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Taya2010 [7]
2 years ago
8

Suzanne’s math teacher stayed after school for one hour to help students with their homework. Suzanne stayed for 5/12 of the hou

r. What fraction of the hour did Suzanne not stay?
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
4 0
Suzanne’s math teacher stayed after school for one hour to help students with their homework. Suzanne stayed for 5/12 of the hour. What fraction of the hour did Suzanne not stay? 7/12
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A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav
Genrish500 [490]

Answer:

  • 24 km/h

Step-by-step explanation:

  • The speed of the boat  in the lake = x
  • The speed of the current = 3 km/h

<u>Required equation:</u>

  • 54 / (x + 3) + 42 / (x - 3) = 96/x
  • 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
  • 9x² - 27x + 7x² + 21x = 16x² - 144
  • 6x = 144
  • x = 144/6
  • x = 24 km/h

7 0
3 years ago
What is the slope of the line graph in this picture?
MrMuchimi

Answer:

-5/4

Step-by-step explanation:

y2 - y1

x2 - x1

________

-2 - 3 = -5

5 - 1 = 4

Slope = -5/4

7 0
3 years ago
Given the function g(x) = 4(3)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Rudik [331]
The question is defective, or at least is trying to lead you down the primrose path.
The function is linear, so the rate of change is the same no matter what interval (section) of it you're looking at.
The "rate of change" is just the slope of the function in the section.  That's
         (change in f(x) ) / (change in 'x') between the ends of the section.
In Section A:Length of the section = (1 - 0) = 1f(1) = 5f(0) = 0change in the value of the function = (5 - 0) = 5Rate of change =            (change in the value of the function) / (size of the section) = 5/1  =  5
In Section B:Length of the section = (3 - 2) = 1 f(3) = 15f(2) = 10change in the value of the function = (15 - 10) = 5Rate of change =           (change in the value of the function) / (size of the section) = 5/1  =  5
Part A:The average rate of change of each section is 5.
Part B:The average rate of change of Section B is equal to the average rate of change of Section A.
Explanation:The average rates of change in every section are equalbecause the function is linear, its graph is a straight line,and the rate of change is just the slope of the graph.

4 0
3 years ago
Please help me out!!!!!!!!!!!!!!!!!!<br>true or false
garri49 [273]

It is possible to have a triangle with those lengths

6 0
3 years ago
Sienna planned a rectangular pool, as shown in the scale drawing below. 11 in. 7 in. Sienna used the scale drawing above to crea
Andreas93 [3]

Given that Sienna planned a rectangular pool drawn on a scale 11 inches long by 7 inches wide, and Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long, and she then decided to make a pool with a final length of 33 ft, to determine which expression finds the change in scale factor for the longer pool Sierra is building the following calculation must be performed:

  • 11 inches = 0.916 feet
  • 11 / 0.916 = 12
  • 7 inches = 0.583333 feet
  • 7 / 0.5833333 = 12
  • Thus, the initial scale is 1:12.
  • 33 / 0.916 = 36

Therefore, the scale factor went from 1:12 to 1:36.

Learn more in brainly.com/question/2302757

4 0
2 years ago
Read 2 more answers
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