There are 62 people at the commuter area waiting to catch carpool vans. Each van can fit 9 people. How many vanes will be needed to transport everyone so that no one is left behind?

The graph of ordered pairs that shows a proportional relationship is; B: On a coordinate plane, points (negative 2, negative 3) and (2, 3) are plotted.

We are given different ordered pairs as seen in the given options to find the one that represents a proportional relationship.

Now, the option that will have the ratio of its' y-coordinates as (y2/y1) = 1 would be the one that shows a proportional relationship.

Looking at the options, the only option that meets the criteria of (y2/y1) = 1  is option B.

Read more about proportional Relationship at; https://brainly.com/question/12242745

#SPJ1

The number of possible ways to create the flag with 6 colors in total and 3 colors to be used in the flag is 30 ways.

We are given that:

Total colors in a palette = 6 colors.

Colors to be used in making of the flag = 3 colors.

So, by using the permutations, we get that:

Number of possible ways to create the flag = 6 × 5 ways.

Number of possible ways to create the flag = 30 ways.

Therefore, we get that, the number of possible ways to create the flag with 6 colors in total and 3 colors to be used in the flag is 30 ways.

Learn more about permutation here:

https://brainly.com/question/12468032

#SPJ9

The function rule g(x) after the given transformations of the graph of f(x)= 3x is g(x) = 1/9x

Transformation techniques -

The act of shifting an object's location on the xy plane is referred to as transformation.

Given the parent function

f(x) = -3x

If the function is not reflected over x-axis, the resulting function will be f(x) =  3x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/9( 3x)

g(x) = 1/9x

Hence the function rule g(x) after the given transformations of the graph of f(x)=3x is g(x) = 1/9x.

Learn more about Transformation techniques

brainly.com/question/13822019

#SPJ1

Answer:

the ratio of distance descended over time

Step-by-step explanation:

The cost of each bag of gummy bears= $1

Let,s take the cost of a bag of gummy bears to be x and the cost of each chocolate bar to be y.

So from the given question, we get out the first equation as

7 x + 3 y = $22 ------(1)

and the second equation is

3 x + 1 y = $ 8 -------(2)

We have to find the value of x and y by which we will get to know about the cost of each bag of gummy bears and chocolate bar respectively.

Now we have to multiply the second equation with 3

(3 x + 1 y = $8 ) *

we will get :

9 x + 3 y = $ 24 -------( 3)

After equating equations (1 ) and (3)

we get

7 x + 3y = $22-------(1)

9x + 3 y= $24-------(3)

By subtracting of the equation (1) and (3) we get

-2 x = - $2

i.e., x = $1

Now to get the value of y we can put the value of x in any of the above- given equation

Let us put it on equation number (2)

3x + 1 y = $8

= 3 * 1 + y = $ 8

= 3 + y = $ 8

=y = $5

From this, we get the value of x = $1 and y = $ 5 which are the value of gummy bear and chocolate bar

We have to find the value of each gummy bar which is $1

To know more about finding the value through linear equation refer to the link given below:

        https://brainly.com/question/2030026

       #SPJ4

The value for f(g(x))  =[tex](\frac{x^{2} +5}{2} )[/tex]

                       g(f(x))  =[tex](\frac{x+5}{2} )^2[/tex]

Given:

     f(x)=x+5/2  and g(x)=x²

Take,    g(x) = x²

substitute x = f(x)  into the function g(x). Then:

           g(f)x)) =[tex](\frac{x+5}{2} )^2[/tex]

Now, the next step is to substitute  g(x) into the function f(x)

          f(x) = x+5/2

         f(g(x)) =[tex](\frac{x^{2} +5}{2} )[/tex]

To learn more about domain, visit

brainly.com/question/14517703

#SPJ4

Step-by-step explanation:

the area of a rectangle is

length × width

or

base × height

it all depends on how you make the 2 dimensions.

anyway, the area is in our case

2×6 = 12 square units

Answer:

8 would come on the 3rd notch past 5( is behind 10 2 notches.

1 would come one notch after 0.

-3 would come 3 notches befor 0 and 2 notches after -5.

Step-by-step explanation:

Hope it helps! =D

Answer:

whether the transaction

is a purchase or sale. Write a formula for the advisor's

commission. Let D represent the value of one transaction.

Give two examples of how this financial advisor could earn a

commision of $1000

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:Sect A

1)X1=-3,X2=-2

2)X1=-3/4,X2=3

3)X1=-2/3,X2=5/2

4)X1=-2,X2=4

5)X1=1/2,X2=3

6)X1=-4,X2=4/3

Answer: Sect B

1)X1=-5,X2=-3

2)X1=3,X2=4

3)X1=-5,X2=3

4)X1=4,X2=7

5)X1=-5,X2=6

6)X1=-13,X2=2

7)X1=-3,X2=8

8)X1=-7,X2=-2

9)X1=2,X2=16

10)X1=8,X2=9

section a:

1. x = -2, -3

2. x = 3, [tex]-\frac{3}{4}[/tex]

3. x = [tex]\frac{5}{2},-\frac{2}{3}[/tex]

4. x = -2,4

5. x=3, 1/2

6. 4/3, -4

section b

1.x=-3,-5

2. x= 4,3

3. x = 5

4. x =-4,-7

5. x=6,-5

6. x=2,-13

7. x=8,-3

8. x= -2, -7

9. x= 16, 2

10. x= 9,8

section a:

1.

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

x + 2 = 0   x + 3 = 0

x + 2 - 2 = 0 - 2      x + 3 - 3 = 0 - 3

x = -2    x = -3

2.

(4x + 3)(x - 3)=0

4x + 3 = 0     x - 3 = 0

4x + 3 - 3 = 0 - 3          x - 3 + 3 = 0 + 3

4x = -3      x = 3

4x = - 3 / 4

x = [tex]-\frac{3}{4}[/tex]       x = 3

3.

(2x-5)(3x+2)=0

 2x-5=0    3x+2=0

 2x-5+5=0+5    3x+2-2=0-2

 2x= 5       3x=-2

 2x=5/2     3x=-2/3

 x= 5/2        x= [tex]-\frac{2}{3}[/tex]

4.

(4x+8)(2x-8)=0

4x + 8 = 0    2x - 8= 0

4x = -8        2x = 8

4x = -8/ 4       2x=8/2

x=-2              x=4

5.

(5x-15)(4x-2)=0

5x-15=0      4x-2=0

5x = 15        4x=2

5x = 15 /5         4x=2/4

x=3, 1/2

6.

(9x-12)(5x+20)=0

9x -12=0     5x+20=0

9x=12       5x=-20

9x = 12/ 9    5x= -20/5

x= 4/3       x = -4

Answer: 5. 420,  6. 450,  7. 750,  8. 756

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question 1:

0.42 repeating is rational. A rational number is any integer, fraction, terminating decimal, or repeating decimal.

11/3 = rational. A rational number is any integer, fraction, terminating decimal, or repeating decimal.

6.25 is a rational number. A rational number is any integer, fraction, terminating decimal, or repeating decimal.

16[tex]\pi[/tex] = irrational irrational number, any real number that cannot be expressed as the quotient of two integers.

0.01045 is rational. A rational number is any integer, fraction, terminating decimal, or repeating decimal.

[tex]\sqrt{\frac{3}{16} }[/tex] = Irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.

[tex]\sqrt{48}[/tex] = The square root of 48 is not a rational number, as it cannot be expressed in the p/q form.

[tex]\sqrt{\frac{16}{81} }[/tex] = rational. The square root of (16/81) is the same as the square root of 16 divided by the square root of 81. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two:  √16   √81  =    4   9  ≈  0.4444 Alternatively, we first divide 16 by 81 and then do the square root of the quotient:√16/81 ≈ √0.1975 ≈ 0.4444

Question 2:

[tex]\frac{\sqrt{6} }{\sqrt{5} }[/tex] = irrational. Irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.

[tex]\frac{\sqrt{6} }{5}[/tex] = irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.

[tex]\sqrt{30}[/tex] = the square root of 30 is not a rational number. It is an irrational number, as it cannot be expressed in the form of p/q.

[tex]\frac{\sqrt{5} }{6}[/tex] = irrational number, as it cannot be expressed in the form of p/q.

[tex]\frac{\sqrt{30} }{5}[/tex] = irrational since there is no exact square root for 30 and 5.

Question 3:

[tex]\sqrt{68}[/tex] = 68 is not an exact square root so it is about 8.24621125124….. about 8.25 or 8.3 or just 8.

[tex]\sqrt{45}[/tex] x [tex]\sqrt{96}[/tex] = 12[tex]\sqrt{30}[/tex]

The correct option is C. (-2346) is the real number.

A real number is any number which can be discovered in the real world.

For the given options in the question;

Any negative number raised to any root and fractional power given a imaginary number which is a part of complex number.

Thus, only option C which have (-2346) is the real number more specifically negative integer.

To know more about the real numbers, here

https://brainly.com/question/155227

#SPJ9

The correct question is-

Which of the following is equivalent to a real number?

A. (-324)¹/₄

B. (-6745)¹/³

C. (-2346)

D. (-874)¹/₂

The Volume of the cone with base radius 5cm and Total Surface Area 907cm² is   1374.5cm³.

The Volume of the cone is denoted by

V = (1/3)*π*r²*h

where r = base radius

h = height of the cone

In the given question

the base radius r = 5cm

the total surface area of the cone = 907cm²

Total Surface Area of the cone is denoted by = πr(L+r)

where L is the slant height .

Step1: we first calculate Slant height "L"

Substituting the values in Total Surface Area formula we get

907 = π*5(L+5)

Simplifying further we get

L+5 = 907/5π

L = 907/5π - 5

L = 57.77 - 5

L = 52.77

Step2: Use L to find the height of cone

Using Pythagoras Theorem

L²=r²+h²

(52.77)² = (5)² + h²

Simplifying further we get

2784.67 = 25 +  h²

h² = 2759.67

h = √2759.67

h = 52.53

Step 3: use h to find the Volume

Substituting the value of h and r in Volume formula we get  ,

V = (1/3)*π*5²*52.53

= (1/3)*(3.14)*25*52.53

= 4123.605 / 3

= 1374.535

≅1374.5

Therefore , the volume of the cone is 1374.5cm³.

learn more about Volume Of Cone here

https://brainly.com/question/1984638

#SPJ1

Answer:

Step-by-step explanation: 4=3a-14 then you add 14 to both sides and to isolate 3a should it look like this 18=3a then you divide 3 and to isolate "a" and you should 6=a

hope this helped :D

Answer:

a = 6

Step-by-step explanation:

Switch the sides

[tex]4=3a-14\\= 3a-14=4[/tex]

Group(right side)

[tex]3a-14=4\\3a-14+14=4+14[/tex]

Simplify arithmetic

[tex]3a=4+14\\3a=18[/tex]

Isolate "a"

[tex]3a=18\\\frac{3a}{3}=\frac{18}{3}[/tex]

Simplify this improper fraction by splitting it into its least common multiples

[tex]a=\frac{6 \times 3}{1 \times 3}[/tex]

Factor(Cancel GCF)

[tex]a = 6[/tex]

Concerns, let me know, otherwise, have a great day!

Answer:

x = 0.5, −0.5 i think

Step-by-step explanation:

bc 0.5 x 0.5 is 0.25 and in multiplication 2 negs equal a positive

A right angle is an angle of 90 degrees. A right angle is formed when two lines that are perpendicular to each other intersect. A right angle assumes the shape L.

Parallel lines are lines that do not meet or intersect at any point no matter how long they are extended. The sided of most quadrilaterals are parallel to each other and intersect at right angles. For example: squares and rectangles.

In our question, Jacqui will know that each pair of opposite sides are parallel since the corners are right angles, each pair of opposite sides will be perpendicular to the same line. As a result, each pair of opposite sides will be parallel.

Read more: https://brainly.com/question/23545269?referrer=searchResults

#SPJ4

The customer will pay 27% of the original price

The discounts are given as:

70% and 10%

This means that

Selling price = (1 - 0.7) * (1 - 0.1) * original price

Evaluate the differences

Selling price = (0.3) * (0.9) * original price

Evaluate the products

Selling price = 0.27 * original price

Express as percentage

Selling price = 27% * original price

Hence, the customer will pay 27% of the original price

Read more about discounts at

https://brainly.com/question/7459025

#SPJ1

During surgery, the average flow rate of the medications administered to the patient is 23 milliliters per hour.

Flow rate, denoted by Q, is defined as the amount of volume V flowing after time t. The formula for flow rate is given by:

Q = V/t

where V is volume and t is time.

For the two medication administered, given the flow rate and time, solve for the volume of each, and its total volume.

V = Q/t

1 : V1 = Q1t1 = (14ml/h)(150 minutes)(1hour/60 minutes)

V1 = 35 ml

2 : V2 = Q2t2 = (30 ml/h)(4hrs)

V2 = 120 ml

Solving for the average flow rate by dividing the sum of the volume to the sum of the time.

Qave = (V1 + V2)/(t1 + t2)

Qave = (35 + 120)ml/(2.5 + 4)hrs

Qave = 23.84615385 ml/h

Rounding off to the nearest whole number.

Qave = 23 ml/h

Learn more about flow rate here: https://brainly.com/question/21630019

#SPJ4

The perimeter of the shape is => 50cm.

Here, we have,

given that,

from the given diagram, we get,

there are two rectangles.

we get,

perimeter of one rectangle is:

2( 3+ 7) cm

=20 cm

perimeter of the other rectangle is:

2(4+11)

= 30cm

so, total perimeter = (20+30) =50cm

Hence, the perimeter of the shape is => 50cm.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ2

Lifesaver:

∠A = ∠C

⇒ AB = BC (Equal angles have equal sides opposite to them)

⇒ 5x+6 = 3x+14

⇒ 5x-3x = 14-6

⇒ 2x = 8

⇒ x= 4

The point where two lines meet is known as an angle.

What are some applications of two column proofs?

A two-column proof moves a reader from premise to conclusion by using a table to give a logical argument and assigning each column to carry out a specific task.

Given the following angles from the diagram

m < 2 = m < 4

m < 2 = 100°

Prove that m<3 = 70⁰

m<2 = m<4 (vertically opposite angles)

m<3 and m<4 are supplementary, hence

m < 3 + m < 4 = 180°      ( linear pair )

Substitute m<4 = 110⁰ into the expression

m < 3 + 110 = 180

m < 3 = 180 - 110

m < 3 = 70

Learn more about column proof

brainly.com/question/12894994

#SPJ9

The complete question is -

Complete the two column proof. given 2=4 m<2=110 prove m<3=70

3.62 years

Or

3 years

7 Months

12 days

9 hours

18 minutes

40 seconds

The hatched percentage is the 50% of the total area of the rectangle, the correct option is a.

Let's define the height of the rectangle as H and the length as L, then the area of the rectangle is:

L*H

Now we can see that the hatched area is defined by two right triangles, both of height H and of bases b₁ and b₂, such that:

b₁ + b₂ = L

Then the area of these triangles is:

[tex]A = b_1*H/2 + b_2*H/2 = (b_1 + b_2)*H/2 = L*H/2[/tex]

This is half the area of the rectangle, so the hatched percentage is the 50%.

Learn more about area:

https://brainly.com/question/24487155

#SPJ1

The product of 4.5 x 1012  and  5.12 x 109 written in scientific notation is 23.04 x 110308

It is given that,

Two numbers are 4.5 x 1012 and  5.12 x 109

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 X 10^8 in scientific notation.

We need to find the product of both numbers and then find the final answer in scientific notation form

(4.5 x 1012) x ( 5.12 x 109 )

(4.5 x 5.12) x ( 1012 x 109)

23.04 x 110308

Hence, the product of 4.5 x 1012  and  5.12 x 109 written in scientific notation is 23.04 x 110308

To learn more about, scientific notation, here

https://brainly.com/question/18073768

#SPJ1

Answer:

5! = 120

Step-by-step explanation:

using the definition of factorial !

n! = n(n - 1)(n - 2) .... 3 × 2 × 1 , then

5! = 5 × 4 × 3 × 2 × 1 = 20 × 12 × 1 = 120

The complete table of values of the absolute value equation is

x | y

-3 | [5]

-1 | [3]

0 | [2]

1 | [3]

3 | [5]

The absolute value equation of the function is given as

y = |x| + 2

On the incomplete table of values, we have the following x values

x = -3, -1, 0, 1 and 3

Next, we substitute x = -3, -1, 0, 1 and 3 in the equation y = |x| + 2

So, we have:

y = |-3| + 2 = 5

y = |-1| + 2 = 3

y = |0| + 2 = 2

y = |1| + 2 = 3

y = |3| + 2 = 5

So, the complete table of values of the absolute value equation is

x | y

-3 | [5]

-1 | [3]

0 | [2]

1 | [3]

3 | [5]

See attachment for the graph of the absolute value equation

Read more about absolute value equation at

https://brainly.com/question/17795998

#SPJ1

Answer:

x = 6

Step-by-step explanation:

Subtract, simplify, subtract

[tex]2x+36-36=8x-36\\2x=8x-36\\2x-8x=8x-36-8x\\[/tex]

Simplify

[tex]-6x=-36[/tex]

Divide

[tex]\frac{-6x}{-6}=\frac{-36}{-6}[/tex]

Reverse the equation by the fraction rule

[tex]\rightarrow \frac{6x}{6}\\= x\\\rightarrow \frac{36}{6}\\= 6\\6 = x\\\uparrow\downarrow\\x = 6[/tex]