A machine makes a box in 1 3/10 secs. How many boxes can the machine make in a hour? Please show work

Mathematics

1 answer:

AnnZ [12.3K]1 month ago

5 0

The total is 4 boxes, as you don't count the.6 since it's not a complete box.

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Find the measure of x. Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line

Leona [12618]

Response:

Solution for x is 1

Detailed explanation:

Line PU acts as a transversal intersecting parallel lines QR and ST

The angles PRQ and UST sum to 180 degrees

15(x+2) = 180 - 135
15x + 30 = 45
15x = 15
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2 months ago

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It takes Engineer Kweku three hours to drive to his brother’s house at an average speed of 50 miles per hour. If He takes the sa

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Answer:

2.5 hours

Step-by-step explanation:

Distance equals speed multiplied by time. For constant distance, time varies inversely with speed. When traveling at 60/50 = 6/5 times the original speed, the return journey takes 5/6 of the initial duration:

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2 months ago

Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

AnnZ [12381]

Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

Step-by-step explanation:

a) To achieve an even total, there are 3 possible combinations:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

Order is irrelevant

Summing these yields your final result: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.

$\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}$