Find the slope of the line.

Answer:

-8

Step-by-step explanation:

Answer:

The average amount of debt John collected per month is $20/ month

Step-by-step explanation:

Given;

total debt collected by John, = $70.00

total number of months, = 3 1/2 months  = 7/2 months

The average amount of debt John collected per month is given by;

[tex]Average \ amount \ per \ month = \frac{Total \ amount \ of \ debt}{total \ number \ of \ months} \\\\Average \ amount \ per \ month =\frac{70}{1} *(\frac{2}{7} )\\\\Average \ amount \ per \ month = \$20 \ / month[/tex]

Therefore, the average amount of debt John collected per month is $20/ month

Answer:

√36, √17, 0.33333...., 1.2874....

Step-by-step explanation:

irrational numbers - a number that cannot be exactly expressed as a ratio of two integers.

To use substitution to identify if two lines intersect,

1. Rearrange one of the two given equations so that only one variable is on one side of the equation with all other values on the other side of the equation. (if needed)

2. Plug this new equation into the other (in place of a variable)

3. Solve the equation to get the answer of one of the variables

4. Plug this variable into one of the two original equations and solve for the second variable (if needed)

5. Plug both variables back into one of the original equations. If both sides of the equation are equal, the two lines do coincide.

Equation 1: 2x+3y=9

Equation 2: x+8=3

1. Rearrange equation 2

x+8=3

x=3-8

x=-5

2. Plug -5 into the first equation as x

2x+3y=9

2(-5)+3y=9

3. Solve this equation

-10+3y=9

3y=9+10

3y=19

y=[tex]\frac{19}{3}[/tex]

4. Plug x and y back into the first equation

2x+3y=9

2(-5)+3([tex]\frac{19}{3}[/tex])=9

-10+19=9

9=9

Therefore, these two lines do coincide. The point of intersection is (-5,[tex]\frac{19}{3}[/tex]).

To use elimination to identify if two lines intersect:

1. Multiply one or both of the equations by a factor so both equations have either an x or y coefficient that are equal or opposite of each other (if needed)

2. Add or subtract the two equations to get rid of one variable

3. Solve this new equation for a variable

4. Substitute this variable into one of the two equations to solve for the other

5. Plug both variables back into one of the equations. If both sides are equal, the two lines do coincide.

Equation 1: 2x+3y=4

Equation 2: 4x+2y=3

1. For this specific system of equations, we would multiply the first equation by 2.

2x+3y=4

4x+6y=8

Notice how now, both equations have 4x in them, so we can subtract them:

2. Subtract the new equation from the second original equation

 4x+6y=8

- 4x+2y=3

       4y=5

3. Solve

4y=5

y=[tex]\frac{5}{4}[/tex]

3. Substitute y back into the first equations (any of the two equations will work) to solve for x

2x+3y=4

2x+3([tex]\frac{5}{4}[/tex])=4

2x+[tex]\frac{15}{4}[/tex]=4

2x=4-[tex]\frac{15}{4}[/tex]

2x=[tex]\frac{16}{4}[/tex]-[tex]\frac{15}{4}[/tex]

2x=[tex]\frac{1}{4}[/tex]

x=[tex]\frac{\frac{1}{4} }{2}[/tex]

x=[tex]\frac{1}{4}*\frac{1}{2}[/tex]

x=[tex]\frac{1}{8}[/tex]

4. Plug both variables back into the first equation (either equation works)

2x+3y=4

2([tex]\frac{1}{8}[/tex])+3([tex]\frac{5}{4}[/tex])=4

[tex]\frac{1}{4}[/tex]+[tex]\frac{15}{4}[/tex]=4

[tex]\frac{16}{4}[/tex]=4

4=4

Since the left side equals the right side, the two lines are coinciding.

To use graphing methods to identify if two lines coincide, we would just have to graph the line and identify if the two lines meet at a point of intersection/overlap each other.

I hope this helps!

Answer:

1

Step-by-step explanation:

The equation would look like this: ¾ ÷ ¾

When dividing fractions, you always flip the second one to receive the reciprocal, so the equation now looks like this: ¾ ÷ 4/3

If you cross simplify, the answer will end up being 1.

Answer:

False

Step-by-step explanation:

Although it is true that y=-2 is a horizontal line, it does not have an undefined slope. Because it is a horizontal line, it has a slope of 0.

Step-by-step explanation:

total value would be 20,000

place value is hundreds of thousands

that's my opinion cuz I didn't fully understand it but I tried thanks

Answer:

44 feet/hour

Step-by-step explanation:

6mi/month(5280ft/1mi)(1month/30days)(1day/24hrs)

Assuming the month has 30 days, object moves at 44 feet/hour. You want all the units to cancel till you get the ones you need, in this case feet/hr.

Answer:

85/50. 35/50

You would times 17/25 by 5 and you would get 85/50 which would simplify to 1 35/50

you would multiply 7/10 by 5 to get 35/50

9514 1404 393

Answer:

  a) GH or HG

  b) KL

  c) YZ or ZY

  d) EF

Step-by-step explanation:

A segment or line can be named by naming two points on it in any order. The points naming a line segment are its end points.

A ray is named by first naming its end point, then any other point on the ray.

a) GH or HG

b) KL

c) YZ or ZY

d) EF

Answer:  The correct answer is:  " 98 " .

______________________________________

Step-by-step explanation:

______________________________________

In this case, "degrees of freedom" , or "df":

  "df" = n - 1 ;  

  in which:  "n = the numeric value of the sample size."

   Given:  "n = 99" ;  we can plug that value into the formula:

         "df" = n - 1 = 99 - 1 = 98 .

______________________________________

Answer:

addition property of equality, subtraction property of equality, simplified, division property of equality and simplified.

Step-by-step explanation:

Answer:

1  given

2  Combining like terms  

3    addition property of equality

4   simplification

5   division property of equality

6   simplification

Step-by-step explanation:

In step 2, the like terms of x and x were combined and simplified to -2x.

In step 3, adding 7 to both sides of the equation to isolate the variable term is justified by the addition property of equality.

In step 4, the constants are combined on each side for simplification.

In step 5, dividing both sides of the equation by -2 to isolate the variable is justified by the division property of equality.

In step 6, simplification results in the solution of x = 4.

Answer:

158.97 litros

Step-by-step explanation:

Multiply 42 by 3.785 to get 158.97.

Answer:

hope that will help you

w = ( p - 2k )/2

Hi there !

p = 2(k + w)

2k + 2w = p

2w = p - 2k

w = ( p - 2k )/2

Good luck !

Answer:

Step-by-step explanation:

B

Answer:

Independent Variable- size of aquariums

Dependent variable - number of surviving fish

Controls: nil

Step-by-step explanation:

In every experiment, the independent variable is manipulated and its effect on the dependent variable is observed as certain factors are kept constant.

In this study, the independent variable is the size of the aquariums. As this factor is manipulated, the number of surviving fish (dependent variable) changed accordingly. There was no mention of a control group in the experiment.

However, temperature, amount of food and type of food were held constant for all the experimental groups.

Answer:

b,c,d

Step-by-step explanation:

cus I said so and it's right

Answer:

D

Step-by-step explanation:

It looks right

sorry if it’s wrong

Answer:

r = -3

Step-by-step explanation:

-3r + 4(-3r +2) = 53

-3r + -12r + 8 = 53

                -8     -8

-3r + -12r = 45

-15r = 45

Divide both sides by -15 to get

r = -3

Answer:

r = -3

Step-by-step explanation:

expand 4(-3r+2)

= -12r+8

add similar variables

= -15r+8=53

subtract 8 from both sides

= -15r+8-8=53-8

simplify

= -15r=45

divide 45 by -15

= -3

Answer:

B. 1,500 millimeters

Answer: Choice A

Explanation:

The sequence converges to a nonzero value, so as n gets very large, the partial sums will grow forever (since we're effectively adding at least 1 to each term regardless how large n gets)

The reason why [tex]s_n[/tex] approaches 1 is because the 1/n term goes to 0 when n gets very large.

Answer:

the paracium never dies because it keeps on reproducing

Step-by-step explanation:

the paracium lets say it starts as 1

and then taht 1 divides inti

1/2 and 1/2 and that 1/2 turns into 1

and it keeps on dividing and multiplying

Answer:

C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right

Step-by-step explanation:

Complete Question

Answer:

a

  [tex]SE  = 0.66}[/tex]

b

[tex] -3.29 <  \mu_1 - \mu_2 <  -0.70[/tex]  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 60

   The first sample mean is  [tex]\= x _1  =  8[/tex]

    The second sample mean is   [tex]\= x _2  =  10[/tex]

    The first variance is  [tex]v_1 =  0.25[/tex]

    The first variance is  [tex]v_2 =  0.55[/tex]

Given that  the confidence level is 95% then the level of significance is 5% =  0.05

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the first standard deviation is  

     [tex]\sigma_1 =  \sqrt{v_1}[/tex]

=>   [tex]\sigma_1 =  \sqrt{0.25}[/tex]

=>   [tex]\sigma_1 =  0.5[/tex]

Generally the second standard deviation is

     [tex]\sigma_2 =  \sqrt{v_2}[/tex]

=>   [tex]\sigma_2 =  \sqrt{0.55}[/tex]

=>   [tex]\sigma_2 =  0.742 [/tex]    

Generally the first standard error is

     [tex]SE_1  =  \frac{\sigma_1}{\sqrt{n} }[/tex]

      [tex]SE_1  =  \frac{0.5}{\sqrt{60} }[/tex]

     [tex]SE_1  =  0.06[/tex]

Generally the second standard error is

     [tex]SE_2  =  \frac{\sigma_2}{\sqrt{n} }[/tex]

      [tex]SE_2  =  \frac{0.742}{\sqrt{60} }[/tex]

     [tex]SE_2  =  0.09[/tex]

Generally the standard error of the difference between their mean scores is mathematically represented as    

      [tex]SE  =  \sqrt{SE_1^2 + SE_2^2 }[/tex]

=>     [tex]SE  =  \sqrt{0.06^2 +0.09^2 }[/tex]

=>     [tex]SE  = 0.66}[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex](\= x_1 -\= x_2) -(Z_{\frac{\alpha }{2} } *  SE) <  \mu_1 - \mu_2 <  (\= x_1 -\= x_2) +(Z_{\frac{\alpha }{2} } *  SE)[/tex]

=> [tex](8 -10) -(1.96 *  0.66) <  \mu_1 - \mu_2 <  (8-10) +(Z_{\frac{\alpha }{2} } *  0.66)[/tex]  

=>  [tex] -3.29 <  \mu_1 - \mu_2 <  -0.70[/tex]  

Find the LCM

3 = 3 times 1

5 = 5 times 1

15 = 5 times 3

25 = 5 times 5

Because they have one 5 and one 3 in common...

5 times 3 times 5 = 75.

She has 75 coins.

Answer:380000

Step-by-step explanation:

Answer:

Hi, I'm the new kid in class and I like cars AND 380000

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x + 10y = 12

-20x - 10y = 30

-14x = 42

x = -3

4(-3) + 2y = -6

-12 + 2y = -6

2y = 6

y = 3

(-3, 3)