Simplify to create an equivalent expression. −y−3(−3y+5)

Mathematics

1 answer:

navik [9.2K]4 years ago

4 0

Answer:

$\large\boxed{-y-3(-3y+5)=8y-15}$

Step-by-step explanation:

$-y-3(-3y+5)\qquad\text{use the distributive porerty}\ a(b+c)=ab+ac\\\\=-y+(-3)(-3y)+(-3)(5)\\\\=-y+9y-15\qquad\text{combine like terms}\\\\=(-y+9y)-15\\\\=8y-15$

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Please help: If the area of a rectangular picture of a stamp is 81 times greater than the actual stamp's area, and the stamp has

ololo11 [35]

Answer:

12 inches.

Step-by-step explanation:

We know that the length of the stamp is 4/3 inches.

Let the width be x inches.

Then the area of the actual stamp is:

$\frac{4}{3}x\text{ inches}^2$

We know that the rectangular picture of the stamp is 81 times greater than the actual stamp’s area. Therefore, the area of the picture is 81 times the above. So:

$81(\frac{4}{3}x)\text{ inches}^2$

So, the area of the rectangular picture is the area of the actual stamp multiplied by a scale factor k.

When we use the scale factor to scale area, we need to square it. Hence, the area of the actual stamp times the scale factor squared is equal to the area of the rectangular picture. Therefore:

$\frac{4}{3}x(k^2)=81(\frac{4}{3}x)$