The answer is 0.444 repeating.
Given: 11-pound mixture of peanuts, almonds, and raisins
Cost:
peanuts - 1.5 per pound
almonds - 3 per pound
raisins - 1.5 per pound
mixture:
twice as many peanuts as almond; total cost of mixture is 21.
a + p + r = 11 lbs
a + 2a + r = 11 lbs
3a + r = 11
r = 11 - 3a
1.5(2a) + 3a + 1.5r = 21
3a + 3a + 1.5r = 21
6a + 1.5r = 21
6a + 1.5(11-3a) = 21
6a + 16.5 - 4.5a = 21
6a - 4.5a = 21 - 16.5
1.5a = 4.5
1.5a/1.5 = 4.5/1.5
a = 3
almonds = 3 lbs
peanuts = 2a = 2(3) = 6lbs
raisins = 11 - 3a = 11 - 3(3) = 11 - 9 = 2 lbs
<span>My answer is: C. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins </span>
Answer:
Step-by-step explanation:
a)
<u>Area of the frame with picture:</u>
- A = lw
- A₁ = (x + 4)(x + 7) = x² + 11x + 28
<u>Area of the picture:</u>
<u>Area of the wooden frame is the difference of the above values:</u>
- A₃ = A₁ - A₂
- A₃ = x² + 11x + 28 - x² - 3x
- = 8x + 28
b)
<u>When x = 5, the picture frame area is:</u>
- A₃ = 8*5 + 28 = 40 + 28 = 68 in²
Answer:
<em>Economic conditions </em>
Step-by-step explanation:
If the mortgage interest rates increase, this would be an example of changing <em>Economic conditions in a company's</em> your external environment
Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.
once the debtor repays the mortgage he retains the full ownership of his property.
Answer:
x = 34°
Step-by-step explanation:
As you can see, in your pic there is a straight angle which is equal to 180°
Therefore, all the 3 angles combined will be equal to 180°
