So k=katie's' age
m=mara's age
k is 2 times as old as m
k=2m
sum is 24
add means sum
k+m=24
so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16
katie=16
mara=8
Answer:
<h2><u><em>
2.74 m</em></u></h2>
Step-by-step explanation:
<u><em>convert to meters</em></u>
6 dm = 0.6 m
40 mm = 0.04 m
2 m = 2 m
10 cm = 0.1 m
sum
0.6 + 0.04 + 2 + 0.1 =
2.74 m
We have 1 green and 8 non-green.
We get a probability of 8/9 of a non-green for the first marble and a probably of 7/8 for the second being non green, so
p = (8/9)*(7/8) = 7/9
Answer: 7/9
Answer:
-84i - 12i
Step-by-step explanation:
The distributive property is: a(b+c) = ab + ac
In this case, we have -6i(-14i+2)
-6i = a
-14i = b
2 = c
-6i(-14i+2) = -6i(-14i) + -6i(2)
= 84i^2 - 12i
= -84 - 12i
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:

The perimeter is 96 feet:

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

We can solve for w by plugging the other two values into the last:

Now we can find the length by plugging w into the first equation:

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

So we know our answer's correct