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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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Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
____ [38]
<h3>Answer:  35 (choice C)</h3>

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

  • D = 7b+1 = 7*17+1 = 119+1 = 120
  • E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
  • F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

3 0
2 years ago
Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
Lerok [7]

Answer:

a) The formula for the area of a circle  

Step-by-step explanation:

The formula for the area of a circle is  

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.  

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

8 0
3 years ago
PLS HELP ME ASAP FOR 1, 2, and 3 (SHOW WORK!!!!) MUST SHOW WORK! +LOTS of POINTS!!
emmainna [20.7K]
1) first find the ratio of gallons to minutes which is 150/6=25, so 25 gallons a minute.now divide 20,000 by 25=800 and that is the answer
2)so, we found the proportion 25:1 or 25 gallons a minute
3)we do the same thing we did for find, find the ratio per square feet 700/2=350, next we divide 1960 by 350. that should get you 5.6

Hope I helped! :)
6 0
3 years ago
A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the di
vovikov84 [41]

Answer:

  8 by 12 units

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4

The perimeter is given by the formula ...

  P = 2(length + width)

Filling in the given values for the variables, we have ...

  4.5w +4 = 2(w +1.5w)

  4 = 0.5w . . . . . . subtract 4.5w and collect terms

  8 = w . . . . . . . . . multiply by 2

  length = 1.5×8 = 12

The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.

4 0
2 years ago
PLEASE SOMEINE HELP ME WITH THIS ASAP
Tems11 [23]

Answer:

Sure, Help you with what?

Step-by-step explanation:

Let me know :)

Have an AWESOME Friday <3

7 0
2 years ago
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