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Alexxandr [17]
3 years ago
8

Solve for x: x^2-14x+52=7 PLEASE HAVE EXPLANATION AND I WILL MARK BRAINLIEST

Mathematics
2 answers:
ale4655 [162]3 years ago
4 0

Answer:

x_1=9\\x_2=5

Step-by-step explanation:

To solve this problem, you must:

- Subtract 7 from  both sides of the equation:

x^{2}-14x+52-7=7-7\\x^{2}-14x+45=0

- Now, you can factor it. Choose two numbers whose sum -14 and whose product is 45. These numbers would be -9 and -5. Therefore, you obtain the following solution:

(x-9)(x-5)=0\\\\x_1=9\\x_2=5

Korolek [52]3 years ago
3 0

Answer:

<em>x1=9</em>

<em>x2=5</em>

Step-by-step explanation:

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adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an
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Adults = 9

Children = 2


Let x be the number of adults.

11-x is the number of children.


22x + 15(11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9  number of adults.


11 - x = 11 - 9 = 2 number of children.


To check:


22x + 15(11-x) = 228

22(9) + 15(11-9) = 228

198 + 30 = 228

228 = 228


(not my answer btw)

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3 years ago
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Estimate a 15% tip on a dinner bill of $72.13 by first rounding the bill amount to the nearest ten dollars?
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Step-by-step explanation:

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lily bought 6 skirts and 5 coats for a total of $452.62. if lily sister bought 3 skirts and 5 coats for $289.36, what was the pr
Vikentia [17]

Answer:

$26.02

Step-by-step explanation:

Let the price of a skirt be A and that of coat be B

Iilly bought 6 skirts and 5 coats for a total of $452.62

That’s

6A + 5B = 452.62

Also, Lilly’s sister bought 3 skirts and 5 coats for $289.36

That’s

3A + 5B = 289.36

We now have two equations

1 . 6A + 5B = 452.62

2. 3A + 5B = 289.36

Subtract equation two from equation one

We have

3A = 163.26

Divide both sides by 3

3A/3 = 163.26/3

A = 54.42

A = $54.42

Now substitute 54.42 for A in either equations to get B the price of a coat

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Subtract 326.52 from both sides

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B = 26.02

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A coat cost $26.02

3 0
3 years ago
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