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Vera_Pavlovna [14]
2 years ago
13

2d(3*6)=48y when y=1/4

Mathematics
1 answer:
vaieri [72.5K]2 years ago
8 0

Answer: d = 1/3

Step-by-step explanation: 48y = 48/4 = 12. So, 2d(18) is equal to 12. 12/18 is 2/3 so 2d has to equal 2/3. That means d = 1/3.

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Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts. To make her product she adds peanuts to Brand A's mixed nuts w
slavikrds [6]

Answer:

She combines 9.3 kg of each.

Step-by-step explanation:

Let x = amount of brand A in kg

Let y = amount of peanuts in kg

First we deal with the amount of each product she uses.

"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."

x + y = 18.6

Now we deal with just the amount of peanuts.

"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."

Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.

The peanuts she adds are pure peanuts, so all of y is peanuts.

The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.

0.2x + y = 0.6 * 18.6

0.2x + y = 11.16

We have a system of equations:

x + y = 18.6

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We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.

0.8x = 7.44

Divide both sides by 0.8

x = 9.3

Plug in 9.3 for x in the first equation of the system and solve for y.

x + y = 18.6

9.3 + y = 18.6

y = 9.3

Answer: She combines 9.3 kg of each.

4 0
2 years ago
A triangle has vertices at (4,-2), (2,2) and (4,6). What are the vertices of the image of the triangle after applying the transl
Paha777 [63]

I believe it’s D. Hope this helps

4 0
2 years ago
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Answer:

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Step-by-step explanation:

use cosine law c^2 = a^2 + b^2 − 2ab cos(C)

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The cosine rule is used when we are given either three sides or two sides and the included angle.

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Answer:

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Step-by-step explanation:

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