A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15.00 for any other services. Write a function to model the cost of services there and then evaluate it if you also get a shampoo, highlight, and blow dry.

Final answer:

To solve the quadratic word problem, we set up the equation x - 8/x = 2 and simplify it to x^2 - 2x - 8 = 0. Using the quadratic formula, we find two possible values for x: -2 and 4.

Explanation:

To solve this quadratic word problem, we set up the equation: x - 8/x = 2. To simplify the equation, we multiply both sides by x to eliminate the denominator: x^2 - 8 = 2x. Rearranging the equation, we get x^2 - 2x - 8 = 0. To find the solutions, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a). Substituting the values from our equation, we have x = (2 ± √(2^2 - 4(1)(-8))) / (2(1)). Solving the equation, we find two possible values for x: x = -2 or x = 4.

Answer:the answer is two double check i could be wrong

Step-by-step explanation:1 x 1 x 1 + 1 / 1 = 2

Ththe weight of Lior in 1990 in terms of k is [tex]\frac{4}{5} k[/tex]

Let the weight of Lior in 1980 be "w"

If Lior's weight increased by 25%, his new weight was "k". This can be expressed as:

w + (25% of w) = k

w + (0.255w) = k

w + 0.15w = k

1.25w = k

Divide both sides by 1.25

[tex]\frac{1.25w}{1.25} =\frac{k}{1.25} \\w=\frac{k}{1.25} \\w=\frac{100k}{125} \\w=\frac{4}{5}k[/tex]

This shows that the weight of Lior in 1990 in terms of k is [tex]\frac{4}{5} k[/tex]

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(-10.3)(2)x = 4(-10.3)(2)

cross out the same terms on both sides and you end up with x =4

Answer:

2.5 m/s

Step-by-step explanation:

we have given that Matty jogs 9 km/hr

we have to convert 9 km/hr to m/s

we know, 1 km= 1000 m

and 1 hr= 60 minutes and  1 minute= 60 seconds

which implies that 1 hr=60 x 60 = 3600 seconds

now, to convert km/hr into minute/second we have to multiply it by  1000/3600  or 5/18

i.e. 9×1000/3600= 5/2=2.5 m/s

To calculate the second moment of area for a 4-inch diameter shaft about the x-x and yy axes, we use the formula I = π * d^4 / 64 and find that I = 4 * π in´ for both axes.

The student is asking for the calculation of the second moment of area, also known as the moment of inertia, for a shaft with a 4-inch diameter about both the x-x and yy axes.

The moment of inertia of a circular cross-section about its centroidal axis is calculated using the formula I = π * d^4 / 64, where d is the diameter of the shaft. In this case, the diameter d is given as 4 inches.

To calculate the second moment of area for the 4-inch diameter shaft, we substitute the diameter into the formula to get:

I = π * (4 in)^4 / 64 = π * 256 in´ / 64 = 4 * π in´.

So, the moment of inertia for both the x-x and yy axes would be the same and equal to 4 * π in´, since the shaft is symmetrical about these axes.

Answer:

58.3%  

Step-by-step explanation:

The percent decreased in the hours of television watched is 58.3%.

A percentage is a number or ratio that can be expressed as a fraction of 100. Also called per centum. one one-hundredth part; 1/100. percentage.

Given that, in 2002, the students watched an average of 12 hours of television per week. In 2012, the number of hours spent watching television decreased to 5 hours per week

We need to find the percent decrease in the hours of television watched,

Percent decreased = Difference in the initial and final quantity / initial quantity × 100

Percent decreased = 12-5 / 12 × 100 = 7/12 × 100

= 58.3%

Hence, the percent decreased in the hours of television watched is 58.3%

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we know that

A unit rate is a ratio between two different units with a denominator of one

In this problem to find the unit rate divide the total distance by the total time

so

[tex]\frac{822.6}{18} \frac{Km}{hours}= 45.7\frac{Km}{hour}[/tex]

therefore

the answer is

The unit rate is equal to [tex] 45.7\frac{Km}{hour}[/tex]

divide 26 by 5

26 /5 = 5.2

 so 5 full boxes

5*5 = 25

26-25 = 1

 so 5 full boxes and 1 single widget

For an order of 26 widgets with each box containing 5 widgets, you would pull 5 full boxes and still need 1 more single widget.

To solve this problem, we need to find out how many full boxes of 5 widgets we can make from 26 widgets and how many single widgets we will have left. Whole number quantities, such as the number of widgets and boxes, are important here. First, we divide 26 by 5 to find out the number of full boxes. This gives us 5 full boxes with a remainder of 1, which means we have one widget left. So, we pull 5 full boxes and still need 1 more single widget.

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Final answer:

To find the probability that the number of unspoiled eggs among the 6 selected is X, we can use the hypergeometric probability formula. This formula is used when the sample drawn is without replacement from a finite population.

Explanation:

To find the probability that the number of unspoiled eggs among the 6 selected is X, we can use the hypergeometric probability formula. This formula is used when the sample drawn is without replacement from a finite population. In this case, we have 18 total eggs in the carton, with 9 spoiled eggs. So the probability that X unspoiled eggs are selected out of the 6 can be calculated as:

P(X) = (C(X,6) * C(9,6)) / C(18,6)

Where C(n,r) represents the combination of n things taken r at a time.

divide the total spent by 5 to get what 1/5 is

37.60 / 5 = 7.52

 they spent $7.52 on other items

The post office sold 2000.

To find out how many 14-paisa stamps the post office sold to make Rs.280, we need to follow a step-by-step solution.

28000 paisas ÷ 14 paisas per stamp = 2000 stamps.