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viva [34]
2 years ago
13

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 4 small boxes has a t

otal weight of 209 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 86 kilograms. How much does each type of box weigh?
Mathematics
1 answer:
Vlad [161]2 years ago
3 0
Answer: (s for small, l for large) s=15.25 kg, l=18.5 kg.


Explanation: We need a system of equation to find the two weights of both boxes.
We can use 4s+8l=209 and 2s+3l=86.

If we multiply the second equation by -2 (for elimination), we will have -4s-6l=-172.

Combing the first equation with this new one gives us 2l=37, where dividing by 2 gives us l=18.5 kg.

We can plug 18.5 into any of the two original equations to find s.

4s+8*18.5=209
4s+148=209
4s=61
s=15.25 kg
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By rounding up of the constant and coefficient terms, we have;

The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x

Step-by-step explanation:

The table for the data on the number of movie admissions each year is presented as follows;

Year, x                                             {}                      Admission, y

0                                                      {}                         1.24

2                                                       {}                        1.26

4                                                      {}                         1.39

6                                                      {}                         1.47

8                                                      {}                         1.49

10                                                      {}                        1.57

Using a graphing calculator, we have that the line of best fit is given by the following equation;

y = 1.23047619048 + 3.45714285714 × 10⁻²·x

Which is approximately, y = 1.23 + 3.46 × 10⁻²·x

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