help please! absolute value equations! ​

Help Please! Absolute Value Equations!

Answers

Answer 1

Answer:

n = -1                       n = -7

Step-by-step explanation:

5| 2n+8| +3 = 33

Subtract 3 from each side

5| 2n+8| +3-3 = 33-3

5| 2n+8| = 30

Divide by 5

5/5| 2n+8| = 30/5

| 2n+8| = 6

An absolute value equation has two solutions, one positive and one negative

2n+8 = 6              2n+8 = -6

Subtract 8 from each side

2n+8-8=6-8          2n+8-8 = -6-8

2n = -2                    2n = -14

Divide by 2

2n/2 = -2/2            2n/2 = -14/2

n = -1                       n = -7


Related Questions

Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Total principal invested = $15000

Investment x at 4% (0.04)

Investment y at 3.5% = 0.035

Investment z at 8% = 0.08

z investment = 2x

Total interest earned = $845

Simple interest = principal * rate * time

y * 0.035 + x * 0.04 + 2x * 0.08 = 845

0.035y + 0.2x = 845 - - - (1)

y + x + 2x = 15000

3x + y = 15000 - - - - (2)

y = 15000 - 3x

0.035(15000 - 3x) + 0.2x = 845

525 - 0.105x + 0.2x = 845

525 + 0.095x = 845

0.095x = 845 - 525

0.095x = 320

x = 320/0.095

x = 3368.42

Z = 2x

Z = 2 * 3368.42 = $6736.84

y = 15000 - 3(3368.42)

y = $4894.74

what other properties do we use to rewrite expressions and equations​

Answers

Answer:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Step-by-step explanation:

Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

What is Expression?

An expression is combination of variables, numbers and operators.

The properties we use to rewrite expressions and equations​ are

The commutative

Associative, and

distributive properties

These properties help to rewrite a complicated algebraic expression into simpler form.

When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hence, Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

To learn more on Expressions click:

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help graphs are not my favorite​

Answers

Answer:

d

Step-by-step explanation:

What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answers

Answer:

0

Step-by-step explanation:

it has a zero slope

0,0

6,0

0-0=0

6-0=6

0/6 is 0

The wood framing cost $4.82 per foot. How much the framing cost for a rectangular picture that measures 3 f t by 5 f t?​

Answers

I think the answer is 77.12

help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

neither

Step-by-step explanation:

Answer:

(c)

Step-by-step explanation:

If these are

Parallel, slope of both the lines is same.

Perpendicular, if they are -ve reciprocal of each other.

In y = mx + c, slope is m.

Compare,

Slope of y=4x+1, is 4.

of 8y-16=2x is 2/8 = 1/4, which is reciprocal of 4,but not -ve.

So it is neither ll nor perpendicular.

In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3of the price in 2011.• Write an expression for the price of gold per ounce in 2016.• Explain how you found the expression. Write your expression and explanation in the space below

Answers

Given:

Price of  gold in 2001 = (0.5x+300)

Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.

To find:

An expression for the price of gold per ounce in 2016.

Solution:

We have,

Price of  gold in 2001 [tex]= (0.5x+300)[/tex]

Its price tripled in 2008.

Price of  gold in 2008 [tex]= 3(0.5x+300)[/tex]

Then doubled in 2011.

Price of  gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]

In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.

Price of  gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]

                                    [tex]=2\times 2(0.5x+300)[/tex]

                                    [tex]=4(0.5x+300)[/tex]

                                    [tex]=4(0.5x)+4(300)[/tex]

                                    [tex]=2x+1200[/tex]

Therefore, the required expression for the price of gold per ounce is (2x+1200).

How many real solutions are in the equation 8-4x=0

Answers

Answer:
one real solution
Step-by-step explanation:
8-4x=0
Add 4x to each side
8 = 4x
Divide by 4
8/4 = 4x/4
2 =x
There is one real solution
One real solution as they said ^

Examples:
2=2 - infinite solutions
X=2 - one solution ( variable=number)
0=2 - no solutions

please help!! It’s for geometry!!

Answers

Answer:

1.  SAS

2. SSS

3. SAS

4. SAS

5. SSS

6. SSS

7. SAS

8. SSS

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)

Answers

Answer:

23

Step-by-step explanation:

7 - 5p + 3a

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

23

the answer would be 23

7-5p+3a
7-5(1)+3(7)
7-5+21
2+21
23

Plug in your numbers !!

Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?

Answers

Let x and x+1 be the consecutive integers.

The sum of squares is:
(x)² + (x+1)² = 221
Expand second term:
x² + x² + 2x + 1 = 221
Combine like terms:
2x² + 2x + 1 = 221
Subtract 221 from both sides to make quadratic form:
2x² + 2x - 220 = 0
Divide both sides by 2:
x² + x - 110 = 0
Factor:
(x + 11)(x - 10) = 0
x = -11 or x = 10

Answers: 10 and 11 or -10 and -11

A 42​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.

Answers

Answer:

4, 8, 30

Step-by-step explanation:

Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.

Equation:

x + 2x + 7x + 2 = 42

10x + 2 = 42

10x = 40

x = 4

The First piece is 4 inches

Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.

Hope this helps!!!

PLEASE HELP AND QUICK!!!

Answers

Answer:

A

Step-by-step explanation:

dude trust me

Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.

Answers

to find the cost of a small drink, you might want to:

subtract the decimals

total cost : $20.50

cost of pizza :$13.00.

cost of one small drink : total cost - cost of pizza

                                      :  $20.50 - $13.00.

                                      : 20.50

                                    -   13.00

                                      :    07. 50

                                     :   $ 7.50

                                 


(3 + zi) (3 + 4i) - (3 + zi) (3 - 2i)
Express in simplest a+bi form

Answers

Answer:

Step-by-step explanation:

9+12i+3zi+4zi²-(9-6i+3zi-2zi²)

= 9+12i+3zi+4zi²-9+6i-3zi+2zi²

= 18i+6zi²

= i(18+6zi) or 6i(3+zi)

i hope this is the anwer you're looking for

Use the distributive property to rewrite the following expression.
2(n - 6) + 4
Pls I need this in 5 min!!

Answers

Answer: 2n-8

Explanation: 2(n-6)+4 you bring 2 into the parentheses so 2 x n is just 2n
then 2 x -6 = -12
New equation 2n-12 +4
Now you combine-12 and 4 which is -8
Finale equation: 2n-8

Answer:

2n - 12 + 4

Step-by-step explanation:

Distribute 2 across the n+6, get 2 x n and get 2n, and 2 x -6 = -12

u need this m8, good day

Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.

Answers

Answer:

$5

Step-by-step explanation:

1=$5 so 2 hours = 10 SO 4hours ×$5= $20

Answer:

$5 per hour

Step-by-step explanation:

hope this helps :D

cheers man

Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).

Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.

Answers

Answer:

hmmm...i wanna go with B

Step-by-step explanation:

because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on

at least i believe im right haha hope this helped if its not to  late

Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.

Step-by-step explanation: I got the answer correct hope this helps!

20 POINTS AND BRAINLIEST
The height (in inches) of a candle, h(t), is modeled by the function h(t) = 8 - t, where t is the amount of time the candle has been burning. What is the meaning of the y-
intercept of the graph of the function?
A. The amount of time the candle has been burning
B. The height of the candle when it starts to burn
C. The maximum amount of time the candle can burn
D. The height of the candle after it is finished

Answers

Answer:B.the height of the candle when it starts to burn

Step-by-step explanation:

The y - intercept is 8. It represents the height of the candle when it starts to burn.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the height (in inches) of a candle, h(t), is modeled by the function h(t) = 8 - t, where t is the amount of time the candle has been burning.

We have -

h(t) = - t + 8

h(t) = - t + 8

Here, the y - intercept is 8. It represents the height of the candle when it starts to burn.

Therefore, the y - intercept is 8. It represents the height of the candle when it starts to burn.

To solve more questions on straight lines, visit the link below-

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A certain star is 5.2 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How
far from the earth (in miles) is the star?

Answers

the correct answer is 5.89999999948*10^12

I really need help hurry

Answers

I can’t see the whole problem

Answer:

the answer is A. {-1, 1, 3}

Step-by-step explanation:

pls help answer question in picture

Answers

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

1. If 18 zombies eat 45 brains, then how many brains will 4 zombies eat?
brains
0
2. A machine can make 246 bolts in 6 minutes. If you run the machine for 33
minutes, how many bolts can it make?
T
14-
ol
C
3. You can buy 78 paper clips for a dollar. How much would it cost to buy 351
paper clips
9
8
4. A math teacher can make 45 students cry in 180 days. At this rate, how days
would it take to make 50 students cry?

Answers

What??? what is this?

Answer:

1. 180 brains

Step-by-step explanation:

A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?

Answers

Answer:

3.33 m/s

Step-by-step explanation:

speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]

7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2

Answers

Answer:

y=-2x+6

Step-by-step explanation:

y=mx+b

10=(-2)(-2)+b

10=4+b

10-4=b

6=b

The diameter of a circle is 9 ft. Find its area to the nearest tenth.

Answers

Step-by-step explanation:

D=9

A=pie*radius^2

=3.14*9/2*9/2

=63.58

=64

Ok so The answer is 14

4x - 3 = 6x + 9 looking for variable

Answers

Answer:

x=-6

Step-by-step explanation:

Add 3 on both sides and subtract 6 on both sides.

This gives you -2x=12

Divide -2 on both sides

this gives you -6.

x=-6

[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]

Step By Step Explanation:

Step 1:

→[tex]4x - 3 = 6x + 9[/tex]

Step 2:

→[tex]4x - 6x = 9 + 3[/tex]

Step 3:

→[tex] - 2x = 12[/tex]

Step 4:

→[tex]x = \frac{12}{ - 2} [/tex]

Step 5:

→[tex]\green{x = - 6}[/tex]

verification:

Step 1:

⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]

Step 2:

⇝[tex] - 24 - 3 = - 36 + 9[/tex]

Step 3:

⇝[tex] - 27 = −27[/tex]

[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]

(5b+6)°
(4b-6)°

answer B=

Answers

Answer:

B = 10

Step-by-step explanation:

5B + 6 + 4B - 6 = 90

9B + 0               = 90

Therefore,      B = 10

PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Answers

Answer:y=9

Step-by-step explanation:

15 points!!!
4x^2 -20x +25≥0​

Answers

Answer:

x ≥ [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

To solve for x, we simply factorize the equation;

We should find two numbers whose sum = -20 and product is 100

  These two numbers are -10 and -10

So;

    4x² - 10x - 10x + 25 ≥ 0​

   factorize;

    2x(2x - 5) - 5(2x - 5) ≥ 0​

   (2x - 5) (2x - 5) ≥ 0​

    So;

        2x - 5 ≥ 0​

         2x ≥ 5

            x ≥ [tex]\frac{5}{2}[/tex]

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