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3 years ago

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books does he have now?

1 answer:

7 0

Let's create a variable to represent the size of Ruben's book collection prior to his buying the new books.

B = number of books in Ruben's collection before buying new ones

So, we know that when he bought 6 books, this increased his collection by 12%.

12% of his book collection would be represented by 0.12B. Therefore, we know that:

0.12B = 6

Divide both sides by 0.12, to get to B = 50.

However, you are being asked how many books does he have now. B represents the number of books he had before. Therefore you want to add back the 6 books he just bought.

The answer is 50 + 6 = 56

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A biking track has a length of 0.8 miles mi. How long is this in feet ft?

Sedbober [7]

Answer:

4224

Step-by-step explanation:

.8 mile = 4224 feet

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Which number completes this number sentence? [ ? ] > -6 A.-8 B.-7 C.-6 D.0

Xelga [282]

Answer:

It is 0

Step-by-step explanation:

Unlike the positive side of the number line which increases its value as it goes up in numbers, the negative side of a number line increases its value as it goes goes down in numbers as the more closer a negative number is to the positive side of infinity, the greater value it has. In this instance, zero is the greater number than -6 and all other negative numbers.

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3 years ago

The area formed by a plane cutting through a solid perpendicular to its axis is a

kvasek [131]

cross is my best answer

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3 years ago

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Please help and thank you!

Stolb23 [73]

The conversion is

$x = r \cos \theta$

$y = r \sin \theta$

$\dfrac y x = \tan \theta$

We're given the fairly unusual

$\theta = -\frac 5 2$

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.

$\dfrac y x = \tan \theta = \tan(-5/2) \approx 0.747$

Ah, there's our .75. The approximate answer is

$y = 0.75 x$

Third choice.

The exact answer is

$y = x \tan( -\frac 5 2)$

also a line through the origin.

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3 years ago

Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?

Paraphin [41]

Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.

Step-by-step explanation:

Is the expression 3x^2-5x^3 a polynomial?

So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."

So let's take a look at this expression.

Does it consist of variables and coefficients? YES

Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES

Therefore, it is a polynomial.

Now, we have to figure out what degree this polynomial is.

The degree of the polynomial is the degree of the monomial with the largest degree.

So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.

And also, keep in mind that this is a binomial (made up of two monomials).

Therefore, it is a fifth degree binomial or 'quintic binomial'.

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3 years ago