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Oksanka [162]
2 years ago
13

Leon needs to save more than $350 to buy a new bike. He has $130 saved so far, and he plans to save $20 each week until he has e

nough. The inequality below represents x, the number of weeks he must save to have the extra money needed.
130+20x>350
Please and thank you :D
Mathematics
2 answers:
zlopas [31]2 years ago
4 0

He must save for 12 or more weeks.


11Alexandr11 [23.1K]2 years ago
3 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Leon already have $ 130

The total Leon needs to buy the bike is, $ 350.

The inequality given as :

130 + 20x> 350

Subtracting 130 in both sides

130+20x - 130 > 350-130

20x>220

Dividing 20in both sides

x>\frac{220}{20}

x>11

It means Leon needs more than 11 weeks to save enough money.

So the answer is 12 weeks.   :   Answer

Hope it will help :)

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Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6
nata0808 [166]

Answer:

Step-by-step explanation:                               x - 6

The given equation can be re-written as y = ---------                              

                                                                             -3

Arbitrarily choose x = 0.  Then:

      x - 6         0-6

y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the                              

          -3            -3                                                                  y-intercept

Arbitrarily choose x = 6.  Then y = 0, and (6, 0) is another point on the graph                                    

                                                              which happens to be the x-intercept

arbitrarily choose x = 12.  Then y = (12 - 6) / (-3) = -2.  Then  (12, -2) is            

                                                                                  another point on the

                                                                                  graph.

Plot (12, -2), (6, 0) and (0, 2).  Draw a line through these three points.

6 0
2 years ago
Margo bought 7 pens from a bookstore. Some of the pens cost $3 each, and the rest cost $4 each. If she paid a total of $23 for t
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Answer: 5 Pens!

Step-by-step explanation: 5 Pens Would Be The Answer.

8 0
2 years ago
The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly emp
MrRa [10]

Given:

  • The table of typical hours worked by employees at a company
  • salaried employee makes $78,000 per year
  • hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.

To Find: Which payment option to recommend to a new employee.

Solution: I would recommend being a salaried employee.

Explanation:

We begin by calculating the typical number of hours worked per week.

Adding up the hours from the table, we have 0+8+8.5+9.5+10+8+3=47.

The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.

So, the payment for 47 hours of work per week will be (26)(40) + (39)(7) = 1313 dollars.

As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be (1313)(52) = 68276. That is, an hourly employee would earn $68276.

On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.

Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.


6 0
2 years ago
Read 2 more answers
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Vinil7 [7]
Given inequality: 2y−x ≤ −6

Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied

Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied

Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.

Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.

Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.

Solutions are: (1, -4), (0, -3) , (2, -2)

4 0
2 years ago
In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?​
JulsSmile [24]

Answer:

N = 6 so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that n = 154N38, then its sum of digits is:

x = 1 + 5+4+N+3+8

x = 21+N (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

x = 21+0

x = 21 (3\times 7 = 21)

N = 3

x = 21+3

x = 24 (3\times 8 = 24)

N = 6

x = 21+6

x = 27 (3\times 9 = 27)

N = 9

x = 21+9

x = 30 (3\times 10 = 30)

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

154038 = 2\times 3\times 25673

154338 =2\times 3\times 29 \times 887

154638 = 2\times 3\times 3\times 11\times 11\times 71

154938 = 2\times 3\times 7\times 7\times 17\times 31

It is quite evident that N = 6 so that number becomes divisible by 3, 6 and 9.

6 0
2 years ago
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