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topjm [15]
3 years ago
14

Solve for the variable: 3.5x=32.2 What’s the variable?

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0

Answer:

The variable is x.

The value of the variable is 9.2.

Step-by-step explanation:

The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.

The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...

3.5 × (1/3.5) = 1

The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:

x · 1 = x

So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:

3.5x = 32.2

(1/3.5)(3.5)x = (1/3.5)(32)

1x = 9.2 . . . . . carry out the multiplication

x = 9.2 . . . . . . recognize 1x = x

___

You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.

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6 0
3 years ago
The line l is a tangent to the circle x^2+y^2=26 at the point A
vazorg [7]

Answer:

  65 square units

Step-by-step explanation:

Assuming point O refers to the origin, the segment OA has slope ...

  m = Δy/Δx = 5/1 = 5

Then the slope of the perpendicular line AP will be the negative reciprocal of this, -1/5.

The x-intercept of the line through (1, 5) with slope -1/5 can be found by setting y=0 in the point-slope equation for that line:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  0 -5 = (-1/5)(x -1)

  25 = x -1 . . . . . . . multiply by -5

  x = 26 . . . . . . . add 1

This means ΔOAP has a base length (OP) of 26 units and an altitude of 5 units. Its area is given by the formula ...

  A = 1/2bh

  A = 1/2(26)(5) = 65 . . . . square units

Triangle OAP has an area of 65 square units.

6 0
3 years ago
What is the value of log2 18 rounded to the nearest hundredth?​
ZanzabumX [31]

Answer: 4,170

Step-by-step explanation:

\displaystyle\  \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170

6 0
3 years ago
What is 3 4/5 rounded to the nearest half
Sphinxa [80]
3 1/2 or 7/2
keep the 3 yards and round the 4/5 to half a yard or 1/2 and just in case turn into a improper fraction
5 0
3 years ago
Read 2 more answers
2.8-5.3n - 4n + 5 =<br>plss help again <br>Thank you!<br>​
ra1l [238]

Answer:

7.8-9.3n

Step-by-step explanation:

2.8-5.3n - 4n + 5

Combine like terms

2.8 +5 -5.3n -4n

7.8-9.3n

4 0
3 years ago
Read 2 more answers
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