The required ratio of cakes baked to hours worked = 30: 1
<u>Concept:</u>
We know that a ratio is a term in mathematics that signifies how many times one value contains the other.
<u>Given:</u> The number of cakes baked varies directly with the number of hours the caterers work.
<u>Explanation:</u>
From the given graph, it can observe that,
30 cakes are made in 1 hour. ( When we draw a vertical line from <em>x </em>= 1 to the curve, we get <em>y</em>=30 i.e. point is ( 1,30).
The required ratio of cakes baked to hours worked = 30: 1
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The real solution occurs when the graph intersects the x axis,
In the problem shown, the graph does not intersect the x axis, therefore it has no real solution, this means that the answer must have a complex conjugate pair
The answer is
function f has exactly two complex solutions
Let:
x = Pounds of walnuts in the mix.
Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.
Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10
The total cost of the mix is, therefore: 0.8x + 10 dollars.
We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.
Equating both costs:
0.8x + 10 = 1*(8 + x)
Operating:
0.8x + 10 = 8 + x
Subtracting x and 10:
0.8x - x = 8 - 10
Simplifying:
-0.2x = -2
Dividing by -0.2:
x = -2/(-0.2)
x = 10
Answer: 10 pounds
Answer:
((2a+b)/2 , a/2)
Step-by-step explanation:
The midpoint is the mean/average of both the x and y values.
Our x values are a+b and a
Our y values are a-b and b
The midpoint x value is (a+b + a ) /2 = (2a + b)/2
The midpoint y value is (a-b + b) /2 = (a)/2
The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint
Answer: Option B
Step-by-step explanation:
