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Klio2033 [76]
3 years ago
14

118 154 131 112 solve for x

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

9514 1404 393

Answer:

  x = 115

Step-by-step explanation:

The sum of angles in a hexagon is 720°.

  x +118 +90 +112 +131 +154 = 720

  x = 115 . . . . . . . subtract 605

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Suppose you want to create a set of weights so that any object with an integer weight from 1 to 40 pounds can be balanced on a t
Archy [21]

Answer:

You need 4 weights, and the weights are 1; 3; 9 and 27.

Step-by-step explanation:

<em>Since the scale has two plates, we can place weights on either side and also the object so it can be balanced. </em>

This is a key part of the problem, it's not only on the other side of the scale, but on both sides.

Let's do the math now.

If i get two weights, 1 and 3. I can form this combinations.

Object of 1lb = 1

Object of 2lb + 1 weight = 3 weight.

Object of 3lb = 3 weight

Object of 4lb = 1 weight + 3 weight.

So what if i want to add the next weight and that weight to add me the maximum amount of objects. The weight would have to have a difference with the last object plus one. So if i grab 9. 9 minus 4 is 5. And that is a difference with the last object plus 1.

With a weight of 9, now i can add all the integers up to 13lb.

And the next step? Lets add one more. Keeping the last rule, the weight would have to have a difference with the last object plus one. So if i grab 27, 27 minus 13 is 14. And that is a difference witht the last object plus 1.

The sum of all the weights adds up to 40 pounds. And i can balance any integer in the middle.

The formula we are using is p – n = n + 1

Where p is the new weight. and n is the last object we weighted. And the sum of the weights goes up to the last object we can place on the scale, and in this case is 40.

4 0
3 years ago
A line that is perpendicular to y=-4-10 passing through the point (8,11)
guapka [62]

Answer:

Step-by-step explanation:

11=4(8)+b

11=32+b

-21=b

y=4x-21

i think

4 0
2 years ago
The length of one side of an ice cube is 2.5 cm. Calculate the volume of the ice cube.​
pogonyaev

Answer:

15.63 cm^3

Step-by-step explanation:

Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.

v = l*w*h

v = 2.5 * 2.5 * 2.5

v = 6.25 * 2.5

v = 15.625 cm^3

6 0
2 years ago
Jenny gave her brother 4 stickers what fraction does she have left
coldgirl [10]
1/4 or 4/8 or 5/10

:DDDDDDDDDDDDDDDDD

4 0
3 years ago
Read 2 more answers
Assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, determine the number of whole cheese sandw
pav-90 [236]
If we are to consider the number of slices of bread first,

      number of sandwiches = (28 slices of bread)(1 sandwich/ 2 slices of bread)
      number of sandwiches = 14 sandwiches

If we are to consider the number of slices of cheese
 
      number of sandwiches = (45 slices of cheese)(1 sandwich / 3 slices of cheese)
     number of sandwiches = 15 sandwiches

Since, 14 is smaller than 15 then, 14 is the answer.

<em>Answer: 14 sandwiches</em>
7 0
3 years ago
Read 2 more answers
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