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Anton [14]
3 years ago
11

At a hockey game, a vender sold a combined total of 216 and hot dogs. The number of sodas sold was three times the number of hot

dogs sold. Find the number of sodas and hot dogs sold
Mathematics
1 answer:
Scilla [17]3 years ago
6 0

216 x 3 = 648

If you want to add the hot dogs to that number it would be 864

3 times 216 is 648 cans of soda

plus 216 of hot dogs

so you have 216 hot dogs and 648 sodas

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If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
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Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

(10x - 11) = (8x - 20) + 43

Solve for x

10x - 11 = 8x - 20 + 43

10x - 11 = 8x + 23

Subtract 8x from both sides

10x - 11 - 8x = 8x + 23 - 8x

2x - 11 = 23

Add 11 to both sides

2x - 11 + 11 = 23 + 11

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Divide both sides by 2

\frac{2x}{2} = \frac{34}{2}

x = 17

2. m<MKL = 8x - 20

Plug in the value of x

m<MKL = 8(17) - 20 = 136 - 20 = 116°

3. m<JKL = 10x - 11

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It is given that the inverse variation equation is

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Substitute y=4 and k=7 in equation (1).

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Divide both sides by 4.

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Therefore the value of x is \frac{7}{4}.

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