The measure is xz divided by zy
Answer:
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
Step-by-step explanation:
A 42-inch piece of steel is cut into 3 pieces
Let the lengths be represented as:
1st piece = Piece A
2nd piece = Piece B
Third Piece = Piece C
Hence:
A + B + C = 42
The 2nd piece is twice as long as the 1st piece
B = 2A
The 3rd piece is 2 inches more than 5 times the length of the first piece.
C = 5A + 2
Hence: we substitute
A + B + C = 42 inches
A + 2A + 5A + 2 = 42 inches
8A = 42 - 2
8A = 40 inches
A = 40 inches/8
A = 5 inches
Solving for B
B = 2A
B = 2 × 5 inches
B = 10 inches
Solving for C
C = 5A + 2
C = 5 × 5 + 2
C = 25 + 2
C = 27 inches
Therefore, the lengths of the 3 pieces =
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
Answer:
12 yards of silk
Step-by-step explanation:
okay so 1 yard = 36 inch so 2+3+6= 11 yards
now 1/2 of 36 is 18 inchs
6 inchs
and 1/3 of 36 is = 12
now add 12+18+6 = 36 = 1 extra yard so add that to 11 to get 12
Answer:
y = 2x² - 10
Step-by-step explanation:
We must find a pattern in the numbers. Set out the numbers in a table (Columns 1 and 2 in the table).
<u>x</u> <u> y</u> <u>y/2</u> <u>y/2 + 5
</u>
2 -2 -1 4
3 8 4 9
4 22 11 16
5 40 20 25
It looks like all y-values are multiples of 2.
Let's divide them by 2 (Column 3).
The numbers don't increase evenly. We may have a quadratic function.
If we add 5 to each quotient, we get a set of values equal to x² (Column 4).
y/2 + 5 = x²
y + 10 = 2x²
y = 2x² - 10
The function is y = 2x² - 10.
A great way to figure this out is to actually multiply it. 2/5 x 5/1 You can simplify numbers diagonally, so the two fives can both cancel out into ones. now we have 2/1 x 1/1, which is the same as 2x1 This equals 2, which is less than five.
One great thing to know is that anything multiplied by a number less than one (a fraction or a decimal) will always be smaller than the original number.
Answer: 2
Hope this helped!! (:
