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Lesechka
2 months ago
13

. The ABC Ink Company is a small family owned company that sells packages of ink cartridge refills for smartpens. The Xavier set

contains one blue ink refill and one black ink refill. The Yvonne set includes two blue ink refills, three black ink refills, and one red ink refill. The Zena set includes four blue ink refills, five black ink refills, and one red ink refill. The company has sold most of its stock and has found that it has only 11 blue ink cartridge refills, 14 black ink cartridge refills, and 3 red ink cartridge refills. How many of each set should the company package to sell in order to use all of the remaining ink cartridges so that there will be none left in inventory.
Mathematics
1 answer:
Inessa [12.5K]2 months ago
6 0
In order to utilize the leftover stock properly, the company must package the Zena's product, committing to include one of Xavier's product in each bundle. The Xavier set consists of one blue and one black ink refill, while the Yvonne set comprises two blue, three black, and one red ink refill, whereas the Zena set contains four blue, five black, and one red ink refill. The company has 11 blue, 14 black, and 3 red ink cartridge refills available. Thus, forming equations based on existing inventory would yield the required quantities for optimal packaging without any leftover supplies.
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2 months ago
Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length
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Answer:

y=4x+7.75; continuous

Step-by-step explanation:

Let’s first establish the equation. Julie requires one segment of yarn measuring 7.75 inches: that's already known.

y = 7.75

Now, for the four pieces of yarn, each will be of equal length x. If she wants them to measure 1 inch, she'd need 4 inches of yarn. Therefore, the calculation would be:

y = 7.75 + 4x

Now, is this graph discrete or continuous? Continuous indicates there's a smooth line without gaps, while discrete has interruptions or spaces. In this scenario, x is continuous, as Julie can cut the yarn to any size for the four pieces. She is not limited to whole numbers; each piece could be, for instance, 2.5 inches or 3.1415 inches.

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3 months ago
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Sarah buys a new bike. The total cost of the bike including taxes is $349. She pays $100 down and then agrees to pay the balance
AnnZ [12381]

Each of the six payments amounts to $41.50

Step-by-step breakdown:

Given,

Total cost of the bike including taxes = $349

Initial payment = $100

Remaining balance = Total cost of bike - Initial payment

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Remaining balance = $249

She opts to pay in six equal installments, so we divide the total remaining by 6.

Monthly payment = \frac{Amount\ left\ to\ pay}{No.\ of\ months}

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Each of the six payments amounts to $41.50

Keywords: division, subtraction

Learn more about subtraction at:

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A cone-shaped water cup has a height of 3.3 inches and a diameter of 2.7 inches. One fluid ounce is equivalent to 1.8 cubic inch
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The capacity is approximately 3.5 fluid ounces. In order to determine this, we need to compute the volume of a cone-shaped cup. The formula for the volume of a cone is: 1/3 * π * r^2 * h, where r equals the diameter divided by 2, which gives 1.35 inches, and h equals 3.3 inches. After substituting these values, we find the volume to be V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inches. To convert cubic inches to fluid ounces, we use the relationship that 1 fluid ounce is equal to 1.8 cubic inches. Therefore, x fluid ounces equal to 6.3 cubic inches leads to x = 6.3 / 1.8, which results in 3.5 fluid ounces.
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Chris buys 8 more Ninja Turtles than Star Wars action figures. The Ninja Turtles cost $7 each and the Star Wars cost $9 each. Wr
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