Answer:
5
Step-by-step explanation:
Remember that the slope of a line that is perpendicular to a given line is the negative reciprocal of the slope of the given line.
Here we are given the line y = -(1/5)x - 9. The slope is (-1/5). The negative reciprocal of this is +5. That's the answer you wanted.
3.
a. 380 ÷ 38 = 10
b. 190 ÷ 38 = 5
c. 570 ÷ 38 = 15
d. use 10 times 38 = 380, 190 is half of 380 so half of 10 is 5, 570 is 380 + 190 so 10 + 5
4.
a. 670 ÷ 67 = 10
b. 603 ÷ 67 = 9
c. 737 ÷ 67 = 11
d. use 10 times 67 = 670, 603 is 670 - 67 so 10 - 1 = 9, 737 is 670 + 67 so 10 + 1 = 11
Challenge:
1062 - 279 = 783

783 - 261 = 522
522 ÷ 15 = 34 remainder 12
So she put 34 books in each box
Answer:
≥ 420 boards
Step-by-step explanation:
Write the required relation between cost per board and "x" (the number of boards that must be sold).
143 + 30240/x ≤ 215 . . . . . . . note that the first term is <em>not</em> 143x
Subtract 143
30240/x ≤ 72
Multiply by x/72. This is a positive number because x is a positive number.
30240/72 ≤ x
420 ≤ x
At least 420 surfboards must be sold to limit the final cost per board to $215.
Let's first write all the factors of 168 and 252.
168 - <span>1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168</span>
252 - 1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
84 is the GCF because 84 is greatest common factor of 168 and 252.
So, 84 is the GCF
Hope this helps.. :)