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valentina_108 [34]
3 years ago
11

At a certain school, everyone in grades 6 through 9 voted for their favorite cafeteria lunch. The bar graph below shows the resu

lts of the survey.
Which grade liked spaghetti the most?


Enter your answer as a number.

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer: Grade 8

Step-by-step explanation: The bar graph indicates by color which the number of students who liked said food more. Grade 8's bar is higher than every other grade showing us that their grade 8 liked spaghetti the most.

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This question has three parts. Answer the parts in order.
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Answer:

The area of the smallest section is A_{1}=100yd^{2}

The area of the largest section is A_{2}=625yd^{2}

The area of the remaining section is A_{3}=250yd^{2}

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

A_{1}=10yd*10yd

A_{1}=100yd^{2}

- Area of the second section:

A_{2}=x^{2} (Eq.1)

- Area of the third section:

A_{3}=width*length

A_{3}=10yd*x (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

A_{1}+A_{2}+A_{3}=975yd^{2}

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100+x^{2}+10x=975

Solving for x:

x^{2}+10x-875=0

x=\frac{-10+\sqrt{100+(4*875)}}{2}

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x=\frac{-10+60}{2}

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Answer:

x=19.5cm

Step-by-step explanation:

15÷10= 1.5

13x1.5

=19.5cm

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