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3 years ago

20 points!!!! Freya is collecting 50p and £1 coins. When she has 18 coins the value of them is £13.

Mathematics

1 answer:

storchak [24]3 years ago

8 0

Answer:IT IS B srry caps lol it is b bc 50/18

Step-by-step explanation:

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andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

3 0

2 years ago

Need help with these. 11th grade algebra 2 class. thanks

OlgaM077 [116]

15) x=31/10
16)x=2
17)x=16/3
18)x=-2
19)2.5 hours
20) 32 hours

3 0

3 years ago

Solve the equation by finding the square roots<br>w^2-36=-64

sammy [17]

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : w^2-36-(-64)=0 Step by step solution : Step 1 : Polynomial Roots Calculator : 1.1 Find roots (zeroes) of : F(w) = w 2 +28 so the answer could be 2.176 or 30.

8 0

4 years ago

A building contractor has a piece of crown molding that is 48 1/2 inches long. He cuts off one piece measuring 10 1/4 inches and

tekilochka [14]

The correct answer is 36 1/8

7 0

4 years ago

I’m slow help me please

Vlada [557]

10 will be your answer because 4 x 5 divided by 2 is 10

8 0

3 years ago