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Bingel [31]
2 years ago
7

Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she want

s to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy?
Mathematics
1 answer:
PolarNik [594]2 years ago
6 0
If x is the number of tickets, 420+35x<595
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In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo
Scorpion4ik [409]

Answer:

x=\frac{8}{3}\ cm

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

A=\frac{1}{2}(AB)(BC)

we have

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AB=(3x-2)\ cm

BC=(x+3)\ cm

substitute the values

17=\frac{1}{2}(3x-2)(x+3)

34=(3x-2)(x+3)

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The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

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x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2+7x-40=0

so

a=3\\b=7\\c=-40

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x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}

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x=\frac{-7(+/-)23} {6}

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therefore

The solution is

x=\frac{8}{3}\ cm

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