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Firlakuza [10]
3 years ago
10

Three bags of sweets weigh 6 3/4 kg. Two of them have the same weight and the third bag is heavier than each of the bags of equa

l weight by 1 1/5 kg. Find the weight of each bag.
Mathematics
1 answer:
Softa [21]3 years ago
8 0

Answer: the weight of each bags are 1.85kg, 1.85kg and 3.05 kg

Step-by-step explanation:

Total weight of the three bags is

6 3/4 kg. Converting to decimal, it becomes 6.75 kg.

Two of them have the same weight. Let x represent the bags of equal weight. Their total weight would be 2x. The third bag is heavier than each of the bags of equal weight by 1 1/5 kg. Converting to decimal, it becomes 1.2kg. It means that the weight of the third bag would be

x + 1.2

Therefore, for the three bags,

2x + x + 1.2 = 6.75

3x = 6.75 - 1.2 = 5.55

x = 5.55/3 = 1.85

Weight of the third bag is

1.85 + 1.2 = 3.05kg

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Can I have help with the question
sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \frac{7}{9} (x-3.5)

y - 4.5 = \frac{7}{9} x-\frac{49}{18}

y = \frac{7}{9} x-\frac{49}{18} + 4.5

y =  \frac{7}{9} x + \frac{16}{9}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
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Answer: To find the slope of this line, you would use the fomula

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11 - 3 / 1 - (-1)=

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4

The slope of your line would be 4

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Step-by-step explanation:

7 0
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lidiya [134]

Answer:

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Step-by-step explanation:

Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2,  f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!

Hope this helps!

5 0
2 years ago
he graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is
Reika [66]

Answer:

The answer is 2

Step-by-step explanation:

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For function y = 2·x + 7,

rate of change =

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So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.




8 0
3 years ago
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