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wolverine [178]
3 years ago
8

The difference between 5 times a number and 3 is 12

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0
5x -3 = 12
5x -3 + 3 = 12 + 3 [Add 3 to each side]
5x + 0 = 15  [Evaluate]
5x/5 = 15/5 [Divide each side by 5]
1x = 3 [Evaluate]

The answer I get is the number 3.
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Step-by-step explanation:

8 0
2 years ago
A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556
MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then,  \overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560

Now, \sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76

Then, \sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76

Hence, the  standard deviation of his measurements = 2.76 g

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3 years ago
Which statements describe the rotations about the origin that could have transformed RSTU to R'S'T'U'? Check all that apply.
Katena32 [7]

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7 0
3 years ago
Read 2 more answers
8m^3 - 28m^2 + 6m - 21. You solve by factoring by grouping!!! quick please
Leya [2.2K]

Answer:

(2m - 7)(4 {m}^{2}  + 3)

Step-by-step explanation:

8m^3 - 28m^2 + 6m - 21 \\  = 4 {m}^{2} (2 {m}  - 7) + 3(2m - 7) \\  = (2m - 7)(4 {m}^{2}  + 3)

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2 years ago
(HELP PLEASE) graph and shade the solution of the system of enequalities below (HELP PLEASE!)
MAVERICK [17]
A b and 3 is the correct answer
8 0
3 years ago
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