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Ludmilka [50]
3 years ago
5

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of the track

team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

54 Pounds

Step-by-step explanation:

We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.

The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem

67.5

We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.

67.5 x 0.8

This leads the answer to be 54 Pounds

Hope this helped :D

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Answer:

60°

Step-by-step explanation:

Jenny drew a figure in art school and the figure is shown in the attached diagram.  

The diagram is a regular hexagon and it has rotational symmetry.  

Two of its sides is placed parallel to the x-axis.

Therefore, by rotating 60° the adjacent sides will become parallel to the x-axis and the figure remains the same and symmetric with respect to the coordinate axes. (Answer)

6 0
3 years ago
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If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.​
8090 [49]

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

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We know that the formula of the area of the rectangle is

A = wl

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x:   4x(x+3)

w = [ 4x(x+3) ] /  [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

3 0
3 years ago
Cecilia's family travel 2/7 of the distance your uncles house on Saturday. They traveled 4/5 of the remaining distance on Sunday
Korolek [52]

Answer:

1 3/35

Step-by-step explanation:

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2 years ago
Help:<br> <img src="https://tex.z-dn.net/?f=1.%5C%20%26x%5E4-61x%5E2%2B900%3D0%20%5C%5C%202.%20%5C%20%26%20x%5E4-25x%5E2%2B144%3
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\bf{1) \  x^4-61x^2+900=0 }

Applying the factorization method, for example:

      \bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}

               \bf{\\ &=(x+6)(x-6)(x+5)(x-5);    }

              \bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5  }

\bf{2) \  x^4-25x^2+144=0  }

Applying the factorization method:

          \bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }

             \bf{ =(x-4)(x+4)(x-3)(x+3); }

            \bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3  }

7 0
1 year ago
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lara [203]

Answer:

<h2><em>All of the above!</em></h2>

Step-by-step explanation:

They all are 4 points away from (-4, 4)..

<u />

<u>Hope this helps.</u>

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