Let x be the width of the cardboard, then the length is x+15. If 5 unches square is cut from each corner, then the new length is x+15-5·2=x+5 and the new width is x-5·2=x-10. The height of the formed box is 5 in. Now you can find the box volume:

$V=\text{ width }\cdot \text{ length }\cdot \text{ height },\\ V=(x-10)\cdot (x+5)\cdot 5,\\ V=5(x^2-5x-50)$ .

If the volume of the box is 1,250 cubic inches, then

$5(x^2-5x-50)=1250,\\ x^2-5x-50=250,\\ x^2-5x-300=0,\\ D=(-5)^2-4\cdot (-300)=25+1200=1225,\\ \sqrt{D} =35,\\ x_{1,2}=\dfrac{5\pm 35}{2} =20,-15$ .

The length of the box is x+5=20+5=25 in. (the negative x is extra, because the length couldn't be negative).

Answer: the length of the box is 25 inches.

7 0

3 years ago

What fraction are equal to 2/3?

vlada-n [284]

Answer:

6/9

Hope this one helps!

6 0

4 years ago

Read 2 more answers

Four of 12 people chose milk. what part of the group chose other drinks?

anyanavicka [17]

Answer:

8 people or 2/3 of the people choose another drink. Is that what you were asking?

8 0

3 years ago