6.5X + 9(30) = 8(30+X)6.5X +270 = 240 + 8X270-240 = 8X-6.5X1.5X = 30X = 30/1.5 =20 ounces of $6.50 alloy9 is within 1 of 86.5 is within 1.5 of 81.5 is 3/2 of 130 is 3/2 of 20You know you need more of $9 alloy since it's closer to $8You need exactly 3/2 or 1.5 times more of the $9 alloy30 is 1.5 times 20

5 0

2 years ago

Read 2 more answers

The quotient of

vova2212 [387]

$\displaystyle{ \frac{y^2-16}{4y-16} \div \frac{y+4}{16y}= \frac{y^2-16}{4y-16}\cdot\frac{16y}{y+4}\\\\$

$\displaystyle{ = \frac{y^2-4^2}{4(y-4)} \cdot\frac{16y}{y+4}= \frac{(y-4)(y+4)}{4(y-4)}\cdot\frac{16y}{y+4} = \frac{16y}{4}=4y$

Answer: 4y

Remark: $y^2-4^2=(y-4)(y+4)$ by the difference of squares identity, or formula.

6 0

3 years ago