Answer:
720 pennies
Step-by-step explanation:
Initially the Penny bank is 1/2 full
After removing 120 pennies it is 1/3 full;
Therefore. the fraction equivalent to 120 pennies is;
1/2 -1/3 = 1/6
Thus; Assuming the number of pennies that the penny bank can hold when full is x; then;
1/6 of x = 120
x = 120 × 6
= 720 pennies
Hence, when the penny bank is full it can hold 720 pennies.
Answer:
x = 5/6
Step-by-step explanation:
First, you would take 9x+4=3x+9 and cross out "3x" and change 9x to "6x". Now you have something like this: 6x+4=9. 9 minus 4 equals 5. So, 6x=5. To figure out x, we have to take 5 and divide by 6, to get x=5/6.
Answer:
2
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.
Thus:
(x + 5)×12 = x × 18
Solve for x
12x + 60 = 18x
Subtract 12x from each side
12x + 60 - 12x = 18x - 12x
60 = 6x
Divide both sides by 6
60/6 = 6x/6
10 = x
x = 10
Answer: 
Step-by-step explanation:
We can list the possible rational roots of this polynomial using the Rational Root Theorem. This theorem states that all the possible rational roots of an equation follow the structure
, where <u>p is any of the factors of the constant term and q is any of the factors of the leading coefficient</u>.
In this example, -15 is the constant term and 1 is the leading coefficient (
has a coefficient of 1).
The factors of -15 are
, while the factors of 1 are
. <em>p </em>is can be any one of the factors of -15, while <em>q</em> can be any of the factors of 1.

The possible roots can be any of the numbers on the top divided by any of the numbers on the bottom. Since dividing by 1 or -1 won't change any of the numbers on the top, the rational roots of this function are
.