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Nataly [62]
3 years ago
14

Does (2, -1) make this a true statement? Why or why not? 3x + 2y = 4

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer: Yes

Step-by-step explanation:

So a coordinate pair is always set up (x,y) so you plug the x term in the coordinate pair into the x in the equation and the y term in for the y. 3×2 + 2×-1. Multiply them together and you end up with 4.

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An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.
LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

<u>Proportions</u>

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

.

There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters  

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0
3 years ago
Fill in the missing part of the analogy
steposvetlana [31]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
36 cups equal how many ounces
Sphinxa [80]
There are 8 ounces per cup, meaning that you would have to multiply to find your answer.
Multiply 36X8.
36X8=288
288 is your answer.
4 0
3 years ago
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Brett takes a cab from home to Disneyland. The cabs flat rate is $2.05 and then $0.90 per mile. The total cost of the cab ride w
Nady [450]

Brett is 4 miles away from Disneyland.

0.90 x 4 = 3.60 + 2.05 = 5.65

7 0
3 years ago
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Find the range of the graphed function
Illusion [34]

Answer:

Correct choice is A

Step-by-step explanation:

The range of the function are all possible values which variable y can take.

From the given diagram you can see that the variable x changes from -4 to the 9. So the domain of the function is -4\le x\le 9.

Also the variable y takes its values from -4 to 8. Thus, the range is -4\le y\le 8.

4 0
3 years ago
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