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2 years ago

The linear equatic

Mathematics

1 answer:

vichka [17]2 years ago

7 0

Answer:

Step-by-step explanation:

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A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t

aliya0001 [1]

Answer: The rate of boat is 60 kmh.

The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is : c kmh

When the boat is going upstream, the relative speed will be : $(b-c)$

When the boat is going downstream, the relative speed will be: $(b+c)$

Boat travels 220 kilometers in 4 hours going upstream.

$speed=\frac{distance}{time}$

$(b-c)=\frac{220}{4}$ .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

$(b+c)=\frac{260}{4}$ ................... equation (2)

Adding equation 1 and 2

$b-c+b+c=\frac{220}{4}+\frac{260}{4}$

$2b=\frac{480}{4}$

$2b=120$

$b=60$

Plugging the value of b as 60 in equation 2

$60+c=\frac{260}{4}$

$60+c=65$

$c=5$

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

6 0

2 years ago

If the marginal propensity to consume is 0.9, what is the maximum amount that the equilibrium gross domestic product could chang

Katen [24]

Answer: There is change of $0.9 billion in government expenditures.

Step-by-step explanation:

Since we know that

Marginal propensity to consume tells that the rate at which there is change in consumption due to change in income.

According to our situation, MPC is the change in amount of gross domestic product due to change in government expenditure.

So, it becomes,

$MPC=\dfrac{\text{Change in gross domestic product}}{\text{Change in government expenditure}}\\\\0.9=\dfrac{x}{1}\\\\x=0.9$

Hence, there is change of $0.9 billion in government expenditures.

7 0

3 years ago

Plz answer correctly. its for a test

4vir4ik [10]

Answer:

the third one

5 0

2 years ago

Solve each system of equations by substitution Y=4x+13 y=6x+19

rosijanka [135]

Answer:

I believe the answer to this question is: (-3,1) X=-3, Y=1.

6 0

2 years ago

What is the area of this polygon? Enter your answer in the box. units²

never [62]

Area of rect. = 5 x 7 = 35
area of triangle = 1/2(2)(7) = 7

area of figure = 35 + 7 = 42
answer

42 units²

3 0

2 years ago

Read 2 more answers