Answer:
X= 3y-8
Where
X represent hours worked by Kelly
Y represent hours worked by Marcy
Step-by-step explanation:
Kelly works 8 hours less than three times as much as Marcy works for the week.
Let the number of hours worked by Kelly= x
Let the number of hours worked by Marcy= y
X= 3y-8
The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.
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Putting the given numbers in the area equation, you have
... 1300 = 70w -w²
Multiplying by -1 and completing the square, we have
... w² -70w +35² = -1300 +35²
... (w -35)² = 1225 -1300 = -75
Taking the square root shows us the solution is non-real.
... w - 35 = ±√(-75) = ±5i√3
... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.
The solution to the inequality 5x-3(x+1)<7 is x<5.
Step-by-step explanation:
Given inequality is;
5x-3(x+1)<7
Solving the inequality

Adding 3 on both sides both sides of inequality

Dividing both sides of inequality by 2

The solution to the inequality 5x-3(x+1)<7 is x<5.
Keywords: inequality, division
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The percentage of students who spend less than 4 hours a week on screens which reported a grade average below 80 is 50%
Given, we have the report representing children spending time online, on social media or watching T.V, which has there effect on there grades as above or below 80.
By the question we know that the number of students who spends less than 4 hours a week on screen is:
9 + 9
= 18
And among the 18 students there are 9 students whose grade average is below 80.
So the percentage of the students who spends 4 hours a week on screen is:
= 9 ÷ 18 × 100%
= 100/2
= 50%
hence 50% students spend less than 4 hours a week on screens.
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10 + 20 = 30 total balls.
Picking red = 10/30 = 1/3
After picking one ball there are 29 balls left.
Picking a yellow next is 20/29
Then there are 28 balls left and 19 yellow left, so picking another yellow would be 19/28
The probability of picking red first then two yellow = 1/3 x 20/29 x 19/28 = 95/609