There are 3 1/3 pounds of bricks in a bag. Each brick weighs 5/6 of a pound. How many bricks are in the bag?

1 answer:

5 0

This is a division problem. We need to divide the pounds in a bag by the weight of 1 brick in order to find the number of bricks in a bag.

3 1/3 / 5/6

---Make the mixed number an improper fraction

10/3 / 5/6

---Multiply the first fraction (10/3) by the reciprocal of the second fraction (5/6). The reciprocal is essentially the opposite and is found by "flipping" the fraction.

10/3 x 6/5

60 / 15

Answer: 4 bricks are in the bag

Hope this helps!

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Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.

fgiga [73]

Step-by-step explanation:

$\triangle HFM \sim \triangle PST... (Given) \\\\\therefore \frac{HF}{PS} = \frac{FM}{ST} = \frac{HM}{PT}...(csst) \\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{45}{9}\\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \frac{30}{PS} = \frac{5}{1} \\ \\ \therefore PS = \frac{30}{5} \\ \\\boxed{ \therefore PS = 6 }\\ \\ \because \: \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \: ST = \frac{35}{5} \\ \\ \boxed{\therefore \: ST = 7} \\ \\ perimeter \: of \: \triangle PST \\ = 9 + 7 + 6 \\ = 22 \: units$