Answer: The quotient is 71.
Explanation:
We have to find the quotient when 428 is divided by 6.
We can write 428 as the sum of 420 and 8 because 420 is compatible number because 42 can easily divided by 6.



Now 8 can be written as the sum of 6 and 2.




Therefore, the quotient is 71 and the remainder is
.
Answer:
<u>13 Quarters and 18 Dimes</u>
Step-by-step explanation:
Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). Give x and y a break, and make it easier to remember which is which.
D + Q = 31
D = Q + 5
Therefore:
D + Q = 31
(Q+5) + Q = 31
2Q + 5 = 31
2Q = 26
<u>Q = 13</u>
<u>Then D = (13+5) or 18</u>
================
Check:
D + Q = 31 ?
18 + 13 = 31 <u>YES</u>
----------------------
D = Q + 5 ?
18 = 13 + 5 <u>YES</u>
Answer:
x=6
Step-by-step explanation:
First, add 1 on both sides
4x + 5 = 5x -1
+1 +1
4x+6 =5x
Then, subtract 4x on both sides
4x+6 =5x
-4x -4x
6=x
So, x equals 6
Hope this helps! :)
To solve this, simply substiture 8 in for x, and solve for y.
11(8) -6y = -1
Multiply 11 by 8
88 - 6y = -1
Subtract 88 from each side of the equation.
-6y = -89
Lastly divide each side of the equation by -6
y = 89/6 is your answer.
Hope this helps!