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irina [24]
3 years ago
12

A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Kate wants to buy two shirts pric

ed at $19 each. How much will she pay?
Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

$32.3

Step-by-step explanation:

First write 30% in the decimal form

30/100 = 0.3

than the equation written in the form

x = 19 + (19 - 0.3× 19)

x = 19 + ( 19 - 5.7)

x = 19 + 13.3

x =$ 32.3

So, Kate will pay $32.3

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<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-22x%3D10%5C%5C" id="TexFormula1" title="x^{2} -22x=10\\" alt="x^{2} -22x=10\\"
Ronch [10]

Answer:

Step-by-step explanation:

x^2 - 22x = 10

Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

x^2 - 22x + (22/2)^2 = 10 + (22/2)^2

x^2 - 22x + (11)^2 = 10 + (11)^2

x^2 - 22x + (11)^2 = 10 + 121

x^2 - 22x + (11)^2 = 131

x^2 - 22x + 121^2 = 131

(x - 11)^2 = 131

Taking square root of both the left hand side and the right hand side of the equation, it becomes

x - 11 = ±√131

x - 11 = ±11.45

Adding 11 to the left hand side and the right hand side of the equation, it becomes

x - 11 + 11 = ±11.45 + 11

x = 11.45 + 11 or x = -11.45 + 11

x = 22.45 or x = - 0.45

5 0
4 years ago
The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected
never [62]
The formula is
P=Ae^rt
P ?
A 430
R 0.9/100=0.009
T time 2010-2000=10 years
E constant
P=430×e^(0.009×10)
p=470
5 0
3 years ago
Based on the data, is there a clear association between having been on an airplane and having visited another country?
Roman55 [17]

Answer:

If you have exited the country, you most likely took a plane. Therefore yes there is an association between having been on a airplane and visiting another country.

(Also do u go to CCA? Bc I had the same q on my math quiz in Mrs.Pfeiffer's class)

4 0
3 years ago
in the school chorus,2/5 of the students are fourths graders and 1/3 of the students are fifth graders.If there 45 students in c
yulyashka [42]

Answer:

18 students in 4th grade

15 students in 5th grade

Step-by-step explanation:

1/3 of 45 = 15 students in 5th grade

2/5 of 45 = 18 students in 4th grade

3 0
3 years ago
What are the real roots of 2x^3+9x^2+4x-15=0
klemol [59]
Well, luckily it is apparent that (x-1) is a root because when x=1 the equation is equal to zero.  So we can divide the equation by that factor to find the other roots. 

(2x^3+9x^2+4x-15)/(x-1)
2x^2  r  11x^2+4x-15
11x    r  15x-15
15     r   0

(x-1)(2x^2+11x+15)=0

(x-1)(2x^2+6x+5x+15)=0

(x-1)(2x(x+3)+5(x+3))=0

(x-1)(2x+5)(x+3)=0

So the roots are x= -3, -2.5, 1
8 0
4 years ago
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