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iragen [17]
3 years ago
6

Bboats A and B leave the same port at the same time, at right angles. Boat B travels at a speed 7km/hr less than boat A. After 4

hours, the two boats are 68 km apart. What's the speed of each boat?
Mathematics
1 answer:
Burka [1]3 years ago
8 0

Answer: speed of boat A is 12 km/h

Speed of boat B is 5 km/h

Step-by-step explanation:

Let x represent the speed of boat B.

If boat B travels at a speed 7km/hr less than boat A, it means that the speed at which boat A travels is

(x + 7) km/h

After 4 hours, the two boats are 68 km apart.

Distance = speed × time

Distance covered by boat A in 4 hours is

4(x + 7)

Distance covered by boat B is

4 × x = 4x

The distance covered by both boats in 4 hours is 68 km. It means that

4x + 4(x + 7) = 68

4x + 4x + 28 = 68

8x + 28 = 68

8x = 68 - 28

8x = 40

x = 40/8

x = 5 km/h

The speed of boat A is

x + 7 = 5 + 7 = 12 km/h

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3 years ago
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One batch of pancakes calls for 3/8 cup of wheat flour and 4/8 cups of white flour . How much flour is needed for three batches
MAXImum [283]

Answer:

1  1/8 cups of wheat flour

1  4/8 or 1  1/2 cups of white flour

if you add both cups together then 2  5/8 cups of flour

Step-by-step explanation:

3*3=9 so 9/8 -> 1  1/8 cups of wheat flour

4*3= 12 so 12/8 -> 1  4/8 or 1  1/2 cups of white flour

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3 years ago
A person’s theoretical maximum heart rate (in heartbeats per minute) is 220 - x where x is the person’s age in years (20 ≤ x ≤ 6
Lyrx [107]

Let f(x) represents the heart beat of the person.

Now, we have been given that person’s theoretical maximum heart rate is given by  220 - x.

Also, we have been given that person strive for a heart rate that is at least 50% of the maximum. At least means greater than equal to.

Thus, we have

f(x)\geq (220-x)0.5\\
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Also, we have been given that person strive for a heart rate that is at most 75% of the maximum. At most means less than equal to.

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Therefore, the system of inequality is given by

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3 years ago
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Answer:

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b)When You divide the y value by x value for each ordered pair u find the slope.

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Y=60(9)

Y=540

Step-by-step explanation:

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