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2 years ago

Write 3:15 as a unite rate

Mathematics

1 answer:

hammer [34]2 years ago

3 0

0.2:1

I divided 3 by 15 and got 0.2 and then divided 15 by 15 to get one

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I started cooking at 4:55pm. I finished cooking at 6:18pm. How long did I cook?

Dafna11 [192]

Answer:

1 hour and 23 minutes

Step-by-step explanation:

4 0

3 years ago

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye

svetlana [45]

Answer:

The required recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

$Year \: 1 = 500$

Each year thereafter the number of leaves was 40% more than the year before so that means

$Year \: 2 = 500(1+0.40) = 500\times 1.4\\$

For the third year the number of leaves increase 40% than the year before so that means

$Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\$

Similarly for fourth year,

$Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\$

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

$f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330$

So there will be 10330 leaves in the 10th year.

3 0

2 years ago

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X/2-1/5=x/3+1/4 solve this equation

Alekssandra [29.7K]

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$

$\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}$

$-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}$

$-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}$

$\frac{x}{6}=\frac{9}{20}$

$\frac{6x}{6}=\frac{9\times \:6}{20}$

$x=\frac{27}{10}$

3 0

3 years ago

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Solve similar triangles (advanced)

atroni [7]

Answer:

x = 24

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ $\frac{AD}{AB}$ = $\frac{DE}{BC}$ = $\frac{AE}{AC}$

AD = x + 8 ; DE = 8

AB = x ; BC = 6

$\frac{x+8}{x}$ = $\frac{8}{6}$ ⇔ 8x = 6(x + 8) ⇒ x = 24

7 0

2 years ago

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Round to the nearest tenth 3.2649

katovenus [111]

Answer:

3.3

Step-by-step explanation:

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2 years ago