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Daniel [21]
3 years ago
13

of the 5th grade students, 15/20 went to the book fair. Of the students who went to the book fair, 12/16 bought ay least one boo

k. What fraction of the 5th grade students boughtat least one book?
Mathematics
2 answers:
ycow [4]3 years ago
6 0

Answer:

9/16  of the students

Step-by-step explanation:

first you can simplify 15/20 to 3/4

you can simplify 12/16 to 3/4

3/4*3/4=9/16

kolezko [41]3 years ago
4 0

Answer:

9/16

Step-by-step explanation:

That is 12/16 of 15/20

= 3/4 * 3/4

= 9/16

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Given:An = [6 n/(-4 n + 9)]For both of the following answer blanks, decide whether the given sequence or series is convergent or
Mrrafil [7]

Answer:

The sequence is convergent and the serie is divergent.

Step-by-step explanation:

Sequence:

We calculate the limit when n tends to infinity to see if it is convergent or divergent:

\lim_{n \to \infty} \frac{6n}{-4n+9} = \frac{6}{-4} = \frac{-3}{2} \neq 0 then, the sequence is convergent.

Serie:

\sum_{n=1}^{\infty} (\frac{6n}{-4n+9}). To know if it converges we are going to use the limit test:

\lim_{n \to \infty} a_n. If this limit is non equal to 0 the serie diverges.

\lim_{n \to \infty} \frac{6n}{-4n+9} = \frac{6}{-4} = \frac{-3}{2} \neq 0, then the serie diverges.

7 0
4 years ago
a forty-foot rope was cut into two pieces. The length of one piece is 9 times the length of the other. What is the length of the
Free_Kalibri [48]
In the question , the length of the actual rope is given as 40 foot. Also it is given that the length of one rope after cutting the original piece of rope into 2 pieces is 9 times that of the other pice.
Let us assume that the length of one piece of rope is = X
Then the length of the orther pice of rope = 9X
Now we can easily get the equation
X + 9X = 40
10X = 40
X = 40/10
X = 4
So the length of the shorter rope is 4 foot.
The length of the longer rope is 9 times that of the shorter one.
So the length of the longer rope is 36 foot. 
5 0
3 years ago
Given the functions f(x) = x3 + x2 – 3x + 4 and g(x) = 2x – 4, what type of functions are f(x) and g(x)? Justify your answer. Wh
8090 [49]

The first function is a type of cubic function and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The function given in the problem is:

f(x) = x³ + x² – 3x + 4

The highest degree (power) of this function is 3. Thus, this function is a type of cubic function.

The second function given in the problem is:

g(x) = 2x – 4

The highest degree (power) of this function is 1. Thus, this function is a type of linear function.

Both the function has the value of domain and range from -∞ to ∞ (-∞,∞).

Thus, the first function is a type of cubic function and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).

Learn more about Function here:

brainly.com/question/5245372

#SPJ1

4 0
2 years ago
Heng was trying to factor 10x² + 5x. She found that the greatest common factor of these terms was 5%
marta [7]

Answer:

2x+1

Step-by-step explanation:

I did the math

4 0
3 years ago
I’ll mark brainest! Find all the real cube roots of -0.000125
Ymorist [56]

Answer:

-0.05

Step-by-step explanation:

This will become much easier if we can get the ugly decimal into a nice fraction form.

Start by recognising \frac{1}{8}=0.125. This is almost correct except the fraction is out by some number of factors of 10 (because the 125 part is correct but the number of 0s isn't).

\frac{1}{80} = 0.0125\\\frac{1}{800}=0.00125\\\frac{1}{8000}=0.000125

And hence we see that -0.000125=-\frac{1}{8000} and now the cube root becomes easy to compute:

\sqrt[3]{-0.000125} = \sqrt[3]{\frac{-1}{8000}} = \frac{\sqrt[3]{-1}}{\sqrt[3]{8000}} = \frac{-1}{20} = -0.05.

Advanced: You ask for <em>all </em>real cube roots. however the function y=\sqrt[3]{x} is described as <em>bijective</em>. This means for all x, there is only one y corresponding to it. (And also for all y there is only one x corresponding to that). This means there can only ever be one cube root of any real number.

4 0
3 years ago
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