First, we obtain the gradient (slope) of the first parallel line
Recall that since both lines are parallel, we have that,
Thus
Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)
Using
(-8) - 3y= 25
-8-3y= 25
move -8 to the other side
sign changes from -8 to +8
-8+8-3y=25+8
-3y= 33
divide both sides by -3 to get y by itself
and to get +y
-3y/-3= 33/-3
Answer:
y= -11
Answer:
11
Step-by-step explanation:
x+y=8 y=3
x+3=8
-3 -3
x=11
The correct answers are B and C.
Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.
A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.
B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.
C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.
D does not work; 26 is not a multiple of 6.
E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.
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
