If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.
Answer:
$161.50
Step-by-step explanation:
the revenue for an item of $85 with a 90% markup is $161.50
Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :

We also know that the probability of S given that H occurs is:

If two events S and H are independent then:

This mean that if two events S and H are independent then:


We know that:
and 

This means that S and H events are dependent.
The answer is the option B
Answer:
slope of line ax + by = c is -a/b
so, slope of 7x +2y =5 is -7/2
Answer:
The solutions will contain an infinite amount of negative numbers.