X^2-18x-6. complete the square
2 answers:
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A simple algebraic equation can be utilized to solve this question. Ayana needs yards of blue fabric for each scarf.
Step-by-step explanation:
Step 1; Assume the amount of purple fabric to be x for each scarf and the amount of blue fabric required for each scarf to be y. It says a total of six scarves are needed. It is given that a total of 10 yards of fabric is used i.e. the total of purple fabric and the blue fabric. So we can create an equation for this. As 6 scarves are needed we substitute x and y as 6x and 6y.
Total fabric used= 6x + 6y = 10 yards.
Step 2; It is given that for each and every scarf 1 yards of purple fabric is needed. So for 6 scarves a total of 6 * 1
yards is needed. So 6x becomes 6 * 1
yards.
6x = 6 * 1 yards = 6 *
=
yards of purple fabric.
Step 3; Now we solve for the amount of blue fabric needed.
6y = 10 - =
=
But the yards is for 6 scarves to we divide it by 6 to get the material needed for a single scarf
y = /6 =
*
=
=
yards = 0.4166 yards of blue fabric for each scarf.