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Finger [1]
2 years ago
15

Darcy gave her nail technician a ​$5.40 tip. The tip was 20% of the cost of the manicure Write an equation to find​ b, the cost

of the manicure
Mathematics
1 answer:
Vitek1552 [10]2 years ago
3 0

Answer:

Cost of the manicure= $27

Step-by-step explanation:

Giving the following information:

Darcy gave her nail technician a ​$5.40 tip. The tip was 20% of the cost of the manicure

<u>To calculate the cost of the manicure, we need to use the following formula:</u>

Cost of the manicure= tip / tip percentage

Cost of the manicure= $27

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Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tick
love history [14]
Let 
 x:adult tickets
 y:youth tickets  
 We have 
 2x+3y=134
 3x+2y=146
 Rewritting
 6x+9y=402
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 adding
 5y=110
 Clearing y:
 y=110/5
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 Answer:
 the price of a youth ticket is 22$
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For the following pair of functions, find (f+g)(x) and (f-g)(x).
ch4aika [34]

Given:

The functions are

f(x)=4x^2+7x-5

g(x)=-9x^2+4x-13

To find:

The functions (f+g)(x) and (f-g)(x).

Solution:

We know that,

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x^2+7x-5-9x^2+4x-13

(f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)

(f+g)(x)=-5x^2+11x-18

And,

(f-g)(x)=f(x)-g(x)

(f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)

(f+g)(x)=4x^2+7x-5+9x^2-4x+13

(f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)

(f-g)(x)=13x^2+3x+8

Therefore, the required functions are (f+g)(x)=-5x^2+11x-18

and (f-g)(x)=13x^2+3x+8.

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