Answer:
-1
Step-by-step explanation:
First, find g(3), g(3) is 5.
Next, plug in 5 for g(3).
So we have f(5), f(5) is -1
If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.
If the final equation is a true equation, like 3=3, then the system has an <em>infinite number of solutions </em> (the equations graph the same line, and all points appear on both graphs)
If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)
This is a multiplication of fractions. If the tank is 3/4 full, and the tank holds 14.5 gal, then we need to multiply 14.5 * 3/4 First, convert 14.5 to 14 1/2 = 29/2 as an improper fraction Now, we have 29/2 * 3/4 = 87/8 = 10 7/8 gal That's how much gas is in the tank now. However, we want to know how much is needed to fill the tank. That can be determined by subtracting 10 7/8 from the amount that the tank can hold when full, which is 14.5 or 14 1/2. 14 1/2 - 10 7/8 can be re-written using improper fractions 29/2 - 87/8 We need a common denominator, which is 8 116/8 - 87/8 = 29/8 = 3 5/8 gal That's how much is needed to fill the tank
Answer: the fractional increase is 1/5
Step-by-step explanation:
The initial area of Julio's living room was 1000 sq. ft. Then he added a room that was 20 ft. by 10 ft. The area of the room that was added to the living room would be
20 × 10 = 200 square feet
The new area of the room would be
1000 + 200 = 1200 square feet
Therefore, the fractional increase of the living space would be
Increase in area/original area
It becomes
200/1000 = 1/5
Answer:
The total number of ways to select 9 women and 4 men for the committee is 50,050.
Step-by-step explanation:
The club has 13 female members and 8 male members.
The committee to be formed must have 9 female members and 4 male members.
The possible number of ways to select 9 female from 13 females is:
The possible number of ways to select 4 male from 8 males is:
Compute the possible total number of ways to select 9 women and 4 men for the committee as follows:
Total number of ways to select 9 women and 4 men = n (F) × n (M)
Thus, the total number of ways to select 9 women and 4 men for the committee is 50,050.
