What is the lowest common denominator of the following set of fractions:1/6, 13/27, 4/5, 3/10, 2/5?

The approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

The missing part of the question is represented by the following function:

[tex]T(h) = \frac{386 + 110h}{h}[/tex]

10:00 a.m is 3 hours after 7:00 am and 1:00 p.m is 6 hours after 7:00 am.

This means that:

h = 3 at 10:00 am

h = 6 at 1:00 pm

Next, we calculate T(3) and T(6)

[tex]T(3) = \frac{386 + 110*3}{3} =238.7[/tex]

[tex]T(6) = \frac{386 + 110*6}{6} =174.3[/tex]

The average rate of change is then calculated as:

[tex]T'(h) = \frac{T(3) - T(6)}{3 - 6}[/tex]

This gives

[tex]T'(h) = \frac{238.7 - 174.3}{-3}\\[/tex]

Evaluate

T'(h) = -21

This means that the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

Read more about average rates of change at:

https://brainly.com/question/8728504

#SPJ1

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-3)]^2 + [0 - 4]^2}\implies d=\sqrt{(1+3)^2 +(-4)^2} \\\\\\ d=\sqrt{32}\implies d\approx 5.66[/tex]

When the vertex of a parabola is at the point (3,1), and its focus is at (3,5), the function that the graph represents will be y = 1/16 (x - 3)².

From the information given, the vertex of a parabola is at the point (3,1), and its focus is at (3,5). The equation of the parabola will be:

(x - 3)² = 4a(y - 1)

The length is measured along x = 3. The final equation of the parabola will be:

(x - 3)² = 4 × 4(y - 1) = 16(y - 1)

Therefore, rearranging the equation will become:

y = 1/16 (x - 3)².

Learn more about parabola on:

brainly.com/question/14005027

#SPJ1

Answer:

why would you ask question with no answer options an think to get the same right answer ?

Step-by-step explanation:

Answer:

yes you can go 24.3miles with 15.3 gallons of gas

Step-by-step explanation:

Answer: [tex]fx[/tex]

The slope is 0, and

the y-intercept is (0, 0)

[tex]\left[\begin{array}{ccc}x&y\\0&0\\1&0\end{array}\right][/tex]

In order to find the graph of "f(x)", we need to graph the line using the slope and y-intercept, or two points.

A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.

The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.

The sum of supplementary angles is equal to 180-degrees. From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

Learn more about parallelogram on:

brainly.com/question/15584566

#SPJ1

Answer:

D    Supplementary   BC    D

Step-by-step explanation:

did on edgu 2022 !!

Answer:

[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]

Step-by-step explanation:

-> Apply log rules

[tex]\log _3\left(x^{\frac{1}{2}}\right)-2\log _3\left(y+8\right)[/tex]

->

[tex]\log _3\left(x^{\frac{1}{2}}\right)-\log _3\left(\left(y+8\right)^2\right)[/tex]

-> Apply basic math rules

[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]

Answer:

x * 3 + 13 ≤ 7

Step-by-step explanation:

three times a number

x * 3

13 more than that

x * 3 + 13

less than or equal to 7

x * 3 + 13 ≤ 7

Please mark as brainliest

In the triangle represented in the diagram, The value of X is: 23°

A triangle can be defined as a plain shape that has three sides, three edges and three angles.

A triangle is majorly defined as a shape that possesses three angles and their interior angles sum up to 180°

In conclusion, in the triangle represented in the diagram, The value of X is: 23°

Learn more about Triangles: https://brainly.com/question/1058720

Considering the sum of the internal angles of a triangle, it is value that the value of x is of x = 23º.

A triangle has three angles, and their sum is of 180º.

In this problem, the angles are:

x, 67º, 90º.

Hence:

x + 67º+ 90º = 180º.

x = 23º.

More can be learned about the sum of the internal angles of a triangle at https://brainly.com/question/25215131

#SPJ1

Answer:

should be the first one -inf < y < inf

Answer:

105

Multiples of 35:
35, 70, 105, 140, 175

Multiples of 21:
21, 42, 63, 84, 105, 126, 147

Answer:

105

Step-by-step explanation:

Given the following question:

We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.

[tex]35\div7=5[/tex]
[tex]21\div7=3[/tex]
[tex]GCM=7[/tex]

Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.

[tex]35\times21=735[/tex]
[tex]735\div7=105[/tex]
[tex]LCM=105[/tex]

The least common multiple is "105."

Hope this helps.

Answer:

See below.... several options

Step-by-step explanation:

Change is $3.56

  3 dollar bills    one 50 c piece     one nickel      one penny

  (though 50 cent  pieces are uncommon.....this may be 2 quarters)

[For a while , there was $ 2 bills

   so it could be   one 1 dollar bill and one $ 2 bill instead of three dollar bills]

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly , Option B is the correct answer.

When a quantity of one variable is increased and the value of the other also increases then they are said to be in direct variation.

For the data to be in direct variation

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.

The points in any linear equation can only fluctuate directly, therefore all points will lie on the same line.

Option B is the correct answer.

To know more about Direct Variation

https://brainly.com/question/14254277

#SPJ1

Answer:

ez b

Step-by-step explanation:

Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.

It is used when the two triangles given have three equal corresponding sides which also have equal angles.

All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.

Find out more on the SSS rule at https://brainly.com/question/20295863.

#SPJ1

Answer: pi/4 and -1

Step-by-step explanation:

Answer:

around 190

Step-by-step explanation:

Answer:

I can helpyou with that but im not sure with it

Answer:

Hi,

Step-by-step explanation:

The triangles CBA and DEA are equals ( 3 sides 2 to 2 equals), angles CAB and DAE are also equals:

6t-12=18-4t

10t=30

t=3(°)

angle CAB=6t-12=6*3-12=6(°)=angle(DAE)

angle BCA=(180-6)/2=87(°)=angle CBA=angle (ADE)=angle(DEA)

Answer:

The period is 2π

Explanation:

The period is 2 times pi because 2 is the standalone-term multiplied by pi to get the period.

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
   30x - 6x + 100 = 400
           24x + 100 = 400
                     24x = 300
                         x = 12.50

Answer:

A triangle has side lengths 10 feet, V205 feet, and V105 feet

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

∠ CZD = 90° , then

∠ CZF = 90° - ∠ FZD = 90° - 40° = 50°

∠ FZD and ∠ AZG are vertically opposite angles and are congruent , so

∠ AZG = 40°

∠ CZF and ∠ GZE are vertically opposite angles and are congruent , so

∠ GZE = 50°

E

∠ AZB + ∠ BZC = 90° , that is

3x - 2 + 32 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

D.

Step-by-step explanation:

You can see it in the graphs after you plot it.

Answer:

4/25

Step-by-step explanation:

total no of children-15

total no of mothers-50

probability that a mother has i child

1/50

=8/50

=4/25

Answer:

0.16

Step-by-step explanation:

A group of 50 mothers were asked how many children they have. the

table shows the results.

number of children     1      2      3     4     5    

number frequency      8     12    10     14    6

What is the experimental probability of a mother having 1

child?

Total number of mothers = 8 + 12 + 10 + 14 + 6 = 50

Number of mothers with 1 child = 8

p(1 child) = 8/50 = 0.16

Answer:

12

Step-by-step explanation:

12/3=4

4*3=12

Hope this helps!

If not, I am sorry.

Answer:

12

Step-by-step explanation:

The quotient of a number and three is four. What is the number?

The word problem can be written as:

[tex]\sf{\dfrac{x}{3}=4}[/tex]

1. Multiply both sides by 3:

[tex]\sf{3\left(\dfrac{x}{3}\right)=4(3)}\\\\\implies x=12[/tex]

2. Check your work:

[tex]\sf{\dfrac{12}{3}=4}\\\\\implies 4=4 \ \checkmark[/tex]

Therefore, the number is 12.

Learn more here:

brainly.com/question/20459154

Answer:

x= 131

y = 49

Step-by-step explanation:

X and 49 form a straight line so they add to 180

x+49 = 180

x = 180-49

x =131

49 and y are alternate interior angles and alternate interior angles have the same value

y = 49

Step-by-step explanation:

please mark me as brainlest

The solution to the questions are:

As a general rule, the sum of cubes x³ and y³ is:

x³ + y³= (x+y)(x² - xy + y²)

Replace x with a and y with b

a³ + b³= (a + b)(a² - ab + b²)

Hence, the expression that represents the factoring pattern is (a + b)(a² - ab + b²)

The equation is given as:

x³ + 2x² - 9x = 18

Subtract 18 from both sides

x³ + 2x² - 9x - 18 = 0

Factorize the expression

x²(x + 2) - 9(x + 2) = 0

Factor out x + 2

(x²- 9)(x + 2) = 0

Express x²- 9 as a difference of two squares

(x + 3)(x - 3)(x + 2) = 0

Split

(x + 3)  = 0 or (x - 3)  = 0 or (x + 2) = 0

Remove brackets

x + 3  = 0 or x - 3  = 0 or x + 2 = 0

Solve for x

x = -3, x = 3 and x = -2

Hence, the solutions of the equation x³ + 2x² - 9x = 18 are x = -3, x = 3 and x = -2

The polynomial equation is given as:

0 = x³ + 2x² - 5x - 6

Rewrite as:

x³ + 2x² - 5x - 6 = 0

Factorize the expression on the left-hand side

(x + 3)(x + 1)(x - 2) = 0

Split

x + 3 = 0 or x + 1 = 0 or x - 2 = 0

Solve for x

x = -3 or x = -1 or x = 2

Hence, the other roots are x = -3 and x = 2

The expression is given as:

(x² - 1) - (x³ - 2x + 1)

Expand

x² - 1 - x³ + 2x - 1

Collect like terms

- x³ + x² + 2x - 1 - 1

Evaluate the like terms

- x³ + x² + 2x - 2

Hence, the result of subtracting the expressions is - x³ + x² + 2x - 2

The polynomial is given as:

y = (x² - 1)(x + 2)(x + 4)

Express x² - 1 as a difference of two squares

y = (x - 1)(x + 1)(x + 2)(x + 4)

The power of each factor in the above expression is 1.

This means that the largest multiplicity is 1

Read more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

Answer:

x is the midpoint of a segment in the diahram

Answer:

x is mid point

Step-by-step explanation:

I hope it's helpful for