9/10 - 2/5 + 1/3
= 5/6 (Decimal: 0.8333333)
Subtract:
9/10 - 2/5 = 9/10 - 2 . 2/5 . 2
= 9/10 - 4/10
= 9 - 4/10
= 5/10
= 1/2
The common denominator you can calculate as the least common multiple of the both denominators LCM ( 10, 5) = 10
Add: 1/2 + 1/3 = 1 . 3/2 . 3 + 1 . 2/3 . 2
= 3/6 + 2/6
= 3 + 2/6
= 5/6
The common denominator you can calculate as the least common multiple of the both denominators LCM ( 2, 3) = 6
Answer in Lowest term is: 5/6 or Decimal: 0.8333333
Hope that helps!!!
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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.
Uhhhh I don't think that the correct answer.
First, find the gradient of the line segment.
Gradient = Rise/Run = (2-6)/(2-5) = 4/3.
Since the other line segment is parallel to this line segment, their gradients are the same.
That means (-2+4)/(x-5) = 4/3.
2/(x-5) = 4/3
It is obvious x = 6.5
