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kolbaska11 [484]
3 years ago
11

Is 450 divisible by 5 9 and 10

Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0
Yes.
450/5 = 90
450/9 = 50
450/10 = 45
Umnica [9.8K]3 years ago
3 0
Yes. 450 ÷ 9 = 50, 450 ÷ 5 = 90, 450 ÷ 10 = 45
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Each box of buns weighs 18 pounds and each box of potatoes weighs 35 pounds

Step-by-step explanation:

Let's say each bun box weighs b pounds and each potato box weighs p pounds. For each box of buns, we add b pounds. Therefore, for 40 boxes of buns, we add 40 * b pounds. Similarly, for 35 boxes of potatoes, we add 35 * p pounds.

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One way to solve this would be to convert this into a matrix and use Guass-Jordan Elimination. With the amount of bun boxes representing the first column, the amount of potato boxes representing the second, and the total weight of each day representing the third, we have

\left[\begin{array}{ccc}40&35&1945\\60&70&3530\end{array}\right]

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something * b = something else, enabling us to solve for b.

We thus have

\left[\begin{array}{ccc}40&35&1945\\(-40*2+60)&(-35*2+70)&(-1945*2 +3530)\end{array}\right] = \left[\begin{array}{ccc}40&35&1945\\-20&0&-360\end{array}\right]

Therefore, we can say that

-20 * b = -360

divide both sides by 20 to isolate b

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Therefore, each box of bunds weighs 18 pounds. Plugging that into an equation, we have

40 * b + 35 * p = 1945

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subtract 720 from both sides to isolate the p and its coefficient

1225 = 35 * p

divide both sides by 35 to isolate p

p = 35

Therefore, each box of potatoes weighs 35 pounds

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