Answer:
- 1 = pentagon
- 2 = diamond
- 3 = square
- 5 = circle
- 6 = rectangle
- 7 = oval
- 8 = triangle
- 9 = hexagon
- 10 = trapezoid
Step-by-step explanation:
Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.
The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.
The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.
The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.
We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.
The weights are summarized in the answer section, above.
Answer:
1. true
2. false
Step-by-step explanation:
1.there are no restrictions on what makes it true so it can be any number
2. only one answer because
m+8=12
subtract 8
m=4
Answer:
x = 3.4
y = 1.4
Step-by-step explanation:
2x + 3y = 11
2y = 13 – 3x, then y = (13 - 3x)/2
substitute for y:
2x + 3((13 - 3x)/2) = 11
reduce:
2x + (39 - 9x)/2 = 11
reduce:
2x + 19.5 - 4.5x = 11
subtract 19.5 from both sides of the equation and combine for x:
-2.5x = -8.5
divide both sides by -2.5:
x = 3.4
y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4
