Answer = 55,25 inches
Solution -
let's take x as length and y as width of the metal piece. As per the question x is 30 more than y,
⇒ x = y + 30
Then four square pieces of side 6 are cut from each corner,
so the new length and width are
x-12 , y-12
Then the volume of the new box created will be
(x-12)(y-12)6
in the question the volume of the given figure is given to be 3354
so (x-12)(y-12)6 = 3354
putting the value of x in the the above equation
⇒ (y+30 - 12)(x-12) = 3354/6 = 559
⇒ (y+18)(y-12) = 559
⇒ y² + 6y - 775 = 0
⇒ y² + 31y - 25y -775 = 0
⇒ (y+31)(y-25) = 0
⇒ y = -31, 25
as length can not be -ve , so y = 25
then x = 25+30 = 55
Hence the dimensions of the metal piece are 55, 25 inches
Answer:
(2,2)
Step-by-step explanation:
Simplify <span /><span><span><span><span><span><span><span><span><span>4</span><span /></span><span><span>8</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>48</span></span> to <span /><span><span><span><span><span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>12</span></span>
<span /><span><span><span><span><span><span><span><span><span><span>s</span><span>−</span><span>1</span></span><span /></span><span><span>4</span><span /></span><span><span /><span /></span></span></span><span>=</span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>s−14=12</span></span>
2<span> </span>Multiply both sides by <span /><span><span><span><span><span><span>4</span></span><span /></span></span><span /></span><span>4</span></span>
<span /><span><span><span><span><span><span>s</span><span>−</span><span>1</span><span>=</span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span><span>×</span><span>4</span></span><span /></span></span><span /></span><span>s−1=12×4</span></span>
<span> </span>Simplify <span /><span><span><span><span><span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span><span>×</span><span>4</span></span><span /></span></span><span /></span><span>12×4</span></span> to <span /><span><span><span><span><span><span><span><span><span>4</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>42</span></span>
<span /><span><span><span><span><span><span>s</span><span>−</span><span>1</span><span>=</span><span><span><span><span>4</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>s−1=42</span></span>
Simplify <span /><span><span><span><span><span><span><span><span><span>4</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>42</span></span> to <span /><span><span><span><span><span><span>2</span></span><span /></span></span><span /></span><span>2</span></span>
<span /><span><span><span><span><span><span>s</span><span>−</span><span>1</span><span>=</span><span>2</span></span><span /></span></span><span /></span><span>s−1=2</span></span>
Add <span /><span><span><span><span><span><span>1</span></span><span /></span></span><span /></span><span>1</span></span> to both sides
<span /><span><span><span><span><span><span>s</span><span>=</span><span>2</span><span>+</span><span>1</span></span><span /></span></span><span /></span><span>s=2+1</span></span>
Simplify <span /><span><span><span><span><span><span>2</span><span>+</span><span>1</span></span><span /></span></span><span /></span><span>2+1</span></span> to <span /><span><span><span><span><span><span>3</span></span><span /></span></span><span /></span><span>3</span></span>
<span /><span><span><span><span><span><span>s</span><span>=</span><span>3</span></span><span /></span></span><span /></span><span>s=3
</span></span>
Answer:
8.5 for each student ticket
Step-by-step explanation:
Simply divide the total cost 42.5 by the amount of students 5 to get your answer.
42.5 / 5 = 8.5