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ra1l [238]
3 years ago
7

Vijay has a collection of 50 number cubes that are each 1 cubic inch. He finds a box that is 4 inches high.He fits 12 cubes into

the bottom of the box.Can vajay fit all his number cubes into the box
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

No, Vijay cannot fit all cubes into the box.

Solution:

Total number of cubes = 50

Volume of each cube = 1 cubic inch

Number of cubes fit in the bottom of the box = 12

Area of the box<em> = l</em> × <em>b</em> = 12 square inch

Height of the box = 4 inch

Volume of the box = <em> l</em> × <em>b </em>× h

                               = 12 × 4

Volume of the box = 48 cubic inch

So, 48 cubes can only fit in the box.

Hence, Vijay cannot fit 50 cubes into the box.

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
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Answer:

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Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

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Factorize the first bracket

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Represent the _ with X

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Factorize the second bracket

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To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

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Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

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The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

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sergejj [24]

Answer:

x = 4

Step-by-step explanation:

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26 = 14 - 2x + 3x - 1 + 2x + 1

26 = 14 - 1 + 1 - 2x + 3x + 2x

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3x = 12

x = 12/3

x = 4

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