80 rooms with kitchen facility and 120 rooms without kitchen facility were rented.
Step-by-step explanation:
Given,
Total rooms = 200
Cost of kitchen facility rooms = $300 per night
Cost of without kitchen facility rooms = $180 per night
Total collected = $45600
Let,
x be the number of kitchen facility rooms.
y be the number of without kitchen facility rooms.
According to given statement;
x+y=200 Eqn 1
300x+180y=45600 Eqn 2
From Eqn 1
x=200-y Eqn 3
Putting value of x from Eqn 3 in Eqn 2
Dividing both sides by -120
Putting y=120 in Eqn 1
80 rooms with kitchen facility and 120 rooms without kitchen facility were rented.
Keywords: linear equations, substitution method
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Answer:
B. 106.2
Step-by-step explanation:
We have been given that at 7 am you drink a 12-ounce cup of coffee which has 140 mg of caffeine. The liver metabolizes caffeine at a rate of 12.9% per hour. We are asked to find the milligrams of caffeine left in your body after 2 hours.
We will use exponential decay formula to solve our given problem.
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = Time.
Let us convert 12.9% in decimal form.
Initial value is 140 mg.
Now we will substitute in our equation as:
Therefore, approximately 106.2 milligrams of caffeine will be in your body after 2 hours.
Answer:
(4 2/7) x (11 1/4) = 48 3/14
Step-by-step explanation:
So the equation was really 6x+8=44, not 6x+8y=44 as I am used to
solve for x first
6x+8=44
minus 8 both sides
6x=36
divide both sides by 6
x=6
sub
y=6x+4
y=6(6)+4
y=36+4
y=40
D
Answer:
Blue cars, B = 63 cars
Step-by-step explanation:
Let the blue cars be B.
Let the red cars be R.
Given the following data;
Ratio of B:R = 9:7 = 9 + 7 = 16
Red cars, R = 49
To find the number of blue cars;
First of all, we would determine the total number of cars using the expression;
R = 7/16 * x = 49
7x = 49 * 16
7x = 784
x = 112 cars
Now, we can find the number of blue cars;
B = 9/16 * 112
B = 1008/16
Blue cars, B = 63 cars