Answer:
(11, 3)
Step-by-step explanation:
Let's say that the ounces of seeds is x and the ounces of dried fruit is y. Since Otis and Rhonda need 14 ounces total: x + y = 14.
Each ounce of seeds is 1.50 and each ounce of dried fruit is 2.50. In total, they will add up to 24, so: 1.50x + 2.50y = 24
<u>Part 1</u>
The system is:
x + y = 14
1.50x + 2.50y = 24
<u>Part 2</u>
To solve, we can use substitution. First, subtract x from both sides of the first equation: x + y - x = 14 - x ⇒ y = 14 - x
Now, we can substitute this in for y in the second equation:
1.50x + 2.50 * (14 - x) = 24
1.50x + 35 - 2.50x = 24
-x + 35 = 24
x = 11
Plug 11 into the equation x + y = 14 to solve for y:
11 + y = 14 ⇒ y = 3
Thus, the answer is (11, 3).
Hope this helps!
Assume w is the width. the length is 3*2w
To fence the whole outside of farm, he needs:
2(w+6w)=14w meters
Also he needs one width and one length for the enclosed pens. Therefore, the total amount of fencing he would need:
14w+w+6w=21w meters
The shaded portion area A corresponds to the area Ao of the outer circle minus the area Ai of the inner circle:
A = Ao - Ai
Also, the area of each circle of radius r is given by:
π r²
where the radius r is half the diameter d.
So, using r = d/2 in the above formula, we obtain:
π r² = π (d/2)² = (π/4) d²
Now, replacing each area with the corresponding diameter, we find:
A = Ao - Ai
= (π/4) 4² - (π/4) 1.5²
= (π/4) (4² - 1.5²)
= (π/4) (16 - 2.25)
= (π/4) (13.75)
≅ 10.799
Rounding the result to one decimal place, we find the answer:
10.8 m²
3x + 2y = 12
subtract 3x from both sides
2y = -3x + 12
divide all terms by 2 so that you can have only the y on the left side
y = -3/2x + 6
And that is your answer!
Hope this helped!! :)
Answer: The answer is B.
Step-by-step explanation: The scale on the y-axis could be changed to 100–120.
