Answer:
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Step-by-step explanation:
We need to find the amount each university gets.
Let
Northern U get n
Western U get w
Eastern U get e
We can write equations from the given word problem:
n + w + e = 110
and
n = 2w
e = n + w - 10
Putting 2nd in 3rd, we get:
e = 2w + w - 10
e = 3w - 10
Now putting this and 2nd in first, we solve for w:
n + w + e = 110
2w + w + 3w - 10 = 110
6w = 120
w = 20
AND n = 2 (20) = 40
AND e = 3(20) - 10 = 50
So,
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Answer:
To help in solving exponential equations when relating the bases cannot be used
Step-by-step explanation:
Recall an equation of the form
from the expression 
, 
is the base and the power is 
.
it is impossible to carryout the operation since the bases are not equal.
This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below
.
Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.
Answer:
-3x-12
Step-by-step explanation:
-10x-4-8+7x
-3x-4-8
-3x-12
Answer:
4y
Step-by-step explanation:
y - -3y
Subtracting a negative is like adding
y+3y
Combine like terms
4y
Answer:
45
135
Step-by-step explanation:
x-y = 90
x = 3y
3y - y = 90
2y = 90
y = 45
x = 3×45 = 135
