1/3+1/4 = 4/12 + 3/12 = 7/12
Answer:
- Circumference: 12.56 yd
- Area: 12.56 yd²
Step-by-step explanation:
The circumference is given by ...
C = πd
C = (3.14)(4 yd) = 12.56 yd
The area is given in terms of diameter by ...
A = (π/4)d²
A = (3.14/4)(4 yd)² = 12.56 yd²
Complete Question
Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true for n ≥ 18.
Show statements P (18), P (19), P (20), and P (21) are true, completing the basis step of the proof.
Answer:
P(18) is true
P(19) is true
P(20) is true
P(21) is true
Step-by-step explanation:
a. When n = 18
18 cents can be formed using two 7cents and one 4cents
i.e. 2 * 7 + 4 = 18
So, P(18) is true
b. When n = 19
19 cents can be formed using one 7cents and three 4cents
i.e. 1 * 7 + 3 * 4 = 19
So, P(19) is true
c. When n = 20
18 cents can be formed using five 4cents
i.e. 5 * 4 = 20
So, P(20) is true
d. When n = 21
18 cents can be formed using three 7cents
i.e. 3 * 7 = 21
So, P(21) is true
Answer:
I would say it's d (sorry if im wrong)
Answer:
x = 3/4
y = 2.5
Step-by-step explanation:
No there is just one.
Equate the ys
-2/3 x + 3 = 2/3 x + 2 Add 2/3 x to both sides
3 = 2/3 x + 2/3x + 2 Combine
3 = 4/3 x + 2 Subtract 2
3-2 = 4/3 x Multiply by 3
1 * 3 = 4x Divide by 4
3/4 = x
====================
y = 2/3 x + 2
y = 2/3 * 3/4 + 2
y = 6/12 + 2
y = 1/2 + 2
y = 2 1/2
y = 2.5