What is the least common multiple of 16, 24 and 30?

QUESTION POSTED AT 26/03/2020 - 02:40 PM

Related questions

What are the intercepts of 6x + 8y = 24? a.(4, 0) and (0, 1) b.(12, 0) and (0, 1) c.(3, 0) and (0, 4) d.(4, 0) and (0, 3)

6x + 8y = 24

x intercept is the value when y =0 & y intercept is the value when x=0


for y=0 ==> 6x+0 =24 ==> x=4 for x=0==> 0+8y =24 ==> y=3

(4,0) & (0,3) (ANSWER d)

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM

Is 24 to 26equivalent ratios??

No it is not equivalent

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

Kathleen deposits $20 into her account that earns 2.5% interest that is compounded twice a year . how much will she have in her account in 30 years ?

A=p (1+I/k)^kn
A=20×(1+0.025÷2)^(2×30)
A=42.14

ANSWERED AT 28/03/2020 - 12:43 PM


QUESTION POSTED AT 28/03/2020 - 12:43 PM

Which of the equations has a solution of 7. y - 41 = 48 m + 6= 1 z - 2 = 5 n + 50 = 30

The answer to th question is 7.

ANSWERED AT 28/03/2020 - 12:42 PM


QUESTION POSTED AT 28/03/2020 - 12:42 PM

Which of the equations has a solution of 7. y - 41 = 48 m + 6= 1 z - 2 = 5 n + 50 = 30

The third one because you plug 7 in for z
Z-2=5 turns into 7-2=5 which is true

ANSWERED AT 28/03/2020 - 12:42 PM


QUESTION POSTED AT 28/03/2020 - 12:42 PM

What is the least common multiple of 4 and 8

8 is the least common mutlible of4 and 8
8:   2224:   22 LCM:   222

The Least Common Multiple (LCM) is:   2 x 2 x 2 = 8

ANSWERED AT 28/03/2020 - 12:35 PM


QUESTION POSTED AT 28/03/2020 - 12:35 PM

Is 6 to 9 and 24 to 45 equivalent ratios

No, it would have to be 24:36 or 30:45

ANSWERED AT 28/03/2020 - 12:31 PM


QUESTION POSTED AT 28/03/2020 - 12:31 PM

Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?

A=s+30
8a+4s=840
8(s+30)+4s=840
12s+240=840
12s=600
s=50
a=50+30=80

Check:
80(8)+50(4)=640+200=840 CHECKS. 

80 Adults and 50 Students. 


ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

Frank wants to put fencing around the border of his rectangular lawn shown. He needs 16 feet of fencing. What is the length of the lawn?

There are manny answers to this
6ft, 6ft, 2ft, 2ft
5ft, 5ft, 3ft, 3ft
7ft, 7ft, 1ft, 1ft
 

ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

Three brothers spent $780. Marcos spent $30 more than Marc, Marc had twice as Nicoli. How much did Marcos spent?

First, divide 780 by 2.That is 390.

Then, subtract 30 from 390 which is 360.

then you divide that by two again (180), add the 30, and that's your answer :)

ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

The perimeter of the rectangle is 30 centimeters. What is the length of side c?

The answer would be 10

ANSWERED AT 28/03/2020 - 12:26 PM


QUESTION POSTED AT 28/03/2020 - 12:26 PM

These data show the age in years of 9 members of the youth orchestra. 12 14 16 17.5 10 18 15 15.5 19 What is the IQR (interquartile range) for these data?

First quartile is 13
Third quartile is 17.75
Take 17.75 - 13 = 4.75
The IQR is 4.75

ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM

Is Binary multiplication the same as regualar multiplication?

No because multiplication is reapeating the same steps

ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM

Help me please 24 point

The answer is C. 20% !

ANSWERED AT 28/03/2020 - 12:23 PM


QUESTION POSTED AT 28/03/2020 - 12:23 PM

What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11, 16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78, 99 A. 40.1 B. 35.6 C. 45 D. 50

To find the mean of a given data set, add up all the values then divide by how many numbers there are.


11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99 = 601

601 / 15 = 40.06666

Round the answer to 40.1 > Choice C is your answer

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

Which of the following is true regarding the sequence below? 7/12, 1/6, -1/4, 2/3 A. The sequence is arithmetic because there is a common difference of -5/12 B. The sequence is arithmetic because there is a common difference of 1. C. The sequence is not arithmetic because there is no common difference between the values of n. D. The sequence is not arithmetic because there is no common difference between the values of a_n.

Answer:

Option D.

Step-by-step explanation:

The given sequence is \frac{7}{12}, \frac{1}{6}, -\frac{1}{4}, \frac{2}{3}

Now this sequence will be an arithmetic sequence if there is a common difference.

To check the common difference we will subtract each term from the successive term.

T_{2}-T_{1}= \frac{1}{6}-\frac{7}{12}=-\frac{5}{12}

T_{3}-T_{2}=-\frac{1}{4}-\frac{1}{6}=-\frac{5}{12}

T_{4}-T_{3}=\frac{2}{3}+\frac{1}{4}=\frac{11}{12}

Therefore T_{2}-T_{1}=T_{3}-T_{2}\neq T_{4}-T_{3}

So the answer is option D.The sequence is not an arithmetic sequence because there is no common difference between a_{n}-a_{n-1}

ANSWERED AT 28/03/2020 - 12:18 PM


QUESTION POSTED AT 28/03/2020 - 12:18 PM

What is the greatest common divisor of 54 36 and 24

I believe the greatest common divisor would be 6.

hope this helps you! :-)

ANSWERED AT 28/03/2020 - 12:15 PM


QUESTION POSTED AT 28/03/2020 - 12:15 PM

What is the first quartile of the set of data shown below? 16, 23, 24, 39, 45, 78, 95 A. 45 B. 23 C. 24 D. 39

The answer would be B 23

ANSWERED AT 28/03/2020 - 12:11 PM


QUESTION POSTED AT 28/03/2020 - 12:11 PM

Ralph is an electrician. He charges an initial fee of $24, plus $33 per hour. If Ralph earned $189 on a job, how long did the job take?

Charge of Ralph:

Charge = $24  + $33 per hour

Let the time worked be = x.

For x hours, the cost = 33*x = 33x

Charge = 24 + 33x

24 + 33x = 189

33x = 189 - 24

33x = 165

x = 165/33

x = 5

The job took 5 hours.

I hope this helped

ANSWERED AT 28/03/2020 - 12:09 PM


QUESTION POSTED AT 28/03/2020 - 12:09 PM

Are 24to 16 and 8 to 4 equivalent ratios

Yes they are equivalent

ANSWERED AT 28/03/2020 - 12:09 PM


QUESTION POSTED AT 28/03/2020 - 12:09 PM

Are 6:24 and 9:45 ratios equivalent

No. If you do 6+1/3 and 24+1/3 it is not equal.

ANSWERED AT 28/03/2020 - 12:04 PM


QUESTION POSTED AT 28/03/2020 - 12:04 PM

Five times a number decreased by 24, is greater than 3 times the number. What numbers satisfy this condition?

5x-24>3x

hope this helps

ANSWERED AT 28/03/2020 - 12:03 PM


QUESTION POSTED AT 28/03/2020 - 12:03 PM

A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered a plane seating 150 people at a cost of $250 000. Additional costs to the agency are incidental fees of $300 per person. For each $30 that the price is lowered, one new person will sign up. How much should the price per person be lowered to maximize the profit for the agency?

So hmm let's take a peek at the cost first

so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x

so, more than likely an insurance agency is charging them 300x for coverage

anyway, thus the cost C(x) = 250,000 + 300x

now, the Revenue R(x), is simple is jut price * quantity

well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits

so... let's see what the price say y(x) is  \bf \begin{array}{ccllll}
quantity(x)&price(y)\\
-----&-----\\
80&5000\\
81&4970\\
82&4940\\
83&4910
\end{array}\\\\
-----------------------------\\\\

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 80}}\quad ,&{{ 5000}})\quad 
%   (c,d)
&({{ 83}}\quad ,&{{ 4910}})
\end{array}
\\\quad \\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30
\\ \quad \\\\
% point-slope intercept
y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\
\left.\qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y=-30x+7400

so.. now we know y(x) = -30x+7400

now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"

that simply means R(x) = -30x²+7400x


now, for the profit P(x)

the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)

P(x) = (7400x - 30x²) - (250,000+300x)

P(x) = -30x² + 7100x - 250,000

now, where does it get maximized? namely, where's the maximum for P(x)?

well \bf \cfrac{dp}{dx}=-60x+7100

and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum

ANSWERED AT 28/03/2020 - 12:02 PM


QUESTION POSTED AT 28/03/2020 - 12:02 PM

Which of the following represents a geometric sequence? A. 1/4, 1/4, 1/4, 1/4 B. 1/4, 1/5, 1/6, 1/7 C. 1/4, 1, -4, 16 D. 1/4, -4, 1/4, -4

Answer:  Option 'A' is correct.

Step-by-step explanation:

Since we need to find the geometric sequence ,

For this we find the " common ratio" :

\frac{a_2}{a_1}=\frac{a_3}{a_2}\\\\\frac{\frac{1}{4}}{\frac{1}{4}}=\frac{\frac{1}{4}}{\frac{1}{4}}\\\\1=1

On the other hand, in options 'B' , 'C' and 'D' , there is no common ratio,

Hence, Option 'A' is correct.


ANSWERED AT 28/03/2020 - 12:00 PM


QUESTION POSTED AT 28/03/2020 - 12:00 PM