Answer:
x=35 y=21
Step-by-step explanation:
x:y=5:3 x is in the 5 times table and y is in the 3 times table both of them added are in the 8 times table
8*<u>7</u>=56
7*5=35
7*3=21
21+35=56
2a - 5b = 1
3a + 5b = 14
Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.
2a - 5b = 1
3a + 5b = 14
+___________
5a - 0 = 15
5a = 15
a = 3
Next, plug 3 for a into either of the equations and solve for b.
2a - 5b = 1
2(3) - 5b = 1
6 - 5b = 1
- 5b = -5
b = 1
Lastly, check all work by plugging both values for their respective variables.
2a - 5b = 1
2(3) - 5(1) = 1
6 - 5 = 1 -- This is true
3a + 5b = 14
3(3) + 5(1) = 14
9 + 5 = 14 -- This is true
The solution to the system of equations is (3, 1).
Answer:
1/3
Step-by-step explanation:
Left over pie=5/8
Payton eats=1/8 of the left over pie
Joy eats =1/6 of the left over pie
Total pie eaten by Payton and joy= 1/8+1/6
To add the fraction,
Find the lowest common multiple of 6 and 8 which is 48
Then,
divide 48 by 8 multiplied by 1 which is 6,
divide 48 by 6 multiplied by 1 which is 8
We have,
=6+8/48
=14/48
=7/24
Total pie eaten by Peyton and joy=7/24
Total pie left(after Peyton and joy share)= Total left over- total pie eaten by Peyton and joy
=5/8-7/24
=15-7/24
=8/24
=1/3
9514 1404 393
Answer:
see attached
Step-by-step explanation:
This calculator problem can be handled easily by a spreadsheet, which can round to whatever number of digits you desire.
The point is probably to see if you understand that the thousandths place digit will increase by 1 if the ten-thousandths place digit is 5 or more. (That is the case only for problem 2.)
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<em>Additional comment</em>
When doing this with something that only displays 4 decimal digits, you need to be sure that the 4th digit has not been rounded up to 5. For example, ...
0.00149 rounds to 0.0015 and rounds to 0.001 (not 0.002)
Usually, you would give yourself this assurance by showing the hundred-thousandths place in the calculation if you're intending to round to thousandths.