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Mumz [18]
2 years ago
9

A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th

e current. The rate of the
current was 4 miles per hour. Find the rate of the rowing team in still water.
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

Answer:

5mph

Step-by-step explanation:

Let speed of boat in still water is s.

Distance proportional to speed

90/10 = (s+ 4)/(s - 4)

=> 9s - 36 = s + 4

=> 8s = 40

=> s= 5 mph

:-)

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The measure of the​ angle's supplement is 60
Sever21 [200]

Answer:

80°

Step-by-step explanation:

Let the angle be x then four times it's complement plus 60, that is

4(90 - x) + 60 ← is it's supplement

Supplementary angles sum to 180°

Sum the angle and it's supplement and equate to 180

x + 4(90 - x) + 60 = 180 ← distribute and simplify left side

x + 360 - 4x + 60 = 180

- 3x + 420 = 180 ( subtract 420 from both sides )

- 3x = - 240 ( divide both sides by - 3 )

x = 80

The required angle = x = 80°

supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°

4 0
3 years ago
Complete the
nydimaria [60]

Answer:

8th: 23

11th: 32

15th: 44

22nd: 65

18th: 53

Step-by-step explanation:

The pattern is adding 3 each time:

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65

Hope it helps!

4 0
3 years ago
In your random sample of 25 Chips Ahoy bags, you find a mean of 985 chips per bag, with a standard deviation of 10 chips. Run a
stealth61 [152]

Answer:

The p -value is less than 0.001.

Step-by-step explanation:

Given information:

Sample size = 25 chips

Sample mean = 985

Sample standard deviation = 10

Let as assume that sample is distributed normally.

The formula for test statistic

t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}

where,

\overline{x} is sample mean

μ is population mean.

s is sample standard deviation.

n is sample size.

The value of test statistic is

t=\frac{985-1000}{\frac{10}{\sqrt{25}}}

t=\frac{985-1000}{\frac{10}{\sqrt{25}}}

t=-7.5

The p-value is

p=2\times p(t

Therefore the p -value is less than 0.001.

6 0
4 years ago
Gizela teaches 5 yoga classes that are each 3/4 hour. Use the drop down menu to complete the equation below to find the number o
Assoli18 [71]

Answer:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

4 0
3 years ago
An international data plan charges $10.00
Elza [17]

Answer:

y = 2.50x + 10

Step-by-step explanation:

7 0
4 years ago
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