Write an inequality to represent 7 less than the product of a number, n, and 1/6 is at most 45."
Please help me, I need this right away!!!!

Answers

Answer 1

Answer:

The inequality to represent “7 less than the product of a number, n, and 1/6 is at most 45” is:

[tex]\frac{n}{6} -7\leq 45[/tex]

 

Solution:

Let the number be "n"

From given,

7 less than a product of a number n and 1/6 is at most 45

At most means "less than or equal to"

Therefore, inequality is framed as:

[tex]( n x \frac{1}{6}) -7 \leq 45[/tex]

Thus, inequality is:

[tex]\frac{n}{6} -7\leq 45[/tex]

 Solve the inequality:

Add 7 to both sides

[tex]\frac{n}{6} -7 + 7\leq 45 + 7\\simplify\\\frac{n}{6} \leq 52[/tex]

Multiply both sides by 6

[tex]\frac{6n}{6} \leq 52 multiply 6[/tex]

simplify

[tex]n\leq 312[/tex]

Thus the inequality is solved.

hope it help :)


Related Questions

ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14

Answers

Answer:

x=4

y=2

Step-by-step explanation:

x+8y=20

4x−y=14

​To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

x+8y=20,4x−y=14

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x+8y=20

Subtract 8y from both sides of the equation.

x=−8y+20

Substitute −8y+20 for x in the other equation, 4x−y=14.

4(−8y+20)−y=14

Multiply 4 times −8y+20.

−32y+80−y=14

Add −32y to −y.

−33y+80=14

Subtract 80 from both sides of the equation.

−33y=−66

Divide both sides by −33.

y=2

Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.

x=−8×2+20

Multiply −8 times 2.

x=−16+20

Add 20 to −16.

x=4

The system is now solved.

x=4,y=2

for the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

The first term is 5 and the common difference is 9-5=4, so the n-th term is ...

  an = a1 +d(n -1)

  an = 5 +4(n -1) = 4n +1

Then the term number for the term 129 is ...

  129 = 4n +1 . . . . . put the given value in the formula

  128 = 4n  . . . . . . . subtract 1

  32 = n . . . . . . . . . .divide by 4

The 32nd term is 129.

all of the questions

Answers

All of what questions???
I can’t see the picture

The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?

Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.

About 68% of the vehicles have a gas mileage greater than 24 mpg.

About 32% of the vehicles have a gas mileage greater than 24 mpg.

About 84% of the vehicles have a gas mileage greater than 24 mpg.

About 16% of the vehicles have a gas mileage greater than 24 mpg.​

Answers

Answer:

Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg

Combine the like terms to create an equivalent expression: − 3 k − ( − 8 ) + 2

Answers

Answer:

-3k + 10

Step-by-step explanation:

-3k-(-8)+2 = -3k + 8 + 2 = -3k +10

Answer:

-3k + 10

Step-by-step explanation:

-3k + 8 + 2 =

-3k + 10

Hope that helps!

the price of a pair of earrings is $22 but priya buys them on sale for $13.20.

Answers

she got them 40% off

feet = 5/6 in a mile


Please give me a reasonable explanation, not just the answer. Thank you

Answers

One mile = 5,280 feet.

Understand?

I am assuming that you want to know what is 5/6 of a mile.

(5/6)(5,280) = 5(880) = 4,400 feet.

If by IN A MILE you mean division, then we do the following:

(5,280)/(5/6) = (5,280 • 6)/5 = 6,336.

Is either one or the other because your question is honestly not too clearly stated..

Pls I need to know now

Answers

Try to pick the first option above

Write the equation, in standard form of the quadratic relation
Zeros of 5 and 6 and a y-intercept of 30

Answers

Answer:

[tex]f(x)=x^2-11x+30[/tex]

Step-by-step explanation:

The factored form of a quadratic is given by:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where p and q are the zeros, and a is the leading coefficient.

The quadratic relation has zeros of 5 and 6, and it has a y-intercept of 30.

Since the zeros are 5 and 6, p and q are 5 and 6. Thus:

[tex]f(x)=a(x-5)(x-6)[/tex]

The y-intercept is 30. In other words, when x = 0, f(x) = 30:

[tex]30=a(0-5)(0-6)[/tex]

Solve for a:

[tex]30=a(-5)(-6)\Rightarrow 30=30a\Rightarrow a=1[/tex]

Therefore, our quadratic in factored form is:

[tex]f(x)=(x-5)(x-6)[/tex]

To find the standard form, expand:

[tex]\begin{aligned} f(x)&=(x-5)(x-6)\\&= (x-5)x+(x-5)(-6)\\&=(x^2-5x)+(-6x+30)\\&=x^2-11x+30\end{aligned}[/tex]

A swimming pool is treated periodically to control harmful bacteria growth.
The concentration of bacterial per cm³ after t days is given by
C(t)
[tex] = 30t^2 -240t + 500 [/tex]
in how many days after a treatment will be concentration be minimal ?

Answers

Answer:

The answer is 4

Step-by-step explanation:

[tex]c \: (t) = {30ft}^{2} = - 240t + 500[/tex]

For a quadratic function as given to find the minimum you need to write it in vertex or find the vertex (the vertex in a quadratic function is thr maximum or minimum).

Use the next formula to find the t coordinate of the vertex (the time in the minimum concentration of bateria):

[tex]c \: (t) = {at}^{2} + bt + c \\ \\ tm = - \frac{b}{2a} [/tex]

For the given function:

[tex]tm = - \frac{ - 240}{(2)30} = \frac{240}{60} = 4[/tex]

The minimum concentration of bacteria will be after 4 days.

Find the sum.
5y+2/xy^2 + 2x-4/4xy

Answers

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Solve please I’m trying to find out if it’s 1/20 or 5/4

Answers

Answer:

I’m pretty sure it’s 5/4

Step-by-step explanation:

It’s 5/4 what also is 1 and 1/4

Division sum:
12 ➗ 2 =
100 ➗ 1 =

Answers

Answer:

12÷2=6

100÷1=100

Step-by-step explanation:

Answer: 6 and 1

Answer:

6

100

Step-by-step explanation:

in division:

12÷2=6

100÷1=100

On a package of rice the directions say that the ratio of cups of water to cups of uncooked rice should be 5:3 Susan is confused about what the ratio is for cups of water:total cups of ingredients Determine what the correct ratio is for the cups of water total cups of ingredients indicated in the directions.Plz help me I need this!

Answers

Answer:

5:8

Step-by-step explanation:

water - 5 points

Rice - 3 points

total (rice + water) = 8 points.

Water:Total

5:8

3x + 1 = 2x + 5
help .....​

Answers

Answer:

x = 4

Step-by-step explanation:

Combine like terms.

3x- 2x = 1x

New Equation: 1x + 1 = 5

Subtract 1 from 5.

New Equation: 1x = 4

Divide 1 from both sides. 1x / 1 cancels out and 4 / 1 = 4.

What is the average of 89, 91, and 84?

Answers

Answer:

88

Step-by-step explanation:

Use the following formula

Average=Sum/Count

89+91+84=264

264/3

88

Find 2.64 / 0.6 step by step

Answers

Answer: 4.6

Step-by-step explanation:

3(6-14)
Evaluate


0 -15
o 6
0 -1
06

Answers

Answer:

It's -15 hope this helped!!

the absolute value |x-3|<1

Answers

Answer:

in kiloliters its 0.0035

|x-3| < 1

make it to the possible solution

x-3 < 1 -------> (1)

-(x-3) < 1 ------> (2)


in equation (1)

x<1+3
x < 4

in equation (2)

-x + 3 < 1

-x < 1-3

-x < -2

x > 2

x ∈ (2,4)

Which expression in equivalent to 48x-6+3y/3

Answers

Answer:

48x-6+y

Step-by-step explanation:

The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

Calculation of an expression:

Since the equation is [tex]48x-6+3y\div 3[/tex]

We have to divide by whole equation by 3

After dividing it, the expression should be like 16x - 2 + y.

Hence, The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

Learn more about an expression here: https://brainly.com/question/14946461

23. Geometric constructions require the following tools:
O a protractor, compass, and a pencil
O a compass, a straightedge, and a pencil
O a compass, scissors, and a pencil
O a protractor, a straightedge, and a pencil

Answers

Answer:

The correct option is;

Geometric constructions require the following tools;

A protractor, a straightedge, and a pencil

Step-by-step explanation:

The question relates to the tools required for a geometric construction. From the question options, the complete set  of tools with which a geometric construction is made comprises of the following

1) A protractor, which is used for angle measurements

2) A straightedge, which is used to draw lines which are straight or for checking the straightness of a line

3) A pencil, which is made up of a graphite stick reinforced by an enclosure of wood or other material, is used for creating visible marks of drawings or writing on paper or some other writing materials by physical abrasion

A compass is used for navigation of the geographic cardinal directions and comprises of a magnet.

Answer:

Answer is compass, straightedge, and a pencil

Step-by-step explanation

have a nice day :)

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.

Answers

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equal

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

Students at Salt Lake Community College pay 1.667 * 104 dollars for tuition.Students at George Washington University pay 5.5011 * 104 dollars. How many times greater is the tuition at George Washington?

Answers

Answer:

its rigged 1234

Step-by-step explanation:

(2)23x235


Q. 1. Distinguish between 'primary data' and 'secondary data'. Which data is more reliable and why?

Q. 2. What are the various methods of collecting primary data? Explain any one method along with its
merits and demerits.

Q.3. Discuss the published sources of secondary data.

Q.4. Write short notes on: (i) Census of India; (ii) National Sample Survey Organisation.

Q.5. Discuss the precautions to be considered while making use of the secondary data.

Q. 6. What do you mean by a questionnaire? Discuss the principles which should be followed while
drafting a good questionnaire?

Q. 7. What do you mean by census method? Give its merits and demerits.

Q. 8. What is the meaning of sampling method? Briefly discuss the merits and demerits of sampling
method.

please answer me fast

please attempt the question not text me any thing for points ​

Answers

Answer:

Primary Data Secondary Data

Reliability and Suitability

Primary data are more reliable and suitable for the enquiry because it is collected for a particular purpose. It is less reliable and less suitable as someone else has collected the data which may not perfectly match our purpose.

Answer:

(2) Time-consuming This method is time-consuming as investigator personally visits the various places and meet different people to collect information.

3) Secondary data is usually gathered from the published (printed) sources. A few major sources of published information are mentioned below: Published articles of local bodies and Central and State Governments. Statistical synopses, census records and other reports issued by different departments of the Government.

4) National Sample Survey Organisation (NSSO) is the largest and a very prominent agency of India working for the collection of data on various economic variables such as education,health,literacy rates, etc. ... Census of India is responsible for the collection of data related to different demographic characteristics.

5)The investigator must ensure that the data are suitable for the purpose of enquiry. 2. Inadequate Data: Adequacy of the data is to be judged in the light of the requirements of the survey as well as the geographical area covered by the available data.

6)The principles to be followed while drafting questionnaire are: 1) The questionnaire must not contain many questions, as greater the questions, lesser will be the possibility of reply from respondents. 2) The questions should be brief and clear. 3) The questions should be arranged in a logical order.

7) Reliable and Accurate: Results based on census method are accurate and highly reliable. This is because each and every item of the population is studied. Less Biased: Results based on census method are less biased. It is because of the absence of investigator's discretion regarding the selection of sample items.

8) It allows us to get near-accurate results in much lesser time. When you use proper methods, you are likely to achieve higher level of accuracy by using sampling than without using sampling in some cases due to reduction in monotony, data handling issues etc.

Step-by-step explanation:

this is the correct answer you want

please follow me ☺️.

1. Primary data is much more reliable than secondary data. This is because primary data gives up-to-date information about a topic and is collected by doing research, avoiding the use of secondary sources which may include false and not up-to-date information.

2. The most common methods of collecting primary data are interviews, field observations, self-administered surveys, and experiments.

The experimental method:

merits:

-the researcher can have control over variables

-gains insight into methods of instruction

-can be used to determine what's best for the population

demerits:

-sample may not be representative

-human response can be difficult to measure

-subject to human error

---------------

5. Some precautions that should be considered when using secondary data are:

Reliable agency:

-must ensure that the agency that has published the data should be reliable

Method of collecting data used:

-The investigator should also be aware of the method that was used in collecting the data

-Sampling method may be biased depending upon the mode of selection of samples.

-All these should be ascertained before making use of the secondary data.

Suitability for the purpose of an enquiry:

-The Investigator must ensure that the data are suitable for the purpose of the present enquiry.

-The suitability of the data is determined by investigating the nature, objectives, time of collection, etc. of the secondary data.

Adequacy and accuracy to avoid the impact of bias:

-It is necessary to use adequate data to avoid biases and prejudices leading to incorrect conclusions.

---------------

Sorry, I didn't answer all of your questions, but I hope this helps.

4p = 14.4
What is the value of p?
A. 3.6
B 3.8
C.10.4
D.57.6

Answers

the answer to your question is A.

answer: 3.6

Answer:

A. p = 3.6

Step-by-step explanation:

4p = 14.4

To get p by itself we would divide by 4 on each side so

(4p / 4) = (14.4 / 4)

p = (14.4 / 4)

p = 3.6

So answer is A

Hi! Can someone help me on this problem?

Answers

Answer:

64 or 4x4x4

Step-by-step explanation:

4x4x4=64

plz mark brainliest

Answer:

it is B and D

Step-by-step explanation:

someone deleted my answer and you are just an a.ss

A tendency to avoid putting money into high-risk investments is known as being

a.risk-adverse
b.conscientious saver c.investment-adverse
d.saver​

Answers

Answer:

a

Step-by-step explanation:

Answer:

risk-adverse

Step-by-step explanation:

The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.

HELPP PLS it’s literally almost due

Answers

Answer: y = x - 4

Steps:
slope intercept form : y = mx + b

Will explain the rest in comment because you need this now
I don’t know just need to answer a question

Someone please help me

Answers

Answer:

1 read any graph left to right if up positive if down negative

Answer:  1

Step-by-step explanation:

we choice two points to find the slopes.

(0,-5) and (2,-3)

[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]

4). A coin is tossed and a number cube is rolled. Find the probability, p(heads and 7)

Answers

There is no chance that the cube will roll a 7
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