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9966 [12]
4 years ago
8

A machine packs at a constant rate of 2/3 of a box every 1/2 minuet. What’s is the number of boxes per minute that’s the machine

packs?
Mathematics
1 answer:
lions [1.4K]4 years ago
4 0
For this case what we can do is the following rule of three:
 2/3 of a box ------> 1/2 minutes
 x of a box ---------> 1 minute
 Clearing x we have:
 x = (1 / (1/2)) * (2/3)
 Rewriting:
 x = 2 * (2/3)
 x = 4/3
 Answer:
 the number of boxes per minute that the machine packs is:
 x = 4/3
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Step-by-step explanation:

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Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

b+c=150\\10*b+14*c=11*150

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5

Now, solve for b by replacing the value obtained into the first equation

b+c=150\\b= 150 - 37.5\\b=112.5

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

6 0
3 years ago
If Debbie ran Wednesday's distance (which is 1 3/4) 6 times a week, would she reach her goal of 10 miles?
vfiekz [6]

Answer:

Yes, she would reach her goal of 10 miles. She would have ran 10.5 (or 10 1/2) miles.

Step-by-step explanation:

If you multiply 1 3/4 (7/4) times 6 (6/1) you would get 10 1/2, which in decimal form is 10.5.

Hope this helps!

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290

Step-by-step explanation:

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