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erik [133]
3 years ago
14

a hairstylist can serve a maximum of 12 customers each day he works. he charges $15 for a child haircut and $24 for an adult hai

rcut. the hair stylist would like to earn a minimum of $240 each day. if x represents children haircuts and y represents adults write as any inequalities as possible
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0
Answer:
x + y ≤ 12 
15x + 24y ≥ 240

Explanation:
The number of children is represented by x and the number of adults is represented by y.

We are given that:
1- The hairstylist can serve a maximum of 12. This means that the summation of x and y should not exceed 12. Therefore:
x + y ≤ 12

2-  The cost per child (x) haircut is $15 and that the cost per adult (y) is $24.
We are also given that the hairstylist would like to earn a minimum of $240.
This means that the earnings could be more than $240. Therefore:
15x + 24y ≥ 240

Since we are not given any further information, therefore, the maximum number of inequalities that can be formed is two.

Hope this helps :)

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Xelga [282]

The solution is: x=2, y=-2

Step-by-step explanation:

Given equations are:

6x+2y=8         Eqn 1

12x+y=22       Eqn 2

Multiplying Eqn 1 by 2

2(6x+2y)=2(8)\\12x+4y=16      Eqn 3

Subtracting Equation 2 from eqn 3

12x+4y-(12x+y)=16-22\\12x+4y-12x-y=-6\\3y=-6\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{-6}{3}\\y=-2

Putting y=-2 in eqn 2

12x-2=22\\Adding\ 2\ on\ both\ sides\\12x-2+2=22+2\\12x=24\\Dividing\ both\ sides\ by\ 12\\\frac{12x}{12} = \frac{24}{2}\\x=2

The solution is: x=2, y=-2

Keywords: Linear equations, Elimination Method

Learn more about elimination method at:

  • brainly.com/question/9738996
  • brainly.com/question/10015690

#LearnwithBrainly

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3 years ago
Diagram for 19x50<br><br> Right answers only
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Answer:

950?

Step-by-step explanation:

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E line plot below shows the amount of water Rickayla drinks in 10 days. Part a: how many cups of water did Rickayla drink in 10
Levart [38]

Answer:

Total = 23\frac{1}{4} cups

Step-by-step explanation:

Incomplete question.

See attachment for line plot

Required

Total cups drank in 10 days

The number of x at the top of each dataset represent the frequency (i.e. number of cups) drank on that day.

To get the total, we simply multiply this frequency by the accompanying dataset.

So, we have:

Total = 2 * 1\frac{1}{2} + 1 * 1\frac{3}{4} + 2 * 2 + 2 * 2\frac{3}{4} + 3 * 3

Express fractions as improper fraction

Total = 2 * \frac{3}{2} + 1 * \frac{7}{4} + 2 * 2 + 2 * \frac{11}{4} + 3 * 3

Evaluate each product

Total = 3 + \frac{7}{4} + 4 + \frac{11}{2} + 9

Take LCM

Total = \frac{12+ 7+16+22+36}{4}

Total = \frac{93}{4}

Total = 23\frac{1}{4}

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Find the exact value of the indicated trigonometric function of θ.
Mariana [72]

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

8 0
2 years ago
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