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IRINA_888 [86]
3 years ago
14

a recycling plant processes an average of 1/3 ton of glass each minute at approximately what rate does the recycling plant proce

ss glass in tone per day ( 1 day =24 hours )
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

The solution to this problem is to convert 1/3 tons/minute to the number of tons/day.

This is done by multiplying 1/3 tons/minute by 60 minutes/hour and by 24 hours/day.

Looking the units of measure, we see that the minutes will cancel and the hours will cancel; and we will be left with tons/day.  To determine how many, multiply (1/3) x 60 x 24.  I will leave the calculation to you, but you should get 480.

I hope that this helps.

Step-by-step explanation:

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If a • b = b, what must the value of a be?
Usimov [2.4K]

Answer:

the value of a would be one, i think

6 0
3 years ago
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Ratling [72]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

8 0
3 years ago
Jim needs to rent a car. A rental company charges $21.00 per day to rent a car and $0.10 for every mile driven.
Ulleksa [173]

Answer:

21d+25\leq 115

Max is 4 days.

Step-by-step explanation:

An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign: ,\leq,\geq.

We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.

We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.

21d + 0.10(250)

We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.

So we write 21d+0.10(250)\leq 115.

To find the number of days he can rent the car, we solve for d using inverse operations.

21d+0.10(250)\leq 115\\21d+25\leq 115\\21d+25-25\leq 115-25\\21d\leq 90\\\frac{21d}{21} \leq \frac{90}{21}\\d\leq 4.3

This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.

3 0
3 years ago
Please help me with this question
vladimir1956 [14]

9514 1404 393

Answer:

  x = 7 1/3

Step-by-step explanation:

The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...

  (x -2) = (2/3)(8)

  3(x -2) = 16 . . . . . multiply by 3 to clear fractions

  3x -6 = 16 . . . . . . eliminate parentheses

  3x = 22 . . . . . . . . add 6; next divide by 3*

  x = 22/3 = 7 1/3 . . . . . feet

_____

* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.

7 0
3 years ago
If m<mkl=83. m<jkl=127. and m<jkm=(9x-10). find the value of x
kirza4 [7]

MKL = 83, JKL = 127, JKM = 9x - 10        <em>given</em>

JKL + MKL = JKM                                    <em>angle addition postulate</em>

127 +  83  = 9x - 10                                 <em>substitution</em>

       210   = 9x - 10                                  <em>simplify (add like terms)</em>

       220  = 9x                                          <em>addition property of equality</em>

        \frac{220}{9} = x

3 0
3 years ago
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