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3 years ago

Please give a step by step solution on how to solve #5. Thanks!

Mathematics

1 answer:

Zina [86]3 years ago

7 0

Rate of burn(scented):1/8inch in 1/4h
=4(1/8)inch in 1h=1/2inch in 1h

Rate of burn(unscented):1/9inch in 1/3h=3(1/9)inch in 1h=1/3inch in 1h

The scented candle burns more in one hour.

1/2inch-1/3inch=1/6inch

The scented candle burns 1/6inch more per hour

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What are the roots of: y=x^2+3x-98

Sedaia [141]

Answer:

Step-by-step explanation:

8 0

3 years ago

Convert the following into fractions in their simplest form

sladkih [1.3K]

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... = 2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

3 0

2 years ago

Simplify this equation Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

Hence the required answer is (-1) .

4 0

3 years ago

How many lots of 10 second are there in 10 minutes

Vlad [161]

Answer:

Step-by-step explanation:

We can easily solve this by finding out how many 60 seconds are in 10 minutes, and then dividing by 10.

To do that, multiply 60 seconds by 10, since there are 60 seconds in each minute.

60*10=600. There are 600 seconds in ten minutes.

Now, divide by 10.

600/10=60

There are 60 intervals of 10 seconds in 10 minutes.

Hope this helps!

7 0

2 years ago

Ok so, 67 out of 206 species of birds found in the Badlands nest there. 824 species were found in the Badlands. How many of thos

gulaghasi [49]

Answer: 268

Step-by-step explanation:

From the question, we are informed that 67 out of 206 species of birds found in the Badlands nest there and that 824 species were found in the Badlands. The number of those that nest there would be:

= 67 × 824/206

= 67 × 4

= 268

6 0

2 years ago