Answer:
So the number of total combinations is 35.
Step-by-step explanation:
We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.
Therefore, she have total 7 courses.
So, we calculate the number of combinations to choose 4 out of 7 courses.
We get:

So the number of total combinations is 35.
Answer:
A . (2,4)
Step-by-step explanation:
Let's solve for x.
x+2y≤4
Step 1: Add -2y to both sides.
x+2y+−2y≤4+−2y
x≤−2y+4
Answer:
x≤−<u>2</u>y+<u>4</u>
The nominal rate to plug in will be 0.085.
Given to us, the nominal rate is 8.5%,
The value to plug into your equation,
The equation can be simple interest or compound interest in both cases the value of the nominal rate to the plugin will be the same.
Thus, the nominal rate is 8.5% can be written as

Hence, the nominal rate to plug in will be 0.085.
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2(4z - 6 - 6) = 170 - 46
2(4z - 12) = 124 |use distributive property: a(b - c) = ab - ac
8z - 24 = 124 |add 24 to both sides
8z = 148 |divide both sides by 8
z = 18.5