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hjlf
3 years ago
12

The difference of twice a number and six is four times the number. Find an

Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0
The awnser for the question is b
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A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,
Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

Day = 86400\ seconds

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

86400/2 = 43200

43200/2=21600

21600/2=10800

10800/2=5400

5400/2= 2700

2700/2 = 1350

1350/2=675

675/3=225

225/3=75

75/3=25

25/5=5

5/5 = 1

This implies that:

86400 = 2^7 * 3^3 * 5^2

The number of factors d is the solved by:

d = (a+1)*(b+1) *(c+1)

Where

n = 2^a * 3^b * 5^c

By comparison:

a = 7

b = 3

c=2

So:

d = (7+1)*(3+1) *(2+1)

d = 8*4 *3

d = 96

<em>Hence, there are 96 total ways</em>

7 0
3 years ago
I need help with 23 please!!!
Sever21 [200]

Answer:

28 questions

Step-by-step explanation:

In the first 10 mins she answered 2/5 of 40 which is 16. The remaining amount is 24 questions and half of that is 12. So she answered 12 questions in 15 mins. Finally you add them to get 28 questions in 25 minutes.

3 0
3 years ago
Find the numerator for the equivalent fraction. 1/4 = x/20
Rama09 [41]

Answer:

The numerator is 5.

Step-by-step explanation:

You would multiply the numerator by 5 as the denominator multiplies by 5.

8 0
3 years ago
Hi, my question is in the picture below :)
galina1969 [7]
I hope this helps you

8 0
3 years ago
A gardener has a container with 6 1/5 ounces of liquid plant fertilizer on Sunday the gardener uses 2 1/2 ounces on a flower gar
sergey [27]
Amount of liquid plant fertilizer in the container that the gardener has = 6 1/5 pounds
                                                                                                               = 31/5 pounds
We already know that 1 pound = 16 ounce
Then
Amount of liquid plant fertilizer in the
container that the gardener has = (31/5) * 16 ounce
                                                    = 496/5 pounds                                                          
Amount of liquid plant fertilizer that the gardener uses on Sunday = 2 1/2 ounces
                                                                                                         = 5/2 ounces
Then
The amount of liquid plant fertilizer that are left= (496/5) - (5/2) ounces
                                                                           = (992 - 25)/10 ounces
                                                                           = 967/10 ounces
                                                                           = 96.7 ounces
So the total amount of liquid plant fertilizer left is 96.7 ounces.
4 0
3 years ago
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