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marysya [2.9K]
3 years ago
8

a hairstylist schedules 1/4 hour to trim a customers hair and 1/6 hour to style the customers hair. the hairstylist plans to wor

k 3 1/3 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? (show work)
Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
So a trim lasts 1/4*60=15 minutes and a style lasts 1/6*60=10 minutes.
If we add these together, 15+10=25 minutes that is how long each customer takes.
In one day she works for 3 1/3*60=200 minutes in total, so can fit in 200/25=8 appointments per day.
So in 5 days she can have 8*5=40 total appointments each week.
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The perimeter of a rectangle is 63cm. The length is 4cm more than its width. Find the dimensions of the rectangle
amm1812

O=63cm

a=b+4

O=2a+2b

O=2(b+4)+2b

O=2b+8+2b

63=4b+8

4b=63-8

4b=55

b=55/4=13.75

a=13.75+4=17.75

6 0
3 years ago
Find the centroid of the region bounded by y = 3x^2, y = 0, x = 4
ANTONII [103]
To determine the centroid, we use the equations:

x⁻ = 1/A (∫ (x dA)) 
y⁻ = 1/A (∫ (y dA)) 

First, we evaluate the value of A and dA as follows:

A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3  from 0 to 4
A = 64

We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA)) 
x⁻ =  1/64 (∫ (x (3x^2 dx))) 
x⁻ =  1/64 (∫ (3x^3 dx)
x⁻ =  1/64 (3 x^4 / 4) from 0 to 4
x⁻ =  1/64 (192) = 3

y⁻ = 1/A (∫ (y dA)) 
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx))) 
y⁻ = 1/64 (∫ (9x^4 dx) 
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5

The centroid of the curve is found at (3, 144/5).
7 0
2 years ago
Factorise the following :<br>​
timurjin [86]

Answer:

2.

x³+2x²+5x+10

x²(x+2)+5(x+2)

taking common

(x+2)(x²+5) is your answer

a³-a²b²-ab+b³

taking common

a²(a-b²)-b(a-b²)

taking common

(a-b²)(a²-b)

5 0
2 years ago
Read 2 more answers
Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)​
mixer [17]

Answer:

17(x-2)

Step-by-step explanation:

Given the expression

17x - 34

We are to factorize it

Get their factors

17x = 17 * x

34 = 17 * 2

Since 17 is common to both factors, hence 17 is the GCF

17x - 34 = 17(x - 2)

Hence the equivalent expression is 17(x-2)

8 0
3 years ago
10 points pls answer this is due tonight
lilavasa [31]
1.12 2.60 hope this helps if it is wrong then I’m sorry
5 0
3 years ago
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