21k – 3n + 9p > 3p + 12

Answers

Answer 1
solve for n.

21k−3n+9p>3p+12

Add -21k to both sides.

21k−3n+9p+−21k>3p+12+−21k

−3n+9p>−21k+3p+12

Add -9p to both sides.

−3n+9p+−9p>−21k+3p+12+−9p

−3n>−21k−6p+12

Divide both sides by -3.

−3n/−3    >  −21k−6p+12/−3

n < 7k+2p−4


Related Questions

Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?



g(x)=|2(x−5)|

g(x)=|2x+5|

g(x)=|2x−5|

g(x)=|2(x+5)|

Answers

Answer:

g(x) = |2(x+5)|

Step-by-step explanation:

To translate a function left 5 units, replace x with (x+5). In this function, that means

  2x ⇒ 2(x+5) . . . . . matches the last choice

Which is the most accurate way to estimate 23% of 70?

Answers

It would be what is 20% of 70. x = 20/100 x 70 = 14
20% of 70 is 14
Hi there! The most accurate way to estimate 23% of 70 is to write and solve a proportion. You would write it out as x/70 = 23/100, because we’re looking for the number that is 23% of 70. Cross multiply the values to get 1,610 = 100x. Divide each side by 100 to isolate the “x”. When you do, you get x = 16.1. There. 23% of 70 is 16.1.

Which of these story problem describes the sum 19 + (-12)? Check all that apply. Show your work to justify your answer.

Answers

-19 + (-12) = 7

Remove Parentheses  
( -a ) = -a 

= 19 - 12
Subtract The Numbers 
19-12 = 7

Mr. and mrs. harris have six kids aged 5, 6, 8, 10, 16, and 19. the median age of the harris children is _____.

Answers

I think the median age is 9

Answer:

The median age is 9 years old

Step-by-step explanation:

We can find the median by getting the average of the center number of the middle two numbers

8 and 10 are the two middle numbers in this scenario.  8 + 10 = 18

18/2 = 9

It takes a boat 2 hours to travel 22 miles downstream and 4 hours to travel 20 miles upstream. What is the speed of the boat in still water?

Answers

Let  b= speed of boat in still water
Let  c= speed of current
Upstream
Speed is ; b-c
d u=(b-c)* t u

Downstream
speed is ; b+c
d d=(b+c)*t d

given:
d u=18
t u=3
d d=24
t d=2


------------------
(1) 18=(b-c)*3
(2) 24=(b+c)*2
and
(1) 18=3b-3c
(2) 24=2b+c
Multiply both sides of (1) by 2
Multiply both sides of (2) by 3

(1) 
(2) 
Add (1) and (2)


And, from (1),
18=3*9-3c
3c=27-18
3c=9
c=3
The speed of the boat in still water is 9 mi/hr
The speed of the current is 3 mi/hr
check:
(1) 18=(9-3)*3
(2) 24=(9+3)*2
and
(1) 18=16*3
18=18
(2) 24=24

Please answer ASAP: Determine which of the following situations can be modeled by the ratio 7/2. Select all situations that apply
For every twenty-eight cats, there are 4 dogs
Sara runs an average of fourteen miles every four days.
An online clothing store charges $7.50 to ship ten clothing items
A recipe calls for 3 cups of flour for every 1 cup of sugar.
Bottled water is on sale this week for a rate of $1.50 for two bottles

Answers

the only one that applies is:

Sara runs 14 miles every 4 days = 7 miles every 2 days = 7/2


Line s is the perpendicular bisector of JK. If line s intersects JK at point L, which of the following statements must be true? Check all that apply. A. Line s is perpendicular to JK B. JL = KL C. Line s is parallel to JK D. Point L is the midpoint of JK E. Line s intersects JK at a 180 angle

Answers

Sent a picture of the solution to the problem (s).
Final answer:

Line s, being the perpendicular bisector of JK, must be perpendicular to JK at point L, making JL equal to KL and meaning that point L is the midpoint of JK.

Explanation:

If line s is the perpendicular bisector of segment JK and intersects it at point L, we can determine several truths about the geometric relationship between these elements:

A. Line s is perpendicular to JK: Yes, this is true because by definition, a perpendicular bisector not only cuts a line segment into two equal parts but also does so at a 90° angle.B. JL = KL: This statement must also be true. Since line s is a bisector, it divides JK into two equal parts, hence JL (the length from J to L) is equal to KL (the length from K to L).D. Point L is the midpoint of JK: True again, as the point where the perpendicular bisector intersects the line segment is known as the midpoint, implying that point L is equidistant from both J and K.

Statements C and E are incorrect. Line s cannot be parallel to JK as it intersects it, and a 180° angle refers to a straight line, not the angle formed by a perpendicular intersection.

Anyone knows??? And like to help

Answers

6a.
Let the price of a ticket be t.
t - 2 = 7

6b.
The number of gallons is g.
7 = 2g

6c.
Sorry, but I don't know what problem 5 was, so I can't answer.

A pinewood derby car can be at most 2 3/4 inches wide. About how many pinwood derby cars can be displayed side-by-side on a shelf that is 31 1/2 inches long?

Answers

11 is the answer. To get the answer you have to divide 31 1/2 by 2 3/4.
Final answer:

About 5 11/22 pinewood derby cars can be displayed side-by-side on a shelf that is 31 1/2 inches long.

Explanation:

To find out how many pinewood derby cars can be displayed side-by-side on a shelf, we need to divide the length of the shelf by the width of each car. The shelf is 31 1/2 inches long, and each car can be at most 2 3/4 inches wide. So we divide 31 1/2 by 2 3/4:




Convert the mixed number 2 3/4 to an improper fraction: 2 3/4 = 11/4.
Divide 31 1/2 by 11/4: 31 1/2 ÷ 11/4 = 31 1/2 × 4/11 = 126/22 = 5 11/22.



Therefore, about 5 11/22 pinewood derby cars can be displayed side-by-side on the shelf.

Learn more about Number of pinewood derby cars that can be displayed on a shelf here:

https://brainly.com/question/14246823

#SPJ3

How many numbers in the data set are within 1 standard deviation of the mean?

a.13
b.14
c.15
d.16

Answers

The answer to this question would be: A.13

In this question, the mean is 20.2 and the standard deviation is 2.4. That means the range for of 1 standard deviation would be 20.2 +- 2.4= 17.8- 22.6
The number that included in that range would be 18-22. Then you just need to add them all

18  =2
19  =3
20 =4
21  =3
22 =1
The answer would be: 2+3+4+3+1 = 13

Which of the following numbers are divisible by 2? 74 , 296, 1110, 148, 370, 666, 9324, 111, 37, 555 , or 333?

Answers

All the even numbers r divisible by 2.
Which means the answer is 74, 296, 1110, 148, 370, 666, 9324.

14.4% of what is 10.44

Answers

Convert 14.4% into the decimal fraction 0.144.  Then 0.144x = 10.44.

Dividing both sides by 0.144, x = 10.44/0.144 = 72.5.

The "what?" is 72.5.

Opening up the monthly cell phone bill can be alarming due to the uncertainty of the bill. suppose the amount of minutes used per month is distributed normally with a mean of 700 minutes and a standard deviation of 120 minutes. what is the probability that more than 940 minutes were used?

Answers

Given the mean of 700 min. and the std. dev. of 120 min., we need to find the z-score for 940 minutes and then the area under the std. normal curve to the right of that z-score.
                                                        940 - 700
The applicable z score here is z = ----------------- = 2.  What is the area under
                                                              120
the curve and to the right of 2 std. deviations from the mean?

You could find the answer from a table of z-scores, or you could take advantage of the empirical rule.  The empirical rule states that 95% of the normally distributed data set lies within 2 std. dev. of the mean.

The area to the right of z=2 is 0.5 (half the area under the std. normal curve) less 0.95/2, that is, less 0.475.

Subtracting 0.475 from 0.500 yields 0.025 (answer).  2.5% of the time, the monthly phone bill will exceed 940, or 2 std. dev. above the mean.

Answer:

the required probability = 0.25

Step-by-step explanation:

Mean = 700 minutes , Standard Deviation = 120 minutes

To find : the probability that more than 940 minutes were used.

Solution : First find the z-score for 940 minutes and then find the area under the curve to the right of associated standard deviations from the mean.

[tex]z-score=\frac{\mu_2-\mu_1}{\sigma}\\\\\mu_1=700,\mu_2=940,\sigma=120\\\\\implies z-score=\frac{940-700}{120}\\\\\implies z-score=2[/tex]

Now, calculate the area under the curve to the right of 2 standard deviations from the mean.

Take confidence level to be 95%.

The area to the right of 2 standard deviations is 0.5 that is half the area under the standard normal curve.

[tex]\implies Area < \frac{0.95}{2}\\\\\implies Area<0.475[/tex]

Now, to find the probability that more than 940 minutes were used = 0.5 - 0.475 = 0.25

Hence, the required probability = 0.25

Frank's Factories has a staff of sales people like Anthony, who receives a monthly salary of $2,750.00 plus an incremental commission based on the table below. If he sells $27,300.00, what is his total gross pay for the month?

Answers

The total gross pay for the month is $3,930.80 if Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00 plus an incremental commission based on the table below. If he sells $27,300.00,

Fixed monthly salary = $2,750.00

First commission = 4.1% of 15,000 = $615.00

Second commission = 4.6% of (27300 - 15000) = $565.00

Total gross pay for the month = $2,750.00 + $615.00 + $565.80

= $3,930.80

Thus, the total gross pay for the month is $3,930.80 if Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

To calculate Anthony's total gross pay for the month, consider his base salary and incremental commission based on sales, resulting in a total gross pay of $4,934.00.

To calculate Anthony's total gross pay for the month, we need to consider his base salary and incremental commission based on sales.

Base salary: $2,750.00

Commission on $27,300.00 sales: Using the incremental commission table, the commission percentage for sales between $27,194-$31,479 is 8%. Thus, commission = $27,300.00 * 8% = $2,184.00

Total gross pay = Base salary + Commission = $2,750.00 + $2,184.00 = $4,934.00

Please help..click on picture...I rrally need help

Answers

so the students are on 5:6 ratio from volleyball to football, and we know there are 220 students in total.

[tex]\bf \cfrac{volleyball}{football}\qquad 5:6\qquad \cfrac{5}{6}\implies \cfrac{5\cdot \frac{220}{5+6}}{6\cdot \frac{220}{5+6}}\implies \cfrac{5\cdot 20}{6\cdot 20}\implies \cfrac{100}{\stackrel{football}{120}}[/tex]

What is the simplified form of the following expression

Answers

Final answer:

To simplify the given expression, factor out the common factors from the denominator and rewrite the expression using the factored form.

Explanation:

To simplify the given expression, we first need to simplify the denominator. This can be done by factoring out a common factor of 4 from each term:

(4a + 2)(2a - 3)

Next, we can rewrite the expression using the factored form:

1 / (4a + 2)(2a - 3)

This is the simplified form of the given expression.

The answer is c. [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex]

Separate the cube root: We can break down the cube root of a fraction into the cube root of the numerator divided by the cube root of the denominator:

[tex]\sqrt[3]{\frac{4 x}{5}} = \frac{\sqrt[3]{4 x}}{\sqrt[3]{5}}[/tex]

Simplify the cube root of 5: Since 5 is a perfect cube (5 = 1 * 5 * 5), its cube root is simply 5:

[tex]\frac{\sqrt[3]{4 x}}{\sqrt[3]{5}} = \frac{\sqrt[3]{4 x}}{5}[/tex]

Rationalize the denominator: To make the expression look more simplified, we can eliminate the cube root in the denominator. We do this by multiplying both the numerator and denominator by the cube root of 5:

[tex]\frac{\sqrt[3]{4 x}}{5} \times \frac{\sqrt[3]{5}}{\sqrt[3]{5}} = \frac{\sqrt[3]{4 x} \times \sqrt[3]{5}}{5 \times \sqrt[3]{5}}[/tex]

This simplifies to:

[tex]\frac{\sqrt[3]{20 x}}{5}[/tex]

Therefore, the simplified form of the expression is [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex].

Complete Question:

What is the simplified form of the following expression?

[tex]\sqrt[3]{\frac{4 x}{5}}[/tex]

a. [tex]$\frac{\sqrt[3]{4 x}}{5}$[/tex]

b. [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex]

c. [tex]$\frac{\sqrt[3]{100 x}}{5}$[/tex]

d. [tex]$\frac{\sqrt[3]{100 x}}{125}$[/tex]

Which of these statements is true?
A) 4 x 5 – 7 + 9 = 28
B) 4 x 5 – (7 + 9) = 22
C) 4 x 5 – (7 + 9) = 4
D) 4 x 5 – 7 + 9 = 44

Answers

the correct answer is C

Find the radius of a circle with the given circumference.

15 ft.

r =

A.30 ft.
B.30 ft.
C.7.5 ft.
D.7.5 ft.

Answers

Answer: [tex]\dfrac{7.5}{\pi}\ ft[/tex]

Step-by-step explanation:

We know that , the circumference of a circle is given by :-

[tex]C=2\pi r[/tex] , where r is the radius of the circle.

Formula for radius :  

[tex]r=\dfrac{C}{2\pi}[/tex] , where C is the circumference of the circle.

Given : Circumference of circle = 15 ft.

Then , the radius of a circle will be :-

[tex]r=\dfrac{15}{2\pi}=\dfrac{7.5}{\pi}\ ft[/tex]

Hence, the radius of a circle= [tex]\dfrac{7.5}{\pi}\ ft[/tex]

Liliana takes 4 breaths per 10 seconds during yoga. At this rate, about how many breaths would Liliana Take in 2 minutes of yoga?

Answers

There are 60 seconds in a minute so, 10 seconds is 1/6 of a minute. Therefore, 4 times 12 equals 48 breaths.

Mr. Obama would like his daughter to attend Harvard in 6 years when she finishes high school. Mr. Obama would like to invest enough money in a certificate of deposit (CD) now to pay for his daughter’s college expenses. If he estimates that he will need $250 thousand in 5 years, how much should he invest now in a CD that has a rate of 2.8% compounded monthly?

Answers

Mr. Obama should invest a minimum of 215,000 in the CD to realize his goal of 250,000. I assumed a simple compound interest to achieve the answer, however I am not that proficient in investing calculations. I would check with the institution where I am investing the CD for the best answer.

Please help! First rewrite 17/18 and 11/12 so that they have a common denominator then use <, =, or > to order 17/18 and 11/12

Answers

multipy 17×12 and then 11×18 that is over 18×12 so the answer is 204 > 198

Simplify.



16.3 – (–4.2) + 15.9

Answers

16.3 - (-4.2) +15.9 =

16.3 + 4.2 + 15.9 =

36.4


Follow the order of operations, since there is only addition and subtraction start from left to right.

16.3 - (-4.2) = 20.5 + 15.9 = 36.4

Which equation represents a direct variation? y = 2x y = x + 4 y = x y =

Answers

The first equation is a direct variation. This type of equation has a form that is "y = kx," in which k is the constant. Changing both sides by a common multiple will still lead to the equation being evaluated as true, since the values will both increase by that multiple.

which number line represents the solutions to |-2x|=4?

Answers

the answer would be -2 because -2 times -2 equals 4 because two negative equals a positive and a negative and a positive equals a negative.REMEBER THAT
Solve for x by simplifying both sides of the equation, then isolating the variable.

x=-2,2

a rectangle has a side length 2x+9 and side width x. If the perimeter is 36 cm, what is the value of x?

Answers

2(2x + 9) + 2(x) = 36

4x + 18 + 2x = 36

Combine like terms.

6x + 18 = 36

Subtract 18 from both sides.

6x = 18

Divide 6 on both sides.

x = 3

Hope this helps!

One evening, 2/3 of the students in Rick's class watched television.

Answers

is there any information or even a problem to be solved?

The formula for the circumference C of a circle, in terms of the radius, is C=2πr, where r stands for the radius. Rearrange the quantities in this formula to give a new formula for the radius of a circle in terms of the circumference.

A. r= 2C/3.14

B. r=3.14/2C

C. r=C/2(3.14)

D. r= 1/2(3.14)C

Answers

Final answer:

To get the radius of a circle in terms of circumference, divide the formula for the circumference by 2π, thus r=C/(2π). The correct option is C: r=C/2(3.14), considering 3.14 is the approximate value of π.

Explanation:

The formula for the circumference of a circle is given by C=2πr. We are asked to rearrange this formula to make the radius (r) the subject of the formula. To achieve this, we divide both sides of the equation by 2π.

So, dividing both sides of the equation by 2π gives r=C/(2π).

Looking at your options, Option C: r=C/2(3.14), is correct if we consider 3.14 to be the value of π. Therefore, the radius of a circle in terms of the circumference is given by r=C/(2π).

Learn more about Rearranging Formula here:

https://brainly.com/question/40333765

#SPJ12

Find the absolute value of the jacobian, ∣∣∂(x,y)∂(s,t)∣∣, for the change of variables given by x=s+5t,y=3s+8t

Answers

[tex]\left\|\dfrac{\partial(x,y)}{\partial(s,t)}\right\|=\left|\begin{vmatrix}\dfrac{\partial x}{\partial s}&\dfrac{\partial x}{\partial t}\\\\\dfrac{\partial y}{\partial s}&\dfrac{\partial y}{\partial t}\end{vmatrix}\right|=\left|\begin{vmatrix}1&5\\3&8\end{vmatrix}\right|=|-7|=7[/tex]

what is 16 divided by 7? and give me a real answer.

Answers

16/7 is already in lowest terms. It cannot be further reduced.

You can write this fraction as a decimal by simply dividing the top by the bottom.

So, 16/7 = 2.2857142857

Nothing else can be done here.
16/7 cannot be divided any further. It can only be put in decimal or mixed fraction form. In mixed fraction:
16 divided by 7 is 2 remainder 2. That will be 2 2/7
The numerator is the remainder. The denominator remains the same. The whole number is the number from the division.
In decimal, it is 2.286
Hope I helped. Goodluck

Which is the graph of the function f(x) = x2 + 2x – 6? Mark this and return

Answers

Vertex: ( -1, -7 )

Focus: ( -1, -27/4 )

Axis of Symmetry: x = -1

Directrix: y = -29/4


X | Y
———
-3| -3
-2| -6
-1 | -7
0 | -6
1 | -3
Final answer:

The graph of the function f(x) = x² + 2x − 6 is an upward-opening parabola with the vertex at (-1, -7) and a y-intercept at (0, -6). There are no asymptotes for this quadratic function.

Explanation:

To find the graph of the function f(x) = x² + 2x − 6, we need to look at the characteristics of this quadratic equation. This is a parabola that opens upward because the coefficient of is positive. We can find the vertex of this parabola by using the formula -b/2a for the x-coordinate of the vertex.

Here, a = 1 and b = 2. Applying the formula, we get the x-coordinate of the vertex as -b/2a = -2/(2×1) = -1. Now, we plug this value back into the function to get the y-coordinate of the vertex: f(-1) = (-1)² + 2(-1) − 6 = 1 - 2 - 6 = -7. Therefore, the vertex of the parabola is at (-1, -7). The parabola will intersect the y-axis when x = 0, which gives us the y-intercept f(0) = -6. No asymptotes are present in this quadratic function.

The graph of f(x) is symmetrical about the line x = -1 and has a y-intercept at (0, -6). The vertex at (-1, -7) is the lowest point on the graph since the parabola opens upwards. Thus, we are looking for a graph with these characteristics to represent the function f(x) = x² + 2x − 6.

Other Questions
A player holds two baseballs a height (h) above the ground. He throws one vertically upward at speed (vo) and the other one vertically downward at the same speed. Determine the speed of each ball when it strikes the ground and the difference between their times of flight. How much would $400 be worth after 16 years, if it were invested at 3% interest compounded annually? (Use the formula below and round your answer to the nearest cent.)A(t)=P(1+ r/n)^nt When a cell is infected by a virus, synthesis of ______ begins and this protein diffuses away from the infected cell to protect nearby uninfected cells by binding to surface receptors and initiating synthesis of antiviral proteins? Two students are playing a math game. The object of the game is to make the least possible number by arranging the given digits inside absolute value bars on a card. In the first round, each player will use the digits 3, 5, and 7 to fill in the card. What is the least possible number the card can show? True or False: Low taxation would lead to slower economic growth because it encourages citizens and businesses to consume more and invest less Patricia, a three-year-old girl, is having dinner. she looks at her father and says, "i eated food." in this scenario, patricia is exhibiting _____. Please help10 points!!Use conversion factors to convert. Write the factor you used.5 quarts to cups __________600 centimeters to meters ________ The frequency of a given region of the electromagnetic spectrum is more than 3 x 1019 HZ. Note that the speed of light is 2.998 x 108 m/s. Which waves are found in this region? gamma rays visible light microwaves radio waves xrays When we think of successful music entertainment groups of the past sixty years, the beatles almost always appear in the top 5! in the early days, the entertainment group's life cycle could have ended as so many other rock groups dohere today, gone tomorrow. the four musicians were definitely creative and passionate about their craft and genre of music. as the informal leader of the group, john lennon _____________ the others to make important compositional contributions. all four members had the opportunity to create musical compositions and receive copyright credit for their contributions? Dr. Faust famously sold his soul to the devil in what became known as a Faustian pact. But what was the name of the demon with which he wagers his soul? The lizards in the show eat 250 crickets per week.About how any crickets do the lizards eat each day?Explain. _____ results from the tendency to make decisions based on preexisting beliefs even though evidence suggests that those beliefs are wrong. What was the most notable achievement of marie-elisabeth vige-lebrun? Leo is adding gravel to the edge of his driveway he order six bags of gravel for $252 how much would it cost if orders eight bags instead All Matter consists of particles called Units Atoms Cubes Pints please help What must an argumentative essay contain? imagine riding a single-speed bicycle. why do you have to push harders on the pedals to start the bicycle moving than to keep it moving at constant velocity ? A carpenter cut a board 3 3/4 feet long to make a shelf. Before he cut the board, it was 10 1/2 feet long.How long is the remaining piece of the board?Enter your answer, as a mixed number in simplest form Markers are sold in boxes, packs, or as single markers. Each box has 10 packs. Each pack has 10 markers. Draw pictures to show two ways to buy 276 markers. What does where the needle goes, the thread will follow mean? Steam Workshop Downloader