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meriva
3 years ago
9

Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how m

any hours does he need to tutor to make more than $190? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.
At least how many hours does Trevor need to tutor to make more than $190? Please express the answer as a decimal number.
Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

Step-by-step explanation:

Let M = total amount of money earned

M = 12x+8y

To make more than $190, the equation is:

190<12x+8y

Since Trevor is going to scoop ice cream for 20 hours, the equation is:

190<12x+8(20), which simplifies to 190<12x+160.

Isolate x to find the amount of hours that Trevor needs to tutor.

190-160<12x

30<12x

30/12<x

2.5<x

Trevor must tutor for more than 2.5 hours to make more than $190.

Lesechka [4]3 years ago
3 0

Answer:

x > 2.5 hrs

Step-by-step explanation:

12x + 8(20)= 190

  12x + 160 = 190

   12x = 30

    x > 2.5 hrs

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What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

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Answer:

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Step-by-step explanation:

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