Answer: Jackie Robinson was an African American baseball player. He had accomplished-
He was well known for-
The rest is up to you :)
Im not very familiar on the story bc im in mid school but you can fill in the blanks i hope this helps you man :)
Step-by-step explanation:
Answer:
x=15
y=18
Step-by-step explanation:
then x+y=33
and 2x+5y=120
then x=33–y
since 2x+5y=120
then 2(33–y)+5y=120
then 66–2y+5y=120
then 66+3y=120
then 3y=120–66
then 3y=54
then y=54/3
then y=18
then x=33–18=15
Answer:
See explanation
Step-by-step explanation:
Statement: P(n) = "a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps".
A. P(18) = a postage of 18 cents can be formed using two 7-cent stamps and one 4-cent stamp.
P(19) = a postage of 19 cents can be formed using one 7-cent stamp and three 4-cent stamps.
P(20) = a postage of 20 cents can be formed using five 4-cent stamps.
P(21) = a postage of 21 cents can be formed using three 7-cent stamps.
B. Inductive hypothesis is to assume that P(n) is true for all n < 18
C. In the inductive step we need to prove that P(n+1) is true.
D. Let k ≥ 21, then
- if k = 4l, we get the case of P(20);
- if k = 4l + 1, we get the case of P(21);
- if k = 4l + 2, we get the case of P(18);
- if k = 4l + 3, we get the case of P(19).
E. Since all natural numbers are of the form 4l, 4l + 1, 4l + 2, 4l + 3, we can state that P(n) is true for all n ≥ 18.