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3 years ago

Solve.3.5d + 8.25 = 3 + 5.25dThe solution is d = ____

Mathematics

2 answers:

BabaBlast [244]3 years ago

4 0

Answer: 2

Step-by-step explanation:

3.5d + 8.25 = 3 + 5.25d

-1.75d = -5.25

d = 3

Nezavi [6.7K]3 years ago

3 0

Answer:

d=3

Step-by-step explanation:

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An airplane travels 2416 kilometers against the wind in 4 hours and 2896 kilometers with the wind in the same amount of time. Wh

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Answer: the rate of the plane in still air is 664 km/h and the rate of the wind is 60 km/h

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

An airplane travels 2416 kilometers against the wind in 4 hours. This means that the total speed with which the plane flew is (x - y) mph.

Distance = speed × time

Distance travelled by the plane while flying against the wind is

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Dividing both sides of the equation by 4, it becomes

604 = x + y- - - - - - - - - - - 1

It flew 2896 kilometers with the wind in the same amount of time.. This means that the total speed with which the plane flew with the wind is (x + y) mph.

Distance travelled by the plane while flying with the wind is

2896 = 4(x + y)

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Adding equation 1 to equation 2, it becomes

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3 years ago

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that

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Answer:

The general term for the sequence can be given by the following formula:

$a_n=2\,n+9$

Step-by-step explanation:

If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.

Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:

$a_n=a_1\,+\,(n-1)\,d\\a_n=11\,+\,(n-1)\,2\\a_n=11+2\,n-2\\a_n=2\,n+9$

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3 years ago

Solve.3.5d + 8.25 = 3 + 5.25dThe solution is d = ____​

Solve.3.5d + 8.25 = 3 + 5.25dThe solution is d = ____