Mathematics High School

Solve the inequality -5(x - 1) > -40, and graph the solution on a number line.

Answers

Answer 1

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

Answer 2

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

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Solve The Inequality -5(x - 1) &gt; -40, And Graph The Solution On A Number Line.

Related Questions

A system of equations consists of two lines. One line passes through (8,4) and (6.3) and the second line passes through (0, -2) and (4.0).

Answers

Answer:

system is:

y = 1/2x

y = 1/2x - 2

No Solution to this system

Step-by-step explanation:


Help pleaseeeeeeeeeee

Answers

Answer:

d

Step-by-step explanation:

Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?

Answers

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

Oliver just accepted a job at a new company where he will make an annual salary of
$54000. Oliver was told that for each year he stays with the company, he will be
given a salary raise of $3000. How much would Oliver make as a salary after 6 years
working for the company? What would be his salary after t years?

Answers

Answer:

After 6 Years:  54000*6 + 3000*5 = 339,000

After t years: 54000*t + 3000*(t-1) = 57000 t - 3000

==============

Please give brainliest, I really want to rank up, thank you!

Answer:

$358,000

Step-by-step explanation:

He makes $54k dollars "annual" = per year

Each year he stays he gets $3k worth of a raise

He stays 6 years so

3000 x 6 = 18k

54,000 x 6= 340,000

so then you just add

18,000 + 340,000=

358,000

I hope that helps :D

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.

Answers

Answer:

Parallel: y = -2x + 2 (Or any value that isn't 4), Perpendicular: 1/2x + (Anything),

Neither: y = 4x - 7 (Or any random equation that does not have the same, or opposite reciprocal slope)

Step-by-step explanation:

hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.

Answers

Answer:

1200

0.65

The answers are in the function

An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP ​

Answers

Answer:

118ft

Step-by-step explanation:

dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome

Please help due two days ago helpp me please Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer. calculate the value of the most appropriate center value of the heights.

Answers

Answer:

I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.

I'm not 100% sure so try at your own risk

Have a great day!

The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

What is Measures of center?

Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".

What is mean?

Mean is the process of "adding all values and then divided by total number of values".

What is median?

Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle  point is the median or if 'n' is even then sum of two mid value and then divided by two".

What is  Mode?

Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".

According to the question,

Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.

Heights in inches                       Frequency

         55                                             1

          57                                              3

          58                                             3

          59                                              2

          60                                              1

          61                                               3

          62                                              3

          63                                              2

          64                                              2

          65                                              2

          66                                              1

           67                                              1

Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12

Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.

= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]

= [tex]\frac{1399}{24}[/tex]

= 58.29.

Mean of heights of siblings are 58.29

Median of the height of 24 siblings are sum of 61 and 62 divided by 2.

= [tex]\frac{61+62}{2}[/tex]                           [since 'n' is odd]

=61.5.  

Median of the height of 24 siblings are 61.5.

Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Learn more about measures of center here

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Which expression is equivalent to 3t - 5 + 8t + 3 ?

Answers

Answer:

11t -2

Step-by-step explanation:

3t - 5 + 8t + 3

Combine like terms

3t +8t- 5  + 3

11t -2

Start by changing the problem to 3t + -5 + 8t + 3.

Now combine like terms.

Combine like terms → your numbers

and your "t" terms.

So 3t + 8t is 11t and -5 + 3 is -2.

So the answer is 11t - 2.

If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.
​

Answers

Answer:

[tex]\dfrac{x+y}{2}[/tex]

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

[tex]R=\dfrac{x+y}{2}[/tex]

So,

If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.

Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458

Answers

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  

What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9

Answers

Answer:

x=2.2

y=-3.4

Step-by-step explanation:

subtract the second from the first

-5x=-11

x=2=2

substituting by x in the first equation

so y=-3.4

CORRECT ANSWER GETS BRAINLIEST
The difference between two numbers is 15. Find the two numbers if twice the small number plus three times the large number total 75. (Be sure to use let statments and an equation when solving)

Answers

Answer:

21 and 6

Step-by-step explanation:

a will be the larger, b the smaller:

a - b = 15

2b + 3a = 75

First, we'll solve the first equation for a in terms of b:

a = b + 15

Then substitute that in for a in the second equation to get a numerical value for b:

2b + 3(b + 15) = 75

2b + 3b + 45 = 75

5b = 30

b = 6

Next, we'll get a numerical value for a:

a - b = 15

a - 6 = 15

a = 21

Check the math:

2(6) + 3(21) = 12 + 63 = 75

Please lmk if you have questions.

Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish.

Answers

Answer:

The correct answers are:

• Option 1,

• Option 3 and

• Option 4

Step-by-step explanation:

From the two-way table, it is true that;

1.) 5 students study both French and Spanish.

2.) 30 students study French but not Spanish.

3.) 2 students study neither French nor Spanish

4.) 35 students study French

5.) 68 students study Spanish

6.) 63 students study Spanish but not French

This makes the correct answers options 1, 3 and 4

P.S: I believe your question is from the attached image

Answer:

A. 5 students study both French and Spanish.

C. 2 students study neither French nor Spanish.

D. 30 students study French, but not Spanish.

:)

I really need help with this

Answers

Answer:add 11 on both sides sorry

Answer: subtract 11 from both sides

Step-by-step explanation: this was an assigned assignment for me two days ago

5. At the end of the performance, the band marches off the field to the right, moving the entire sine curve. Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line. What is the equation of the sine curve representing the position of the band members in Asa’s picture?

Answers

While playing, they move, but still maintain the sinusoidal function, ... 5.At the end of the performance, the band marches off the field to the ... Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line.

What two numbers multiply to -5 and add to 4?

Answers

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

Solve the system of equations below.

Answers

I know this doesn’t answer the question but that is what my work looks like and was wondering if you are doing virtual because I thought it was only my county doing this system

I need help please, anyone will to help?
​

Answers

Answer:you just add the numbers to get answer

Step-by-step explanation:

i think you would add up all the numbers? if not you should try out calculator soup!! it’s helped me many times with this type of math back then!!<33

what is the area of the circle to the nearest square foot?

Answers

Answer:

G. 113

Step-by-step explanation:

We know that the diameter = 12, so the radius = 6.

area of circle = πr²

                       = π (6²)

                       = 36π

                       = 113.0973355 . . .

                        ≈ 113 ft²

solve the equation, then check s + 10.5 = 17.

Answers

17-10.5 =s so therefore s = 6.5

Answer:

s=6.5

Step-by-step explanation:

to check, just substitute s for its value

6.5+10.5+17

so the correct answer is, s=6.5

2 5/6 divided by 3 1/4 please explain .

Answers

2 5/6 divided by 3 1/4 is like multiplying.
You turn both mixed fractions into improper fractions. Then flip 13/4 into 4/13 and multiply. I’m sorry if this doesn’t make sense.

17/6 x 13/4 to 17/6 x 4/13

17/6 x 4/13 = 68/78 = 34/39

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

Help pleas ? Brainliest as prize

Answers

Answer:

9

Step-by-step explanation:

There are 9 x's above 1 letter mailed.

A cab company charges a $10 boarding fee and a meter rate of $2 per mile. The equation is y=2x+10 where x represents the number of miles to your destination. If you traveled 5 miles to your destination, how much would your total cab be?

Answers

Answer: 20$

Step-by-step explanation: You would add 2(5)+10=y so 10+10=y 10 + 10 = 20

In this case (5,20). Hope this helps!!

Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error ​

Answers

Answer:

Kala's first step.

Step-by-step explanation:

Solving linear equations.

Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.

But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.

Can someone help me with this problem

Answers

Answer:

51 degrees

Step-by-step explanation:

As we already know that this triangle is a right triangle.

To find x, you need to subtract both angles.

90 - 39

= 51

you make a scale drawing of a banner for school dance .you use a scale of 1 inch ,2 feet what is the actual width of the banner HELP ASAP!!!!​

Answers

Answer:

6.5

Step-by-step explanation:

you take the sides all added up (which was 13in) and divided it by two

Answer: the answer is 18. Trust me. I know what I’m doing lol

Step-by-step explanation:

2/3 x 6 need help asap​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

i need help with this questionnnn

Answers

I am going to say 3
The answer is 1.7 ! :D

help me please, i’m confused. thanks!

Answers

Answer:

Step-by-step explanation:

The answer is x=9/5. Hope this helps!
Other Questions
help pls ! need it asap After eating a sugary snack, a person's blood sugarlevel may rise for a short period of time. Whichstatement describes the body's way of restoringhomeostasis?A. The brain will stimulate the body to sweatin order to increase blood sugar levels.O B. The brain will stimulate the cells to producemore sugar, increasing blood sugar levels.C. The brain will stimulate the cells tomaintain the elevated blood sugar levels.O D. The brain will stimulate the release of achemical that will lower blood sugar levels. on number 6 what should i color in CORRECT ANSWER GETS BRAINLIESTThe difference between two numbers is 15. Find the two numbers if twice the small number plus three times the large number total 75. (Be sure to use let statments and an equation when solving) A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pinkmarbles.What is P(not yellow)?A 1/5 B 2/5 C 4/5 crime prevention programs that have been successful? Who is the automobile advertisement intended for? the middle class wealthier individuals the working class independent women Choose the correct answer1. The dargah of the Sufi saint Khwaja Moinuddin Chishti is in(a) Ajmer(b) Thanjavur(c) Delhi2. Masulipatnam is situated on the banks of the river:(a) Tungabhadra (b) Krishna(c) Yamuna (d) Tapu3. Kalamkari was an important craft of(a) Hampi(b) Bidar(c) Masulipatnam (d) Surat4. Tirupati, Thanjavur, Madurai and Somnath were important examples of(a) Port towns (b) Temple towns (c) Capital towns (d) None of them5. The artisans under the Cholas specialized in:(a) Textiles(b) Bidri(c) Bronze images (d) Zari work In paragraph 9, the author uses the simile "mad as a hornet" because it -A. O helps create the image that Mrs. Cross was speaking kindly to the narratorB. O helps the reader visualize how angry Mrs. Cross wasC.is a vivid image, and it helps the reader imagine the narrator's moodD. O makes it easier to follow the plot of the story where to put the apostrophe i need help with this questionnnn Search in the internet a picture that demonstrates a skill in harvesting/capturing animal/fish?. Paste the picture below. What is entomophagy? Which of the following is not a result of air pollution? A) acid rain B) smog C)destructive tornados D) ocean acidification need help please......... The market price of Northern Mills stock has been relatively volatile and you think this volatility will continue for a couple more months. Thus, you decide to purchase a two-month European call option on this stock with a strike price of $30 and an option price of $1.60. You also purchase a two-month European put option on the stock with a strike price of $30 and an option price of $.20. Contracts are on 100 shares. What will be your net profit or loss on these option positions if the stock price is $36 on the day the options expire What is the intended outcome when the government deregulates an industry? a.create more competition in the market b.create less competition in the market c.reduce consumer demand for the product d.create a monopoly what is the area of the circle to the nearest square foot? HELP!! TY IF YOU ANSWER ILL MARK YOU BRAINIEST IF YOU CAN DO THIS FOR ME!!! You need to write 4 or 5 sentences! The question is at the bottom of the pic read everything please!