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Liono4ka [1.6K]
3 years ago
8

Sara, Mark and Caroline share £102 in a ratio 1:3:2. How much money does each person get?

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

Sara:17

Mark:51

Caroline:34

Step-by-step explanation:

Sara:Mark: Caroline: total

1       :   3   :     2       : 1+3+2 = 6

We want 102 for a total

102/6 =17

Multiply each term by 17

Sara:Mark: Caroline: total

1*17   : 3*17 :  2*17   :  6*17

17  :    51:    34      :102

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Answer:

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1.If a line with a slope of -3 crosses the y-axis at (0,7), what is the equation of the line?
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y = mx + b    "m" is the slope, "b" is the y-intercept (the y value when x = 0)


1. slope: -3

y-intercept: 7

y = -3x + 7

Your answer is B

y + 3x = 7   Subtract 3x on both sides

y = -3x + 7


2. y + 9(x + 3) = 0     Multiply/distribute 9 into (x + 3)

y + 9x + 27 = 0      Subtract 9x and 27 on both sides to get "y" by itself

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slope: -9

y-intercept: -27 or (0,-27)

Your answer is D


3. Point-slope form:   y - y₁ = m(x - x₁)

slope: -11

(x₁ , y₁) = (-5, 7)


y - 7 = -11(x - (-5))  The two negative signs becomes a positive

y - 7 = -11(x + 5)

Your answer is C


4. For this question, I think you get it from point-slope form to slope-intercept form (I'm not sure, but you still get the same answer if you just do slope-intercept form)

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(x₁ , y₁) = (2, -8)


y - y₁ = m(x - x₁)

y - (-8) = -4(x - 2)

y + 8 = -4(x - 2)     Multiply/distribute -4 into (x - 2)

y + 8 = -4x + 8       Subtract 8 on both sides to get "y" by itself

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Your answer is A

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