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Elina [12.6K]
3 years ago
13

6

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

260 stickers

Step-by-step explanation:

Let Gareth's stickers be x.

Hence Cheryl sticker is 160+x;

If Cheryl gave 185 stickers

to Gareth, it means:

Cheryl has at the moment;

160 + x - 185 = x - 25

At this time when Gareth receives 185 he now has:

x+ 185

Also when he receives x +185, he has 3 times Cherry's meaning:

x+185 =3(x-25)

x + 185 = 3x -75

185 + 75 = 3x-2x

260= x

x = 260.

Hence Gareth has 260 stickers

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Answer:

One pound costs 1.26, two costs 1.47, three costs 1.68, and four costs 1.89. So we calculate how much it increases in each pound.

1.26 + 21 = 1.47

1.47 + 21 = 1.68

1.68 + 21 = 1.89

1.89 + 21 = 2.10

2.10 + 21 = 2.31

2.31 + 21 = 2.52

2.52 + 21 = 2.73

8 pounds cost: 2.73

So I pay $ 2.73 for 8 pounds.

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Determine what type of model best fits the given situation:
lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = \frac{20}{100} \times P = 0.2P

So after 1 year value is decreased by 0.2P

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Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = \frac{20}{100} \times 0.8P = (0.2)(0.8P)

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

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Similarly after 3 years, this value P(0.8)^{2} will again be decreased by 20 %

so 20% of P(0.8)^{2}  \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}

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taking P(0.8)^{2} common out we get P(0.8)^{2}(1-0.2)

P(0.8)^{2}(0.8)

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value after 1 year is P(0.8) or P(0.8)^{1}

value after 2 years is P(0.8)^{2}

value after 3 years is P(0.8)^{3}

so value after x years will be P(0.8)^{x} ( whatever is the year, that is raised to power on 0.8)

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The given equation of the formula, y = mx + b, on solving for m by isolating it gives, <u>m = (y - b)/x</u>, making <u>option C</u> the right choice.

In the question, we are given the formula y = mx + b and are asked to solve the given formula for m.

To solve the equation for m, we need to isolate m to one side of the equation, and all other variables to the other side. This can be done as follows:

The given equation is:

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Subtracting b from both sides of the equation gives us:

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Dividing both sides of the equation by x gives us:

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Learn more about isolating a variable at

brainly.com/question/1682776

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