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Naddik [55]
3 years ago
11

Solve for x. (1 point) −3x + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative 3 x > the quantity neg

ative 2 times b plus 8 all over negative 3 x < the quantity 2 times b minus 8 all over negative 3 x > the quantity negative 2 times b minus 8 all over 3
Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Given:

-3x+2b>8

To find:

The value of x.

Solution:

We have,

-3x+2b>8

To find the value of x, we need to isolate x on one side.

Subtract 2b from both sides.

-3x>8-2b

Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.

\dfrac{-3x}{-3}

x

The required inequality for x is x.

Therefore, the correct option is A.

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Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.
Lemur [1.5K]

Answer:

Kate's possible hourly rate of pay:  $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year.  If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are:  36 x 52 = 1872.  Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms:  1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072:  2072x/2072 = 72000/2072

Solve for x:  x = $34.75

Kate's hourly rate is estimated at $34.75.  We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

8 0
3 years ago
Can you help Jorge organize the results into a two-way frequency table? Please answer this ASAP
Juliette [100K]

Answer:

The table is attached!

Step-by-step explanation:

  • 6 students play both musical instrument and a sport
  • 3 students play neither a musical instrument nor a sport
  • 14 students in total play a sport

Given: There are 24 students in the class

The number of students that does not play a sport is 24 - 14 = 10

The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8

The frequency table thus is attached below:

6 0
3 years ago
Please help me find the measure of
Yuri [45]

Answer:

hey here's your answer.

5 0
3 years ago
Read 2 more answers
Please help asap, will mark brainliest. Thank you
givi [52]
The answer is ccccccccccccc
5 0
3 years ago
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The point (5,-2) is rotated 90 about the origin. Its image is
horsena [70]
The new point would be (2, 5) after it was rotated 90 degrees

3 0
3 years ago
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