The distributive properties of addition and subtraction can be used to rewrite expressions for a variety of purposes. In each case, you are distributing the outside multiplier to each number in the parentheses, so that multiplication occurs with each number before addition or subtraction occurs.
First of all, we know that a nickel is worth 5 cents, and a penny is worth 1 cent. Let's figure out how many cents in nickels Paula has first.
We know she has 7 nickels, and each of them are worth 5 cents.
7 x 5 = 35.
Now that we know the value of Paula's nickels, let's figure out how many pennies she has left. Let's subtract the 7 nickels from the total 24 coins Paula has.
24 - 7 = 17.
Now that we know she has 17 pennies left, we know that each penny is worth a cent, so she has 17 cents worth of pennies. Let's add the 17 cents of pennies to the 35 cents of nickels.
17 + 35 = 52.
There you have it, Paula has a total of 52 cents in her drawer.
Hope this helped you out. :)
Answer:
f(x) = 1/4x +2
Step-by-step explanation:
The y-intercept formula is y = mx + b. b is the y-intercept. The line crosses the y-axis at 2, so the y-intercept is 2. m is the slope and it is rise/run (rise over run). It rises (from the y-axis) once and runs 4 times. Therefore, the slope is 1/4. The equation is f(x) = 1/4x +2.
ANSWER
EXPLANATION
a. We want to find the coordinates on the unit circle that corresponds to an angle of 0°
In general, the points on the unit circle are given by,
So we substitute,
to obtain,
b. For the coordinates of the point on the unit circle that corresponds to an angle of 90º,
We substitute
to obtain,
This simplifies to,