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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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Umnica [9.8K]

Answer:

D. 70.34 cm^2

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

area = \frac{56}{360}*3.14*12^2

area = 70.34

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3 years ago
You produce 100 items and 47 of them will be shipped out of state. What percent of the items will be shipped out of state?
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47%.
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3 years ago
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Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot
Morgarella [4.7K]

A. Solution set is in the attachment (dark green shading in the middle)

B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15

5 + 1 > 3, 6 is greater than 3

C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches

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\large -\frac{2}{3}x+3=\frac{2}{3}x+\frac{1}{3}
german

Answer:

\boxed {x = 2}

Step-by-step explanation:

Solve for the value of x:

-\frac{2}{3}x + 3 = \frac{2}{3}x + \frac{1}{3}

-Take \frac{2}{3}x and subtract it from -\frac{2}{3}x:

-\frac{2}{3}x + 3 -\frac{2}{3}x = \frac{2}{3}x - \frac{2}{3}x + \frac{1}{3}

-\frac{4}{3}x + 3 = \frac{1}{3}

-Subtract both sides and convert 3 to a fraction:

-\frac{4}{3}x + 3 - 3 = \frac{1}{3} - 3

-\frac{4}{3}x  = \frac{1}{3} - \frac{9}{3}

Since both \frac{1}{3} and \frac{9}{3} have the same denominator, then you would subtract the numerator:

-\frac{4}{3}x  = \frac{1 - 9}{3}

-\frac{4}{3}x  = \frac{8}{3}

-Multiply both sides by -\frac{3}{4}, which is the reciprocal of -\frac{4}{3}:

x = \frac{8}{3} (-\frac{3}{4})

x = \frac{-8(-3)}{3 \times 4}

x = \frac{24}{12}

-Divide 24 by 12:

x = \frac{24}{12}

\boxed {x = 2}

So, therefore, the value of x is 2.

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3 years ago
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