Simplify root 4/3+root 7 by rationalizing the denominator​

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a six-foot-tall tent standing next to a cardboard box cast a nine foot Shadow if the cardboard box cast a shadow that is 6 foot long and how tall is it

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I think it's 3 foot long but I'm not sure...

Answer: 9ft

Step-by-step explanation:

9 x 6 = 54 ÷ 6 = 9

the average flow of the niagara river is 0.477 km3 of water per day. what is the rate of water flow in units of liters per minute?

Answers

Step-by-step explanation:

.477 km^3  x 1000 m/km  x1000 m/km  x 1000 m/km  * 100 cm/m * 100 cm/m x 100 cm/m cm^3   / 1000 cm^3/liter   / (24 hrs * 60 min/hr) =

.477 * 1000^3 * 100^3  / 1000 / (24 * 60)  =   331 250 000 Liters/min

What is the perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters?

Answers

The answer is 23cm just add the sides

The perimeter is the sum of all of the lengths of the sides. To find the perimeter, add together the length of each side.

For this triangle, our side lengths are 7, 7, and  9.

7 + 7 = 14

14 + 9 = 23

The perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters is 23 centimeters.

Hope this helps!! :)

The distributive property combines (blank) and (blank) to make multiplying whole numbers simpler

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The distributive property combines addition and multiplication to make multiplying whole numbers simpler.

It combines multiplication of simpler numbers with addition.
For example:
26 x 15 can be written as: 15(10+10+6)

Answer:

Step-by-step explanation:

.

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally, how much pet food will each container hold?

Answers

The amount of pet food will each container hold will be 0.83 pounds.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A bag holds 5 pounds of pet food.

And, Paul uses the 5 pounds of food to fill 6 plastic containers equally.

Now,

Since, Paul uses the 5 pounds of food to fill 6 plastic containers equally.

Hence, The amount of pet food contain by each container = 5/6

                                                                                           = 0.83 pounds

Thus,  The amount of pet food contain by each container = 0.83 pounds

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5 pounds=6 containers how about 1
1 x 6 divided by 5
each=0.83

Vista company inc. Had a beginning inventory of 100 units of product RST at a cost of $8 per unit. During the year, purchases were. Determine the cost of goods available for sale

Answers

Average cost = $16,800 / 1,700 units = $9.94/unit

Cost of goods sold = 1,500 units * $9.94/unit = $14,890

Ending inventory = 1,700 units - 1,500 units

The cost of goods available for sale is calculated as follows:

(a) Determine the cost of goods available for sale.

Beginning inventory = 100 units * $8/unit = $800

Purchases:

February 20 = 600 units * $9/unit = $5,400

May 5 = 500 units * $10/unit = $5,000

August 12 = 400 units * $11/unit = $4,400

December 8 = 100 units * $12/unit = $1,200

Total cost of goods available for sale = $800 + $5,400 + $5,000 + $4,400 + $1,200 = $16,800

(b) Determine the ending inventory and the cost of goods sold under each of the assumed cost flow methods (FIFO, LIFO, and average-cost). Prove the accuracy of the cost of goods sold under the FIFO and LIFO methods. (Round average unit cost to three decimal places.)

FIFO

Under the FIFO method, the first units in are the first units sold. So, the ending inventory will consist of the latest units purchased.

The cost of goods sold is calculated as follows:

Units sold = 1,500 units

Beginning inventory = 100 units

Purchases:

February 20 = 600 units

May 5 = 500 units

August 12 = 400 units

December 8 = 100 units

The ending inventory will consist of the 100 units from December 8, the 400 units from August 12, and the 100 units from May 5.

Cost of goods sold = $5,400 + $5,000 + $1,200 = $11,600

Ending inventory = $100 + $400 + $100 = $600

To prove the accuracy of the cost of goods sold under the FIFO method, we can add up the cost of the beginning inventory and the purchases, and subtract the cost of the ending inventory. This should equal the cost of goods sold.

$800 + $5,400 + $5,000 + $4,400 - $600 = $11,600

LIFO

Under the LIFO method, the last units in are the first units sold. So, the ending inventory will consist of the earliest units purchased.

The cost of goods sold is calculated as follows:

Units sold = 1,500 units

Beginning inventory = 100 units

Purchases:

February 20 = 600 units

May 5 = 500 units

August 12 = 400 units

December 8 = 100 units

The ending inventory will consist of the 100 units from the beginning inventory and the 600 units from February 20.

Cost of goods sold = $5,000 + $4,400 + $1,200 = $10,600

Ending inventory = $800 + $100 = $900

To prove the accuracy of the cost of goods sold under the LIFO method, we can add up the cost of the beginning inventory and the purchases, and subtract the cost of the ending inventory. This should equal the cost of goods sold.

$800 + $5,400 + $5,000 + $4,400 - $900 = $10,600

Average-cost

Under the average-cost method, the cost of all units available for sale is averaged, and this average cost is used to determine the cost of goods sold and ending inventory.

Average cost = $16,800 / 1,700 units = $9.94/unit

Cost of goods sold = 1,500 units * $9.94/unit = $14,890

Ending inventory = 1,700 units - 1,500 units

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The Complete Question

Vista Company Inc. had a beginning inventory of 100 units of Product RST at a cost of $8 per unit. During the year, purchases were:

Feb. 20  600 units at $9

Aug. 12 400 units at $11

May 5  500 units at $10

Dec. 8  100 units at $12

Vista Company uses a periodic inventory system. Sales totaled 1,500 units.

Instructions

(a) Determine the cost of goods available for sale.

(b) Determine the ending inventory and the cost of goods sold under each of the assumed cost flow methods (FIFO, LIFO, and average-cost). Prove the accuracy of the cost of goods sold under the FIFO and LIFO methods. (Round average unit cost to three decimal places.)

a) The cost of goods available for sale is $16,800.

b) The calculated values for the cost of goods sold under the FIFO and LIFO methods match the values obtained using the formulas, proving their accuracy.

(a) Beginning Inventory:

100 units at $8 per unit = $800

Purchases:

Feb. 20:

600 units at $9 per unit

= $5,400

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 400 units at $11 per unit

= $4,400

Dec. 8: 100 units at $12 per unit

= $1,200

Total Cost of Goods Available for Sale

= $800 + $5,400 + $5,000 + $4,400 + $1,200

= $16,800

Therefore, the cost of goods is $16,800.

(b) Given the sales of 1,500 units,

FIFO (First-In, First-Out):

The ending inventory consists of the most recent purchases.

Ending Inventory (FIFO):

Dec. 8: 100 units at $12 per unit

= $1,200

Cost of Goods Sold (FIFO):

Beginning Inventory: 100 units at $8 per unit = $800

Feb. 20: 600 units at $9 per unit

= $5,400

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 200 units at $11 per unit

= $2,200

Total Cost of Goods Sold (FIFO):

$800 + $5,400 + $5,000 + $2,200

= $13,400

LIFO (Last-In, First-Out):

Ending Inventory (LIFO):

Beginning Inventory: 100 units at $8 per unit = $800

Feb. 20: 400 units at $9 per unit = $3,600

Cost of Goods Sold (LIFO):

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 400 units at $11 per unit

= $4,400

Dec. 8: 100 units at $12 per unit

= $1,200

Total Cost of Goods Sold (LIFO):

= $5,000 + $4,400 + $1,200

= $10,600

Average-Cost:

Total Cost of Goods Available for Sale: $16,800

Total Units Available for Sale:

Beginning Inventory: 100 units

Feb. 20: 600 units

May 5: 500 units

Aug. 12: 400 units

Dec. 8: 100 units

Total Units Available for Sale:

= 100 + 600 + 500 + 400 + 100

= 1,700 units

Average Unit Cost:

= Total Cost of Goods Available for Sale / Total Units Available for Sale

= $16,800 / 1,700 units

= $9.882 per unit

Ending Inventory:

Remaining Units: 1,700 units - 1,500 units (sold)

= 200 units

Ending Inventory = Remaining Units x Average Unit Cost

= 200 units x $9.882

= $1,976.40

Cost of Goods Sold (Average-Cost):

Total Cost of Goods Available for Sale - Ending Inventory

$16,800 - $1,976.40 ≈ $14,823.60

Therefore, under the average-cost method:

Ending Inventory ≈ $1,976.40

Cost of Goods Sold ≈ $14,823.60

Compare the calculated values with the cost of goods sold formulas.

FIFO Cost of Goods Sold:

Beginning Inventory: 100 units at $8 per unit

= $800

Feb. 20: 600 units at $9 per unit

= $5,400

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 200 units at $11 per unit

= $2,200

Total Cost of Goods Sold (FIFO):

= $800 + $5,400 + $5,000 + $2,200

= $13,400

LIFO Cost of Goods Sold:

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 400 units at $11 per unit

= $4,400

Dec. 8: 100 units at $12 per unit

= $1,200

Total Cost of Goods Sold (LIFO):

= $5,000 + $4,400 + $1,200

= $10,600

The match the values obtained using the formulas, proving their accuracy.

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The question attached here seems to be incomplete, the complete question is:

Vista Company Inc. had a beginning inventory of 100 units of Product RST at a cost of $8 per unit. During the year, purchases were:

Feb. 20  600 units at $9

Aug. 12 400 units at $11

May 5  500 units at $10

Dec. 8  100 units at $12

Vista Company uses a periodic inventory system. Sales totaled 1,500 units.

Instructions

(a) Determine the cost of goods available for sale.

(b) Determine the ending inventory and the cost of goods sold under each of the assumed cost flow methods (FIFO, LIFO, and average-cost). Prove the accuracy of the cost of goods sold under the FIFO and LIFO methods. (Round average unit cost to three decimal places.)