36% of the beans in Pythagoras's soup are lentils, and 33 1/3 of those lentils are green. If Pythagoras removes all the green le
1 answer:
Answer:
Value of x is 88
Step-by-step explanation:
We have,
Percentage of lentils in the soup = 36% = 0.36
Fraction of the lentils which are green =
Thus, the amount of green beans in the soup are = =
= 0.36 × 33.3 = 11.99 ≅ 12.
So, the percentage of the green beans = 12%
The percentage of the original beans in the soup = (100-12)% = 88%
Hence, the value of x is 88.
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Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
=
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
=
=
=
=
= -3 + 1.5 + 6
= 4.5