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2 years ago

Rosa bought 3 pairs of shoes. Each pair cost $40. She paid $120 for all three pair.

Mathematics

1 answer:

tangare [24]2 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Each shoe costs $40.

Then 3 pairs would cost :

40 x 3

= $120

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An open box is to be made from a rectangular piece of tin by cutting 3-inch squares out of the corners and folding up the sides.

slava [35]

Answer:

Width of the Rectangular Tin=8 inch

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Step-by-step explanation:

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Since Squares of 3 inch are cut from all four corners of the rectangle

Length of the box = 2W-(3+3)=(2W-6) inches

Breadth of the Box = W-(3+3)=(W-6) inches

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Now, Volume of a cuboid=lbh

3(2W-6)(W-6)=60

Divide both sides by 3

(2W-6)(W-6)=20

Expanding the brackets

$(2W-6)(W-6)=20\\2W^2-12W-6W+36=20\\2W^2-18W+36-20=0\\2W^2-18W+16=0$

Factorizing

$2W^2-16W-2W+16=0\\2W(W-8)-2(W-8)=0\\(W-8)(2W-2)=0\\W-8=0 , 2W-2=0\\W=8, 1$

Since the Width cannot be less than 6,

Width of the Rectangular Tin=8 inch

Length= 2 X 8 = 16 inch

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nikitadnepr [17]

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