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3 years ago

T=r/r-3 How do I make r the subject of the equation

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

r = $\frac{3t}{t - 1}$

multiply both sides of the equation by r - 3

t(r - 3 ) = r ( distribute and collect terms in r together )

tr - 3t = r

tr - r = 3t ( factor out r )

r(t - 1 ) = 3t ( divide both sides by r - 1 )

r = $\frac{3t}{t - 1}$

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3 years ago

A small cruise ship has 220 passengers. At the Port of San Juan, 2 groups of 12 passengers go ashore to shop and 5 groups of 6 p

My name is Ann [436]

Answer:

166

Step-by-step explanation:

Do the parathisis first

(2x12)=24

(5x6)=30

Then do

220-24-30=166

4 0

2 years ago

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central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?

Cloud [144]

Sector area = (central angle / 360) * PI * radius^2
sector area = (72 / 360) * PI * radius^2
radius^2 = sector area / [(72 / 360) * PI]
radius^2 = 16.2 * PI / [(1 / 5) * PI]
radius^2 = 16.2 / .2
radius^2 = 81
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Source:
http://www.1728.org/radians.htm

6 0

4 years ago

Quadratic Equation

Natasha_Volkova [10]

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

Let the age of 1st friend and 2nd friend is x, y respectively.

1 st condition= The sum of ages of two friends is 13 yrs.

i.e x+y = 13........ (I)

2nd condition= The product of their ages is 42.

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

Putting the equation (iii) in equation (ii).

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

${y}^{2} - 13y + 42 = 0$

${y}^{2} - (7 + 6)y + 42= 0$

${y}^{2} - 7y - 6y + 42 = 0$

$y(y - 7) - 6(y - 7) = 0$

$(y - 6) (y - 7) = 0$

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

Keeping the value of y as "7" in equation (ii)

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

Hope it helps...

7 0

3 years ago

What is the y-intercept for the equation 4x+2y=6?

Romashka-Z-Leto [24]

Answer:

The y intercept is 3

(0,3)

Step-by-step explanation:

4x+2y=6

To find the y intercept, set x =0 and solve for y

4(0) +2y = 6

0+2y = 6

Divide by 2

2y/2 = 6/2

y =3

The y intercept is 3

(0,3)

6 0

3 years ago