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3 years ago

6

eleven times one number is 9 more than 8 times another number. the first number minus four is half the second number. find the n

umbers.

1 answer:

andreev551 [17]3 years ago

6 0

Answer:

haha...the first number is 55 & the second number is 102.

if am right, pls sende more of this question or even more complicated quest of this type.

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In which branch of statistics would a researcher acquire twenty-five 2000 Toyota Celicas, drive them until they had a major mech

AURORKA [14]

Answer:

The answer is "descriptive statistics".

Step-by-step explanation:

Descriptive statistics are short descriptive factors that add up a production set, that can be either a reflection of a whole or a sample population. It is broken down into cumulative frequency measurements and variance measurements. The study uses descriptive statistics to explain the profile of the respondents. People give simple summaries about the sample as well as the actions.

6 0

3 years ago

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :<span><span>
z=-1
</span><span>z=2/3
</span></span><span>Step 1 :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

<span>Step 2 :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

</span>For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

<span>Step 3 :</span>Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

<span>Step 4 :</span>Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step 1 :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

<span>Step 2 :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

</span>For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

<span>Step 3 :</span>Solve the Negative Case

      -(3x-4) < 22

     Multiply
      -3x+4 < 22

     Rearrange and Add up
      -3x < 18

     Divide both sides by 3
      -x < 6

     Multiply both sides by (-1)
     Remember to flip the inequality sign
      x > -6
     Which is the solution for the Negative Case

<span>Step 4 :</span>Solve the Positive Case

      (3x-4) < 22

     Rearrange and Add up
      3x < 26

     Divide both sides by 3
      x < (26/3)

     Which is the solution for the Positive Case

<span>Step 5 :</span>Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

3 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

3 years ago

What does supplementary mean and how do you know if angles are supplementary

IRISSAK [1]

Answer:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.

Step-by-step explanation:

6 0

2 years ago

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to approximate the given integral

malfutka [58]

Answer:

10.294935

Step-by-step explanation:

i typed numbers

7 0

3 years ago