<span>With the bag having 4/5 lb currently in it, this can be translated to 16/20 lb. Maria wants to scoop out sand until the bag has 1/2 lb, which is 10/20 lb. The scoop that Maria uses is 1/20 lb, so using the equation of 16-10 = 6, Maria can get 6 scoops of sand before the bag contains 1/2 lb.</span>
Answer:
28
Step-by-step explanation:
We have the following function:

where a=-3, b=168 and c=-1920
In order to calculate the maxium profit for the company, and how many cakes should be prepared in order to reach it, we have to calculate where the parabola's vertex is ubicated. To do so, we use the following formula:




So 28 cakes should be prepared per day in order to maximize profit.
Answer:
1/4h
Step-by-step explanation:
If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.
Hence, the time for the bus trip
= (1/2 + x)h
since the bus trip is 3/4h, it means that
1/2 + x = 3/4
collecting like terms,
x = 3/4 - 1/2
= 3/4 - 2/4
= 1/4
Hence the car trip is 1/4h.
Answer:
A. 1 in. = 22.5 mi
Step-by-step explanation:
Since 22.5 x 10 = 225, we can conclude that this will fit the scale needed. B. is incorrect because it is simply illogical in context with a scale and the question. C. is incorrect since 10 x 0.04 is 0.4, which does not equal 10. D. is incorrect since we need the scale to add up to equal 225 mi, not 22.5.
Hope this helps!
The independent quantity is the average class size and the dependent quantity is the cost ⇒ c
Step-by-step explanation:
Lets revise the meaning of dependent and independent variables
- The dependent variable is the one that depends on the value of some other number
- The dependent variable is the output value and the independent variable is the input value
- Ex: if y = 2x + 3, x is the input and y is the out put, then is independent variable and y is dependent variable
∵ The cost of the textbook increases with the average class size
- The cost of the textbooks depends on the average of the
class size
∴ The input is the average class size
∴ The output is the cost of the textbooks
∵ The input variable is independent variable
∵ The output variable is dependent variable
∴ The average of the class size is independent
∴ The cost of the textbooks is dependent
The independent quantity is the average class size and the dependent quantity is the cost
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You can learn more about the word problems in brainly.com/question/13174281
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