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amid [387]
2 years ago
3

Lisa and Daisy work at a hair salon. The salon charges $18 for a hair styling session with Lisa and $12 for a session with Daisy

. The income on a certain day is projected to be $216. This situation can be represented by the equation 18x + 12y = 216, where x is the number of Lisa's customers and y is the number of Daisy's customers. How many customers would Lisa need to serve to attain the projected income if Daisy calls in sick that day? (Note: x ≥ 0, y ≥ 0, and x and y take only integer values.)
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
6 0
Lisa would need to attend to 12 customers to attain the projected income.
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evaluate f(6) and f(6.1) and use the results to approximate f '(6). (round your answer to one decimal place.) f(x) = x(5 − x)
mote1985 [20]
F(6) = 6(5 - 6) = 6(-1) = -6
f(6.1) = 6.1(5 - 6.1) = 6.1(-1.1) = -6.71

f'(6) ≈ (-6.71 - (-6))/(6.1 - 6) = -0.71/0.1 = -7.1
4 0
2 years ago
Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day
prohojiy [21]
I think that Devon swam at least 35 minutes each day for 5 days because if he exercised 225 minutes and each day he walked for 10 minutes then if you divide 225 by 5 you get 45 so every day he exercised 45 minutes and since he walked for 10 minutes you subtract 10 from 45 which gives you 35 so he swam for 35 minutes.
8 0
2 years ago
Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total
zalisa [80]
Hope this helps but I think it might be:
Part A: c=0.75p
the cost of shipping for 2 pounds
c=0.75p
c=0.75*2
c=$1.50
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6 0
2 years ago
A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when staring at the top of the stat
Lyrx [107]

Answer:

h=50.25\ ft

Step-by-step explanation:

<u>Right Triangles </u>

In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including

\displaystyle tan\alpha=\frac{a}{c}

where a is the opposite leg to \alpha and c is its adjacent led .

In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.

The height of the statue is h=a+b, where

a=50tan8^o

b=50tan14^o

Thus

h=50tan8^o+50tan14^o

h=50(tan8^o+tan14^o)

\boxed{h=50.25\ ft}

5 0
2 years ago
A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the
Nonamiya [84]

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}

Hence, Height of the kite from the ground is 29.2 feet.

7 0
2 years ago
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