Mathematics High School

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

Check all fractions equivalent to 2⁄8.
Check all that are true.

1⁄2

1⁄6

4⁄16

1⁄4

4⁄12

Answers

1/4 and 4/16 are equivalent to 2/8

Please help me!!
Geometry

Answers

Answer:

Step-by-step explanation:

M is the midpoint of AB. That means that 2 binomials are equal.

4n - 40 = 7* (-2n + 2) Remove the brackets

4n - 40 = - 14n + 14 Add 14n to both sides

4n+14n - 40 = -14n+14n + 14 Combine

18n - 40 = 14 Add 40 to both sides

18n = 14 + 40 Combine

18n = 54 Divide by 18

18n/18 = 54/18 Combine

n = 3

You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.

Answers

Answer:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Step-by-step explanation:

Given that:

4 papers are delivered by first person in one minute.

Rate of delivering one paper

Time taken to deliver one paper can be calculated by the formula:

[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]

Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]

3 papers are delivered by second person in one minute.

Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]

Total number of papers = 75

Number of papers delivered by first person = [tex]n[/tex]

So, number of papers delivered by second person = ([tex]75-n[/tex])

Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper

Time taken by first person = [tex]n\times \frac{1}{4}[/tex]

Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]

So, Total time taken can be written as:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Leah bought a dress for the school dance that was priced ar $98.25. If the sales tax is 7.25%, how much money is added to the price?

Answers

Answer:

105.37

Step-by-step explanation:

Integers on number lines

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Integers can be represented on the number line. On a number line, the positive numbers are to the right of zero and the negative numbers are to the left of zero. An integer on the horizontal number line is greater than the number on its left and less than the number on its right.

The equation of y-axis is of the form

Answers

Answer:

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression that the airplane must make to land safely.

Answers

Answer:

-8.72811548... i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

Write an algebraic expression for the area of the conference room

Answers

Answer:

I like yo cut gggggggggggg

I need help with this question.
-3(k+5)>-7-3k

Answers

Answer:

no solution

Step-by-step explanation:

-3(k+5)>-7-3k

Distribute

-3k -15 > -7-3k

Add 3k to each side

-3k+3k -15 > -7-3k+3k

-15 > -7

This is not true so there is no solution

Dairy Delight offers a free ice cream every time that the saleperson does not greet the customer with a smile. Last year Dairy Delight gave away free ice cream 3.8% of the time. What is the probability of randomly selecting 3 customers from last year who all received a free ice cream? Round the answer to 6 decimals. Show your work below.

Answers

Answer:

0.000055

Step-by-step explanation:

Given that:

Percentage of free ice cream Given last year = 3.8%

From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038

Hence,

Probability of selecting a customer who received free Ice cream = 0.038

Hence, if 3 people are picked randomly from last year who received free ice cream:

(0.038 * 0.038 * 0.038) = 0.000054872

= 0.000055 ( to 6 decimal places)

C.B. Clothing ordered sweaters at a wholesale cost of $20 each. The store marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the sweater didn't sell, the store reduced the selling price by 20 percent. After how many monthly price reductions did the price dip below the wholesale cost?

Answers

Answer:

2 months

Step-by-step explanation:

The selling price of the sweater = 0.5 x $20 = $30

For every month that the sweater doesn't sell, price is reduced by 20% = 0.2 x $30 = $6

After the first month, price is reduced by $30 - $6 = $24

After the second month, price is reduced by $24 - $6 = $18

Answer: 2 months

Step-by-step explanation: daddy long legs is smart

which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)

Answers

3b+b and 2(2b) would be it

Answer:

3b+b and 2(2b)

Step-by-step explanation:

BRAINLIEST APPRECIATED!

THANKS!

I need help with these I also would like it if you showed your work.

Answers

Answer:

1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27

Step-by-step explanation:

1. Subtract 2 from 13 to get your answer of 11

2. Divide 15 by 3 to get your answer of 5

3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15

4. Add 5 to both sides to cancel out the negative 5 and you'll get 4

5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4

6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27

1. n + 2 = 13
- 2 -2
subtract 2 from both sides in order to isolate the variable (n) , 2 then crosses out and you are left with n= 11

2. 3n = 15
\ 3 \3

divide by three on both sides in order to isolate the variable (n), 3 crosses out and you are left with 15\3 = 5 . therefore n=5 .

3. 2n/3 = 10
2/3 n = 10
you need to reciprocate by doing this you multiply 2/3 by 3/2 , this cross cancels. you then must do the same for the other side (10) , 10/1 * 3/2 . 10x3 = 30 1*2 =2 , 30/2 therefore n=15 .

4. n -5 = -1
+5 +5
add five to both sides:) , 5 cross cancels and you are left with -1 + 5, this equals 4
therefore n=4.

5. 2n + 3 = 11
this is a two step equation so you need to subtract & multiply. first subtract three from both sides leaving you with 2n = 8
then divide by 2, this isolates the variable. 2/2 you’re left with n and 8/2 is 4, therefore n=4 .

6. 1/3n - 2 = 7
two step equation so you need to multiply and add. first add 2 to both sides -2 + 2 crosses out = 0 and 7 + 2 = 9 . the equation should now be 1/3n = 9
you then need to reciprocate and multiply , 1/3 * 3/1 crosses out and you’re left with n , then do the other side 3/1 * 9/1 , 3*9 = 27 and 1*1 = 1 . therefore n = 27/1 or 27 .

i hope this helped a little :) sorry i couldn’t show all work so i did my best to explain, good luckk .

Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)

If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.

Substitute from -3≤x≤1 (We get 5 points)

f(-3) = 4^-3

f(-3) = 1/4^3

f(-3) = 1/64 (First point) (-3,1/64)

f(-2) = 4^-2

f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)

f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)

f(0) = 4^0 = 1 (Fourth point) (0, 1)

f(1) = 4^1 = 4 (Fifth point) (1,4)

Solve the system of equation

Answers

Just click these pictures to give you the answer or idea of what you need.
Fort the first equation just click on the photo and for the second it’s x-y=-1

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

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

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.

Answers

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

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).

Find the x- and y-intercepts of the graph of the linear equation −4x+8y=−16.

The x-intercept is
.

The y-intercept is

Answers

Answer:

x-intercepts is (4,0)

y -intercepts is (0,-2)

Step-by-step explanation:

Using slope intercept form, x- intercept is (4,0) and y - intercept is (0,-2)

What is slope intercept form and how it can be used to find y and x intercept of the line?

The slope intercept of a line is given by the equation y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

y- intercept can also be found if a point on the line is given say (a, b) and slope is given .We put this point in the given slope intercept form and find c.

For finding x - intercept, put y = 0 in the equation and find value of x.

Given line -4x +8y = -16

Then add 4x both sides , we get

⇒4x+4x +8y = -16+4x

⇒ 8 y = 4x -16

Divide both sides by 8

⇒ y = (4/8) x - (16/8)

⇒ y = (1/2)x -2

Comparing this equation with y =mx+c

⇒ c =-2

Put y = 0 in the equation y = (1/2)x -2

⇒ 0 = x/2 -2

⇒2 = x/2

⇒4 =x

Therefore x- intercept is (4,0) and y - intercept is (0,-2)

Also, learn more about the slope intercept form from the link below:

brainly.com/question/9682526

#SPJ2

help I’ll award brainliest

Answers

Answer:

Most likely the answer hope this helps :P

Step-by-step explanation:

1= 10

2= 20

5 = 50

8 = 80

X = 100

1 is 10 2 is 20 and the pattern goes on

this is urgent i’ll get a F.... and my momma is crazy so please help it’s my last question

Answers

Answer:

Step-by-step explanation:

The measure of angle BCD is 22 degrees

The measure of angle DCE is 158 degrees

The measure of angle BCF is 158 degrees

The measure of ECF is 22 degrees

Answer:

BCD = 22

DCE = 158

BCF = 158

ECF = 22

Step-by-step explanation:

first one is alternate interior angles

second one is 180 - 22

third one is congruent to second one

last one is congruent w/ BCD

Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B. 1. 4 inches by 2.5 inches 2. 15 inches by 10 inches 3. 24 inches by 15 inches 4. 9 inches by 6 inches

Answers

Answer:

C. 24 inches by 15 inches

Step-by-step explanation:

Given

[tex]Rectangle: 8\ by\ 5\ inches[/tex]

Required

Determine the scale copies

To do this, we calculate the ratio.

[tex]Ratio = \frac{Actual}{Measured}[/tex]

Analyzing A.

Sides: 1.4 by 2.5 inches

We start by calculating ratio of each sides;

Length:

[tex]Ratio =\frac{8}{1.4}[/tex]

[tex]Ratio = \frac{40}{7}[/tex]

Width:

[tex]Ratio = \frac{5}{2.5}[/tex]

[tex]Ratio = 2[/tex]

Analyzing B.

Sides: 15 inches by 10 inches

Length

[tex]Ratio = \frac{8}{15}[/tex]

Width:

[tex]Ratio = \frac{5}{10}[/tex]

[tex]Ratio = \frac{1}{2}[/tex]

Both ratios are not equal

Analyzing C.

24 inches by 15 inches

Length

[tex]Ratio = \frac{8}{24}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Width:

[tex]Ratio = \frac{5}{15}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Both ratios are equal

Analyzing D.

Sides: 9 inches by 6 inches

Length

[tex]Ratio = \frac{8}{9}[/tex]

Width

[tex]Ratio = \frac{5}{6}[/tex]

Both ratios are not equal

Option C answers the question because both ratio are equal

Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short stories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.

Answers

Answer:

The probability that Ivan will have 3 novels to read during the road trip is 0.0455

Step-by-step explanation:

Given;

number of novels = 5

number of short stories = 7

total number of books = 12

The probability that Ivan's friend pick's a novel = 5 / 12

The probability of Ivan's first pick to be a novel = 4 / 11

The probability of Ivan's second pick to be a novel = 3 /10

The probability that Ivan will have 3 novels to read during the road trip is given by;

= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);

[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]

Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455

There are 2 computers for every 3 iPads in this technology room

Answers

I’m confused on the question, what are u asking

Answer:

The Ans Is 2:3

Step-by-step explanation:

Plz help with this question

Answers

Answer:

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

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help please! absolute value equations! ​

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help please! absolute value equations!