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yKpoI14uk [10]
3 years ago
8

Two canoes travel down a river, starting at 10:00. One canoe travels twice as fast as the other. After 3.5 hr, the canoes are 5.

25 mi apart. Find the average
rate of each canoe.
Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

Step-by-step explanation:

The time for each canoe is 3.5 hours

The total distance traveled by the first canoe is not known. Nor is the distance for the second canoe. We do know that the difference is 5.25 miles.

So let the rate of the slower canoe = x

Let the rate for the second canoe = 2x

The first canoe goes a distance of 2*x * 3.5 = 7x

The second canoe goes a distance of 3.5x

The difference = 7x - 3.5x = 5.25

3.5x = 5.25                                       divide by 3.5

x = 5.25/3.5

x = 1.5 which is the rate of the slower canoe

2x = 3  which is the rate of the faster canoe    

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were
Alchen [17]

Answer:

There were 2747 yes votes.

Step-by-step explanation:

This question can be solved using proportions.

The ratio of yes votes to no votes was 5 to 3 .

This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.

If there were 4395 total votes, how many yes votes were there?

For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?

5 yes - 8 votes

x yes - 4395 votes

8x = 4395*5

x = 4395*5/8

x = 2747

There were 2747 yes votes.

7 0
3 years ago
Evaluate the expression [(12x2.4) -(8.4*0.6)] +27-5.1
MariettaO [177]

Answer:45.66

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

6 0
3 years ago
Which of the following is equivalent to f(x)?
Fynjy0 [20]

Answer:

  • D. x^{-3/2}

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = \frac{1}{x\sqrt{x} }

<u>Equivalent expression is:</u>

  • \frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}

Correct choice is D

6 0
2 years ago
Solve the following system of inequalities graphically on the set of axes below. State
tankabanditka [31]

Answer:

The answer is definitely C

Step-by-step explanation:

Following the system of inequalities will graph this solution best on the graph, it is the inequality represented in the graph.

ur wlcm :)

correct me if im wrong

brainliest please?

6 0
2 years ago
I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.
jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be x-5.

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be \frac{2}{9}(x-5).

Further a rabbit came and ate ½ of what was left. So number of plants left would be \frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5).

Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:

\frac{1}{9}(x-5)=7

9\times \frac{1}{9}(x-5)=7\times 9

x-5=63

x-5+5=63+5

x=68

Therefore, Reuben bought 68 plants at the nursery.

6 0
3 years ago
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