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Helga [31]
3 years ago
9

Jim paddles from one shore of a lake 3 miles wide at 4 mph, and John paddles from the opposite shore at 5 mph. How long will the

y travel before they meet?
A. 3 hours
B. 1 hour, 24 minutes
C. 27 minutes
D. 20 minutes
Mathematics
2 answers:
Tomtit [17]3 years ago
6 0
I believe its answer C
den301095 [7]3 years ago
6 0

Answer:

Option D. 20 minutes.

Step-by-step explanation:

It has been given in the question that distance between the shore of a lake is 3 miles.

Speed of Jim is 4 mph and speed of John is 5 mph.

Let they meet after time t hours.

Therefore distance traveled by Jim in t hours = 4×t miles

and distance traveled by John in t hours = 5×t miles

Total distance they cover = 3 miles.

Now 4t + 5t = 3

9t = 3

t = 3/9 hours.

t = (3×60)/9 minutes.

t = 20 minutes.

Answer is they will meet after 20 minutes.

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C) !!!

In ratios, 'things go with the same things', so recliners have to be both in the numerator or denominator. The 8 is misleading. That's the total, and the problem is all about recliners and couches only
6 0
3 years ago
Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

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First, let's start with the number of defective games. 
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Now, the test will catch 98% of those defects. That means 2% of the defects will get through to the consumers.
0.02 x 950 = 19
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Answer:

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