All categories

4 years ago

What is −214⋅(−213) ? −514 −4112 4112 514

Mathematics

2 answers:

Ierofanga [76]4 years ago

5 0

Answer:

$5\frac{1}{4}}$

Step-by-step explanation:

$-2\frac{1}{4} \cdot -2 \frac{1}{3}$

Convert mixed fraction into improper fraction

$-2\frac{1}{4}=-\frac{9}{4}$

$-2\frac{1}{3}=-\frac{7}{3}$

$-\frac{9}{4} \cdot -\frac{7}{3}}$

Simplify the fraction. cancel out 9 and 3

$-\frac{3}{4} \cdot -\frac{7}{1}}$

Now multiply numerator with numerator and denominator with denominator. negative times negative becomes positive.

$\frac{21}{4}}$

$5\frac{1}{4}}$

Bezzdna [24]4 years ago

3 0

$\left(-2\frac{1}{4}\right)\times\left(-2\frac{1}{3}\right)=(-1)(-1)\left(\dfrac{9}{4}\cdot\dfrac{7}{3}\right)\\\\=\dfrac{3\cdot 3\cdot 7}{3\cdot 4}=\dfrac{21}{4}\\\\=5\frac{1}{4}$

You might be interested in

How many 1/3 yard lengths are in 1 yard

Jobisdone [24]

Answer:

Step-by-step explanation:

There are three 1/3 yard lengths in 1 yard since we cut it into three pieces.

8 0

3 years ago

Read 2 more answers

Help me plz only number 22

VikaD [51]

Just multiply the fractions by 32

3 0

4 years ago

Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x,

siniylev [52]

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: $20\leq 1.50x-6.50$ .

To find number of cups x to make a profit of at least $20 we will use our given inequality.

$20\leq 1.50x-6.50$

$20+6.50\leq 1.50x$

$26.50\leq 1.50x$

$x\geq \frac{26.50}{1.50}$

$x\geq \frac{53}{3}$

$x\geq 17.6666666$

Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.

5 0

3 years ago

If an urn has 5 white balls 10 red balls what is the probability that 5 randomly selected balls contain exactly 3 white balls?

kondaur [170]

Answer:

0.15

Step-by-step explanation:

Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.

====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.

Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = $\left[\begin{array}{ccc}5\\3\end{array}\right]$ × $\left[\begin{array}{ccc}10\\2&\end{array}\right]$ ÷ $\left[\begin{array}{ccc}15\\3\\\end{array}\right]$ = 450 ÷ 3003 = 0.15

3 0

3 years ago

Which situation could be represented by the graph?

Ymorist [56]

The correct option which resembles with the given graph is $\fbox{\begin\\\ optionA and optionC\\\end{minispace}}$ .

Further explanation:

From the given graph the it is observed that the interval is $[8,11)$ which is a half open interval or it can be said that it is a half closed interval.

A half closed or a half open interval is an interval in which one end point of the interval is included but the other point is not included.

For example:

In an interval of the form $[a,b)$ the point $a$ is included in the set but the point $b$ is not included in the set.

Similarly, in the interval $[8,11)$ the point $8$ is included in the set but the point $11$ is not included in the set.

In order to determine the correct option which resembles with given graph form interval for each option.

Option A:

As per the statement in option A the age of the student must be at least $8$ years and not more than $11$ years that is the age of the student is either $8$ years or greater than $8$ years and less than $11$ years.

As per the above statement the interval formed is $\fbox{\begin\\\ [8,11)\\\end{minispace}}$ in which $8$ is included in the set and $11$ is not included which means it is a half closed or half opoen interval.

Therefore, $\fbox{\begin\\\ optionA\\\end{minispace}}$ is a correct option.

Option B:

As per the statement in option B the amount of money the babysitter can earn is between $\$8$ and $\$11$ per hour.

As per the above statement the interval formed is $\fbox{\begin\\\ (8,11)\\\end{minispace}}$ in which both of the end points are not included in the set which means that it is an open interval.

Therefore, $\fbox{\begin\\\ optionB\\\end{minispace}}$ is an incorrect option.

Option C:

As per the statement in option C the time required to complete a program in college cannot be less than $8$ hours and the time must be less than $11$ hours.

From the above statement it is concluded that the time required can be $8$ hours or more than $8$ hours but it has to be less than $11$ hours.

So, as per the above the statement the interval formed is $\fbox{\begin\\\ [8,11)\\\end{minispace}}$ .

Therefore, $\fbox{\begin\\\ optionC\\\end{minispace}}$ is a correct option.

Option D:

As per the statement in option D the age of the dogs is either $8$ years old or below $8$ years and age of the dog must be greater than $11$ tears.

As per the above statement the interval formed is $\fbox{\begin\\\ (-\infty,8) \bigcup(11,\infty)\\\end{minispace}}$ .

Therefore, the $\fbox{\begin\\\ optionD\\\end{minispace}}$ is an incorrect option.

So, $\fbox{\begin\\\ optionA and optionC\\\end{minispace}}$ are the correct options which resembles with the given graph.

Learn more:

A problem on composite function brainly.com/question/2723982
A problem to find radius and center of circle brainly.com/question/9510228
A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sets

Keywords: Interval, set, open interval, closed interval, half open interval, half closed interval, set theory, program, community college, babysitters, veterinary clinic, ages, students.

5 0

3 years ago

Read 2 more answers