If you multiply the top equation by -2 you get:
-4x -14y = 14 => -4x = 14+14y
now you can plug in the -4x into the second equation:
14+14y - 3y = -19 => 11y = -33 => y=-3
Fill in y=-3 in either equation to find x:
2x - 21 = -7 => 2x = 14 => x=7
So your ordered pair is (7,-3)
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:
Step-by-step explanation:
the 2 friend eat 5/8
Answer:
Step-by-step explanation:
19 - you would divide number of beads by beads per bracelet to get number of bracelets
blue = 258/6 = 43
silver = 428/9 = 47.56, round down because we're looking at complete bracelets = 47
rose = 102/3 = 34
white = 258/7 =36.86, round down again = 36
20 - they can make 43 + 47 + 34 + 36 = 160 bracelets before they run out, and they will run out of rose first since it has the smallest number of bracelets
21 - multiply num of beads by num of bracelets for each color and add them up
blue = 6 * 7 = 42
silver = 9 * 7 = 63
rose = 3 * 7 = 21
white = 7 * 7 = 49
42 + 63 + 21 + 49 = 175
42000/3 = 14000 is salary is allocated to each store.
