Answer: n = 3; n represents a remainder in a division problem.
Explanation:
1) Finding n:
i) Given: 643 = 4 × 160 + n
ii) Do the operations: 643 = 640 + n
iii) Subraction property of the equality: 643 - 640 = n
iv) Do the operations: 3 = n
Answer: n 3
2) Meaning of n
When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.
This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).
Answer:
(r-7)(r+2)
Step-by-step explanation:
First, let's look at the -14. Possible factors for that number are (-2, 7) (2, -7) (1, -14) and (-1, 14).
Now, let's look at the -5. How can we make -5 with the pairs that we just found?
The only possible way is 2 and -7 (added together equals -5)
The ratio 2:11 means for every 3 apple trees they will plant 11 pear trees.
They are planting 150 apple trees. Divide total apple trees by the ratio: 150/3 = 50
Multiply that by the ratio of pear trees:
50 x 11 = 550
They need to plant 550 pear trees.
Answer:
Perimeter = 133.681 cm
or 52.63 inches.
Step-by-step explanation:
"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."
let's use, πr + 2r
Diameter: 52
Radius: 26 (RAdius is half of the diameter)
πr + 2r (plug in)
pi x 26 + 2(26)
pi x 26 + 52
= 133.681 cm
or
= 52.63
