Answer:
They roam 958 acres combined.
Step-by-step explanation:
612 + 346
= 958
<em>x = markers</em>
<em>y = colored pencils</em>
12x = y
x= 72
y = 6
Okay, so what I did was divide 78 by 12 (to find the number of colored pencils) which gave me 6.5. You can't have half a colored pencil, so I rounded the number down to get 6. To find the number of markers, I multiplied 12 and 6 <em>(12x = 6) </em>which gave me 72. To check my answer I added the two amounts, 72 + 6, which gave me 78.
Answer:
The length of the first piece = 41 cm
Step-by-step explanation:
Let the length of the first piece = a
Let the length of the second piece = b
Let the length of the third piece = c
we are given the following:
b = 3a . . . . . (1) (The 2nd piece is 3 times as long as the 1st piece)
c = 6 + a . . . . (2) (the 3rd piece is 6 centimeters longer than the 1st piece)
a + b + c = 211 . . . . . (3) ( the yarn has a total length of 211 centimeters)
Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:
a + b + c = 211
a + (3a) + (6 + a) = 211 ( remember that b = 3a; c = 6 + a)
a + 3a + 6 + a = 211
5a + 6 = 211
5a = 211 - 6 = 205
5a = 205
∴ a = 205 ÷ 5 = 41 cm
a = 41 cm
Therefore the length of the first piece (a) = 41 cm
now finding b and c
substituting a into equation 1 and 2
b = 3a
b = 3 × 41 = 123
∴ b = 123 cm
c = 6 + a
c = 6 + 41 = 47
∴ c = 47 cm
Answer:
Step-by-step explanation:
Given
Required
Find x
If i.e. If AB is parallel to CD, then
Substitute values for ABC and BCD
Collect Like Terms
Multiply through by 
