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romanna [79]
3 years ago
5

Blake rows his boat against a current 90 yards in 15 minutes. With a current, he rows 90 yards in 9 minutes. What is the rate at

which Blake rows, and what is the rate of the current.
Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

90 yards in 15 minutes =6 yds/min

90 yards in 9 minutes =10 yds/min

x = current rate

r = rowing rate

r + x = 10

r - x = 6  Adding both equations

2 r = 16

rowing rate = 8 yds/min

x = 2 yds/min (current rate)

Step-by-step explanation:

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What is the area of this figure?<br><br> Enter your answer in the box.
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A stone is a British unit of weight equivalent to 14 pounds. After losing 1 1/2 stone. Jim is now 85% of his original weight. Wh
evablogger [386]

Answer:

Jim's current weight = 119 pounds

Step-by-step explanation:

1 Stone = 14 pounds

1\frac{1}{2} stone = 1.5 stone

1.5 stone = 1.5 (14 pounds) = 21 pounds

Jim lost 21 pounds

Let X be Jim's Original Weight

Y be his present weight

As per given statement in the Question:

After losing 1.5 stones (21 pounds of weight) Jim now weighs Y

Present weight = original weight - 21

Y = X -21     <u>                                                    Equation 1</u>

Also Current Weight = 85 % (Original weight)

Y = 85 % (X) =\frac{85X}{100}

Y=\frac{85X}{100}

put in Equation 1

\frac{85X}{100} = X-21

85X = (X-21) 100

85 X = 100 X -2100

or

2100 = 100 X - 85X

2100 = 15X

or

15 X = 2100

X=\frac{2100}{15}

X= 140 pounds ( Original Weight)

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5 0
3 years ago
Solve the proportions:
IRINA_888 [86]

<u>Answer:</u>

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<h3>_______________________________</h3>

<u>- Question 7 -</u>

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
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Hence, <u>the value of x is 27</u>

<h3>_______________________________</h3>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<h3>_______________________________</h3>

<u>- Question 9 -</u>

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, <u>the value of x is 49.</u>

<h3>_______________________________</h3>

Hoped this helped.

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K12? Me too.
It would be educated guess. I just finished that practice cause I'm catching up :) Good luck!
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