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Anton
7 days ago
15

A scout troop is collecting aluminium cans for charity. Their goal is to collect at least the number of cans they collected last

year, 5,489, in 6 months. Approximately how many cans does the scout troop need to collect every month to meet their goal?
Mathematics
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If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK
lawyer [12517]

Response:

The measure of mHLK is "(204)°".

Step-by-step breakdown:

Given values include:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

What is mHLK?

Now,

Utilizing the chord-chord angle formula, we find

mHMK=\frac{1}{2}(mJL+mHLK)

Inserting the known values into the equation gives us

⇒  (8x-1)=\frac{1}{2}(15x-36+3x+2)

By carrying out cross-multiplication, we arrive at

⇒  2(8x-1)=18x-34

⇒  16x-2=18x-34

By subtracting "18x" from both sides, we obtain

⇒  16x-2-18x=18x-34-18x

⇒  -2x-2=-34

Upon adding "2" to both sides, we end up with

⇒  -2x=-34+2

⇒  -2x=-32

⇒  x=\frac{32}{2}

⇒  x=16

By substituting the value of "x" into mHLK = (15x-36)°, we calculate

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

Thus, mHLK = (204)°

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3 months ago
The local grocery store wants to know if the shoppers prefer Crest or Colgate toothpaste. The store gives all of its shoppers a
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I believe the correct response is option C.
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(2 thousands 7 tens) times 10
babunello [11817]

You may either multiply the numbers or the place value, and both methods will yield the same answer.

(2 thousands, 7 tens) multiplied by 10 results in

... (20 thousands, 70 tens)

or

... (2 ten-thousands, 7 hundreds)

8 0
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A machine makes a box in 1 3/10 secs. How many boxes can the machine make in a hour? Please show work
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The total is 4 boxes, as you don't count the.6 since it's not a complete box.
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