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3 years ago

8

3/9 and 5/15 are they equivalent

1 answer:

Alex_Xolod [135]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

3/9 Divide the top and bottom by 3

1/3

5/15 Divide the top and bottom by 5

1/3

They are equal

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I need help.. i really want to go sleep.. thank you so much...

Effectus [21]

Answer:

1) True 2) False

Step-by-step explanation:

1) Given $\sum\limits_{k=0}^8\frac{1}{k+3}=\sum\limits_{i=3}^{11}\frac{1}{i}$

To verify that the above equality is true or false:

Now find $\sum\limits_{k=0}^8\frac{1}{k+3}$

Expanding the summation we get

$\sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{0+3}+\frac{1}{1+3}+\frac{1}{2+3}+\frac{1}{3+3}+\frac{1}{4+3}+\frac{1}{5+3}+\frac{1}{6+3}+\frac{1}{7+3}+\frac{1}{8+3}$ $\sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}$

Now find $\sum\limits_{i=3}^{11}\frac{1}{i}$

Expanding the summation we get

$\sum\limits_{i=3}^{11}\frac{1}{i}=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}$

Comparing the two series we get,

$\sum\limits_{k=0}^8\frac{1}{k+3}=\sum\limits_{i=3}^{11}\frac{1}{i}$ so the given equality is true.

2) Given $\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\sum\limits_{i=1}^3\frac{3i}{i+5}$

Verify the above equality is true or false

Now find $\sum\limits_{k=0}^4\frac{3k+3}{k+6}$

Expanding the summation we get

$\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\frac{3(0)+3}{0+6}+\frac{3(1)+3}{1+6}+\frac{3(2)+3}{2+6}+\frac{3(3)+4}{3+6}+\frac{3(4)+3}{4+6}$

$\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\frac{3}{6}+\frac{6}{7}+\frac{9}{8}+\frac{12}{8}+\frac{15}{10}$

now find $\sum\limits_{i=1}^3\frac{3i}{i+5}$

Expanding the summation we get

$\sum\limits_{i=1}^3\frac{3i}{i+5}=\frac{3(0)}{0+5}+\frac{3(1)}{1+5}+\frac{3(2)}{2+5}+\frac{3(3)}{3+5}$

$\sum\limits_{i=1}^3\frac{3i}{i+5}=\frac{3}{6}+\frac{6}{7}+\frac{9}{8}$

Comparing the series we get that the given equality is false.

ie, $\sum\limits_{k=0}^4\frac{3k+3}{k+6}\neq\sum\limits_{i=1}^3\frac{3i}{i+5}$

6 0

3 years ago

A hot air balloon starts at a height of 6 feet above the ground and then rises at a rate of 20 feet each minute. Which equation

Leni [432]

Answer:

The height h it will travel in t minutes

Height h = 6 + 20(t)

Oh=20t + 6

Step-by-step explanation:

A hot air balloon starts at a height of 6 feet above the ground and then rises at a rate of 20 feet each minute.

Initial height h0 = 6 feet

Then it travel 29 feet each minute

Rate = 20 feet/ minute

The height h it will travel in t minutes

Height h = 6 + 20(t)

6 0

3 years ago

Read the top and answer 100 points

77julia77 [94]

Answer:

1)30.1029995664

2)69.2980392812

3)168.080670083

4)(3x/3=13/3

x=4.33333333333

5)5x-(5000)=0

5x=5000

x=5000/5

x=1000

6)(2)3(x+2)=(6000)=0

23x+46-6000=0

23x-5954=0

23x=5954

x=5954/23

x=258+20/23

Hope this help you!

7 0

3 years ago

Read 2 more answers

A rabbit can run short distances at a rate of 35 miles per hour. A fox can run short distances at a rate of 21 miles per half ho

cricket20 [7]

Answer:

the fox is faster by 0.12.

Step-by-step explanation:

7 0

3 years ago

Which of the following describes theoretical probability?

kondor19780726 [428]

Hi for the answer is there any backstory or answer key at least?

6 0

3 years ago