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Volgvan
2 years ago
9

To make a certain shade of paint, Anya mixed 2/3

Mathematics
1 answer:
Jlenok [28]2 years ago
4 0

Answer:

4 cups

Step-by-step explanation:

it should be 4 cups

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The highest common factor of 18, 24, 36 is
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1. y = x2 + 2x – 8<br><br> Axis of Symmetry:<br><br> Vertex:<br><br> Domain:<br><br> Range:
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Answer:

Axis of Symmetry: x=-1

Vertex: (-1,-9)

Domain:   (- ∞ ,∞ )

Range: (-9,∞ )

Step-by-step explanation:

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3. A technician worked 45 hours in one week He gets paid double for every hour over 40 hours that he works. If his regular wage
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Answer: 41,250$ (I think)

Step-by-step explanation:

1 hour —> 825$

40 hours —> 825$ x 40 = 33,000$

The after the 40 hours he gets paid x2 and he works for 5 hours

1 hour —> 825$ x 2 = 1,650$

5 hours —> 1650$ x 5 = 8,250$

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6 0
3 years ago
A 15-ft ladder rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 0.33 ft/sec, how fast,
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Answer:

0.44 ft/sec.

Step-by-step explanation:

Let A is the bottom of the ladder and AB is the distance from the bottom of the wall i.e. B is the bottom of the wall. If C is the top of the ladder and BC is the height of the wall.

Now, Δ ABC is a right triangle and AC is the length of the ladder i.e. hypotenuse.

Now, AC² = AB² + BC² {From Pythagoras Theorem}

Now, differentiating both sides with respect to time t, we get

0 = 2 \times (AB) \times \frac{d(AB)}{dt} +  2 \times (BC) \times \frac{d(BC)}{dt}

⇒  \frac{d(AB)}{dt} = - \frac{BC}{AB} \times  \frac{d(BC)}{dt}

Now, given that \frac{d(BC)}{dt} = - 0.33 feet/sec.

Hence, \frac{d(AB)}{dt} = - \frac{BC}{AB} \times  (- 0.33) ......... (1)

Now, given that AB = 9 ft. and AC = 15 ft.

So, 15² = 9² + BC²  

⇒ BC² = 144

⇒ BC = 12 feet.

Now, from equation (1), we get

\frac{d(AB)}{dt} = - \frac{12}{9} \times  (- 0.33) = 0.44

Therefore, the bottom of the ladder is sliding away from the wall at the rate of 0.44 ft/sec. (Answer)

3 0
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