Things we know: every pound of cherries cost four dollars.
We don't know how much the mother got and it is represented by the variable 'r'. But we do know how many pounds the dad got. He got two pounds.
We know the total cost the mom had to pay which is 4 * r and the amount the dad paid is 4 * 2 or 8.
Now we want to make an algebraic expression that represents how much more the mother paid than the father.
Final answer:
8 - (4 * r)
Hope this helps!
=−10x5−18x4+25x3−48x2+17x−14 is the right anwer...
Answer: 8n
==========================================================
Explanation:
The two sides 4n+5 and 5n+6 have the terms 4n and 5n which add to 9n. We need 8n to add onto this so that we end up with 17n. In other words, 4n+5n+8n = 9n+8n = 17n
So that is why the answer is 8n. We don't have anything added or subtracted to it because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) add up to 5+6 = 11 which is what we want in the perimeter expression 17n+11
Side 1 = 4n+5
Side 2 = 5n+6
Side 3 = 8n
Perimeter = (side1) + (side2) + (side3)
Perimeter = (4n+5) + (5n+6) + (8n)
Perimeter = 4n+5 + 5n+6 + 8n
Perimeter = (4n+5n+8n) + (5+6)
Perimeter = 17n+11
So that confirms we have the proper expression for the third missing side.
Answer:
150 ft
Step-by-step explanation:
The diagram shown gives us a picture of two similar right triangle.
The height of the man is similar to the height of the platform.
To find the height of the platform, multiply the height of the man by the scale factor.
Scale factor = the ratio of any corresponding sides of two similar triangles.
Scale factor = 100 ft ÷ 4 ft = 25
Height of man = 6ft
Therefore, height of platform = 6 ft × 25 = 150 ft
