Use the distributive property to create an equivalent expression to the equation 9(2j + 5j).

A book with 650 pages has 3 pages with diagrams.

Mrac [35]

The pages that have diagrams is an illustration of proportions

0.46% pages have diagrams

<h3>How to determine the percentage</h3>

The given parameters are:

Total = 650 pages

Diagrams = 3 pages

The percentage of page that has diagram is then calculated as:

$Diagram\% = \frac{Diagrams}{Total} * 100\%$

So, we have:

$Diagram\% = \frac{3}{650} * 100\%$

Evaluate the product

$Diagram\% = \frac{300}{650} \%$

Divide

$Diagram\% = 0.46 \%$

Hence, 0.46% pages have diagrams

Read more about proportions at:

brainly.com/question/1781657

3 0

1 year ago

A. 0.126<br> b. 0.313<br> c. 0.220<br> d. 0.688

nordsb [41]

First we need the total of both children and adults that like all the flavors:

12 + 5 + 20 + 23 + 11 + 16 = 87 total people

then find the number of adults that like sweet mint: from the table 11 adults like sweet mint

to find the probability divide the number of adults who like sweet mint by the total number of people:

11 / 87 = 0.126
the answer is A

4 0

3 years ago

Read 2 more answers

DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

$f : X \rightarrow Y$ is surjective implies there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ .
If there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ , then $f : X \rightarrow Y$ is surjective

Let us start by the first implication.

Our hypothesis is that the function $f : X \rightarrow Y$ is surjective. From this we know that for every $y\in Y$ there exist, at least, one $x\in X$ such that $y=f(x)$ .

Now, define the sets $X_y = \{x\in X: y=f(x)\}$ . Notice that the set $X_y$ is the pre-image of the element $y$ . Also, from the fact that $f$ is a function we deduce that $X_{y_1}\cap X_{y_2}=\emptyset$ , and because $f$ the sets $X_y$ are no empty.

From each set $X_y$ choose only one element $x_y$ , and notice that $f(x_y)=y$ .

So, we can define the function $h:Y\rightarrow X$ as $h(y)=x_y$ . It is no difficult to conclude that $f\circ h(y) = f(x_y)=y$ . With this we have that $f\circ h=1_Y$ , and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function $h:Y\rightarrow X$ such that $f\circ h=1_Y$ .

Take an element $y\in Y$ , then $f\circ h(y)=y$ . Now, write $x=h(y)$ and notice that $x\in X$ . Also, with this we have that $f(x)=y$ .

So, for every element $y\in Y$ we have found that an element $x\in X$ (recall that $x=h(y)$ ) such that $y=f(x)$ , which is equivalent to the fact that $f$ is surjective. Therefore, the prove is complete.

3 0

2 years ago

In a test of a gender-selection technique, results consisted of 248 baby girls and 13 baby boys. based on this result, what is

Rashid [163]

When it comes to probability, the answer is always expressed as part of a whole. With that being said, your answer for this problem can be a ratio, fraction or in percentage. Probability is the study of finding the chances or odds of an event happening with the use of statistics. You are already given the statistics of baby girls and baby boys. Note that you are asked to find the probability of the baby being a girl. So, the part here includes the 248, while the whole is 248+13 = 261. Therefore, the probability is 248/261 or 0.95 or 95%. That means that the likelihood of having a girl baby using this technique is very high.

6 0

3 years ago

Need help in algebra fast <br> Anything helps

alex41 [277]

Answer:

c

Step-by-step explanation:

For this question you can say d = 15 feet so we need the t then you can say :

15 = l 130 - 25t l ⇒ because of the absolute value you should say :

1) 130 - 25t = 15 ⇒ -25t = 15 - 130 ⇒ - 25t = -115 ⇒ t = 115/25 = 4.6 sec

2) 130 - 25t = - 15 ⇒ -25t = -15 - 130 ⇒ -25t = - 145 ⇒ t = 145/25 = 5.8 sec

so the answer is c :))

i hope this is helpful

7 0

2 years ago