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aleksandrvk [35]
3 years ago
6

2. If y varies inversely as x and y = 3 when x = 5, find x when y = 2.5

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

Step-by-step explanation:

From the law of variation,

y <> 1/x, where <> is the constant of proportionality. Therefore

y = k/x where k is a constant

3 = k/5 and k = 15

To find x when y = 2.5(5/2)

Go back to the second equation

y = k/x

5/2 = 15/x

When you cross multiply

5x = 30.

Divide through by 5,

x = 6.

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In the figure below, B is between A and C, and C is between B and D. If AC=9, BD=10, and BC-2, find AD
ehidna [41]

Considering the situation described in the problem, the length of segment AD is of: 17 units.

<h3>How to find the length of segment AD?</h3>

From the situation described in the problem, segment AD is divided into three parts:

  • Part AB.
  • Part BC.
  • Part CD.

Then, the length of segment AD is:

AD = AB + BC + CD.

We have that AC = 9, hence:

AB + BC = 9.

We also have that BD = 10, then:

BC + CD = 10.

Since BC = 2, we have that:

  • AB + BC = 9 -> AB + 2 = 9 -> AB = 7.
  • BC + CD = 10 -> 2 + CD = 10 -> CD = 8.

Then the length of segment AD is given as follows:

AD = AB + BC + CD = 7 + 2 + 8 = 17.

More can be learned about the length of segments at brainly.com/question/7694028

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4 0
1 year ago
Terminal point corresponding to theta=-120 degrees
Valentin [98]
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3 0
3 years ago
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solniwko [45]
34 + (2x2days) + (-1x2) So far it would equal 36$ stock then last day is -3 so 33$ is the stock.

3 0
3 years ago
81/15 + -14/5 plz it is for a test
Natali [406]

Answer:

13/5 and/or 2.6

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
an experiment consists of flipping a fair coin 4 times. What is the probability of obtaining at least one head?
Dvinal [7]
\mathbb P(X\ge1)=1-\mathbb P(X=0)

The probability of getting 0 heads in 4 tosses (or equivalently, 4 tails) is \dfrac1{2^4}=\dfrac1{16}.

So the desired probability is

1-\dfrac1{16}=\dfrac{15}{16}
7 0
3 years ago
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