Please answer 8,9,10,11,12 by showing all of your work make sure all of the answ

Question

Please answer 8,9,10,11,12 by showing all of your work make sure all of the answers is fully correct.

8. The length of rectangle is three more than its width. If the perimeter is 46 feet, what are the dimensions of the rectangle. A) 10 by 7 B) 43 by 3 C) 12 by 11 D) 13 by 1 9. Tickets to a concert were sold at $10.00 for Adults and 56.00 for children. If 390 tickets were sold and the revenue received was $2860.00, how many adult tickets were sold? A) 260 B) 195 C) 290 D) 130 10. Solve the inequality-15(x +4) 2 100x 4) and write your solution in interval notation. B)(-0,-41 C) 14, o) D) (-00,4) 11. Solve for x: -5 +3-10 A)-2, 12 B) 2,-12 C) 2, 12 D) 12 12. Solve the system of equation by the elimination method: x2y-2 2x+3y =-2 A)x -10 y 6 D) x--12 y- -2

Explanation / Answer

8.Given that,

width = w

length = w+3

Perimeter = 46

We knwo that,

Perimeter = 2*(length + breadth)

46 = 2*(w+3+w)

46 / 2 = 2w + 3

23 = 2w + 3

2w = 23-3

2w = 20

w = 20/2 =10

Lenth = w+3 = 10+3 = 13

So dimensions are 13 by 10.

10. SOlve the inequality.

-15(x+4) >= 10(x+4)

-15x -60 >= 10x+40

-15x - 10x >= 40 + 60

-25x >= 100

x > = -100/25

x >=-4

That means x can take any value between -4 and infinity.

So the solution interval is (-4, infinity)

11) SOlve for x.

| x-5 | + 3 = 10

Mod function is defined as,

y=f(x)=|x|.

It is defined as f(x)=x for x>0 and

f(x)=?x for x<0

Therefore there are two solution values.

For x > 0 ,

| x-5 | + 3 = 10 becomes x-5 + 3 = 10

x -2 = 10

x = 2+10 = 12

For x < 0,

| x-5 | + 3 = 10 becomes -(x-5) + 3 = 10

-x + 5 +3 = 10

-x + 8 = 10

-x = 10-8 = 2

x = -2

So the solution is (-2,12)

12. Solve the equation by using elimination method.

x + 2y = 2 ----- i)

2x + 3y = -2 ------ii)

multiply equation i) by 2 and subtract iii) - i)

2x + 4y = 4

2x + 3y = -2

------------------------

(2x - 2x) + (4y-3y) = (4-(-2))

y = 6

Substitute y = 6 in equation i)

x + 2y = 2

x + 2*6 = 2

x + 12 = 2

x = 2-12 = -10

x = -10, y = 6

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.