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Verizon [17]
3 years ago
15

2) £50 was shared between Jack and Katie in the ratio 2: 3. How much did each person receive.?

Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0

Answer:

£20-Jack

£30-Katie

Step-by-step explanation:

50/5 = 10

10×2=20-jack

10×3=30-katie

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Shalnov [3]

Answer:

i6 sqrt 5

Step-by-step explanation:

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6 0
2 years ago
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A lidless box is to be made using 2m^2 of cardboard find the dimensions of the box that requires the least amount of cardboard
Jlenok [28]
1.8, Problem 37: A lidless cardboard box is to be made with a volume of 4 m3 . Find the dimensions of the box that requires the least amount of cardboard. Solution: If the dimensions of our box are x, y, and z, then we’re seeking to minimize A(x, y, z) = xy + 2xz + 2yz subject to the constraint that xyz = 4. Our first step is to make the first function a function of just 2 variables. From xyz = 4, we see z = 4/xy, and if we substitute this into A(x, y, z), we obtain a new function A(x, y) = xy + 8/y + 8/x. Since we’re optimizing something, we want to calculate the critical points, which occur when Ax = Ay = 0 or either Ax or Ay is undefined. If Ax or Ay is undefined, then x = 0 or y = 0, which means xyz = 4 can’t hold. So, we calculate when Ax = 0 = Ay. Ax = y − 8/x2 = 0 and Ay = x − 8/y2 = 0. From these, we obtain x 2y = 8 = xy2 . This forces x = y = 2, which forces z = 1. Calculating second derivatives and applying the second derivative test, we see that (x, y) = (2, 2) is a local minimum for A(x, y). To show it’s an absolute minimum, first notice that A(x, y) is defined for all choices of x and y that are positive (if x and y are arbitrarily large, you can still make z REALLY small so that xyz = 4 still). Therefore, the domain is NOT a closed and bounded region (it’s neither closed nor bounded), so you can’t apply the Extreme Value Theorem. However, you can salvage something: observe what happens to A(x, y) as x → 0, as y → 0, as x → ∞, and y → ∞. In each of these cases, at least one of the variables must go to ∞, meaning that A(x, y) goes to ∞. Thus, moving away from (2, 2) forces A(x, y) to increase, and so (2, 2) is an absolute minimum for A(x, y).
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3 years ago
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devlian [24]

Answer:

Step-by-step explanation:

The inequality y - x < -3 should be solved for y, as follows:

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Because y  <  x - 3  involves the inequality symbol <, draw a dashed line, not a solid line.   The solution set consists of all points on the graph BELOW this dashed line y  <  x - 3.

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3 years ago
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Softa [21]

Answer:

ur answer is

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4 0
3 years ago
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sladkih [1.3K]

Answer:

\large\boxed{B.\ \cos(37^o)=\dfrac{x}{14}}

Step-by-step explanation:

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6 0
2 years ago
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