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Ne4ueva [31]
3 years ago
13

Avery collects data from a random sample of seventh-graders. Out of the 58 students that responded, 14 prefer to eat cheddar che

ese of the 232 seventh-graders attending Avery's school, how many would be expected to prefer cheddar cheese?​
Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

Step-by-step explanation:

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Lunna [17]

Answer:

paying interest on your purchase

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3 years ago
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Please help answer the two questions in the photo
Alex

The given pentagon can be divided into two figures : a triangle and rectangle as shown in figure.

Let us find area of each figure separately.

Triangle:

Area of triangle is given by:

A=\frac{1}{2}*b*h

where b=base and h=height

Height of triangle :

h=(3x+5)-(2x+1)

h=x+4

Base = 2x-2

A=\frac{1}{2}*(x+4)(2x-2)

Area of triangle= (x-1)(x+4) = x²+3x-4

Area of rectangle:

Area of rectangle is given by:

A=l*b

A=(2x-2)(2x+1)

Area of rectangle = 4x²-2x-2

Area of pentagon = Area of triangle + Area of rectangle

Area of pentagon = x²+3x-4 + 4x²-2x-2

Area of pentagon = 5x²+x-6

If area of pentagon is 42 cm², then solving for x,

42=5x^{2}+x-6

5x^{2}+x-48=0

Factorising to get x,

x=-3.2 and x=3

If we take x as negative the side will be negative, so we neglect x=-3.2

So x=3 is the answer.




3 0
3 years ago
The length of a garden is four more than twice its width, w. Which expressions represent the area of the garden? Select all that
fgiga [73]

Answer: the options that apply are

1) w(2w + 4)

5) 2w² + 4w

Step-by-step explanation:

The formula for determining the area of a rectangular garden ins expressed as

Area = length × width

The length of a garden is four more than twice its width, w. The expression for the length would be

Length = 2w + 4

Therefore, the expression that represents the area of the garden would be

w(2w + 4)

Expanding the brackets, it becomes

2w² + 4w

5 0
3 years ago
The sum of 12 and the product of 7 and a number is 40. What is the number? three less than the product of 6 and a number is 45.
nataly862011 [7]

Answer: 4 and 8

Step-by-step explanation:

1. 12+7x=40

7x=28

x=4

2. 6x-3=45

6x=48

x=8

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3 years ago
Need Help!! because im confused
7nadin3 [17]

Answer:

3g+20

Step-by-step explanation:

Because Milena wants to have 3 cups per each guest and then she wants an additional 20 more.

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3 years ago
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