1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OlgaM077 [116]
4 years ago
5

The first five multiples for the numbers 4 and 6 are shown below. Multiples of 4: 4, 8, 12, 16, 20, . . . Multiples of 6: 6, 12,

18, 24, 30, . . . What is the least common multiple of 4 and 6?
Mathematics
2 answers:
inn [45]4 years ago
5 0

Answer: The least common multiple of 4 and 6 is 12 because this is the smallest positive integer that is divisible by both 4 and 6.

Step-by-step explanation:

  • The least common multiple of two integers m and n is the least positive integer that is divisible by both m and n.

We are given that :

The first five multiples for the numbers 4 and 6 are shown below.

\text{ Multiples of 4: 4, 8, 12, 16, 20, . . . }\\\\\text{Multiples of 6: 6, 12, 18, 24, 30, . . . }

We can see that from the multiples of 4 and 6 , the least common multiple of 4 and 6 =12 such that 12 is divisible by 4 and 6 .

lubasha [3.4K]4 years ago
5 0

Step-by-step explanation:

12 boom

You might be interested in
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

3 0
2 years ago
Which statement about the cylinder are true? Select two options
shutvik [7]

Answer:

\ur \: answer)

Step-by-step explanation:

<h2><em><u>THE</u></em><em><u> </u></em><em><u>RÅDIÜS</u></em><em><u> </u></em><em><u>ØF</u></em><em><u> </u></em><em><u>THE</u></em><em><u> </u></em><em><u>CYLI</u></em><em><u>NDER</u></em><em><u> IS</u></em></h2><h2><em><u>\frac{1}{2} x \: units</u></em></h2>

<em><u>THE</u></em><em><u> </u></em><em><u>HEI</u></em><em><u>GHT</u></em><em><u> OF</u></em><em><u> </u></em><em><u>CYLI</u></em><em><u>NDER</u></em><em><u> IS</u></em><em><u> </u></em><em><u>4</u></em><em><u>X</u></em><em><u> </u></em><em><u>UNITS</u></em><em><u> </u></em><em><u>.</u></em>

<em><u>☞</u></em><em><u>ÙR</u></em><em><u> ÃÑSWER</u></em><em><u> </u></em><em><u>HØPE</u></em><em><u> IT</u></em><em><u> HELPS</u></em><em><u> YOU</u></em><em><u> ✌️</u></em>

5 0
3 years ago
What is the volume of a cone with a radius of 4 centimeters and a height of 5 centimeters?
vovangra [49]

Answer:

83.79 cm²

Step-by-step explanation:

(please refer to attached)

recall that the volume of a cone is given by

V = (1/3) π r² h

where

r = radius = given as 4 cm

h = height = given as 5 cm

assume π = 3.142

substituting the values into the formula:

V = (1/3) π r² h

V = (1/3) (3.14) (4)² (5)

V = 83.79 cm²

8 0
3 years ago
Solve for x.<br> <br> 13x + 7 = 5x - 20
myrzilka [38]
The answer is -27/8= -3.375
7 0
3 years ago
Read 2 more answers
C an anyone solve this 3(2b + 3)2 = 36<br> and if so what is it
Natali [406]
3(2b + 3)^2 = 36

Divide by 3 on both sides:
(2b + 3)^2 = 12

Square root both sides:
2b + 3=  \pm \sqrt{12}

Take away 3 from both sides:
2b= \pm \sqrt{12} - 3

Divide by 2 on both sides:
b=  \dfrac{ \sqrt{12} -3 }{2}  \ or \ b=  \dfrac{ -\sqrt{12} -3 }{2}

Answer:
b=  0.23 \ or \ -3.23


5 0
3 years ago
Read 2 more answers
Other questions:
  • A.
    9·1 answer
  • How do you solve 2 x 4 1/4
    5·2 answers
  • Find the geometric mean of the pair of numbers
    10·1 answer
  • What’s the answer for Leah cuts a 7 inch piece of ribbon into pieces that are 1/2 an inch long . How many pieces of ribbon did s
    5·2 answers
  • the distance between bay town and oak glen is 175 miles. if the equation y=-x+ 175 represents the distance left to travel to oak
    10·2 answers
  • It n is odd, which represents the first consecutive even inter after n
    11·1 answer
  • Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,
    8·1 answer
  • The length of a rectangle is 1m more than twice its width, and the area of the rectangle is 66m2. Find the dimensions of the rec
    6·1 answer
  • PLZ ANSWER THESE U DONT HAVE TO PUT A EXPLANATION
    6·1 answer
  • PLEASE HELP!! Need by 3/29/22!<br> Find the area of these shapes
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!