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Eduardwww [97]
3 years ago
8

Nichole needs to spend at least four hours each week practicing the guitar

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

two and one third + 2x ≥ 4

Step-by-step explanation:

From the information given:

The number of hours Nicole already practiced with  = 2 \dfrac{1}{3}

However, she wants to further her practice for 2 days and make sure that each day equal each other

Let consider y be the hours she practiced each day

Then, the number of hours she will practice in two days will be 2y

Thus, the total number of hours she practiced can be computed as

= 2 \dfrac{1}{3}+2

Suppose Nicole desire to practiced for at least 4 hours,

Then,

2 \dfrac{1}{3}+2 \ge 4

Therefore, the required inequality to determine the  minimum number of hours she needs to practice on each of the 2 days suppose she practiced for at least 4 hours a day is:

two and one third + 2x ≥ 4    i.e. 2 \dfrac{1}{3}+2 \ge 4

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Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
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Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

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Applying Pythagoras theorem

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To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

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dx/dt = 32

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