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
laila [671]
3 years ago
12

Find four consecutive multiples of 3 such that the product of the first, third, and fourth is 1080

Mathematics
1 answer:
Dovator [93]3 years ago
7 0

Answer:

<u>Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.</u>

Step-by-step explanation:

Let's find the factors of 1,080, as follows:

1,080 Dividing by 2 (1,080/2)

540 Dividing by 2 (540/2)

270 Dividing by 2 (270/2)

135 Dividing by 3 (135/3)

45 Dividing by 3 (45/3)

15 Dividing by 3 (15/3)

5 Dividing by 5 (5/5)

1

In consequence, we have:

5 * 3 * 3 * 3 * 2 * 2 * 2

Let's find out what multiples of 3 there are:

5 * 3 = 15 is a multiple of 3,

And 3 * 3 * 2 * 2 * 2 is remaining.

3 * 2 = 6 is also a multiple of 3,

And 3 * 2 * 2 is remaining

3 * 2 * 2 = 12 is also a multiple of 3.

<u>Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.</u>

You might be interested in
To rent a certain meeting room, a college charges a reservation fee of $ 46 and an additional fee of $ 6.40 per hour. The chemis
lisabon 2012 [21]

Answer:

Up to 5 hours

Step-by-step explanation:

<u>Given:</u>

  • One off fee = $46
  • Hourly rent = $6.4 / hr
  • Amount limitation= $78

<u>Equation to reflect the condition:</u>

  • 78 = 46 + 6.4t
  • 6.4t = 78 - 46
  • 6.4t = 32
  • t = 32/6.4
  • t = 5 hours max

So, the meeting room can be rented for up to 5 hours with $78

8 0
2 years ago
S the following statement always, sometimes, or never true?
liubo4ka [24]

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Step-by-step explanation:

Let us revise some facts about the supplementary angles

  • Supplementary angles are two angles the sum of their measure is 180°
  • The two angles could be right angles or one of them is acute and the other is obtuse
  • The two angles can not be acute angles or obtuse angles

Let us take some examples to explain the facts above

∵ One of two supplementary angles is a right angle

∵ The measure of the right angle is 90°

∵ The sum of the measures of the supplementary angles is 180°

∴ 90 + the measure of the supplement angle = 180

- Subtract 90 from both sides

∴ The measure of the supplement angle = 90°

∴ The supplement of a right angle <u><em>must be</em></u> a right angle

∵ One of two supplementary angles is 70°

∵ Its measure less than 90°

∴ This angle is an acute angle

∵ The sum of the measures of the supplementary angles is 180°

∴ 70 + the measure of the supplement angle = 180

- Subtract 70 from both sides

∴ The measure of the supplement angle = 110°

∵ Its measure greater than 90°

∴ The supplement angle is an obtuse angle

∴ The supplement of an acute angle <u><em>must be</em></u> an obtuse angle

The two supplementary angles can not be acute angles because their sum is less than 180°

The two supplementary angles can not be obtuse angles because their sum is greater than 180°

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Learn more:

You can learn more about the supplementary angles in brainly.com/question/11175936

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Nichol walks at a constant pace of 1.2 m/s and takes 15 minutes to get to school.
liraira [26]

Answer:

The difference between the distances they walked is 600 meters.

Step-by-step explanation:

Let's calculate the distance traveled by Nichol and Sakura with the following equation:

d = v*t

Where:

v: is the speed

t: is the time

The distance traveled by Nichol is:

d_{n} = 1.2 m/s*15min*\frac{60 s}{1 min} = 1080 m

And the distance traveled by Sakura is:

d_{s} = 1.4 m/s*20 min*\frac{60 s}{1 min} = 1680 m

Hence, the difference between the distances they walked is:

d_{t} = d_{s} - d_{n} = 1680 m - 1080 m = 600 m

Sakura traveled 600 meters more than Nichol.

Therefore, the difference between the distances they walked is 600 meters.

               

I hope it helps you!                    

4 0
2 years ago
A scale drawing of a building is one foot to 1/4 inch. What is the actual length of the building if the scale drawing shows that
Rom4ik [11]
1\quad foot\quad :\quad \frac { 1 }{ 4 } \quad inch\\ \\ 4\quad \cdot \quad 1\quad foot\quad :\quad \frac { 1 }{ 4 } \quad inch\quad \cdot \quad 4\\ \\ 4\quad feet\quad :\quad 1\quad inch

This means that:

4\quad feet\quad :\quad 1\quad inch\\ \\ \frac { 27 }{ 2 } \cdot \quad 4\quad feet\quad :\quad \frac { 27 }{ 2 } \cdot \quad 1\quad inch\\ \\ \frac { 108 }{ 2 } \quad feet\quad :\quad \frac { 27 }{ 2 } \quad inches\\ \\ 54\quad feet\quad :\quad \frac { 27 }{ 2 } \quad inches\\ \\

13 + 1/2 inches is the same as 54 feet
4 0
3 years ago
Read 2 more answers
The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o
ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is (7,2834)

Y-intercept is (0,4682)

X-intercept is (17.73,0)

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

y= -264\ x+4682

where y is the number of stores and x represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution (7,?)

For the ordered pair, we are given the x value which is =7 i.e 7 years after 1990. Thus we will plugin x=7 in the linear equation to get the y value which is number of stores after 7 years from 1990.

y= -264\ (7)+4682

y= -1848+4682

y= 2834

Thus the ordered pair is (7,2834)

To find y-intercept which is the point where the line touches the y-axis, we would plugin x=0 in the equation as the x-coordinate is 0 at y-axis.

y= -264\ (0)+4682

y= 0+4682

y=4682

Thus y-intercept is at point (0,4682)

To find x-intercept which is the point where the line touches the x-axis, we would plugin y=0 in the equation as the y-coordinate is 0 at x-axis and thus for x

0= -264\ x+4682

Subtracting both sides by 4682.

0-4682= -264\ x+4682-4682

-4682= -264\ x

Dividing both sides by -264

\frac{-4682}{-264}= \frac{-264\ x}{-264}

17.73= x

∴ x=17.73

Thus x-intercept is at point (17.73,0)

5 0
3 years ago
Other questions:
  • PLEASE HELP<br><br><br>a 20% tip on a $24 dinner bill is how much money​
    7·2 answers
  • Find the y-intercept of the line. Y=16/13x - 19/6
    8·2 answers
  • There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflowe
    8·1 answer
  • Help I have no clue how to do this
    14·1 answer
  • What is the slope?<br> (0, 4)<br> (2, 10)
    7·2 answers
  • Find the slope of a line perpendicular to the equation 3x-y=6
    5·1 answer
  • Help guys I would appreciate ​
    13·1 answer
  • Hi I need help can somone also give me and explain or how to work out the answer​
    8·1 answer
  • A store is having a sale in which the cost of any item is 35% off.
    12·1 answer
  • The cube shown below holds 64 cubic centimeters of water. Label the dimensions of the cube.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!