Step-by-step explanation:
Perimeter = 2 * (Side A + Side B)
= 2 * (3x + 2 + x - 5)
= 2 * (4x - 3)
= 8x - 6.
We have 8x - 6 = 50, so 8x = 56 and x = 7.
Length of rectangle = 3(7) + 2 = 23.
Width of rectangle = (7) - 5 = 2.
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:
10
Step-by-step explanation:
Look at where the one gallon gas is, it's point comes to ten. :)
We are given that the insect can lift 1.182 x 10^3 times
it's own weight. Say that w is weight, so the lift is:
lift = 1.182 x 10^3 * w
Assuming that your body weight is 60 kg, therefore you
can lift:
lift = 1.182 x 10^3 * 60 kg = 70,920 kg
Answer:
Weight on 1 may = 104 lb
Step-by-step explanation:
Given:
Weight on last may = 110 lb
Weight gain for to week = 2 x 19 = 38 lb
Weight lose for to week = 2 x 22 = 44 lb
Find:
Weight on 1 may
Computation:
Weight on 1 may = Weight on last may - Weight gain for to week + Weight lose for to week
Weight on 1 may = 110 - 44 + 38
Weight on 1 may = 104 lb
