Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.
The formula for finding the area of a circle is
a = pi × radius^2
Since the diameter is 14 inches, the radius is 7 inches, so to solve...
a = pi × 7^2
a = 3.14 × 49
a = 153.86
Rounded to the nearest tenth...
153.9 inches^2
Answer:
1) -15/32
2) 2/15
3) -203.5
4) -3/2 = -1.5
5) 10/3 = 3 1/3
Step-by-step explanation:
For 1, you just multiply the numerators and denominators together (3 by 5, 4 by 8) and then because it is negative, add the negative sign.
For 2, you multiply again, but because there are 2 negative signs, it becomes positive.
For 3, you divide 81.4 by 0.4, you could also divide 814 by 4.
For 4, you keep change flip, so the equation would become -9/4 (-2 1/4=-9/4) and 3/2 would become 2/3. The equation would be (-9/4 * 2/3). Then, you would get -18/12 which is -3/2.
For 5, you just multiply 4/3 by 5/2 which is 20/6 and because 2 negatives, it becomes positive.
