Answer:
D = 49/40
Step-by-step explanation:
Solve for D:
D - 3/5 = 5/8
Put each term in D - 3/5 over the common denominator 5: D - 3/5 = (5 D)/5 - 3/5:
(5 D)/5 - 3/5 = 5/8
(5 D)/5 - 3/5 = (5 D - 3)/5:
(5 D - 3)/5 = 5/8
Multiply both sides of (5 D - 3)/5 = 5/8 by 5:
(5 (5 D - 3))/5 = 5×5/8
5×5/8 = (5×5)/8:
(5 (5 D - 3))/5 = (5×5)/8
(5 (5 D - 3))/5 = 5/5×(5 D - 3) = 5 D - 3:
5 D - 3 = (5×5)/8
5×5 = 25:
5 D - 3 = 25/8
Add 3 to both sides:
5 D + (3 - 3) = 25/8 + 3
3 - 3 = 0:
5 D = 25/8 + 3
Put 25/8 + 3 over the common denominator 8. 25/8 + 3 = 25/8 + (8×3)/8:
5 D = 25/8 + (8×3)/8
8×3 = 24:
5 D = 25/8 + 24/8
25/8 + 24/8 = (25 + 24)/8:
5 D = (25 + 24)/8
25 + 24 = 49:
5 D = 49/8
Divide both sides by 5:
D = (49/5)/8
8×5 = 40:
Answer: D = 49/40
y = 30 + 40x
x = 40 + 30y
x = 40 +30y
y = 40 + 30x
Answer:
y = 40 + 30x
Step-by-step explanation:
You dont know how many houses, so you put a variable for it. You have $40 in your wallet. Thats why y = 40 + 30x is your answer.
Inverse Operation- The operation that reverses the effect of another operation.
Hope this helps.
Answer:
22 students
Step-by-step explanation:
Given,
Total number of students = 40,
∵ Number of students who play viola = of the total students
=
= 10
Also, number of students who play cello = of the total students
=
= 8
So, the remaining students = total students - students who play viola - students who play cello
= 40 - 10 - 8
= 22
Hence, 22 students play violin.