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3 years ago

A sugar cube is inch on each edge. How much volume does it occupy?

Mathematics

1 answer:

Serhud [2]3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

1 cubic inch.

Discussion:

If each side of the sugar cube is 1, the volume, which is the product of the length, width, and height, equals

1 * 1 *1 =

1 cubic inch.

Thank you,

MrB

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A tile pattern has five tiles in Figure 0 and adds seven tiles in each new figure. Write a linear equation that represents this

Olenka [21]

The linear equation that represents the <u>number of tiles in figure x</u> is given by:

$y = 7x + 5$

---------------------

A linear equation has the format:

$y = mx + b$

In which:

m is the slope, that is, the rate of change.
b is the y-intercept, that is, the value of y when x = 0.

---------------------

Figure 0 has 5 tiles, that is, when $x = 0, y = 5$ , thus $b = 5$
Seven new tiles in each figure, that is, a rate of change of 7, thus $m = 7$

The number of tiles in figure x is given by:

$y = 7x + 5$

A similar problem is given at brainly.com/question/16302622

4 0

2 years ago

The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸

Lorico [155]

Answer:

The Width of the Rectangle = $10y^6$

$\text{Length of the Rectangle}=210y^8$

Step-by-step explanation:

The area of the rectangle $=70y^8 30y^6.$

We are told that the width of the rectangle is equal to the greatest common monomial factor of $70y^8 \: and\: 30y^6.$

Let us determine the greatest common monomial factor of $70y^8 \: and\: 30y^6.$

Express each term as a product to pick out the common factors:

$70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6$

In the two terms, the common terms are 10 and $y^6$ . Therefore their greatest monomial factor = $10y^6$

The Width of the Rectangle = $10y^6$

Recall: Area of a Rectangle =Length X Width

$70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8$

6 0

3 years ago

Read 2 more answers

What is - 3/5 x = 15

Keith_Richards [23]

Answer:

X = 25 because 25 · 3/5, you will get 15

5 0

3 years ago

Pls help xDDDDD thx!

prohojiy [21]

Answer:

-25

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 9090% of all males. (Accommodating 1

Molodets [167]

Answer:

Hip breadths less than or equal to 16.1 in. includes 90% of the males.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.5

Standard Deviation, σ = 1.2

We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 14.5}{1.2})=0.10$

$= 1 -P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.10$

$=P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.90$

Calculation the value from standard normal z table, we have,

$P(z < 1.282) = 0.90$

$\displaystyle\frac{x - 14.5}{1.2} = 1.282\\x = 16.0384 \approx 16.1$

Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.

That is hip breaths greater than 16.1 in. lies in the larger 10%.

4 0

3 years ago