Answer:
4
Step-by-step explanation:
If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.
The second part tells us that Eden will be twice as old as Judge in two years.
This means that in two years: (Eden's age) = 2 * (Judge's age).
Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x
Simplify the equation:
x + 6 = 2x
6 = x = Judge's age (in two years)
If Judge is 6 two years later, then he must be 4 now.
To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.
In this question, the trail is 2940 miles long and Manfred is already hiking the 3/7 of the trail. You are asked how many miles he has a hike. Then to find it you just need to multiply the trail length with the ratio of hike/total trail. The calculation would be:
2940 miles * 3/7 = 1260 miles
Answer:
x = 6 y = -9 (I took a complicated route so if my explanation doesn't make sense It's fine)
Step-by-step explanation:
DAY = FUN
F = (7x+2y) = 24
If DAY = FUN then D = F making (7x + 2y) = 24
This means A = U so you have to find U with 24+126=150
A triangle is 180 degrees so you would do 180-150=30
U = 30
This also makes (8x+2y) = 30
8x + 2y = 30
-8x -8x
2y = 30 - 8x
Divide everything by 2
y = 15 - 4x
Doing this you can take 7x + 2y = 24 and plug in 7x + 2(15 - 4x) = 24
Multiply it 7x + 30 - 8x = 24
Add like terms -x + 30 = 24
Subtract 30 -x = -6
Divide by -1 x = 6
Now take one of the equations and plug it in 7(6) + 2y = 24
Multiply 42 + 2y = 24
Subtract 2y = -18
Divide by 2 y = -9
You haven't shown us his answer or any of his work, so we don't know
whether it was right or wrong, and we have no way to find his mistake
if his work was wrong.
(10 discs) / (5.49 dollars) = (10/5.49) disc/dollar = 1.821 disc per dollar
(5.49 dollars) / (10 discs) = (5.49/10) dollar/disc = 0.549 dollar per disc
