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igor_vitrenko [27]
2 years ago
14

Help me PLEASE here is the question I DONT UNDERSTAND IT

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
5 0

Answer: Circumference: 69.08 Area: 379.94

Step-by-step explanation:

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If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Erin has 1 7/8 pounds of trail mix. She wants to make 1/12-pound bags of the mix for snacks. How many full bags can she make?
Andreyy89
For this question , you just need to divide 1 7/8 with 1/12

1 7/8 : 1/12

= 15/8  : 1/12

= 15/8 x 12/1

= 22.5 bags.

So i guess she can make around 22 full bags

hope this helps
4 0
3 years ago
Read 2 more answers
Diego measured the length of a pen to be 21 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent
Colt1911 [192]
B hope it helps you
4 0
3 years ago
During the first week of the year, Angelina's dad gives her $10 and says that he will give her $10 more each week for the rest o
wel
You have to multiply 10 by the number of weeks in a year which is 521.429
table:
1 week=10$ 2 weeks=20$ and so on

3 0
3 years ago
Read 2 more answers
John makes a commission of 2% when he sells a house. How much will John make in commission if he sells a house for $300,000?
Anuta_ua [19.1K]

Answer: As a result of his company being able to sell a house of $300,000, John will earn a commission of $6,000.

When John sells a house, he gets a commission of 2% out of the selling price of that house.

If a house sells for $300,000 therefore, John will earn a commission of:

= Selling price of house x John's commission

= 300,000 x 2%

= $6,000

In conclusion, John will make a commission of $6,000.

Step-by-step explanation:

4 0
2 years ago
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