n is an integer such that 3n + 4 < 19 and
10n/n+ 16 > 1
Find all the possible values of n.

Answers

Answer 1

Answer:

Step-by-step explanation:

3n+4<19

3n<19-4

3n<15

n<5

[tex]\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n<0,n<0\\and ~n+16 <0\\n<-16\\again\\10n<n+16\\9n<16\\n<\frac{16}{9} \\combining\\n<-16[/tex]

combining

(-∞,-16)U(16/9,5)

Answer 2

Answer:

n = 3,4,5

Step-by-step explanation:

3n + 4 < 19

3n ≤ 15

n ≤ 5

10n/n+16 > 1

10n > n²+16

-n²+10n-16

(-n+2)(n-8)

n = 2 or n = 8

2 < n < 8

So 2<n≤5 = 3,4,5


Related Questions

Mrs. Wright makes cookies for the school bake sale. She uses the equation y = 0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? The Answer choices are......
A.50 cookies per dollar
B. 5 cookies per dollar
C.$0.50 per cookie
D.$2 per cookie

Answers

Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

Gcf of 5y^2, 10y, 30

Answers

5y is the greatest common factor

What is the slope of the graph?

Answers

Answer:

The slope of the graph is 10.

Salma spend $14 on fruit at the grocery store. She spent a total of $40 at the store. What percentage of the total did she spend on fruit

Answers

Answer:

5.6%  sorry if im wrong i tried

Step-by-step explanation:

40/100=0.4

0.4x14=5.6

Use rounding to estimate the product.

5.17 × 7.64

Answers

Answer:

40

Step-by-step explanation:

5.17 can be rounded to 5

7.64 can be rounded to 8

5*8=40

the correct answer is 28

can someone please help me with this question? thankyou!

Answers

Yea I will try 393 to get the answer I’ll get back to you in a sec

Please give this one a go! I need it ASAP. Thank you for your time

Answers

Answer:

Step-by-step explanation:

f(x)=2x+3

f(x)=0

2x+3=0

2x=-3

x=-3/2

x=-1.5

when x=0,y=f(x)=2(0)+3=3

so one point is (0,3)

when x=2,y=f(x)=2(2)+3=4+3=7

so point is (2,7)

Draw a line through  (0,3) and (2,7)

see where it cuts x-axis.

it is the zero of the linear equation.

zero is x=-1.5

Index form

Need help with this

Answers

Answer:

x^3y^2

there are 3 X multiplied together and 2 y multiplied together

Could someone explain how to solve this

Answers

Answer:

y=\frac{4x}{5}-5

Step-by-step explanation:

linear equation

y=mx+b

We can see that when x=0 y= -5

THis means that b= -5 so we have

y=mx-5

We then know that when x=5 y= -1 so we have

-1=5m-5

Solve this and get m= 4/5

So we have

[tex]y=\frac{4x}{5}-5[/tex]

Answer:

f(x) = [tex]\frac{4}{5}[/tex]x - 5

Step-by-step explanation:

f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).

You can find the slope using the two points:

slope = [tex]\frac{-1 - (-5)}{5 - 0}[/tex] = [tex]\frac{4}{5}[/tex]

Then use point-slope form to make equation:

y - (-5) = [tex]\frac{4}{5}[/tex](x - 0)

y + 5 = [tex]\frac{4}{5}[/tex]x

y = [tex]\frac{4}{5}[/tex]x - 5

can someone help me i dont know what to do here please Explain and answer

Answers

Answer:

For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00

Step-by-step explanation:

Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00

Evaluate (-2)3+(-2)4

Answers

Your answer is -14 :)
That would be -14. See the attached steps! Remember to use PEMDAS.

Two ordered pairs that would form a direct variation

Answers

Answer: Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant.

Step-by-step explanation:

How much would you pay for a $135 chair that is marked up 65%?

Answers

135 x 0.65 =87.75
so the answer
should be
87.75

what is -2(z + 11) =6

Answers

Answer:

z = -14

Step-by-step explanation:

-2(z + 11) = 6

-2z - 22 = 6

-2z = 6 + 22

-2z = 28

-2z/-2 = 28/-2

z = -14

What is the missing value:

[tex]\frac{16}{1}[/tex] =[tex]\frac{x}{2 \frac{1}{2} }[/tex]

Answers

Answer:

[tex] x = 40 [/tex]

Step-by-step explanation:

[tex] \dfrac{16}{1} = \dfrac{x}{2 \frac{1}{2}} [/tex]

Convert the mixed numeral into a fraction.

[tex] \dfrac{16}{1} = \dfrac{x}{\frac{5}{2}} [/tex]

Multiply both sides by 5/2.

[tex] \dfrac{5}{2} \times \dfrac{16}{1} = x [/tex]

[tex] x = \dfrac{80}{2} [/tex]

[tex] x = 40 [/tex]

please help me i’ve been struggling PLEASE !!

Answers

Answer:

1. s=43

2. s=148

3. s=137

Step-by-step explanation:

Not drawn
accurately
AB is parallel to CD.
LMN and PMQ are straight lines.
MQ = MN
B
Work out the value of x. *
(3 Points)
Diagram not drawn accurately.
-D
The value must be a number

Answers

so first u want to get a ruler to measure each sides, there gonna seem big at first so divide what you get on the ruler by 2 so its smaller, then do it for all sides.

Please answer:)fast I need to sleep

Answers

Answer:

20

Step-by-step explanation:

if the container can only hold 3000 pounds, and all of the boxes weigh 150 pounds, then you divide 3000 by 150 to find how many boxes can fit.

3000 divided by 150 = 20

hope this helps! :)

Answer:

20

Step-by-step explanation:

[tex]divide[/tex] 3,000 ÷ 150≈20 To check do 20×150 and you should get the answer 3,000

Find the approximate perimeter of pentagon ABCDE plotted below.
A(-6,5)
B(-2,5)
C(6,0)
D(2,-4)
E(-6,1)

Answers

Answer: 32.5

Step-by-step explanation:

This is the answer on Khan Acadamy

Answer: 32.5

Step-by-step explanation: Khan Academy

A wallthat is 4 ft. 3in.tall is next to a tree. The figure shows the shadows that they cast. What is the height of the treein feet and inches? Show your work.

Answers

I guess you just do 4×3 then get get your answer if you have to show your work just do an array

Kathryn asked 156 people to rate colors were purple, blue, and green as she is creating a new logo using one of her original doodle designs. She found the responses in the ratio 5-3-4. How any people chose purple?

A. 13
B. 65
C. Not possible to tell based on the given information
D. 60

Answers

Answer:

B. 65

Step-by-step explanation:

Given

Total number = 156Ratio = 5:3:4

Equation

5x + 3x + 4x = 15612x = 156x = 13

Number 5 stands for purple in the ratio:

5*13 = 65

Correct choice is B

Two of the desserts are sugar/free. Three of the drinks are sugar-free. A meal deal combination is selected at random. Work out the probability that both the desserts and the drink are sugar free. Give your answer as a fraction

Answers

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

The probability of selecting a sugar free dessert and drink is 2/5

Number of sandwiches = 6

Number of dessert = 3

Number of drinks = 5

Sugar free drinks = 3

Sugar free dessert = 2

Recall :

Probability = required outcome / Total possible outcomes

P(both dessert and drink are sugar free) :

(sugar free dessert) × p(sugar free drink)

(2 /3) × (3 / 5) = 6/15 = 2 / 5

Hence, the probability of selecting a sugar free dessert and drink is 2/5

Learn more : https://brainly.com/question/18153040

Jackson and his sister ran a hose from a bucket into their swimming pool. The hose sprays 1/3 of a gallon from the bucket every second. The bucket started with 32 gallons of water. How long will it take to empty the bucket?

Answers

Answer:

96 seconds are taken to empty the bucket.

Step-by-step explanation:

According to this question, Jackson and his sister are spraying from the bucket from the bucket at constant rate. Dimensionally speaking, discharge time ([tex]t[/tex]), measured in seconds, is the ratio of volume of bucket ([tex]V[/tex]), measured in gallons, to the volume flow from hose ([tex]\dot V[/tex]), measured in gallons per second. That is:

[tex]t = \frac{V}{\dot V}[/tex] (1)

If we know that [tex]V = 32\,gal[/tex] and [tex]\dot V = \frac{1}{3}\,\frac{gal}{s}[/tex], then discharge time is:

[tex]t = \frac{32\,gal}{\frac{1}{3}\,\frac{gal}{s} }[/tex]

[tex]t = 96\,s[/tex]

96 seconds are taken to empty the bucket.

pythagoras 12cm + 17cm

Answers

Answer 433=20.81

Step-by-step explanation:

I need help with this math assignment!! Will mark brainliest!

Answers

Answer:

Sorry but i can't help u.

Step-by-step explanation:

Can anyone help me with this please.

Answers

Answer:

sketch them into a graph and use the vertical-line trick. If you don't know what this is, you see if two points pass through the same verticaly. If it does than it is NOT a function. If it doesn't it IS a function

If it does theStep-by-step explanation:

In ΔKLM, l = 660 cm, ∠L=107° and ∠M=18°. Find the length of k, to the nearest 10th of a centimeter.

Answers

Answer:

565.3 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle KLM:

∠K + ∠L + ∠M = 180° (sum of angles in a triangle)

∠K + 107 + 18 = 180

∠K + 125 = 180

∠K = 55°

We can find the length of k using sine rule:

[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]

PLZ HELP (MUST BE 1000% SURE)
Estimate a 15% tip on a dinner bill of $67.32 by first rounding the bill amount to the nearest ten dollars.

Answers

the answer is 10.5. $67.32 to the nearest ten dollars is $70.00. so all you have to do is multiply 70 by 0.15. i hope this helps.

Written as a simplified polynomials in standard from, what is the results when (3x+8)^2 is subtracted from 9

Answers

Can you take a pic of the question cuz this is confusing me a little

What is the inverse of the function f(x) = 4x + 8?
O h(x) = 1/4x - 2
O h(x) = 1/4x + 2
O h(x) = 1/2x - 2
O h(x) = 1/2x + 2

Answers

To find the inverse of a function, you swap the x and y values. So instead of y=4x+8, it becomes x=4y+8. Now you re-solve for y, and that’s your answer:

x=4y+8
x-8=4y
1/4x-2=y
So h(x)=1/4x-2, or the first option
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