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maxonik [38]
3 years ago
5

There are 28 students in the math class, and 22 of the students passed recently. What percentage did the test pass?​

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

About 79% passed

Hope this helps

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A motor racing circuit has length 5 5/6 miles. A straight section of the circuit has 1 1/4 miles. What fraction of the circuit i
aleksklad [387]

Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

4 0
3 years ago
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0
2 years ago
1-2n) - 7n(12-2) simplify this and show work​
Natasha2012 [34]

For this case we must simplify the following expression:

(1-2n) -7n (12-2) =

We solve the operation of the second parenthesis, taking into account that different signs are subtracted and the sign of the major is placed:

(1-2n) -7n (10) =

We multiply:

(1-2n) -70n =

We eliminate the parentheses:

1-2n-70n =

We add similar terms, taking into account that equal signs are added and the same sign is placed:

1-72n

Answer:

The simplified expression is: 1-72n

5 0
3 years ago
Base = 5 ft Height= 3.5 ft what is the area
Advocard [28]

Answer:

the area is 17.5 ft if the shape is a square/rectangle

the area is 8.75 ft if the shape is a triangle

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose there are 20 questions on a multiple choice test.if 25% of the answers are choice B how many of the answers are not choi
victus00 [196]

Answer:

15

Step-by-step explanation:

25% of 20 is 5 5*3=15

4 0
3 years ago
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