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lord [1]
3 years ago
11

Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 mile

s per hour, the other moved twice as fast. How soon will the boats meet?
Mathematics
1 answer:
madam [21]3 years ago
5 0

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

A(t) = B(t)

3t = 30 - 6t

9t = 30

t = \frac{30}{9}

t = 3.33

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if A and B together can do a piece of work in 10 days and B along can do it in 15 days, how many part of the work does A complet
anzhelika [568]

Answer:

1/5

Step-by-step explanation:

Well work can be defined as: work = rate \ *\ time

where rate=amount of work that can be done in one unit of time

let a = rate of work A does in a day

let b = rate of work B does in a day

this means that: 10a + 10b=1 where work=1 and it just means the entire job has been completed.

Since b can do it alone in 15 days, this means that: 15b=1

If we divide by 15 here, we get the equation: b=\frac{1}{15}

We can now use this definition to substitute it into the first equation we made.

10a + 10(\frac{1}{15}) = 1

Multiply the 10 and 1/15

10a+\frac{2}{3}=1

subtract 2/3 from both sides

10a=\frac{1}{3}

Now divide both sides by 10

a=\frac{1}{30}

Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days

6a=\frac{6}{30}

Now divide both the numerator and denominator by 6

a=\frac{1}{5}

8 0
2 years ago
Simplify 4ab - 6a^2b + 3ab^2 +3b - 6qb
Diano4ka-milaya [45]
<span>b • (6a2 - 3ab - 4a + 6q - 3)</span>
3 0
3 years ago
The complement of (10 Points)
loris [4]

Answer:

..?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The sum of two consecutive integrates is no more than 209. What is the larger of the two integers?
UNO [17]

Answer:

105 is the larger of the two integers

Step-by-step explanation:

104+105=209

104 and 105 are consecutive and their sum is no more than 209

8 0
3 years ago
Finley and Cooper are wanting to go to SkyZone. Finley pays $53.75 for 5 hours. How much will Cooper pay for 3 hours?
IrinaK [193]

Answer:

<em>10.75 x 3 = $32.25</em>

Step-by-step explanation:

first, we need to figure out how much the cost is for one hour:

53.75/5 = 10.75

therefore, the cost at skyzone for 1 hour is $10.75 , BUT, we still need to figure out the time for 3 hours.

so, 10.75 x 3 = $32.25

6 0
3 years ago
Read 2 more answers
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