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viktelen [127]
3 years ago
11

Determine the number of solutions for this equation. 9x−5=7x+15

Mathematics
1 answer:
o-na [289]3 years ago
5 0
I hope this helppppppppppppppppp

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Make m the subject in a(c+m)=2(c+3m)
Murrr4er [49]

Answer:

m = \frac{2c-ac}{a-6}

Step-by-step explanation:

distribute parenthesis on both sides

ac + am = 2c + 6m ( collect terms in m on left side )

subtract 6m from both sides

ac + am - 6m = 2c ( subtract ac from both sides )

am - 6m = 2c - ac ( factor left side )

m(a - 6) = 2c - ac ( divide both sides by (a - 6))

m = \frac{2c-ac}{a-6}


3 0
3 years ago
a doctors office surveyed their patients on wait time satisfaction, with a scale of 1bto 5. The data listed below are the report
liubo4ka [24]

Answer:

See Attached

Step-by-step explanation:

The survey on wait time satisfaction for patients at a doctor's office generated the reported scores below.

1,3,2,3,3,4,4,1,5,3,3,3,4,4,5,2,2,2,1,1

First we sort making sure the total number of scores equal 20:

1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5

  • Frequency of 1=4
  • Frequency of 2=4
  • Frequency of 3=6
  • Frequency of 4=4
  • Frequency of 5=2

Next, we draw the dot plot which is attached below.

7 0
3 years ago
Find the equation of the line through point (2,−4) and parallel to −6x+2y=4. Use a forward slash (i.e. "/") for fractions (e.g.
chubhunter [2.5K]

Answer:

y = 3x - 10

Step-by-step explanation:

Step 1: Rewrite 1st equation

2y = 6x + 4

y = 3x + 4

Step 2: Find 2nd equation

y = 3x + b

-4 = 3(2) + b

-4 = 6 + b

b = -10

Step 3: Rewrite 2nd equation

y = 3x - 10

And we have your parallel equation!

5 0
3 years ago
A blackjack is a 10-point card and an ace for a value of 21. Use your answers to parts (a), (b), and (c) to determine the probab
kondor19780726 [428]

Answer:

Results:

0.1432

0.0045

0.0905

0.0483

Step-by-step explanation:

Step a:

P(A or 10, A or 10) = 20/52 * 19/51 = 5/13 / 19/51 = 95/663 = 0.1432

Step b:

P(A A) = 4/52 * 3/51 = 1/13 * 1/17 = 1/221 = 0.0045

Step c:

P(10 10) = 16/52 * 15/51 = 4/13 * 5/17 = 20/221 = 0.0905

Step d:

P(A 10 or 10 A) = 2 * 4/52 * 16/51 = 2/13 * 16/51 = 32/663 = 0.0483

As well we get the probability by subtracting a,  b and c:  

P(blackjack): 0.1432 - 0.0905 - 0.0045 = 0.0482  

7 0
3 years ago
A club is selling hats and jackets as a fundraiser. Their budget is $1500, and they want toorder at least 250 items. Each hat co
Tom [10]

Let H be the number hats and J the number of jackets. Then, we can write,

5H+8J\le1500

Now, since they want 250 items at least, we can write

H+J\le250

Hence, the system of inequalities is

\begin{gathered} 5H+8J\le1500 \\ H+J\le250 \end{gathered}

6 0
1 year ago
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