The inequality that represents the number of each type of fabric that Naomi has is:
Let the number of short-sleeved shirts she made be x
Let the number of long-sleeved shirts she made be y
Length of clothes used to make a short-sleeved shirt = 9 yards
Length of clothes used to make a long-sleeved shirt = 16 yards
Length of short-sleeved shirts made = 9x
Length of long-sleeved shirts made = 16y
Total length of fabric used = 53 yards
The inequality that represents the number of each type of fabric that Naomi has is:
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0.03 compare to 0.003
While comparing decimals we write the decimals one below the other according to the place value of each digits in place value chart
ones -- point -- Tenths -- Hundredths -- Thousandths
0 . 0 3
0 . 0 0 3
Now we compare each digit left to right. We have 3 in hundredths and 0 in hundredths place. 3 is greater
So 0.03 is greater than 0.003
0.03 > 0.003
a linear combination can be:
(a + b)*(4x + 15y) = a*12 + b*15
<h3>How to solve the given system of equations:</h3>
Here we have the system of equations:
(2/3)*x + (5/2)*y = 15
4x + 15y = 12
To solve the system of equations, we first need to isolate one of the variables in one of the equations, I will isolate x on the second equation.
4x = 12 - 15y
x = (12 - 15y)/4
Now we can replace that in the other equation:
(2/3)*x + (5/2)*y = 15
(2/3)* (12 - 15y)/4 + (5/2)*y = 15
Now we can solve that for y.
2 - (10/4)*y + (5/2)*y = 15
2 = 15
That is a false equation, then we conclude that the system of linear equations has no solutions.
This means that the two lines are parallel lines, then a linear combination can be:
(a + b)*(4x + 15y) = a*12 + b*15
Where a and b are two real numbers.
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