Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
Answer:
-1 and 5
Step-by-step explanation:
Answer:
m = -3
Step-by-step explanation:
5m + 20 = 8 + 2m +3
5m + 20 = 11 +2m
3m + 20 = 11
3m = -9
m = -3
Answer:
20x - 8
Step-by-step explanation:
Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:
(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8
We can't find the hundredth for you, but the nearest hundred is $95,500.