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7nadin3 [17]
3 years ago
12

Kim, Laura and Molly share £385

Mathematics
1 answer:
trapecia [35]3 years ago
5 0
Set x equal to the amount of money Kim gets, and y for Molly's money.

 x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.

Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.

70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.

140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).

Thus, Laura receives about 36.4% of the total money. Hope this helps (:
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Answer:

  A) 24 ft³

Step-by-step explanation:

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The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).

  V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A

_____

<em>Comment on the triangle</em>

You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:

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  25 = 9 + 16 . . . . . true; so the triangle is a right triangle

In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.

Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.

  A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle

8 0
4 years ago
Two functions are shown below
photoshop1234 [79]
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3 years ago
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Answer:

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7 0
3 years ago
Please help me. I will marks as Brainly if correct
Serhud [2]
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6 0
3 years ago
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7 0
4 years ago
Read 2 more answers
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