Answer:
x = -4
Step-by-step explanation:
Solve for x:
(5 x)/4 = x/2 - 3
Put each term in x/2 - 3 over the common denominator 2: x/2 - 3 = x/2 - 6/2:
(5 x)/4 = x/2 - 6/2
x/2 - 6/2 = (x - 6)/2:
(5 x)/4 = (x - 6)/2
Multiply both sides by 4:
(4×5 x)/4 = (4 (x - 6))/2
(4×5 x)/4 = 4/4×5 x = 5 x:
5 x = (4 (x - 6))/2
4/2 = (2×2)/2 = 2:
5 x = 2 (x - 6)
Expand out terms of the right hand side:
5 x = 2 x - 12
Subtract 2 x from both sides:
5 x - 2 x = (2 x - 2 x) - 12
5 x - 2 x = 3 x:
3 x = (2 x - 2 x) - 12
2 x - 2 x = 0:
3 x = -12
Divide both sides of 3 x = -12 by 3:
(3 x)/3 = (-12)/3
3/3 = 1:
x = (-12)/3
The gcd of -12 and 3 is 3, so (-12)/3 = (3 (-4))/(3×1) = 3/3×-4 = -4:
Answer: x = -4
Let
x = number of tickets
y = cost
For each row, divide the cost over the number of tickets
Row one: y/x = 3/2 = 1.5
Row two: y/x = 6/4 = 1.5
Row three: y/x = 9/6 = 1.5
Row four: y/x = 12/8 = 1.5
Row five: y/x = 15/10 = 1.5
The constant of proportionality is 1.5
This means each ticket costs $1.50
60/30 as a mixed # is 2/1 or 2
Answer:
The store mixes 8 pounds of peanuts and 9 pounds of raisins.
Step-by-step explanation:
Let the store mixes 'x' pounds of peanuts and 'y' pounds of raisins.
The cost of peanut per pound is $3.20 and cost of raisins per pound $2.10
According to question,
Total weight of mixture given is 17 pounds.
................(1)
also total cost of mixture given is $44.50
...........(2)
Solving for equation (1) and (2),
Multiply equation (1) by 3.20 , we get
(1)⇒ ............(3)
Now, subtract equation (3) from equation (2) , we get
Thus, The store mixes 9 pounds of raisins.
Put, y = 9 in (1),
Thus, The store mixes 8 pounds of peanuts.
Answer: $543.7325
Step-by-step explanation:
room rate = $99.95 / night
Tax fee = 7% of room rate
Therefore, tax fee = 7% of $99.95
Tax fee = 0.07 × $99.95
Room charge =[$99.95 + 0.07($99.95)]
Room charge = 1.07($99.95) per night
Additional onetime untaxed fee = $9
Therefore for 5 nights :
Room charge = 5×[1.07($99.95)] +
Total room charge = 5×[1.07($99.95)] + one time untaxed fee
Total room charge = 5×[1.07($99.95)] + $9
= $543.7325