Given that Lorenzo ate 2/5 of his bag of almonds, the remaining amount was:
1-2/5=3/5
Given that 4 of his friend shared the remaining fraction equally, then the amount that each one ate was:
3/5÷4
that is:
3/5 divided by 4
this can be simplified to
=3/5×1/4
=3/20
The answer is: 3/5 divided by 4
We have a three unknown, 4 equation homogeneous system. These always have at least (0,0,0) as a solution. Let's write the equations, one column at a time.
1a + 0b + 0c = 0
-1a + 1b +0c = 0
0a - 1b + c = 0
0a + 0b + -1 c = 0
We could do row reduction but these are easy enough not to bother.
Equation 1 says
a = 0
Equation 4 says
c = 0
Substituting in the two remaining,
-1(0) + 1b + 0c = 0
b = 0
0(0) - 1b + 0 = 0
b = 0
The only 3-tuple satisfying the vector equation is (a,b,c)=(0,0,0)
4 + 5z = 5z + 4 is an identity and is true for all values of z.
The equation has, therefore, infinitely many solutions.
Hello,
If Viviana has 2/5 of pasta to share with four friends, you should divide. First change 2/5 to a decimal, 0.4. Now divide 0.4 and 4.
Workspace:
2/5 = 0.4
4 / 0.4 -> 10
Workspace End
Correct Answer:
10
Hope this helps!!
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