Answer:
A) 0
Step-by-step explanation:
When x is divided by 11, we have a quotient of y and a remainder of 3
x/11 = y + 3
x = 11y + 3 ........(1)
When x is divided by 19, we have a remainder of 3 also
x/19 = p + 3 (p = quotient)
x = 19p + 3 ..........(2)
Equate (1) and (2)
x = 11y + 3 = 19p + 3
11y + 3 = 19p + 3
11y = 19p + 3 -3
11y = 19p
Divide both sides by 11
11y/11 = 19p/11
y = 19p/11
y and p are integers. 19 is a prime number. P/11 is also an integer
y = 19(integer)
This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0
Answer:
g(t) - h(t) = -2t - 1
Step-by-step explanation:
g(t) - h(t) = t-3-3t+2
= -2t -1
Answer:
½ mph
Step-by-step explanation:
1 mi. = 5280 ft.
2640⁄5280 = ½
I am joyous to assist you anytime.
Answer:
d.10cm,5cm,9cm
Step-by-step explanation:
In a triangle, the length of each side must be between the difference and the sum of the lengths of the other sides.
a. 1 + 1 = 2; 2 < 3 Answer: no
b. 2 + 3 = 5; 5 = 5 Answer: no
c. 10 - 3 = 7; 7 > 4 Answer: no
d. 10 + 5 > 9
5 + 9 > 10
10 + 9 > 5
10 - 5 < 9
10 - 9 < 5
9 - 5 <10
Answer: yes
