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photoshop1234 [79]
3 years ago
7

  A store sells two kinds of​ candles, scented and unscented. The scented candles burn one eighth inch

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

Answer:

Scented candle, 1/2 inch per hour

Unscented 1/3 inch per hour

Step-by-step explanation:

The scented candle burns 1/8 inch in every 15 minutes. The unscented candle burns 1/9 inch in every 20 minutes.

We simply first convert the time taken in fraction to minutes for convenience using the conversion 60 minutes are in an hour.

Now let’s calculate unit rate per hour I.e every 60 minutes.

For the scented candle:

1/8 inch burns in 15 minutes

x inch will burn in 60 minutes

To get x, we cross multiply.

1/8 * 60 = 15 * x

15x = 7.5, x = 7.5/15 = 1/2 = 0.5

This means that half of the scented candle will have been burnt in 1 hour.

Now, for the unscented candle, if 1/9 inch burns in 20 minutes, x inch will burn in 60 minutes.

1/9 * 60 = 20x

180x = 60

x = 1/3 or 0.33

This means one-third will be burnt in an hour

The scented one burns more.

The unit rate is the rate of burning per hour. It is the fraction of the candles that will burn per hour. It enables us find the time it will take for either candles to burn up.

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Alex17521 [72]

Answer:

1) b = 60°

2) a = 90°, b = 90°

Step-by-step explanation:

1) Angles on a straight line add to 180° so 180 - 120 is 60°

2) The two lines are perpendicular (meet at right angles) so both angles are 90°

Hope this helps!

8 0
3 years ago
Need help with this question asap pleasee
tresset_1 [31]

Answer:

The second choice is correct

Step-by-step explanation:

Here, we want to get the correct statement

As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center

Mathematically, we know that angle at the center is two times the angle at the circumference

Thus,

m1 = 1/2 (m2)

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7 0
3 years ago
Which expression is equivalent to ^3 square root 64a^6 b^7 c^9
sergij07 [2.7K]

Answer:

4a^{2} b^{2} c^{3} (\sqrt[3]{b})

Step-by-step explanation:

The given expression is :

\sqrt[3]{(64}a^{6}b^{7} c^{9} )

Writing 64 ,a,b,c as cubes we have:

= \sqrt[3]{(}4^{3}( a^{2})^3( b^{2})^3.b( c^{3} )^3)

Using radical rule we have :

=4a^{2} b^{2} c^{3} (\sqrt[3]{b}).

The second option is the right answer.



7 0
3 years ago
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In the middle of the page draw a equilateral triangle with 2 inch sides and the bottom parallel to the of the page
Mrrafil [7]

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3 years ago
Write the sum using summation notation, assuming the suggested pattern continues. 8 - 40 + 200 - 1000 + ...
mr_godi [17]
Each successive term is -5 times the previous one, so the underlying sequence is

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The sum can then be written as

8-40+200-1000+\cdots=\displaystyle\sum_{n=1}^\infty8(-5)^{n-1}
3 0
4 years ago
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