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skad [1K]
3 years ago
9

A boat has a rip-hole in the bottom while 20 miles away from the shore. The water comes in at a rate of 1.5 tons every minute, a

nd the boat would sink after 70 tons of water came in. How fast must the boat go in order to reach the shore before sinking?
Mathematics
1 answer:
Montano1993 [528]3 years ago
7 0

Answer:

t = 70 tons/1.5 tons/min = 46.7 min = 2800 sec before boat sinks

S = V * t

V = S / t = 20 mi * 5280 ft/mi / 2800  sec  = 37.7 ft/sec

Since 88 ft/sec = 60 mph

the speed is 60 * 37.7 / 88 = 25.7 mph

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The following table shows the length and width of two rectangles:
zhannawk [14.2K]

Answer:

10x - 8 or 2( 5x - 4)

Step-by-step explanation:

Perimeter of a rectangle = 2( Length + Width)

<u>Rectangle A </u>

Length = x + 8,

Width  = x - 1

Perimeter_A = 2((x + 8) + ( x - 1))\\\\

                 = 2(x + 8 + x - 1) \\\\= 2(2x + 7)\\\\=4x + 14

<u>Rectangle B</u>

Length = 4x + 5

Width = 3x - 2

Perimeter _B= 2((4x + 5) + (3x-2))\\\\

                 =2(4x + 5 + 3x - 2)\\\\=2(7x + 3)\\\\=14x + 6

Perimeter_B - Perimeter_A = (14x +6)-(4x + 14) \\\\

                                       =14x + 6 - 4x - 14\\\\=10x -8\\\\or \\\\=2(5x - 4)

4 0
3 years ago
Which equation of the solutions of x2 = -7x – 8
timama [110]

Answer:

x = 1, -5.56

Step-by-step explanation:

x^2 = -7x - 8

shift -7x and -8 to the other side . Remember when u shift minus changes into plus.

x^2 + 7x + 8 = 0

using quadratic equation formula

in quadratic equation one value comes positive and other comes in negative

a = 1  , b = 7 and c = 8

taking positive sign

x = (-b + \sqrt{b^2 - 4*a*c}) /2*a

x = (-7 + \sqrt{7^2 - 4*1*8} ) /2*1

x = (-7 + \sqrt{49 + 32} ) /2

x = (-7 + \sqrt{81} )/ 2

x = -7 + 9 / 2

x = 2/2

x = 1

taking negative sign

(-b - \sqrt{b^2 - 4*a*c} ) /2*a

x = (-7 - \sqrt{7^2 - 4*1*8} ) /2*1

x = (-7 - \sqrt{49 - 32} ) /2

x = -7 - \sqrt{17} / 2

x = -7 - 4.12 / 2

x = -11.12/2

x = -5.56

therefore x = 1 , - 5.56

4 0
3 years ago
Read 2 more answers
I need help fr!! ignore the writing lol
Romashka [77]

Answer:

-40

Step-by-step explanation:

(-7)(5)-5=-35-5=-40

8 0
2 years ago
Read 2 more answers
URGENT HELP <br> *read photo for both questions*
solniwko [45]

SeconAnswer:

Step-by-step explanation:

First question answer is 390.66 m

1 mile_1609.34 m

1000m=1km

2km=2x1000=2000m

2000km - 1609.34m=390.66m

Se ond question 6x10000=60000cm2

3 0
3 years ago
310-(30x7)=5xk solve for k
NeX [460]

Answer K= 20/x

Step-by-step explanation:

8 0
3 years ago
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