16 is the least common multiple of which set of numbers?

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A car covers the distance between two cities in 6 hours.

A van covers the same distance in 5.5 hours.

The speed of the van is 4 km per hour faster than the speed of car.

Let assume that

Speed of the car be x km per hour

So,

Speed of van is x + 4 km per hour.

Let further assume that

Distance between two cities be y km.

We know, Distance covered = Speed × Time.

➢ Now, Distance (y) covered by car at the speed of x km per hour in 6 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 6x}} - - - - (1)[/tex]

➢ Also, Distance (y) covered by van at the speed of x + 4 km per hour in 5.5 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 5.5(x + 4)}} - - - - (2)[/tex]

So, from equation (1) and (2), we have

[tex]\rm :\longmapsto\:6x = 5.5(x + 4)[/tex]

[tex]\rm :\longmapsto\:6x = 5.5x + 22[/tex]

[tex]\rm :\longmapsto\:6x - 5.5x = 22[/tex]

[tex]\rm :\longmapsto\:0.5x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{5}{10} \times x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{1}{2} \times x = 22[/tex]

[tex]\bf\implies \:x = 44[/tex]

On substituting the value of x, in equation (1), we have

[tex]\rm :\longmapsto\:y = 6 \times 44[/tex]

[tex]\bf\implies \:y = 264[/tex]

So,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{Distance \: between \: cities = 264 \: km} \\ \\ &\sf{Speed \: of \: car \: = \: 44 \: km \: per \: hour}\\ \\ &\sf{Speed \: of \: van \: = \: 48 \: km \: per \: hour} \end{cases}\end{gathered}\end{gathered}[/tex]

Answer:

Step-by-step explanation:

Yes. because In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers

Answer:

yes

Step-by-step explanation:

Irrational numbers are numbers that simply are not rational, and cannot be written as a fraction, though they cna be written as a decimal. Irrational numbers msot of the time have a lnog row of non-repeating numbers after the decimal. So, yes.

2.346982105 is an irracional number

Answer:

You cant

Step-by-step explanation:

To make 100, you cant have a solid number of 14's to make 100. The closest to 100 is 14 * 7.

Answer:

b=5 should be the correct answer

Answer:

-26

Step-by-step explanation:

b = -5 and c = 7, Plug in:

b - 3c

-5 - 3(7)

-5 - 21

-26

Hopefully this helps!

Brainliest please?

Answer:

have you been cheating and your answer i think is number 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

U ultra

Answer:

(12+17)-(3x2)

Step-by-step explanation:

Answer:

12+17-(3x2)

Step-by-step explanation:

You do multiblecation before addition so you put it in parenthesis

Answer:

160

Step-by-step explanation:

the middle letters ttell you which corner of the triangle has that degree.

all corners added together must equal 180 in a triangle

jkl has k in the middle so k is 3°

kjl has J in the middle so J is 17°

jlm has L in the middle and is unknown

K + J + L = 180

3+17+L = 180

20 + L = 180

L = 160

Answer:160 degrees

Step-by-step explanation:

180-3-17=160

All triangles neasure 180 degrees

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

[tex]7x + 49 = 2x + 94 \\ 7x - 2x = 94 - 49 \\ 5x = 45 \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

I hope I helped you^_^

Answer:

6. [tex]\pi = \frac{C}{2r}[/tex]

7. Translation

Step-by-step explanation:

6: To solve for π means to isolate it on one side.

Step 1: Divide both sides by 2r.

Therefore, π = circumference over twice the radius, or circumference over diameter.

7: #7 is a translation because each point is moving vertically 3 units and horizontally 1 unit (3 units up and 1 unit to the right). If it were a reflection, we'd be able to spot a line of reflection, but there isn't any here. Also, if it were a rotation, the triangle would change the way its angled, and it'd be in a different quadrant

Therefore, this is a translation.

Answer:

a = 27

Step-by-step explanation:

3x + 6y = a

From the given information, 3 and 6 are the numbers of passengers that cars and vans can take. That means x and y must be the numbers of cars and vans, and a is the total number of passengers.

a = 27

Answer:

If you mean 10/9 then the answer should be 1.1 repeating itself

Step-by-step explanation:

Answer:

1.111

Step-by-step explanation:

10/9 = 1.111

( i rounded 10/9 to a decimal)

am not 100% about this but hope it help

Answer:

x=94/5

Step-by-step explanation:

10x-8=180

10x=188

x=188/180

x=94/5

Answer:

114 feet

Step-by-step explanation:

Since the rate per minute is 38 ft per minute. You multiply that by three and get your rate for 3 minutes.

Answer:

114

Step-by-step explanation:

 38

 38

+38

 114

Hope this helps!

Brainliest pls

Have a great day!

Answer:

Im pretty sure is B but it might be C.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

this is so easy just plug the question in

Answer:

D.y= mx + b

Step-by-step explanation:

Slope-intercept is a specific form of linear equations. It has the following general structure

y= mx + b

Here, m can be any two real numbers. For example, these are linear equations in slope-intercept form:

y=2x+1

y=-3x+2.7y

y=10-100x

On the other hand, these linear equations are not in slope-intercept form:

2x+3y=5

y-3=2(x-1)y−3=2(x−1)

x=4y−7

Slope-intercept is the most prominent form of linear equations

Answer:2x²-2x + 6 - (-3x)

Step-by-step explanation:

Answer:2 and 10

Step-by-step explanation:

a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.

b. 2y = 3x + 1

y = 3x/2 + 1/2

Perpendicular = negative reciprocal of original function's slope.

3/2 -> -2/3x.

Only the first one fulfills the equation, thus:

-2/3x + 3.

(1) The slope of line b is 0.35. The correct option is A.

(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.

The slope of line b,

b = 0.2 + a

b = 0.2 + 0.15

b = 0.35

(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-

The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,

y = -2/3x + 3

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

[tex]s=-1[/tex]

Step-by-step explanation:

[tex]7=-10s-3[/tex]

[tex]-10s-3=7[/tex]

Add 3 to both sides:

[tex]-10s-3+3=7+3[/tex]

[tex]-10s=10[/tex]

Divide both sides by -10:

[tex]\frac{-10s}{-10}=\frac{10}{-10}[/tex]

[tex]s=-1[/tex]

____________________

Answer:

resource management agency

Step-by-step explanation:

An arithmetic sequence is a sequence where we use addition or subtraction to get to the next term.

Examples:

1, 3, 5, 7, 9...

Common Difference: Add 2

2, 6, 10, 14, 18, 22..

Common Difference: Add 4

100, 90, 80, 70, 60, 50..

Common Difference: Subtract 10.

25, 30, 35, 40, 45..

Common Difference: Add 5

1, 10, 19, 28, 37..

Common Difference: Add 9

Hope it helps!

[tex]ANSWERED:\\GraceRosalia[/tex]

Answer:

At least 66%

Step-by-step explanation:

65% of 18 is 11.7

67% of 18 is 12.06

Therefore, at least 66% of the shots where made by Michael.

Step-by-step explanation:

100% = 18

x% = 12

x% = 100% / 100 × x

so,

18/100 × x = 12

18x = 1200

x = 1200/18 = 200/3 ≈ 66.66666...

so, he made about 67% of the shots.

Answer:

B) Inside the nucleus of an atom are protons and electrons.

Explanation:

Inside the nucleus of an atom are protons and neutrons. Electrons orbit (kind of?) away from the nucleus.