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ozzi
3 years ago
12

A hairstylist schedules 14 hour to trim a customer's hair and 16 hour to style the customer's hair. The hairstylist plans to wor

k 3 13 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?
Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

40 customers

Step-by-step explanation:

Trimming = 1/4 hours

Styling = 1/6 hours

Working hours per day = 3 1/3 hours

Working days per week = 5

Total work time per week :

3 1/3 * 5 = 10/3 * 5 = 50 / 3 hours

Time taken for styling and trimming :

1/4 + 1/6 = (3 + 2) / 12 = 5/12

Number of appointments stylist can schedule each week :

Total work time / time taken per person

(50 / 3) ÷ (5 / 12)

(50 /3) * (12 /5)

(50 * 12) / (3 * 5)

= 600 / 15

= 40

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AysviL [449]

3. -x²+-4x+-8

To solve:

−4x−5+−1(x²+3)

−4x+−5+−1x²+(−1)(3)

−4x+−5+−x²+−3

Combine like terms.

−4x+−5+−x²+−3

(−x²)+(−4x)+(−5+−3)

5.

It is not in standard form since this answer does NOT have x=, y=, #=. It only has the numbers. So, this is NOT in standard form.

6 0
3 years ago
PLZ HELP !
max2010maxim [7]

Answer:

13 cm

Step-by-step explanation:

The diagonal of a rectangle forms a right triangle; where the diagonal is a hypotenuse, and two sides of the rectangle are legs.

Using pythagorean's theorem (a^2 + b^2 = c^2), we can say:

5^2 + 12^2 = c^2\\25 + 144 = c^2\\169 = c^2\\13 = c

The hypotenuse is equal to 13cm.

3 0
3 years ago
What is the value of x 3x 2x 55
Juli2301 [7.4K]

Answer:

25

Step-by-step explanation:

3x+2x+55=180

5x+55=180

5x=180-55

5x=125

X=125/5

X=25

So the value of X is 25

8 0
3 years ago
Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0
3 years ago
What is seven hundred thirty-one million, nine hundred thirty-four thousand, thirty in standard form
Sindrei [870]
731,934,030


please mark the brainiest
6 0
3 years ago
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