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2 years ago

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Yoku is putting on sunscreen. He uses 2\text{ ml}2 ml2, start text, space, m, l, end text to cover 50\text{ cm}^250 cm 2 50, sta

rt text, space, c, m, end text, squared of his skin. He wants to know how many milliliters of sunscreen (c)(c)left parenthesis, c, right parenthesis he needs to cover 325\text{ cm}^2325 cm 2 325, start text, space, c, m, end text, squared of his skin. How many milliliters of sunscreen does Yoku need to cover 325 \text{ cm}^2325 cm 2 325, start text, space, c, m, end text, squared of his skin?

2 answers:

gregori [183]2 years ago

8 0

Answer:

13 is the answer!!!

Step-by-step explanation:

Kaylis [27]2 years ago

7 0

Answer:

13 Millilitres.

Step-by-step explanation:

Yoku uses 2ml to cover $50cm^2$ of his skin.

He wants to know how many millilitres of sunscreen he will need to cover $325cm^2$ of his body.

If Yoku covers $50cm^2$ of his skin will 2ml

He will cover $1cm^2$ of his skin with $\frac{2}{50}ml$ of sunscreen.

Therefore:

To cover $325cm^2$ of his body, he will use:

$\frac{2}{50} X 325 ml\\=13ml$

he would require 13 Millilitres.

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Calculate the equation of the line if two points are (1,6) and (5,0) Hint, you will have to find the slope of the line and then

motikmotik

Answer:

The equation is $y=\frac{-3}{2} x-9$

Step-by-step explanation:

First, you will have to find the slope of the two points.To do that, you will have to use the formula : $m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Our points are $(1,6)$ and $(5,0)$

We will have to substitute the points into the formula.

$m=\frac{0-6}{5-1}$

Then, we will simplify

$m= \frac{-6}{4}$

We could simplify that fraction into $\frac{-3}{2}$

So, our slope is $\frac{-3}{2}$

We will have to pick a coordinate point, and choose. I chose $(1,6)$

We will substitute the x-value and the y-value of the coordinate point, including our slope, to calculate the y-intercept.

The formula we will be using is $y=mx+b$

We will substitute in our values which will make it look like:

$6=\frac{-3}{2} (1)+b$

We will then multiply $\frac{-3}{2}$ by $1$ which will stay the same.

Then, we will multiply $\frac{-3}{2}$ by $6$ which will equal $-9$

$-9=b$

Hence, the equation for our line is $y=\frac{-3}{2} x-9$

Hope it helped:D

<u><em>-Jazz</em></u>

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2 years ago

Show that the Fibonacci numbers satisfy the recurrence relation fn = 5fn−4 + 3fn−5 for n = 5, 6, 7, . . . , together with the in

Sonja [21]

Answer with step-by-step explanation:

We are given that the recurrence relation

$f_n=5f_{n-4}+3f_{n-5}$

for n=5,6,7,..

Initial condition

$f_0=0,f_1=1,f_2=1,f_3=2,f_4=3$

We have to show that Fibonacci numbers satisfies the recurrence relation.

The recurrence relation of Fibonacci numbers

$f_n=f_{n-1}+f_{n-2}$ , $f_0=0,f_1=1$

Apply this

$f_n=(f_{n-2}+f_{n-3})+f_{n-2}=2f_{n-2}+f_{n-3}$

$f_n=2(f_{n-3}+f_{n-4})+f_{n-3}=3f_{n-3}+2f_{n-4}$

$f_n=3(f_{n-4}+f_{n-5})+2f_{n-4}=5f_{n-4}+3f_{n-5}$

Substitute n=2

$f_2=f_1+f_0=1+0=1$

$f_3=f_2+f_1=1+1=2$

$f_4=f_3+f_2=2+1=3$

Hence, the Fibonacci numbers satisfied the given recurrence relation .

Now, we have to show that $f_{5n}$ is divisible by 5 for n=1,2,3,..

Now replace n by 5n

$f_{5n}=5f_{5n-4}+3f_{5n-5}$

Apply induction

Substitute n=1

$f_5=5f_1+3f_0=5+0=5$

It is true for n=1

Suppose it is true for n=k

$f_{5k}=5f_{5k-4}+3f_{5k-5}$ is divisible 5

Let $f_{5k}=5q$

Now, we shall prove that for n=k+1 is true

$f_{5k+5}=5f_{5k+5-4}+3f_{5k+5-5}=5f_{5k+1}+3f_{5k}=5f_{5k+1}+3(5q)$

$f_{5k+5}=5(f_{5k+1}+3q)$

It is multiple of 5 .Therefore, it is divisible by 5.

It is true for n=k+1

Hence, the $f_{5n}$ is divisible by 5 for n=1,2,3,..

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Lindsey bought a picnic basket originally priced at $40 but on sale for 50% off. After 10% sales tax, what was the total cost?

MaRussiya [10]

Answer:

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Step-by-step explanation:

Given data

Origianal price= $40

discount= 50%

Tax= 10%

Let us find the amount of the discount and tax

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=0.5*40

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Hence the total cost is

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2 years ago

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To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7 = 3m + c . . . (1)
9 = 8m + c . . . (2)

(1) - (2) ⇒ -2 = -5m
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Substituting for m into equation (1) gives:

$7=3(0.4)+c \\ \\ \Rightarrow c=7-1.2=5.8$

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vivado [14]

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