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emmasim [6.3K]
2 years ago
14

Which integer is the smallest? A. 34 B.-4 C.-84 D. 24

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

C. -84

Step-by-step explanation:

It is the smallest because when placed on a number line, it will be the farthest left.

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Solve the inequality, then identify the graph of the
Leviafan [203]

Hope this is straightforward.

7 0
3 years ago
American car makers produce 5,650,000 cars each year. In a report, Ben wrote that Americans made 6,550,000 cars. What mistake di
Degger [83]
Ben wrote the number for the hundred thousands place in the millions place
3 0
3 years ago
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohyd
Virty [35]

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

2x+12y+43z \geq40\\17x+12y+8z\geq20\\14x+6y+z\leq50\\x\geq0\\y\geq0\\z\geq0

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 \geq 40). 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 (\geq 20). Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

Finally we don't want more than 50 grams of fat (\leq50). 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.

7 0
3 years ago
El producto de 4 y un numero, aumentado en 17 es 221. Cual es el numero?
Helga [31]
La equacion seria 4n+17=221
221-17=204
4n=204   204/4=51
n=51
3 0
3 years ago
Terry's brother can paint a room in 3 hours less than Terry can paint it. Working together they can complete the job in 2 hours.
sukhopar [10]

Answer:

6

Step-by-step explanation:

the equation would be 2/(x-3) + 2/x = 1 derived from the work formula of T/A + T/B = 1; T representing total time working together, A/B respectively representing the two different rates of working. In the end Terry would spend 6 hours working alone.

5 0
3 years ago
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