This is for 2.X=22 so the total angle is 90° and you take away 68° and that leaves you with 22°
Answer:
13lbs
Step-by-step explanation:
x = number of pounds of chocolate/lbs
13.20(x) + 3.90(10) = 9.16(x + 10)
13.2x + 39 = 9.16x + 91.6 (x100)
1320x + 3900 = 916x + 9160
404x = 5260
x = 1315/101 = 13.0198.... ⇒ 13lbs
1/4x = 24 for cans
Multiply both sides by 4 (the multiplicative inverse of 1/4)
x = 96 days
3/4x = 38 for dry food
Multiply both sides by 4
3x = 152
x = 50.666667
So I would say Ann can be gone 50 days before Maggie runs out of food. I don’t think they would count the 2/3 of a day. She will run out of dry food before canned food.
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
