Answer is -10
Step by step exploration
7x=-70
x=-70/7
x=-10
Answer:
A and B
Step-by-step explanation:
4(d-2)
4 times d is 4d
4 times -2 is -8
Basically, it's saying make y=x by simplifying.
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Answer:
0.44
Step-by-step explanation:
The total numbers drawn = 300
Out those 146 are odd and 154 are even.
The number 8 was drawn = 22 times
So, the number of times an even number other than 8 = 154 -22 = 132
The experimental probability = The number of favorable outcomes ÷ The number of possible outcomes.
The experimental probability of an even number other than 8 being generated = 
Simplify the above fraction to decimal, we get
= 0.44
Therefore, the answer is 0.44
Answer:
Lets denote
1. eggs as x,
2. edamame as y
3. elbow macaroni as z
The problem then is
min TC=2x+5y+3z
subject to

Step-by-step explanation:
First the objective is to minimize total cost subject to some nutritional requirements.
So the total cost function (TC) is the number of servings multiplied for the corresponding costs. Eggs cost 2, edamame 5, and macaroni 3
Next we have to meet the nutritional requirements, the first of the restrictions is the protein restriction. The problem requires that the meal contains at least 40g of carbohydrates (that is why the restriction is
). Then we add how much each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.
Same for protein, we need at least 20 grams of protein (
). Eggs add 17g, edamame adds 12g, and macaroni adds 8g.
Finally we don't want more than 50 grams of fat (
). Eggs add 14g, edamame add 6g and macaroni 1g.
Finally, we add the non negativity restrictions-> we cannot buy negative quantities of these goods, but we allow for zero.