A city council consists of 8 members. Of the 3 men on the committee, 1 has a bachelor's degree and the other 2 have master's degrees. Of the 5 women on the committee, 4 have bachelor's degrees and 1 has a master's degree. A member is chosen at random to take notes at a meeting. What is the probability that the committee member has a bachelor's degree?​

Answer:

h(x)=4x+7

Step-by-step explanation:

4+3 can be added together if they do not have a variable. h(x)=4x+7. Plug in different x coordinates and solve for h(x). Now graph those points.

(-2,1)

(0,7)

(-1.75,0)

Answer:

12x - 5

Step-by-step explanation:

3x + 9x - 5 can be easily simplified by combining like terms.

3x and 9x are like terms because they both contain the same variable and the same exponent (understood to be 1).

Therefore, because an addition sign separates the two terms, it is expected of you to add the two together. To do this, just add the terms together as you would any other terms.

3x + 9x = 12x

Because the 5 is the only constant in the equation, it cannot be combined with anything else.

The simplified expression is 12x - 5.

Answer:

True

Step-by-step explanation:hi

Answer:

2y-4y=2+2.

-2y=4.

y= -2.

Answer:

y=−2

Step-by-step explanation:

Step 1: Subtract 4y from both sides.

−2y−2=2

Step 2: Add 2 to both sides.

−2y=4

Step 3: Divide both sides by -2

y=−2

Answer:

GH=5

HI=5

IJ=5

JK=9

Step-by-step explanation:

GK=24

HJ=10

GH=HI=IJ.

Let GH, HI, IJ be x

therefore,

HI+IJ=10

=>x+x=10

=>2x=10

=>x=10/2

=>x=5

HI=IJ=GH=5

GH+HI+IJ+JK=GK

=>5+5+5+JK=24

=>15+JK=24

=>JK=24-15

JK=9

Answer:

$35

Step-by-step explanation:

To do this you would just add the 2 prices together and you would get $34.53 and you would add 47 cents to that and you would get that Daniel gave $35 to the cashier.

Solution:

Given, x=-3, y=6 and z=-4

Putting the value in the given equation: 2z-3y+4x, we will get,

=2(-4)-3(6)+4(-3)

=-8-18-12

=-38

Answer:

A. $15,625 per game

B. $1,107,142.86 per game

C. he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Step-by-step explanation:

His salary in 2011 = $500,000

His salary in 2019 = $31,000,000

A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?

Kershaw's salary per game = Total salary / Total number of games

= $500,000 / 32 games

= $15,625 per game

B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.

Kershaw's salary per game = Total salary / Total number of games

= $31,000,000 / 28 games

= $1,107,142.8571428

To the nearest cents

= $1,107,142.86 per game

C) Did he earn more per game in 2019 than he did for the entire 2011 season?

$1,107,142.86 per game - $500,000

= $607,142.86

Yes, he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Answer:

A. $15,625 - game

B. $1,107,142.86 - game

C. Kersh earned $607,142.86 more per game in 2019 than he did for the entire 2011 season ($500k)

Answer:

C: Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.

Step-by-step explanation:

Answer:

[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]

Step-by-step explanation:

Step 1: Write out expression

-5x⁻²y + 6x⁷y⁻¹ + 7x⁵

Step 2: Move negative exponents to denominator

*x⁻² and y⁻¹ have to be moved. Everything else stays.*

[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]

Answer:

  57.95

Step-by-step explanation:

The area of the floor is (6.1 ft)(9.5 ft) = 57.95 ft². This will be the minimum that Marcus will want to purchase.

If we assume that tiles come in pieces 1 ft square, then Marcus will need a minimum of 58 square feet.

If Marcus does not want to piece together any tiles at the edges, he will want to purchase 10×7 = 70 square feet of tile.

Answer:

congruent figures

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Annie is located at (6,-20) and Barbara is located at (1, 14) and they meet at a point equidistant to their current locations.

This means that they have to meet at the midpoint between their two locations. Let the coordinate of the midpoint be (x,y) hence:

[tex]x=\frac{x_1+x_2}{2}=\frac{6+1}{2} =\frac{7}{2}[/tex]

[tex]y=\frac{y_1+y_2}{2}=\frac{-20+14}{2} =-3[/tex]

The point at which they met is at (7/2, -3). Charlie location is at (7/2, 2). Hence the distance upward that they have to move = 2 - (-3) = 5 units

They have to move 5 units upwards

Answer:

107.500

Step-by-step explanation:

5.450.000-75.000=5.375.000

5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000

430.000:4=107.500

+ and - ,

*  and :

are inverse  operations

Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.

verifying :

107.500*4*12 1/2+75.000=5.450.000

Answer:

A

Step-by-step explanation:

Since ΔDEF has only been rotated, we know that ΔDEF ≅ ΔJKL. Using CPCTC, we can see that the answer is DF = JL which is A.

Answer:

The total cost is $850

Step-by-step explanation:

From the function

C = 2T + 250

where

T is the number of T-shirts they purchase.

If the the shop purchases 300 T-shirts, then it means

T = 300

substituting into the function, we have

C = 2(300) + 250

C = 600 + 250

c = $850

Answer:

24%

Step-by-step explanation:

To change a decimal to a percent, all you have to do is move the decimal point 2 times to the right.

0.24 = 24%

Answer:

24%

Convert.

.24/0.24 = 24%

24% is your answer. Hope this helps.

Answer:

(5, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

(- 3, 5 ) → (5, 3 )

Answer:

(-5,-3)

Step-by-step explanation:

Answer:

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Step-by-step explanation:

Let be [tex]C = (-1,-5)[/tex], [tex]D = (-7,11)[/tex] and [tex]\frac{CE}{ED} = \frac{5}{3}[/tex]. The given ratio can be translated vectorially into this:

[tex]\overrightarrow {CE} = \frac{5}{3} \cdot \overrightarrow{ED}[/tex]

And let consider that each point is a vector with respect to origin:

[tex]\vec C = (-1, -5)[/tex] and [tex]\vec {D} = (-7,11)[/tex]

Then,

[tex]\vec E -\vec C = \frac{5}{3}\cdot (\vec D -\vec E)[/tex]

[tex]\vec E +\frac{5}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\frac{8}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot \vec D + \frac{3}{8}\cdot \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot (-7,11)+\frac{3}{8}\cdot (-1,-5)[/tex]

[tex]\vec E = \left(-\frac{35}{8},\frac{55}{8} \right)+\left(-\frac{3}{8},-\frac{15}{8} \right)[/tex]

[tex]\vec E = \left(-\frac{35}{8}-\frac{3}{8},\frac{55}{8}-\frac{15}{8} \right)[/tex]

[tex]\vec{E} = \left(-\frac{19}{4}, 5\right)[/tex]

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Answer:

0

Step-by-step explanation:

Given

a + 7(a + b) - 8(a + b) + b ← distribute both parenthesis

= a + 7a + 7b - 8a - 8b + b ← collect like terms

= a + 7a - 8a + 7b - 8b + b

= 0

Answer:

0

Step-by-step explanation:

a+7a+7b-8a-8b+b

combining like terms

a+7a-8a+b+7b-8b

8a-8a+8b-8b

0

Answer:

A B and E

Step-by-step explanation:

The statement that is true about the equation xy = 3 is:

When x = 3, y = 1.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

xy = 3

When x = 3, y = 1

Substitute x = 3.

3 x y = 3

y = 1

This is true.

Now,

x varies directly with y.

This means,

x ∝ y

But xy = 3

x = 3/y

This is not possible.

Now,

The graph of this table would not be linear.

xy = 3

x = 1, y = 3

x = 2, y = 3/2 = 1.5

x = 3. y = 1

x = 4, y = 3/4 = 0.75

The rate of change is not the same.

So,

xy = 3 is not linear.

Thus,

When x = 3, y = 1 statement is true.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Answer:

D.

Step-by-step explanation:

p=3s

p=3(16)

p=48 pencils

Answer:

(2, 3)

Step-by-step explanation:

First of all, let us understand what does a linear system mean.

A linear system means a mathematical model that contains more than one linear equations.

Linear equations mean maximum power of the variable is 1.

Now, how to solve for system of linear equations.

There are two methods to solve the system:

1. From equations: A linear equation is generally written as:

[tex]Ax+By+C=0[/tex]

Two such equations are solved for the values of [tex]x[/tex] and [tex]y[/tex].

2. From Graph:

The intersecting point of the graphs of the equations is the solution of the system of linear equations.

Now, let us consider the given graph of two lines.

The intersecting point is (2, 3)

Where 2 is the value of x coordinate and

3 is the value of y coordinate.

So, solution is (2, 3)

Please refer to the attached image for the answer.

We want to see the solution of a system of equations by looking at its graph, we can see that the solution is the point (2, 3)

A system of equations is a group of equations that must be solved simultaneously. When graphed, these solutions appear as intersections between the curves that represent each equation.

So for the graphed system, the solution is just the intersection between the two lines, we can see that it happens at the point (2, 3).

If you want to learn more, you can read:

https://brainly.com/question/19249122

Answer and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

          2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer

Answer:

If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3. That is where you put your new point.

Step-by-step explanation:

i found this on google

Answer: 2n + 8 = n -3

Step-by-step explanation:

In this scenario we will represent that number by the variable n.

So two times the number will be 2n plus  8  is 2n +8  and it has to equal 3 less that  number so it will be n-3.

Answer:

6:15:11

Step-by-step explanation:

We first start off with 24:60:44. We then know that the greatest common factor is 4, so we divide the ratio by 4 to get 6:15:11.

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Answer:

6:15:11

Step-by-step explanation: