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:
x = 10 is your answer
- Explain -
Step 1: subtract 1 from both sides (subtraction of equality)
which will give us:
2x = 21 - 1
which equals to
2x = 20
Step 2: Divide both sides by 2
which is
2x/2 = 20/2
2/2 = 1 and 20/2 = 10
Therefore the answer is x = 10
Answer:
2. B
3. C
4. B
5. D
Step-by-step explanation:
2) The sequence is multiplying by -2 each time. This means that it is geometric.
The next two terms would be:
This means that the answer is B
3) The sequence is being multiplied by 
each time. This means that it is geometric.
The next 3 terms would be:
I am assuming that the answer is C and that you were unable to type the fractions.
4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows
Now we can find the first 4 terms
This would mean that the answer is B
5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows
Now we can find the first 4 terms
Unless you meant that the ratio was 
, the answer is D, none of the above
