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Pavlova-9 [17]
3 years ago
11

The number 6 is a solution to which of the following inequalities?

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

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1) Find x, if 1/3 of x is 14
BartSMP [9]

"of" means multiply      and         "is" means equal

1. \frac{1}{3}x = 14

                                x = 14(3)      <em>multiply both sides by 3 to isolate "x"</em>

                                x = 42

2. \frac{1}{5}x = 14

                                x = 14(5)      <em>multiply both sides by 5 to isolate "x"</em>

                                x = 70

3. \frac{2}{5}x = 14

                                2x = 14(5)      <em>multiply both sides by 5 </em>

                                2x = 70

                                  x = 35         <em>divide both sides by 2 to isolate "x"</em>

4. \frac{7}{8}x = 14

                                7x = 14(8)      <em>multiply both sides by 8 </em>

                                7x = 112

                                  x = 16         <em>divide both sides by 7 to isolate "x"</em>

Answers: 42, 70, 35, 16

5 0
3 years ago
Using addition formula solve tan 15​
salantis [7]

Answer:

2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = \frac{tanA-tanB}{1+tanAtanB} and the exact values

tan45° = 1 , tan60° = \sqrt{3} , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= \frac{tan60-tan45}{1+tan60tan45}

= \frac{\sqrt{3}-1 }{1+\sqrt{3} }

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

= \frac{\sqrt{3}-3-1+\sqrt{3}  }{1-3}

= \frac{-4+2\sqrt{3} }{-2}

= \frac{-4}{-2} + \frac{2\sqrt{3} }{-2}

= 2 - \sqrt{3}

3 0
3 years ago
every 10 years the shrum family has a reunion. every 2 years they meet for a dinner. How often does the reunion fall in the same
ArbitrLikvidat [17]
Every 10 years
on the fifth dinner and the first reunion
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2 years ago
Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and th
Pachacha [2.7K]

<em><u>No one knows the answer to the mystery...</u></em>

8 0
3 years ago
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(2a^-2)(3a^3b^2)(c^-2)
aalyn [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
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