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Anna007 [38]
3 years ago
5

a bag containing some widgets weighing 81 kg. when 2 of the widgets are removed, the weight of the bag drops to 73kg. the bag wi

eghs 1 kg when empty. how many widgets are left in the bag after the 2 were removed
Mathematics
1 answer:
Sloan [31]3 years ago
3 0
First I find the individual widget weight

81 - 73 = 2x
8 = 2x
x = 4

Then I find how many widgets were left

73 - 1 = 4y
72 = 4y
18 = y

Y is the amount of widgets left, therefore the amount left is 18
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Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

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Step-by-step explanation:

Translations are just moving things around in any direction.

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2 years ago
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Write an equation of the line that passes through (-4, -1) and is perpendicular to the line y= 4/3x+6.
scoundrel [369]

Answer:

y = (-3/4)x - 4

Step-by-step explanation:

The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.

Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.

We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:

y - y1 = m(x - x1)

y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)

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y = (-3/4)x - 4

3 0
2 years ago
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