%

b) For x > 30.2:

z = 30.2-28/2 = 1.1

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4 0

2 years ago

Please help! If the two triangles are similar, which equation represents the value of side x?

madam [21]

$x=\frac{p q}{m}$ equation represents the value of side x.

Solution:

The two triangles are similar.

If two triangles are similar, then the corresponding sides are in proportional.

$$\Rightarrow \frac{m}{p} =\frac{q}{x}$

Do cross multiplication.

$$\Rightarrow mx=pq$

Divide by m on both sides.

$$\Rightarrow \frac{mx}{m} =\frac{pq}{m}$

$$\Rightarrow x =\frac{pq}{m}$

Therefore, $x=\frac{p q}{m}$ equation represents the value of side x.

5 0

3 years ago

Evaluate: 4! Make sure to show your steps.

sergeinik [125]

Answer:

4! = 4 x 3 x 2 x 1

4! = 12 x 2 x 1

4! = 24 x 1

4! = 24

Let me know if this helps!

7 0

3 years ago

Read 2 more answers

Which function below translate f(x)=x^2 left 5 units and down 1 unit?

Verdich [7]

Your answer will b D

7 0

3 years ago

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A pyramid with a square base that is 10 cm on a side has a height of 12 cm. The volume of the pyramid is cm3.a0

PolarNik [594]

The volume of a pyramid is computed by multiplying the base length, base width, and pyramid height and divide it by 3.
Volume = (base length x base width x height)/3
since this is a square, base length and width are equal.
w=l=10cm
h=12cm
Substituting the given values in the formula, we will get the volume of the pyramid
Volume=(10cmx10cmx12cm)/3
Volume= 400cm^3

8 0

3 years ago