After 8.00 min, 75.0/2 = 37.5 g of the sample remains.
After another 8.00 min (total 16.0 min), 37.5/2 = 18.75 g remains. (Equivalently, 75.0/2^2 g)
After another 8.00 min (total 24.0 min), 18.75/2 = 9.375 g remains. (Or 75.0/2^3 g)
Finally, after another 8.00 min (total 32.0 min), 9.375/2 = 4.6875 g remains (or 75.0/2^4 g), approximately 4.69 g.
The absolute value of 10 is 10. The absolute value of 6 is six.
Substitue y=3x+2 to the y in y=x+10.
3x+2= x+10
Subtract 2 to both sides.
3x=x+8
Subtract x to both sides.
2x=8
Divide both sides by 2
2x/2 = 8/2
You are left with x = 4
Choose one equation and replace x by 4.
y = (4) + 10
y= 14
Now, you have x = 4 and y= 14. So, your ordered pair is (4,14) because both lines pass through that point.
If you do not want to do this solution, I suggest you graph it using the slope.
Answer:
Step-by-step explanation:
Given
![(x + 7) * (\ ) = [\ ]](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%2A%20%28%5C%20%29%20%3D%20%5B%5C%20%5D)
Required
Complete the blanks
We have:
Rewrite as:
Cross multiply
Answer: Correct two digit number= 24
Step-by-step explanation:
Let
x= tens digit (wrong one)
and y= zeroes digit
and z= tens digit (right one)
Now according to the statement,
(10x+y)² - (10z+y)² = 2340
Simplifying this we get
(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13
So it could either be
x-z=1 or x-z=3
If we take the x-z=1
then 5x+y+5z=117
which is not possible as maximum value we can get from this is 99.
This leaves us with x-z=3
so 5x+y+5z= 39
Put x=3+z
We get,
y+10z= 24
Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.
Put z=2 in x=3+z , we get x=5
So the numbers become 10x+y= 54
and 10z+y= 24
Their sum is 54+24=78
Check
54²-24²= 2340 so it is correct.
