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2 years ago

Solve each prportion. (2/y-4)=(y+3/4)

Mathematics

1 answer:

vampirchik [111]2 years ago

4 0

Answer:

y = 5, -4

Step-by-step explanation:

To solve proportions you cross-multiply.

$\frac{2}{y-4} =\frac{y+3}{4} \rightarrow 2\times4 = (y-4)\times(y+3) \rightarrow 8=y^2-y-12$

Now that we have 8 = y^2 - y - 12, we must make the entire trinomial equal to 0 by subtracting 8 from both sides.

y^2 - y - 20 = 0

Factor the trinomial.

(y - 5)(y + 4) = 0

Make both factors equal to 0 to solve for both values of y.

y - 5 = 0 --> y = 5
y + 4 = 0 --> y = -4

y = 5, -4

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Find three consecutive integers such that the largest is 3 less than twice the smallest

Nostrana [21]

Answer:

The three consecutive integers are 5,6,7

Step-by-step explanation:

Let the three consecutive integers be represented as x,x+1,x+2

As per the requirement, largest integer is 3 less than twice the smallest.

=> x+ 2 = 2x -3

=> 2x -x = 2+3

=> x= 5

So the three integers are 5,6,7

Verification:

Largest integer = 7

Smallest integer = 5

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3 years ago

48 students are girls they make up 60% of the class how many students total

qwelly [4]

For this you would do
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2 years ago

The radius of a cylindrical vessel is 7 cm and height is 1400 m . Find the cost of painting its inner curved surface area at the

Olegator [25]

Answer:

Cost = 616000 DHS per square centimetre.

Step-by-step explanation:

curved surface of a cylinder = 2 $\pi$ rh

r = 7 cm

h = 1400 m = 140000 cm

The outer curved surface area of the cylinder = inner curved surface area of the cylinder

The inner curved surface of the cylinder = 2 $\pi$ rh

= 2 x $\frac{22}{7}$ x 7 x 140000

= 2 x 22 x 1 x 140000

= 6160000

The inner curved surface of the cylinder is 6160000 square centimetre.

But, the cost of painting is at the rate of 10 DHS per square centimetre.

The inner curved surface of the cylinder = 6.16 x $10^{6}$ square centimetre.

cost of painting the inner curved surface area = $\frac{6.16*10^{6} }{10}$

= 616000 DHS per square centimetre

The cost of painting the inner surface is 616000 DHS per square centimetre.

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2 years ago