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Alona [7]
2 years ago
9

A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour

, what is the rate of the current ?
Mathematics
1 answer:
OLga [1]2 years ago
7 0

Answer:

4.5 mph or 9/2 mph

Step-by-step explanation:

Let x be the rate of the current

Formula: Distance = rate x time

where rate upstream =(12-x) and time =2 hours

15=(12-x)(2)

15=24–2x

2x=24–15

2x= 9

x=9/2=4.5 miles per hour (rate of current)

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T = 3.75n over 25 (make it a fraction)
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3 years ago
A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c
Alenkinab [10]

Answer:

C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

l\times b\times h

where l is the length, b is the base and h is the height.

Volume of box =

s^2h = 150\\\\h = \dfrac{150}{s^2}

Area of base =

\text{side}\times \text{side} = s^2

Cost of concrete for the base = $4

Cost of base($) = 4s^2

Area of roof =

\text{side}\times \text{side} = s^2

Cost of material for the roof = $2

Cost of roof ($) = 2s^2

Area of 4 walls =

4\times (sh)\\=4sh

Cost of material for the side = $2.50

Cost of material of side($) =

2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}

is the required cost function.

5 0
3 years ago
F(x)=2x^2-5x<br> G(x)=3x^3<br> Find f(2)<br><br> A.-2 B.-18 C.24 D.6
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Answer:

A

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

f(2) = 2(2)² - 5(2) = 2(4) - 10 = 8 - 10 = - 2 → A

4 0
3 years ago
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In trying to calculate the product of 5 and 12 in her head, Evie first multiplied 5 times 10 and then added the result to the pr
Pie

Answer:

Step-by-step explanation:

distributive

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3 years ago
Simplify the expression.<br>13[6^2/(5^2-4^2)+9]<br><br> 181<br><br> 169<br><br> 26<br><br> 585
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So 5^2 -4^2 is 25-16 which is 9
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3 years ago
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