Answer:
44 years old
Step-by-step explanation:
Let the age of Jasper be j years old now.
<u>Now</u><u>:</u>
Jasper➣ j
Simon ➣ j/2
<u>1</u><u>2</u><u> </u><u>years</u><u> </u><u>ago</u><u>:</u>
Jasper➣ j -12
Simon➣ j/2 -12
Given that Simon's age=⅕(Jasper's age),
j/2 -12= ⅕(j -12)
<em>Multiply</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>
2.5j -60= j -12
2.5j -j= 60 -12
<em>Simplify</em><em>:</em>
1.5j= 48
<em>÷</em><em>1.5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
j= 48 ÷1.5
<em>Simplify:</em>
j= 32
<u>12 years time:</u>
Jasper➣ j +12
Thus, Jasper's age
= 32 +12
= 44
The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this:

. When we do that multiplication, we have

. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0.

. We can then factor out a 3 to make the job easier:

. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.
Her age after 11 years is 11x
Before 5 years her age is x-5
The lcm of 120 and 20 is 120!
20 = 2 x 2 x 5
120 = 2 x 2 x 2 x 3 x 5
LCM = 2 x 2 x 2 x 3 x 5
Answer:
AB = AC
so AB is Also 3.2
.............................