Answer:
no solutions
Step-by-step explanation:
Answer:
The numbers are 23 and 7
Step-by-step explanation:
1. Set up the equations
Let x = the greater number
and y = the smaller number. Then
(1) x - y = 16
4y = 4 times the smaller number and
4y - 5 = 5 less than 4 times the smaller number. Then
(2) x = 4y - 5
You have a system of two equations:
2. Solve the equations
The larger number is 23; the smaller number is 7.
3. Check
OK.
Answer:
10 km/h
Step-by-step explanation:
First, convert 150 minutes to hours:
150/60
= 2.5 hours
Then, to find his speed, divide the km by the number of hours:
25/2.5
= 10 km/h
First, convert the 65% to a real mathematical number. For percents, this is always done by dividing the 65% by 100%, or 65% / 100% = 0.650.
Second, find out what 65% of $60 is. This is the amount of the sale discount. This is always found by mulitplying 0.650 by the item's cost $60, like this:
0.650 x $60 = $39.00.
So for this sale, you'll save $39.00 on this item.
This means, the cost of the item to you is
<span>$60 - $39.00 = $21.00.</span>
W=mg
<span>Where: </span>
<span>Weight = mass * acceleration due to gravity </span>
<span>So let's say I want to work out my weight on the moon. I know I weigh about 70kg (which would be N), but I can't use that figure for the calculation on the moon. That is what I weigh on Earth, so let's look at the equation... </span>
<span>70kg = mass * 9.81m/s^2 </span>
<span>Where 9.81m/s^2 is the acceleration due to gravity on the surface on the earth. I want to get rid of that, so let's work out my mass by division; </span>
<span>70/9.81 = 7.14kg </span>
<span>I googled the acceleration of gravity on the Moon, which was = 1.6m/s^2 </span>
<span>Let's use that in the same equation W=mg </span>
<span>W = 7.14kg * 1.6m/s^2 = 11.42N
</span><span>On the Moon, you would weigh approximately one sixth of your weight on Earth, so if your bathroom scales tell you you weigh 120 pounds, there you would weigh 20 pounds.
</span>
<span>Moon`s gravitational pull is about one-sixth to the gravitational pull on earth hence weight on moon is about one-sixth of the weight on earth.</span>
