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skad [1K]
2 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]2 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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How high a cube of wood would float in water if it was 1/4 the density of that water.?
ad-work [718]
From principle of floatation:

W = U

The volume of water displaced is as a result of the volume of object submerged. 

The wood would also float with 1/4 of its total height or total volume below the water surface.
7 0
3 years ago
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of
jekas [21]

Answer:

area=56000 yards²

Step-by-step explanation:

first divide 280 by 7 and get 40

scale factor is 40

5x40=200

200x280=56000

area=56000 yards²

7 0
3 years ago
What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

648=2 \cdot 324

324 divides by 2,

648=2 \cdot 2 \cdot 162

162 divides by 2,

648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27

27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}

Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how ma
lord [1]

Answer:

23 males and 12 females

Step-by-step explanation:

x = # of females

y = # of males

x + y = 35

x + x + 11 = 35

2x + 11 =35    (SUBTRACT 11 FROM BOTH SIDES)

2x = 24          (DIVIDE BOTH SIDES BY 2)

x = 12 females

x + y =35

12 + y = 35     (SUBTRACT 12 FROM BOTH SIDES)

y = 23 males

23 males + 12 females = 35 students

3 0
2 years ago
Kerry is planning to plant a rectangular garden that is 16 feet longer than it wide. Kerry wants to find its width if its area i
trapecia [35]
I think it is A. I hope Im correct.
4 0
3 years ago
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