Brian and Colin win some money and share it in the ratio 5:1. Brian gets £60 more than Colin. How much did they get altogether?

Mathematics

1 answer:

olga2289 [7]3 years ago

6 0

Brian gets 5x and Colin gets x amount.

Brian gets 60 more than Colin, so you get:

5x - x = 60

Simplify to get:

4x = 60

Divide both sides by 4:

x = 15

Brian gets 5x = 5(15) = 75

Colin gets x = 15

75 + 15 = 90

The total amount they get is £90

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What is the value of n in the relationship 8n+9=-n+5

vitfil [10]

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Subtract 8n from both sides.

$4 = -9n$

Divide both sides by -9 to solve for n.

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3 years ago

Which equation represents the line that is perpendicular to graph of 4x+3y=9 and passes through (-2,3)

goldfiish [28.3K]

4y = 3x + 18

Step-by-step explanation:

NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1

Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9

3y = -4x + 9

y = -4/3 x + 9/3

y = -4/3 x + 3

The slope of the perpendicular line is, therefore;

¾ - this is the negative inverse of -4/3

Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;

i.e (0, y)

The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;

Gradient = Δ y / Δ x

¾ = (3 – y) / (-2 – 0)

¾ = (3 –y) / -2