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kicyunya [14]
3 years ago
8

When a certain number is divided by 12,18,24 the reminder is always 5 find the number

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
Let the number be N

then

N=12a+5 = 2*2*3*a+5

N=18b+5=2*3*3*b+5

N=24c+5=2*2*2*3*c+5

so 

N-5=2*2*3*a

N-5=2*3*3*b

N-5=2*2*2*3*c

N-5 must be at least a multiple of 2*2*2 and 3*3. So 8*9=72 is a factor of N-5

In fact, it is the smallest. so the smallest N is 72+5=77

N-5 may have also other factors whose total multiplication is represented by the integer k:

N-5=72k

N=72k+5


Answer: The smallest number is 72
               The number, in general, is 72k+5, where k is a positive integer.
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An astronaut with a mass of 80.70 kg is standing still on the surface of the Mars (Mars has an acceleration due to gravity of 3.
mariarad [96]

Answer:

Force, F = 68.93 pounds

Step-by-step explanation:

Given that,

Mass of the astronaut, m = 80.70 kg

Acceleration due to gravity on Mars, a=3.8\ m/s^2

The force acting on him is given by using second law of motion as :

F=m\times a

F=80.70\ kg\times 3.8\ m/s^2

F = 306.66 N

Since, 1 newton = 0.224 pound

F = 306.66 N = 68.93 pounds

So, 68.93 pounds force she exerts on the martian surface. Hence, this is the required solution.

8 0
3 years ago
The product of 7/16,4/3, and 1/2 is
Lady_Fox [76]
The answer would be 7/24.
4 0
3 years ago
Read 2 more answers
What is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?
stepan [7]

Answer: 45

Step-by-step explanation:

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I hope this helps!

8 0
2 years ago
In a certain country, approximately 22 out of 100 people over the age of 12 smoke. How many smokers would you expect in a group
Elan Coil [88]

Answer:

121 smokers

Step-by-step explanation:

This can be calculated as a simple rule of 3.

In these problems, the first step is identifying the measures in the problem. Then, we must identify whether their relation is direct or inverse.

When it is direct, as one measure increases, the other will increase too.

When it is inverse, as one measure increases, the other will decrease.

In this problem, the measures are the number of people over 12 that smoke, and the total number of people over 12. Their relation is direct, because as the number of people increases, the number of smokers will increase too.

So we must solve the following rule of three:

22 smokers - 100 people

x smokers    - 550 people

x = 550*22/100

x = 22*5.5

x = 121 smokers.

So,  in a group off 550 people over the age of 12, there are 121 expected smokers.

8 0
3 years ago
There are 100 sheets of paper in the printer, and the number of sheets of paper, p, left after ,t, minutes of printing is given
zalisa [80]
P(t)=number of sheet of paper after t minutes.
p(t) will have to be equal to 0, wnen the printer use  all 100 sheets of paper;
Therefore;
if p(t)=0
Then:


-8t+100=0

We solve this equation.
-8t+100=0
8t=100
t=100/8
t=12.5

Answer: the printer prints 100 sheets of paper in 12.5 minutes.
7 0
3 years ago
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