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bezimeni [28]
2 years ago
14

A boat travels 8 miles upstream in the same amount of time it can travel 12 miles downstream. In still water the speed of the bo

at is 5 mi/h. What is the speed of the current?
Mathematics
1 answer:
Anastaziya [24]2 years ago
7 0

Answer:

1 mi/hr

Step-by-step explanation:

Given that:

Speed in still water, s = 5 mi/hr

Let speed of current = x

Time = distance /speed

Upstream (subtract speed of current) = 5 - x

Upstream time = 8 / 5 - x - - - (1)

Downstream (add speed of current) = 5 + x

Downstream time = 12 / 5 + x - - - (2)

Equate (1) and (2)

8 / (5 - x) = 12/ (5 + x)

8(5 + x) = 12(5-x)

40 + 8x = 60 - 12x

40 - 60 = - 12x - 8x

-20 = - 20x

x = 1

Spwed of current = 1 mi/hr

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Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
maria [59]

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = \frac{kB}{C} ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = \frac{3k}{2} ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = \frac{8B}{C} ← equation of variation

when A = 10 and C = 1.5 , then

10 = \frac{8B}{1.5} ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B

8 0
2 years ago
75 is what percent of 60
VLD [36.1K]
75 is 125% of 60. Hope this helps! :)
7 0
3 years ago
Okay, help me out here!!
luda_lava [24]

Answer:

65.8

Step-by-step explanation:

(2.6*4.7)/2=6.11

11*4.7=51.7

(4.7(17-(2.6+11)))/2=7.99

6.11+51.7+7.99=65.8

3 0
3 years ago
Very easy!! help!! urgent!! its on ratio
masha68 [24]

Answer:

A and B are correct

Step-by-step explanation:

if x:y is 1:3 then x is 1 and y is 3

1/3 of 3 is 1 so A is correct

3/4(1+3) is 3 so B is correct

But

1/4 × 3 is not 1 so C is not correct

3/4 ×1 is not 3 so D isn't correct

5 0
2 years ago
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kotegsom [21]

Answer:

A constant of $20 can be multiplied by the number of months to find the amount in the account.

Step-by-step explanation:

4×20=80

7×20=140

7 0
3 years ago
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