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Agata [3.3K]
3 years ago
8

If a is directly proportional to b/2 and a=1 when b=10, what is the value of a when b=35

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
The value of a would be 3.5, as a=1 when b=10 means that a is worth 1/10 of b's value. 
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Christopher and Edward were painting wagon wheels for the school play. The pictures show how much of the wheels they painted. Ho
Marina CMI [18]

Using fractions, it is found that \frac{43}{45} of a wheel still needs to be painted.

  • On the first wheel, 4 of the 9 equal parts have been painted, that is, \frac{4}{9} of the wheel has been painted, hence \frac{5}{9} has not been painted.
  • On the second wheel, 6 of the 10 equal parts have been painted, that is, \frac{6}{10} = \frac{3}{5} of the wheel has been painted, hence \frac{2}{5} has not been painted.

The total fraction that still has to be painted is:

\frac{5}{9} + \frac{2}{5} = \frac{25 + 18}{45} = \frac{43}{45}

\frac{43}{45} of a wheel still needs to be painted.

To learn more about fractions, you can take a look at brainly.com/question/14387610

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2 years ago
Can someone tell me how to write a linear equation from a graph?
kotykmax [81]

Answer:

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Step-by-step explanation:

4 0
2 years ago
1. The sum of a two-digits number is 13. The tens digit is 8 less than twice the units digit. What is the number?
alexgriva [62]

Answer:

<u>The number is 67</u>

Step-by-step explanation:

<u>Equations</u>

Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.

Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that

Number=10*a+b

The question gives us two conditions:

1) The sum of a two-digits number is 13.

2) The tens digit is 8 less than twice the units digit.

The first condition can be expressed as:

a + b = 13                     [1]

And the second condition can be written as:

a = 2b-8                      [2]

Replacing [2] into [1], we have:

2b-8 + b = 13

Operating:

3b = 13 + 8

3b = 21

Solving for b:

b = 21 / 3 = 7

Substituting into [2]:

a = 2*(7) - 8 = 6

Thus, the number is 67

3 0
3 years ago
The scale on a map is 1 in. :25 mi. Your measure 6.5 in. Between two towns. What is the actual distance?
pshichka [43]

Answer:

162.5mi

Step-by-step explanation:

If the scale of the map is 1in:25mi, and you measure 6.5in between two twoms, then the real distance would be 6.5in*25mi = 162.5mi.

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3 years ago
Given: ABCD is a rhombus. Prove: △AEB is a right triangle.
lukranit [14]

Answer:

Step-by-step explanation:

∵ ABCD is a rhombus

∴ AC is ⊥ on BD

∴ ΔAEB is right angled triangle

4 0
3 years ago
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