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just olya [345]
3 years ago
12

A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst

ream from Glenavon to Cambria, which is 2 miles downstream from Greentown, in g hours. Find the rate of the current.

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current.  Each of these things will be represented by a different variable:

B = speed of the boat in still water  

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?  

Rate problems are based on the relationship Distance = (Rate)(Time).


Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour.  On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour.  The resulting speed of the boat (traveling downstream) is B+C miles per hour.  Put this info in the second column in the chart.  Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!

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What does SAS stand for? what does it have to do with similar triangles?
Lorico [155]

Answer: SAS stands for side angle side and it means triangles are congruent by having the same side, angle, and side

Explanation: Let's say, two triangles both have the same angle, say 90 degrees. They also share two side lengths. Both triangles have a side length of 9 and another side length of 8.

The two triangles, sharing all these properties, must be congruent. This congruency is proven by SAS.

However, you must not get confused with other ways to prove congruency like ASA (Angle-Side-Angle)

3 0
1 year ago
Jamie is ordering buses for the school trip. There are 218 students at Park Avenue who are going on the trip. Each bus can hold
Katena32 [7]

Answer:

she should add a bus , because u need to have enough buses for all students, u cant just leave some behind

Step-by-step explanation:

4 0
3 years ago
two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the
Usimov [2.4K]

Let 'x' be the distance from THE far bank   where 700 is the distance to the NEAR bank

boat one has travelled 700    (rate = 700/unit time)         boat two has travelled   x    rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same      rate x time = distance      distance/rate = time     equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2-300x -700000 = 0                         quadratic formula yields  x = 1000  

One boat travels 700   the other   1000 whe they first meet.....width of river =   700+ 1000 = 1700 m

3 0
3 years ago
56.53 &lt;, &gt;, or = 565.3
shtirl [24]
< the bigger number is facing the back of the arrow it points to the smaller number Example: 1<2
8 0
3 years ago
Guys! Help me find how much of this circle is shaded!
Alona [7]

Answer:

The answer is 1/10

Step-by-step explanation:

Let us take the Shaded region be x

So,

2/5 + x = 1/2

Now, Solve for x

x + 2/5 = 1/2

5x + 2/5 = 1/2

2(5x + 2) = 5(1)

10x + 4 = 5

10x + 4 – 4 = 5 – 4

10x= 1

10x/10 = 1/10

x = 1/10

Thus, The value of x is 1/10

<h3><u>For</u><u> Verification</u>;</h3>

2/5 + x = 1/2

2/5 + 1/10 = 1/2

2 × 2/5 × 2 + 1/10 = 1/2

4/10 + 1/10 = 1/2

4 + 1/10 = 1/2

5/10 = 1/2

1/2 = 1/2

L.H.S = R.H.S

Hence Verified!

<u>-TheUnknownScientist</u><u> 72</u>

6 0
2 years ago
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