So there is 65 yards and one yard is 3 feet so you multiple 65 by 3 which is 195 . Then you divide by 4 as you have to see how many four foot pieces can be cut which you end up with 48.75 which means that you can have 48 four foot pieces. So since you have 48 four foot pieces you multiply 48 by 4 and you have 192 and if you subtract 195 which is how many feet there is in the 65 yards you get three feet and that is how much of the rope that is left over.
52
- is prime? No
- is multiple of 3? No
continue
53
- is prime? Yes
continue
54
- is prime? No
- is multiple of 3? Yes
- is multiple of 4? No
continue
55
- is prime? No
- is multiple of 3? No
continue
56
- is prime? No
- is multiple of 3? No
continue
57
- is prime? No
- is multiple of 3? Yes
- is multiple of 4? No
continue
58
- is prime? No
- is multiple of 3? No
continue
59
- is prime? Yes
continue
60
- is prime? No
- is multiple of 3? Yes
- is multiple of 4? Yes
Therefore 60 is the answer, as it fits all the conditions
Simple trial and error.
The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4) option e. (4, 4) and option f. <span>(2, -1)
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span>< 3x + 5
-5 </span><span>< 3(-3) + 5
-5 </span><span>< -9 + 5
-5 </span><span>< -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
6 (Allison's number of blue) divided by 16 (Allison's total) is equal to x (Sadie's blue) out of 24 (Sadie's total).
So 6/16=3/8=x/24. So x=3*3, so Sadie's amount of blue pencils is 9. The rest of Sadie's pencils are yellow, so Sadie has 24-9=15 yellow pencils.
