Question:
A drink dispenser in a fast-food restaurant holds 250 litres of lemonade. How many 0.6-litre drinks can be dispensed before a refill is needed?
Answer:
The number 0.6-litre drinks can be dispensed before a refill is needed is 416
Step-by-step explanation:
Given:
The capacity of the drink dispenser = 250 litres
To Find:
Number of 0.6-litre drinks can be dispensed before a refill is needed = ?
Solution
Let the number of 0.6-litre drinks can be dispensed before a refill is needed be x
Then
On substituting the values we get
x = 416. 667
Thus only 416 can be filled
Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
. The label "meter" cancels out, leaving us with
cost = $1170.82
Answer:
The hourly charge is $4 per hour for the first 3 hours.
The rate then drops to $2 per hour until the end of the 6th hour.
The hourly rate drops further to $1 per hour between the 6th and 10th hours.
The maximum price of the bike rental is $30.
Step-by-step explanation:
The slope of the graph corresponds to the hourly rate for the bike rental.
During the first three hours of the bike rental, the price increases by $4 each hour.
Between the 3rd and 6
th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.
Between the 6th and 10th hours, the rate is $1 per hour.
After the 10th hour, the price, P, stops increasing. The maximum price of the bike rental is $30.
Answer:
y (x² + 1) (x² - 5)
Step-by-step explanation:
<h3>Factorization:</h3>
Take 'y' from each term.
x⁴y - 4x²y - 5y = y[x⁴ - 4x² - 5]
Now factorize x⁴ - 4x² - 5.
Sum = -4
Product = -5
Factors = -5 , 1
When we add (-5) + 1, it gives (-4) and when we multiply (-5)*1, gives (-5).
x⁴ - 4x² - 5 = x⁴ + x² - 5x² - 5
= x²(x² + 1) -5(x² + 1)
= (x²+ 1) (x² - 5)
x⁴y - 4x²y - 5y = y (x² + 1) (x² - 5)
Answer: 24 inches.
Step-by-step explanation: since theres 12 inches in a foot, and 2 feet altogether, you would multiply 12x2.
