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Lorico [155]
3 years ago
10

Inventor A had 630 inventions, 600% more than the number of inventions inventor B had. How many inventions did B have?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer:

105 inventions

Step-by-step explanation:

Find how many inventions Inventor B had by dividing 630 by 6:

630/6

= 105

So, Inventor B had 105 inventions

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What’s the value of x? :/
kolbaska11 [484]

Answer:

x = 27

Step-by-step explanation:

According to congruent chords and arcs theorem, if \overline{XY} \cong \overline{ZY} then \arc{XY} \cong \arc{ZY}.

This means that \arc{XY} = \arc{ZY} = (6x - 20) degrees

Thus:

\arc{XY} + \arc{ZY} + \arc{ZX} = 360 (full circle = 360°)

\arc{XY} = (6x - 20)

\arc{ZY} = (6x - 20)

\arc{ZX} = 76

Plug in the values into the equation

(6x - 20) + (6x - 20) + 76 = 360

6x - 20 + 6x - 20 + 76 = 360

Add like terms

12x + 36 = 360

Subtract 36 on both sides

12x = 360 - 36

12x = 324

Divide both sides by 12

x = 27

8 0
3 years ago
Determine whether a quadratic model exists for the set of values below. If​ so, write the model. f(0) = -4, f(3) = -19, f(-1) =
Vikentia [17]

Answer:

  A) The model exists: f(x) = -3x^2 +4x -4

Step-by-step explanation:

A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.

Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.

The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...

  f(x) = -3x^2 +4x -4

7 0
2 years ago
This table shows the number of points two teams scored in five games
mezya [45]

Answer:

2.16

Step-by-step explanation:

The question is on mean absolute deviation

The general formula ,

Mean deviation = sum║x-μ║/N where  x is the each individual value, μ is the mean and N is number of values

<u>Team 1</u>

Finding the mean ;

mean= \frac{51+47+35+48+64}{5}  =49

Points     Absolute Deviation from mean

51                          2

47                         2

35                        14

48                         1

64                         15

<u>Sum    </u>                34          

Absolute mean deviation = 34/5= 6.8

<u>Team 2</u>

Finding the mean

mean=\frac{27+55+53+38+41}{5} = 42.8

Points                      Absolute deviation from the mean

27                                    15.8

55                                    12.2

53                                     10.2

38                                      4.8

41                                       1.8

<u>Sum                                 44.8        </u>

Absolute deviation from the mean = 44.8/5 =8.96

Solution

Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16

5 0
3 years ago
Please help me. Factor. 5x^+23x+26
Alexus [3.1K]
<span>Algebra Calculator | Latest | Discuss | About | Help | Translation</span>

20,897,614 solved | 1,346 online

Skip Ad <span> <span> <span> <span> </span> <span>
</span></span></span></span> <span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span>  x = 2 </span><span>  x = 13/5 = 2.600
</span></span>

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     5*x^2-23*x-(-26)=0 

Step by step solution :Skip Ad
<span> Step  1  :</span><span>Equation at the end of step  1  :</span><span> (5x2 - 23x) - -26 = 0 </span><span> Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 5x2-23x+26</span> 

The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  5 • 26 = 130</span> 

Step-2 : Find two factors of  130  whose sum equals the coefficient of the middle term, which is  <span> -23 </span>.

<span><span>       -130    +    -1    =    -131 <span>
</span> </span> <span>       -65    +    -2    =    -67 <span>
</span> </span> <span>       -26    +    -5    =    -31 <span>
</span> </span> <span>       -13    +    -10    =    -23    That's it</span></span>
4 0
3 years ago
221,000,000,000,000,000,000 in scientific notation
larisa [96]
2.21 x 10^17 and the answer is 2.21e+17
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