80 x 3 = 240
240 / 5 = 48
There are 48 pieces of candy in one bag.
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Answer:
-5y
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given: f(x) = 4(3x - 5)
Is required to find f⁻¹(x)
f(x) = y = 4(3x - 5)
∴ y = 4 * 3x - 4 * 5
∴ y = 12x - 20 ⇒ add 20 to both sides
∴ y + 20 = 12x ⇒ divide both sides by 12
∴ 
Replace the places of x and y.
∴ 
∴ 
Answer:
a) C(d) = 37.95 + 0.62d
b) C(74) = 37.95 + 0.62(74)
83.8 dollars
c) 8181 miles
Step-by-step explanation:
The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.
So if one person travels one mile they will pay:
37.95 + 0.62
Two miles: 37.95 + 0.62 (2)
Three miles: 37.95 + 0.62 (3)
d miles: 37.95 + 0.62(d)
Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d
Now, if we drive 74 miles, the function that gives us the cost would be:
C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars
Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

Thus, we could drive 8181 miles
Answer:Number of small boxes shipped = 8
Number of large boxes shipped = 13
Step-by-step explanation:
Step-by-step explanation:
Let x be the number of small boxes and let y be the number of large boxes
According to the first statement, a total of 21 boxes were shipped
Equation 1 will be:
x+y=21
According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
Equation 2 will be:
25x+70y=1110
Use the substitution method for solving the equation
Putting the value of x in equation 2
25(21-y) +70y =1110
525-25y+70y = 1110
45y = 585
Y=13
Putting the value of y in equation 1
x+13 = 21
X = 8
Number of small boxes shipped = 8
Number of large boxes shipped = 13