Solve the absolute value equation :| 10n - 8| + 16 = 4

Answers

Answer 1
(10n -8)+16=4 the absolute value equation is 8(-10n-2)+5=101
Answer 2
Answer:

 [tex]\boxed{n=-2}[/tex]

Solution Steps: - Steps for solving an absolute value equation-

______________________________

1.) Find the absolute value:[tex]|10n-8|=10n+8[/tex]

- Absolute value just means if there is any negatives then make them positive.

Equation at the end of this step:

[tex]10n+8+16=4[/tex]

2.) Add 8 and 16:[tex]8+16=24[/tex]

Equation at the end of this step:

[tex]10n+24=4[/tex]

3.) Subtract 24 from both sides:[tex]24-24=[/tex] Cancels out[tex]4-24=-20[/tex]

- Since it was adding, you do the opposite, which is why we subtracted.

Equation at the end of this step:

[tex]10n=-20[/tex]

4.) Divide both sides by 10:[tex]10n[/tex] ÷ [tex]10=n[/tex][tex]-20[/tex] ÷ [tex]10=-2[/tex]

- Since it was multiplying, you do the opposite, which is why we divided.

______________________________


Related Questions

A skydiver jumped from a plane at 1000 ft. Ten seconds into the jump she looked at her altimeter and read 800 ft. How far did she fall in one second?

Answers

20ft because in ten seconds it was 200ft difference the divide by 20 which is 20ft

Answer:

she drops at 20 ft per second

Step-by-step explanation:

if she drops 200 ft per 10 seconds, then you would divide 200 by 10 to get 20 ft per second

Which of the statements is TRUE?
a. √7 is an integer
b. √16 is an irrational number
c. √25 is a rational number
d. √90 is neither rational nor irrational number

Find the number whose square root lies between 8 and 9? a. 8 b. 9 c. 75 d. 85

Between what two consecutive integers does the square root of 118 lie?
a. 8 & 9 c. 10 & 11

b. 9 & 10 d. 11 & 12

Which of the numbers is classified as perfect square integer?
a. 49 b. 50 c. 63 d. 200

Between what two consecutive integers does the square root of 190 lie?
a. 11 & 12 c. 14 & 15

b. 13 & 14 d. 19 & 20

Which of the following numbers has an irrational square root?
a. 1 b. 81 c. 100 d. 300

Which of the following is NOT a perfect square integer?
a. 121 b. 144 c. 149 d. 169

15. Where does the square root of 30 lie?
a. between 5 & 6 c. before 5
b. beyond 6 d. at 6

Answers

Answer: for question one its a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Fgfhhnjbccvjkk

Interpreting Function Graphs Digital Matching Activity

Answers

Answer:

whats the question

Step-by-step explanation:

Henry earned $596.45 for working 32 hours. What is Henry's hourly wage? Round to the nearest cent.

Answers

Answer:

18.6390625

Step-by-step explanation:

Answer: $18.64

bcuz yes

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 46 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean?

Answers

Answer:

0.4246

Step-by-step explanation:

Given data:

mean ( u ) = 15 inches

std ( б )= 6 inches

sample size( n ) = 46

ux = mean sample length

Determine the probability that x within 0.5 inch of the claimed population mean

ux = u = 15

бx = б/ √ 46 =  6 /√ 46 = 6 / 6.78 = 0.88

Hence the   P( 14.5 < x < 15.5 )

= P ( [14.5 - 15 / 0.88 ] < z < (15.5 - 15) / 0.88) )

= P ( -0.5682 < z <  0.5682 )

= P ( z < 0.5682 ) - P ( z < -0.5682 )

= 0.7123 - 0.2877  ( from Z table )

= 0.4246

Which number makes the comparison true?
3.706 < ?
A. 3.704
B. 3.710
C. 3.688
D. 3.009

Answers

Answer:

B. 3.710

Step-by-step explanation:

This number makes 7.706 smaller

which multiplication equation is false

Answers

Question:

Where are the equations?

If there was a multiplication problem then maybe I could help

Look at the figure below:

Triangles ABC and ACD have a common side AC. E is the point of intersection of AD and BC. AE equals ED and CE equals BE.

Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate?


Triangle ACD and triangle ACE

Triangle AEC and triangle DEC

Triangle ABE and triangle ACE

Triangle AEB and triangle DEC

Answers

Answer:

D) Triangle AEB and triangle DEC

Step-by-step explanation:

This was the correct answer shown one the test took and i can say i know for sure it wasnt A, B, or C.

Answer:

D) Triangle AEB and triangle DEC

Step-by-step explanation:

25-b2=4b it is quadratic?​

Answers

No cause you got three terms

We are given the equation:

25 - b² = 4b

it can be simplified into the following:

b² + 4b - 25 = 0

In this simplified equation, we can see that it is very similar to the general form of a quadratic equation [ax² + bx + c = 0]

Therefore, we can say that the given equation is Quadratic

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

25%

Step-by-step explanation:

Each quartile is 25% of a the whole box plot so it would have to be 25%

How do you use a protractor

Answers

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

hoped it helped :)

Chris and Mary are selling tickets at their class play. Chris is selling student tickets for $4.00 each, and Mary selling adult tickets for $6.50 each. If their total income for 21 tickets was $124.00, how many tickets did Chris and Mary sell individually?

Answers

Answer:

Chris sells 5 tickets and Mary sells 16 tickets

Step-by-step explanation:

System of Equations

To solve the problem we call:

x = number of tickets sold by Chris

y = number of tickets sold by Mary

They sold a total of 21 tickets, thus:

x + y = 21            [1]

Mary sold adult tickets for $6.50 each and Chris sold student tickets for $4.00 each. The total income was:

4x + 6.5y = 124       [2]

Multiplying [1] by -4:

-4x - 4y = -84            [3]

Adding [2] and [3]:

2.5y = 40

Dividing by 2.5:

y = 40/2.5

y = 16

From [1]

x = 21 - 16 = 5

x = 5

Chris sells 5 tickets and Mary sells 16 tickets

The ratio of boys to girls in band class was 3 to 5. If there were 24 boys. How many girls were in band class?

Answers

Answer:

40 girls

Step-by-step explanation:

Set up a proportion where x is the number of girls in band class:

[tex]\frac{3}{5}[/tex] = [tex]\frac{24}{x}[/tex]

Cross multiply and solve for x:

3x = 120

x = 40

So, there were 40 girls in band class.

Answer: There are 40 girls in band class.

____________________________________________________________

The ratio for this problem is:

[tex]\frac{3}{5} = \frac{24}{x}[/tex]

To get from 3 to 24, you would multiply by 8. You need to do the same thing to 5 to get x.

5 times 8 equals 40.

There are 40 girls in band class.

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. A. The professor has informed us that 7.93 percent ofher students received grades of A. What is the minimum scoreneeded to receive a grade of A?B. Students who made 57.93 or lower on the exam failedthe course. What percent of students failed the course?C. If 69.5% of the students received grades of C or better, what is the minimum score of those who received C's?

Answers

Answer:

88.51

0.085343

67.39

Step-by-step explanation:

Given a normal distribution :

Mean (m) = 73

Standard deviation (s) = 11

Percentage A's = 7.93% = 0.0793

Minimum score needed to receive A :

Using the Z formula

Zscore corresponding to 0.0793 = 1.41

P(x ≥ x) :

Z = (x - m) / s

1.41 = (x - 73) / 11

11* 1.41 = x - 73

15.51 = x - 73

x = 15. 51 + 73

x = 88.51

B. Students who made 57.93 or lower on the exam failedthe course. What percent of students failed the course?

P(x ≤ 57.93)

Z = (x - m) / s

Z = (57.93 - 73) / 11

Z = - 15.07 / 11

Z = - 1.37

P( Z ≤ - 1.37) = 0.085343 ( Z probability calculator)

C.) If 69.5% of the students received grades of C or better, what is the minimum score of those who received C's?

Minimum score of those who received C

Zscore corresponding to 0.695 = -0.51 (Z probability calculator)

Z = (x - m) / s

-0.51 = (x - 73) / 11

11* - 0.51= x - 73

-5.61 = x - 73

x = - 5.61 + 73

x = 67.39


The Sweater Shop has a sweater that was original $55. It is now on sale for $32. What is the
decrease percent?

Answers

Answer:

52-32

Step-by-step explanation:

Write two mixed numbers that have a sum of 3 4/5.

Answers

Answer:

Step-by-step explanation:

1 and 2/5 and 2 and 2/5

A fraction represented with its quotient and remainder is a mixed fraction. 1 2/5 and 2 2/5 are two mixed numbers that have a sum of 3 4/5.

What is Mixed Fraction?

A fraction represented with its quotient and remainder is a mixed fraction.

We need to find the two mixed numbers whose sum is 3 4/5.

The sum of two mixed numbers is 3 4/5 which is also equal to 19/5.

1 2/5+2 2/5

=7/5+12/5

=19/5

Now 3 4/5=19/5

Therefore 1 2/5 and 2 2/5 are two mixed numbers whose sum is 3 4/5

To learn more on mixed fractions click:https://brainly.com/question/14212041

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Willie rented a bike from bikes-R-Us. It cost $18 plus 5 per hour willie paid a total of $48

Answers

Answer:

He rented the bike for 6 hours.

Step-by-step explanation:

To solve this you would first subtract the initial amount which is $18 to $48. You would then divide 5 by $30 Since you have to pay $5 per hour, and you would end up with 6 which is the number of hours that willie rented the bike for.

Answer:

ok

Step-by-step explanation:

What is the value of t?
3.5 (t + 6) = 7
o t= -4
Ot= -0.25
O t = 0.25
O t = 4

Answers

Answer:

t=-4

Step-by-step explanation:

t+6=7/3.5

t+6=70/35 (I expanded 7/3.5 by multiplying both numerator and the denominator by 10)

t+6=2 (I divided 70 by 35 to get 2)

t=2-6

t=-4

Answer:

t=-4

Step-by-step explanation:

i took the test on k12

I don’t understand this it’s a flocabulary called subtracting inteegrrd

Answers

Answer:

- 8 + (- 10)

Step-by-step explanation:

- 8 + (- 10) [.°. (-) × (+) = (-)]

- 8 - 10

if the question ask you for ever 6 up of raisins, there are ________ cups of pretzels.
and your answers are

9
3
12
6 what would your answer be

Answers

Answer:

I think it is 12 but still not sure

Plz help need asap very important test if you dont know then dont answer and brainliest

Answers

Answer:

2622 cubic answers

Step-by-step explanation:

Triangle volume=1026 in

9*12=108

108/2=54

54*19=1026

Volume of Rectangle part

7*12=84

84*19=1596

1026+1596=2622

4) Which graph represents a function?​

Answers

Answer:

C

Step-by-step explanation:

The other graphs do not pass the vertical line test (if you draw a vertical line through the line graphed, it should pass through once), but graph c does pass the test.

Find the value of x that makes m|n.
m
(6x + 10)
(2x + 26)
The value of x is ?

Answers

Answer:

x is 9

Step-by-step explanation:

6x+10=2x+26

-2x          -2x

4x+10=26

   +10  +10

4x=36

---   ---

4    4

x=9

Write A Hypothesis
Problem: In a recent poll, the CW estimated that about 25% of viewers watch Legends of Tomorrow weekly. February 25, 2016 is the crossover with the 2046 version of Arrow. The CW conducts a new random survey of 350 viewers and finds that 102 now plan to watch that episode. Does this provide strong evidence that having Arrow on Legends of Tomorrow increased viewership?

Answers

Answer: H0:p= 0.25, the proportion of viewers that watch Legends of Tomorrow weekly.Alternative Hypothesis:Ha:p > 0.25, the proportion of viewers that watch Legends of Tomorrow is greater than 25%.

Answer:

probably arrow is the best show on the cw leaving the legends tomorrow as the worst in the arrowverse

Step-by-step explanation:

the figure below is not drawn to scale. ABCD is a square. ACF and DCE are straight lines. Find ECF​

Answers

Answer:

<ECF = 45 degrees

Step-by-step explanation:

If ABCD is a square, then the diagonal AC divides angle <C and angle <A  in two equal parts. Angles A and C are also 90 degrees each due to the act that the figure is a square. Therefore their bisection would render 90/2 = 45 degrees.

Notice as well that angle <ECF is opposite by the vertex to one of these 45 degree angles, and then it must measure the same amount (45 degrees).

So, <ECF = 45 degrees

solve for x, if m<2 = 2+6x

Answers

71+71=142
180-142=38
2+6x=38
6x=36
x=6

Answer:

x = 6

Step-by-step explanation:

Since the triangles are isosceles the two bottom angles are equal. So, 71 + 71 + 2 + 6x would help us find x. Now to solve it.

71 + 71 + 2 + 6x = 180

142 + 2 + 6x = 180

144 + 6x = 180

6x = 180 -144

6x/6 = 36/6

x = 6

Cory is a bird watch he estimated that 30% of the birds American , 20 % ne eyed , and 20 designs n simulation Let , 1 and 2 represent American robins Let and 4 represent -eyed Let and 6 represent song sparrows Let 78and 9 represent other birds The table shows the simulation results. 05716 16803 965683217733855 76635 922908886472794 14333 0594377510 7405187238 79019 97895 8648794036 1274924005 According to this simulation, what is the probability that at least one of the next five birds he sees is a robin? O A. 0.45 B. 0.6 C. 0.75 D. 0.3

Answers

Answer:

I believe the answer is C. 0.75

Step-by-step explanation:

The  probability that at least one of the next five birds he sees is a robin is 0.75.

Probability

Based on the stimulation result shown on the table we can seen that other birds appeared at least 15 times.

Hence:

P(A)=15/20

P(A)=0.75

Therefore the  probability that at least one of the next five birds he sees is a robin is 0.75.

Learn more about probability here: https://brainly.com/question/24756209

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What is the area of a circumference of 22pi

Answers

Answer:

A = 121π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

Circumference: C = 2πrArea of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

C = 22π

Step 2: Find radius r

Substitute:                    22π = 2πrIsolate r:                        11 = rRewrite:                         r = 11

Step 3: Find Area

Substitute:                    A = π(11)²Evaluate:                       A = 121π

And we have our final answer!

A local grocery store received a new shipment of apples. The apples arrived in 8 crates with 20 apples in each crate. If the store pays $0.21 per apple and sells each apple for $0.79, what would the profit be after selling all of the apples?
A.
$16.24
B.
$22.12
C.
$92.80
D.
$126.40

Answers

The Answer

Is C

92.80

10, 10, 10, 12, 14, 16, 16, 18, 18, 18, at what percentile is 14?

Answers

Answer:

tijjiiowoowowowooq2o222222

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