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3 years ago

Caleb made a scale drawing of a theater. He used the scale 7 inches = 10 feet. What is the scale factor of the drawing?

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

10 feet = 120 inches

120 / 7 = 17.1428571429

So, the scale is 17.1428571429 to 1.

Step-by-step explanation:

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drek231 [11]

the answer to the set of graphs is A

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4 years ago

8.7 billion in scientific notation

lisov135 [29]

1. Give the scientific notation of 8.7 billion.
8.7 billion = 8 700 000 000
Scientific notation is the process of multiplying the given number by 10 to the power of n.
Since billion has 9 zeros that’s equals to 10^9
=> 8.7 x 10^9
let’s try solving this
=> 8.7 x (10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10)
=> 8.7 x 1 000 000 000
=> 8 700 000 000
Thus, our scientific notation of 8.7 billion is 8.7 x 10^9

3 0

3 years ago

Read 2 more answers

If Haley's ant farm doubles in population, she will have 122 more ants in her farm than Nate does. Haley's ant farm currently ha

xxMikexx [17]

Answer:

238

Step-by-step explanation:

Start with Raven's ants since hers is the one that everyone else's is based off of.

Raven = 208

Haley has half of that plus 76, so

Haley = (208/2) + 76

Haley = 180

If Haley's farm doubles in population, she would have 360 ants. That number is equal to Nate's number + 122. We have an equation of sorts there to solve for Nate's ants:

180(2) = N + 122 so

360 = N + 122 and

N = 238

Nate has 238 ants in his farm.

4 0

3 years ago

A prism has a width of 3 feet, a height of 5 feet, and a volume of 210 ft3. Which equation shows the length of the rectangular p

EastWind [94]

Answer:

Step-by-step explanation:

Since the volume of a prism is length*width*height, and the width is 3 and the height is 5 and the volume is 210, you get the equation 3x5x length=210. Solving it, you get length=14.

5 0

4 years ago

Read 2 more answers

First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify eac

kobusy [5.1K]

Answer:

$1.\text{ }7x^4+5x^2+x-9$

The term with the greatest degree is $7x^4$

The polynomial has degree 4 and is classified as a quadratic polynomial of 4 terms.

$2.\text{ }7x^6-4x^3+1/x$

It is not a polynomial.

Explanation:

Polynomials are expressions with terms composed of monomials.

A monomial is an expression formed by the product of a coefficient (constant numbers, like 3, 4/5, or even a root), and a literal part.

The literal part may consist of one or more letters and each letter may be raised to a non-negative integer number (positive or zero).

Hence, for instance, (2/9)x²y⁵z⁴³ is a monomial.

The given expressions are:

$1.\text{ }7x^4+5x^2+x-9$

$2.\text{ }7x^6-4x^3+1/x$

$1.\text{ }7x^4+5x^2+x-9$

This expression is a polynomial formed by 4 terms or monomials.

The monomials are:

$7x^4,\\ \\ 5x^2,\\ \\ x,\text{ }and\\ \\ 9$

The degrees of each monomial are:

$7x^4,\text{ }degree\text{ }4\\ \\ 5x^2,\text{ }degree\text{ }2\\ \\ x,\text{ }degree\text{ }1,\text{ }and\\ \\ 9\text{ }degree\text{ }0$

Thus, the one with the greatest degree is $7x^4$ . It defines the degree of the of the polynomial; hence the polynomial has degree four and is classified as quartic polynomial of four terms.

$2.\text{ }7x^6-4x^3+1/x$

This is not a polynomial, because the letter in the last term, i.e. 1/x has a negative power:

$1/x=x^{-1}$

As stated above, the powers have to be positive integers or zero (for the constant term).

Some special names used to classify the polynomials are:

Degree 1 – linear

Degree 2 – quadratic

Degree 3 – cubic

Degree 4 – quartic

Degree 5 – quintic

You can find other classifications in your book or in the internet.

7 0

4 years ago