The amount of pounds of vegetable needed in fractions to make the stew exactly 10 pounds is 3 3 / 8 pounds
<h3>How to solve fractions?</h3>
The amount of pounds of vegetable needed to make the stew exactly 10 pounds can be calculated as follows:
potatoes weight = 2 7 / 8 pounds = 23 / 8 pounds
green beans weight = 1 1 / 4 = 5 / 4 pounds
pepper weight = 2 1 / 2 = 5 / 2 pounds
Therefore,
weight needed = 10 - 23 / 8 - 5 / 4 - 5 / 2
weight needed = 80 - 23 - 10 - 20 / 8
weight needed = 80 - 53 / 8
weight needed = 27 / 8
weight needed in fractions to make the stew exactly 10 pounds = 3 3 / 8 pounds
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Given:
A prism with height 5 cm and equilateral triangular base with side 2 cm.
To find:
The total surface area of the prism.
Solution:
Area of an equilateral triangle is:
Where, a is the side length.
Putting 
, we get
The base and top of the prism are congruent so their area must be equal.
The lateral surface area of the prism is:
Where, P is the perimeter of the base and h is the height of the prism.
The lateral surface area of the prism is:
Now, the total surface area is the sum of areas of bases and lateral surface area.
Therefore, the total surface area is 33.46 cm².
Answer:
x = 1 and x = -1
Step-by-step explanation:
Next time, please separate the equations with a comma or semicolon. Thanks.
We can substitute 4x for y in the quadratic equation x^2 + y^2=17:
x² + (4x)²=17.
Then x² + 16x² = 17, or
17x² = 17, or x² = 1. There are two solutions: x = 1 and x = -1.
Answer:
B) construct the center of a given circle
