Answer:
Option B) 3
Step-by-step explanation:
we have the number
4162 0012 3456 789a
<u><em>Find the value of a (check number)</em></u>
step 1
Multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit
4162 0012 3456 789a
9(2)+7(2)+5(2)+3(2)+1(2)+0(2)+6(2)+4(2)
(18)+(14)+(10)+(6)+(2)+(0)+(12)+(8)
Remember that If the result is a two digit number, then add these digits together to make a single digit
so
(1+8)+(1+4)+(1+0)+(6)+(2)+(0)+(1+2)+(8)
(9)+(5)+(1)+(6)+(2)+(0)+(3)+(8)=34
step 2
add every odd-position digit
4162 00123456 789a
so
8+6+4+2+0+2+1=23
step 3
Adds the result in step 1 and the result in step 2
34+23=57
The check-digit is what number needs to be added to this total to make the next multiple of 10
In our case, we’d need to add 3 to make 60
therefore
The check number is 3
Note that when two lines have slopes of m₁ and m₂, then
(i) If m₁ = m₂, then the lines are parallel.
(ii) If m₁*m₂ = -1, then the lines are perpendicular.
Let us evaluate the given lines.
a. y = 4x - 1 and 12x = 3y + 7
y = 4x - 1 => m₁ = 4
Write the second equation in standard form.
3y = 12x - 7
y = 4x - 7/3 => m₂ = 4.
m₁ = m₂.
Answer: PARALLEL
b. x - 7y = 10 and 2x + 14y = 21
In standard form,
7y = x - 10 or y = (1/7)x - 10/7 => m₁ = 1/7
14y = - 2x + 21 or y = -1/7 + 3/2 => m₂ = -1/7
m₁ ≠ m₂ and m₁*m₂ ≠ -1.
Answer: NEITHER
c. 5x + 6y = 18 and 18x - 15y = 36
In standard form,
6y = -5x + 18 or y = -(5/6)x + 3 => m₁ = -5/6
15y = 18x - 36 or y = (6/5)x - 12/5 => m₂ = 6/5
m₁*m₂ = -1
Answer: PERPENDICULAR
d. x =1 and y = 1
x = 1 => m₁ is undefined
y = 1 => m₂ = 0
m₁ ≠ m₂ and m₁*m₂ ≠ -1
Answer: NEITHER
75 miles per hour means,
75 miles per 60 minutes.
And this makes 1.25 miles per 1 minute.
1 mile is 1760 yards.
So 1.25 miles is ;
1.25 * 1760 = 2200 yards.
Answer is 2200 yards per minute.
Answer:
1 and 12/25
its over 100 percent, that's where the 1 comes from. the 48 that's left would be 48/100, which is then simplified to 24/50, which is simplified one more time to 1 12/25
90 75 50 35 kfjkjjdnnnj jdndjddkvjekvkjevjjekcke