Answer:
stars.
Step-by-step explanation:
We have been given that a particular galaxy has a total mass of 
grams and the average star in that galaxy has a mass of 
grams. We are asked to find the number of stats in the galaxy.
To find the number of stats in the given galaxy, we will divide total mass of galaxy by mass of an average star in the galaxy as:
Using exponent property 
, we will get:
Therefore, there are approximately 1000,000,000,000,000,000,000,000 stars in the given galaxy.
<span><span>let x = cows last year
</span>
</span><span><span>let y = bulls last year
</span>
</span><span><span>x + y = last years total
</span>
</span><span><span>0.9x + 1.5y = 660 (this year's total)
</span>
<span>1.1(x+y) = 660 </span>= </span><span>1.1x + 1.1y = 660
</span><span>
</span><span><span>so:
</span>
</span><span><span>0.9x + 1.5y = 1.1x + 1.1y
</span>
</span><span><span>subtract 0.9x from each side:
</span>
</span><span><span>1.5y = 0.2x + 1.1y
</span>
</span><span><span>subtract 1.1y from each side
</span>
</span><span><span>0.4y = 0.2x
</span>
</span><span><span>to make x 1 multiply both sides by 5
</span>
</span><span><span>2y = x
</span>
</span><span><span>substitute for x in one of the original problems:
</span>
since they had 660 this year and that number is 10%
higher than last year, then we had 600 total last year. </span>
<span><span>So:
</span>
</span><span><span>600 = x + y
</span>
</span><span><span>substitute into that one with the 2y = x
</span>
</span><span><span>600 = 2y + y
</span>
</span><span><span>600 = 3y
</span>
</span><span><span>200 = y
</span>
</span><span><span>then 600 - y = x
</span>
</span><span><span>so 600 - 200 = x
</span>
400 = x</span>
<span> So you had 400 cows and 200 bulls last year</span>
Answer:
x = 6
Step-by-step explanation:
Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,
PR = PQ + QR
Putting the given values of PQ ,QR & PR
=> 4x - 12 + 2x + 7 = 31
=> 6x - 5 = 31
=> 6x = 31 + 5
= 36
=> x = 36/6 = 6
The average hight will be lower
