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3 years ago

14

Find the values of x and y.

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Value of X and Y is 90 and 26 respectively.

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If i won 10 games out of 16, how many games would i need to paly to win 50

MrRa [10]

Ratio is 10:16, so to win 50, its 50:190, so you need to play 190 games to win 50

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3 years ago

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One plane can travel 30 miles per hour faster than another. one of them goes 185 miles in the same time it takes the other to go

ycow [4]

Plane #1 speed: x mph
Plane #2 speed: (x+30) mph

time = time becomes

170 mi 185 mi
---------- = --------------
x x+30

Solving for x, the speed of the slower plane, we get

170x + 5100 = 185 x
5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
15

The slower plane flies at 340 mph, and the faster one at 370 mph.

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2 years ago

Evaluate 5xi^11 + 2xi^5

katovenus [111]

That’s how you solve complex numbers.

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3 years ago

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

2 years ago

1/4 of a liter is equal to how many mL

alexandr402 [8]

$1 \ liter = 1000 \ mL \\ \\\frac{1}{4} * 1000 = 250 \ mL$

8 0

2 years ago

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