some examples are 5*4*3*2*1=120
7*6*5*4*3=2520
How much does it cost to make 3 widgets?
Answer:
The total cost to make 3 widgets is $64.
Step-by-step explanation:
As cost is give by quadratic function such as
As it costs $29 to produce 2 widgets. So,
As it costs $115 to produce 4 widgets. So,
As it costs $757 to produce 10 widgets. So,
In order to find the values of a, b, c and d, we have to equations [A], [B] and [C]
Subtracting Equation [A] from [B] and [B] from [C]
12a + 2b = 86 ........[D]
84a + 6b = 642 ........[E]
Multiplying Equation [D] by 3 and subtracting from [E]
84a + 6b + 3(12a + 2b) = 642 - 86
48a = 384
a = 8
Putting value of a = 8 in equation [D]
12(8) + 2b = 86
96 + 2b = 86
2b = -10
b = -5
Substituting the value of a = 8 and b = -5 in Equation [A].
29= 4a+2b+d
29 = 4(8) + 2(-5) + d
29 = 32 - 10 + d
d = 29 + 10 - 32
d = 7
The required form of equation can be obtained by substituting a = 8, b = -5 and d = 7 in the cost equation. So,
is the required form of equation.
Therefore, the total cost to make 3 widgets will be:
Putting x = 3 in
Hence, the total cost to make 3 widgets is $64.
Keywords: quadratic equation, cost
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On Monday the baker makes 36 blueberry muffins. What is the total number of muffins that the baker makes on Monday?
Part B:
On Tuesday, the baker makes a total of 60 muffins. How many blueberry muffins does the baker make on Tuesday?
Once again please answer this question ASAP and please explain! Thanks!
The baker:
On Monday. The baker baked 36 blueberry muffins and this is 40% of the total she makes. Assuming the total is x, the expression would be:
36 = x × 40%
36 = 0.4x
x = 36 / 0.4
= 90 muffins in total
On Tuesday, she makes 60 muffins of which blueberry muffins are 40%:
= 60 × 40%
= 24 blueberry muffins
In conclusion, the Baker baked 90 muffins in total on Monday and 24 blueberry muffins on Tuesday.
Find out more at brainly.com/question/9533548.
Answer:
Part A: 90; Part B: 24.
Step-by-step explanation:
The number of blueberry muffins is 40% of the total number of muffins.
Part A: There are 36 blueberry muffins. This is 40% of the unknown number of muffins, x; this gives us
36 = 0.4x
Divide both sides by 0.4:
36/0.4 = 0.4x/0.4
90 = x
There were 90 total muffins.
Part B: 40% of the total number of muffins, 60, gives us the unknown number of blueberry muffins:
0.4(60) = x
24 = x
There were 24 blueberry muffins.