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just olya [345]
2 years ago
14

What system shows the correct numbers to multiply by the coefficients in order to eliminate y from the first two

Mathematics
1 answer:
Ann [662]2 years ago
3 0

Answer:

3 (5x+2y = 0)

2 (2x – 3y = -19)

Step-by-step explanation:

5x+2y=0 (1)

2x-3y=-19 (2)

To eliminate y from the first two equation when applying the linear combination method

We will multiply y Equation (1) and (2) with 3 and 2 respectively so that the coefficients of y in the two equations +6 and -6 respectively

3(5x+2y=0)

2(2x-3y=-19)

We have,

15x+6y=0 (3)

4x-6y= -38 (4)

Add Equation (3) and (4)

19x=-38

x= -2

Substitute x= -2 into (1)

5x+2y=0

5(-2)+2y=0

-10+2y=0

-10= -2y

y=-10/-2

=5

y=5, x=-2

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Below.

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To find the number of students in each grade you multiply the marks by the frequency density. The number of students is given by the area under the  rectangles.

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Answer:

V = 1218.0375m^{3}

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Step-by-step explanation:

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A = π r^{2}

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152.4 = π 4x^{2}          *Divide by π*

48.510 = 4x^{2}           *Divide by 4*

12.128 = x^{2}             *Square root*

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x ≈ 3.482

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A = π r^{2}\\

Now replace x with 3.482 and solve for area.

A = 342.9m^{2\\}

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V = \frac{4}{3} π r^{3}               *Insert variables*

360.9 = \frac{4}{3} π (2x)^{3}     *Cube 2x*

360.9 = \frac{4}{3} π (8x^{3})     *Multiply \frac{3}{4} on both sides*

270.675 = π (8x^{3})    *Divide by π*

86.159 = 8x^{3}           *Divide by 8*

10.770 = x^{3}             *Cube root*

\sqrt[3]{10.770} = x            *Solve*

x ≈ 2.208

Now take the same equation but replace 2x with 3x

V = \frac{4}{3} π (3x)^{3}    

Now replace x with 2.208 and solve for volume.

V = 1218.0375m^{3}

4 0
3 years ago
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