We'll do the distribute property for both.
1/2x6x=3x
1/2x-10= -5
SO....
3x-5+ -4x +30
Which is
-x + 25 or 25-x.
Hope this helps!
A. So we know that a 6 foot figure casts a shadow 4 feet long. 4 foot shadow x 5 = a 20 foot shadow. So this means we take 6 x 5 = 30, and the tree is 30 feet tall.
B. 30 - 6 = 24 feet taller than Frank
Answer:
a) (2,4)
Step-by-step explanation:
it's where the points meet
This appears to be just an expression we are simplifying, not an equation we are solving. I THINK you are saying that the expression looks like this:

If you rationalize the denominator, you would get this expression:

which, after simplifying, looks like this:

and that's as simple as I can see that one getting. You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)