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diamong [38]
3 years ago
6

QUESTION SHOWN ON PHOTO.

Mathematics
2 answers:
Tanya [424]3 years ago
6 0

Answer:

C

Step-by-step explanation:

As we know, 2/3 is 2 out of 3 parts of a whole. In this case, the number 1 on the number line is our whole. 2/3 is between 0 and 1, so from this, we can infer that C is the answer. Also, 2/3 is a little more than 1/2, so it checks out. I hope this helps!

vladimir1956 [14]3 years ago
4 0

Answer:c

Step-by-step explanation:

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1.Solve the equation. Check for extraneous solutions.
elena55 [62]
Okay so I did the math. 

1. Two solutions were found :<span><span> 
z=-1
</span><span>z=2/3
</span></span><span>Step  1  :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |2z-3| = 4z-1 

<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

 </span>For the Negative case we'll use -(2z-3) 

For the Positive case we'll use (2z-3) 

<span>Step  3  :</span>Solve the Negative Case

      -(2z-3) = 4z-1 

     Multiply
      -2z+3 = 4z-1 

     Rearrange and Add up
      -6z = -4 

     Divide both sides by 6 
      -z = -(2/3) 

     Multiply both sides by (-1) 
      z = (2/3) 
     Which is the solution for the Negative Case

<span>Step  4  :</span>Solve the Positive Case

      (2z-3) = 4z-1 

     Rearrange and Add up
      -2z = 2 

     Divide both sides by 2 
      -z = 1 

     Multiply both sides by (-1) 
      z = -1 
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step  1  :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
      |3x-4|+5 < 27 

Another term is moved / added to the right hand side.

      |3x-4| < 22 

<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

 </span>For the Negative case we'll use -(3x-4) 

For the Positive case we'll use (3x-4) 

<span>Step  3  :</span>Solve the Negative Case

      -(3x-4) < 22 

     Multiply
      -3x+4 < 22 

     Rearrange and Add up
      -3x < 18 

     Divide both sides by 3 
      -x < 6 

     Multiply both sides by (-1) 
     Remember to flip the inequality sign 
      x > -6 
     Which is the solution for the Negative Case

<span>Step  4  :</span>Solve the Positive Case

      (3x-4) < 22 

     Rearrange and Add up
      3x < 26 

     Divide both sides by 3 
      x < (26/3) 

     Which is the solution for the Positive Case

<span>Step  5  :</span>Wrap up the solution

    -6 < x < 26/3

Solution in Interval Notation

    (-6,26/3) 

HOPE THIS HELPS :D
7 0
3 years ago
Please help me IDK how to do this!!!!!!
tatiyna
A parallelogram should have 2 sets of parallel lines. Let's find the slope of line PQ and RS to test.

PQ:
(4-2)/(1-(-3))
2/4
1/2

RS:
(2-0)/(3-1)
2/2
1

Because 1 does not equal 1/2 (the slopes are different) the lines are not parallel. Thus, the figure is not a parallelogram.
5 0
3 years ago
Helpppppp me with question 4 Thursday pleaseeeeeeeeeeeeeeee
Gennadij [26K]
If x is 0 then I think it would be the 3 to the second power and that is 9. Because 0 + 9 = 9. Correct me if I’m wrong!
8 0
3 years ago
The goal of a nutritional study was to compare the caloric intake of adolescents living in rural areas of the US with the calori
stiks02 [169]

Answer:

To give more clarity to the question, lets examine the attached back-to-back stem plot.

A)

Having examined the stem plot, we can using quick calculations, summarize that:

The mean (40.45 cal/kg) and median (41 cal/kg) daily caloric intake of ninth-grade students in the rural school is higher than the corresponding measures of center, mean (32.6 cal/kg) and median (32 cal/kg), for ninth-graders in the urban school.

The median and the mean for the students in the 9th grade in the urban school is lower than that of those of their contemporaries in the rural school. The respective medians and means are stated below:

Urban 9th Grade Students

Median = 32 cal/kg

Mean = 36 cal/kg

Rural 9th Grade Students

Median = 41 cal/kg

Mean = 41 cal/kg

Please note that all figures above have been approximated to the nearest whole number.

B)

It is unreasonable to generalize the findings of this study to all rural and urban 9th-grade students in the United States because the sample is too small compared to the target population size.

To allow for generalization, they would have to collect and analyze more samples say from every state within America.

Cheers!

5 0
3 years ago
Which is the correct algebraic expression after combining like terms?
Free_Kalibri [48]

Answer:

  b)  3cd+3 1/3c-3d

Step-by-step explanation:

It can work well to factor the variables out so you can see the coefficients more easily:

  6cd+3c-7d-3cd+4d+1/3c

  = (6 -3)cd +(3 +1/3)c +(-7 +4)d

  = 3cd +(3 1/3)c -3d

7 0
3 years ago
Read 2 more answers
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