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2 years ago

28.35 g in an ounce and 2.21 lb in a kilogram. convert 3 kilograms to ounces. Is conversion correct? Explain. please

Mathematics

1 answer:

bearhunter [10]2 years ago

8 0

Answer:

Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear on the numerator and the denominator side. The solution is as follows:

Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces

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Solve each pair of simultaneous equations giving both solutions. You need to multiply both equations by suitable numbers before

Vladimir79 [104]

Answer:

a) x = 12 y = 9

b) x = -2 y = -4

c) x = 6 y = -2

Step-by-step explanation:

Equation 1: 6x - 7y = 9

Equation 2: 3x + 2y = 54

Multiply Equation 2 by 2:

⇒ 6x + 4y = 108

Subtract equations:

6x + 4y = 108

- 6x - 7y = 9

11y = 99

Divide both sides by 11:

⇒ y = 9

Substitute found value of y into Equation 1 and solve for x:

⇒ 6x - 7(9) = 9

⇒ 6x - 63 = 9

⇒ 6x = 72

⇒ x = 12

---------------------------------------------------------------------------------------------------

Equation 1: 4x - 5y = 12

Equation 2: 2x - 3y = 8

Multiply Equation 2 by 2:

⇒ 4x - 6y = 16

Subtract equations:

4x - 6y = 16

- 4x - 5y = 12

-y = 4

Divide both sides by -1:

⇒ y = -4

Substitute found value of y into Equation 1 and solve for x:

⇒ 4x - 5(-4) = 12

⇒ 4x + 20 = 12

⇒ 4x = -8

⇒ x = -2

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Equation 1: 4x - 2y = 28

Equation 2: 3x + 3y = 12

Multiply Equation 1 by 3:

⇒ 12x - 6y = 84

Multiply Equation 2 by 4:

⇒ 12x + 12y = 48

Subtract equations:

12x - 6y = 84

- 12x + 12y = 48

-18y = 36

Divide both sides by -18:

⇒ y = -2

Substitute found value of y into Equation 1 and solve for x:

⇒ 4x - 2(-2) = 28

⇒ 4x + 4 = 28

⇒ 4x = 24

⇒ x = 6

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2 years ago

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9514 1404 393

Answer:

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Step-by-step explanation:

The variable arrangement is the same for each term, so we simply combine their coefficients:

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3 years ago

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sergejj [24]

The answer is C 40 degrees

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Rama09 [41]

Answer:

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Step-by-step explanation:

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2 years ago

Heron wants to buy a video game. The price is regularly priced at 55 dollars. The store has a discount of 20% off and a sales ta

nadezda [96]

The amount paid by Heron for the video game is $46.64.

Step-by-step explanation:

Here, the marked price of the video game = $55

The discount percentage on the video game = 20%

Calculating 20% of the $55, we get:

$\frac{20}{100} \times 55 = 11$

So, the discount offered on the video game = $11

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=$55 - $11 = $44

Now, the tax percentage on the video game = 6%

Calculating 6% of the $44, we get:

$\frac{6}{100} \times 44 =2.64$

So, the tax on the video game = $2.64

New Selling Price = Selling Price + Tax

=$44 + $2.64 = $46.64

So, the amount paid by Heron for the video game is $46.64.

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