Step-by-step explanation:
find a common denominator of 12 for each fraction
multiply both sides by 12
12s cancel out
add three to both sides
divide both sides by 10
The tens on the left side cancel
Answer:
(9,9)
Step-by-step explanation:
Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).
To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.
This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.
The x values are 4 and 14. The midpoint is
14-4=10
10/2=5 (the midpoint is 5 away from each reference point)
4+5=9
The midpoint is 9 for the x values. This means the x-value for the point is 9.
Repeat for y-values:
10-8=2
2/2=1
8+1=9
The midpoint is 9, therefore it has the y coordinate of 9.
Therefore the coordinates for the point are (9,9).
Hope this helped!
Watch closely. I'll try to go slow:
You said <u>v² = 2 g t</u>
Divide each side by 2g : <em>v² / 2g = t</em>
Did you follow that ?
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90
