Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]

Answers

Answer 1

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Answer 2

Step-by-step explanation:

Step 1:  Find the solution to the first equation

[tex]3 - 2a < 13[/tex]

[tex]3 - 3 - 2a < 13 - 3[/tex]

[tex]-2a < 10[/tex]

[tex]-2a / -2 < 10 / -2[/tex]

[tex]a > -5[/tex]

Step 2:  Find the solution to the second equation

[tex]5a < 17[/tex]

[tex]5a / 5 < 17 / 5[/tex]

[tex]a < 3.4[/tex]

Answer:  [tex]-5 < a < 3.4[/tex]


Related Questions

can someone help? 25 points

Answers

Answer:

8 hours

Step-by-step explanation:

HE has to pay $7 an hour.

8*7=56

He has a descount of $3, so

$56-$3=$53.

Which is the exat amount of money that Tony has.

Answer:

The answer is 46

Because he wants to spend less so you would do

7x7=49

He could only rent the boat for 7 hours because that would be less than 53$

Now you do 49-3=46

Because he had a discount

So the answer is 46

Step-by-step explanation:

Hope this helped!

Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers

Answers

Answer: 29

Step-by-step explanation:

3x2= 6

4x2=8

3x5=15

6+8+15= 29

hoped I helped you a bit! Good luck! :)

Find the value of the variables for each set or similar figures

Answers

Answer:

3

Step-by-step explanation:

Round to nearest hundreth

Answers

The answer is 44.42°

hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3

Answers

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

What is a set of ordered pairs

Answers

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

a knife is 3 times the cost of spoon
9 spoons and 12 knives cost £82.80

Answers

Answer:

5 .52

Step-by-step explanation:

do the math. aaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnddddddd this is the best appppp evvvvver

Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

Answers

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.

Answers

583.2 students will enjoy the day! You have to cross multiply so the 3x972=5xE which then equals 2916=5E which equals the answer

Factorise this expression as fully as possible
4x^2+x^3

Answers

Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

Can someone help me with this

Answers

Answer:

30.5 and 46

Step-by-step explanation:

The minimum is 30.5 and the maximum is 46

2/9 times n = -6. find the value of n. Please help!

Answers

Answer: n = -27

Step-by-step explanation:

2/9n = -6

divide both sides by 2/9

n = -27

Answer is: n= -27

Explaination: figure it out

Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer

Answers

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

Answers

Answer:

= 1/2 inches ^3

Step-by-step explanation:

The volume of a prism

V = l*w*h

  = 2 * 1 *1/4

  = 1/2 inches ^3

Answer:

[tex] = \frac{1}{2} {in}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 1 \times \frac{1}{4} \times 2 \\ = \frac{2}{4} \\ = \frac{1}{2} {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box

Answers

Answer:

A=264

Step-by-step explanation:

4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.

Answers

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

can someone give me some examples of statistics PLEASE

Answers

Answer:

Weather Forecasts,Genetics,Medical Studies i think

Step-by-step explanation:

I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?

Answers

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

The area of a circle is 4π x 2 + 12πx + 9π.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.

Answers

Answer:B D

Step-by-step explanation:

I just got it right

A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?

Answers

Answer:

A bag contains:

8 blue balls.

7 green balls.

5 red balls.

The probability that the ball is red would be:

P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25

Hope this helps!

:)

Answer:

0.25

Step-by-step explanation:

Total balls: 8 + 7 + 5 = 20

Red balls: 5

P(red) = 5/20 = 0.25

match the type of graph with its description

Answers

Answer:u tell me doc

Step-by-step explanation:

Correct answers only!

To the nearest cent, how much interest will he earn in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: $8.40

Step-by-step explanation:

The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.

First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.

B=40(1+r)^t

R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.

B=40(1+0.10)^t

T is time: 2 years

B=40(1+0.10)^2

Now that we have the equation filled out, we plug this into a calculator.

48.4=40(1+0.10)^2

We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.

48.4-40=8.4

Solve the following system of equations {4x−6y=105x+6y=−55

Answers

Answer:

31557778998765432

Step-by-step explanation:

is it impossible

Find the perimeter and the area of the polygon with the given vertices.

S (3,0), T (3,9), U (8,9), V (8,0)

Answers

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible

Answers

Answer:

likely or probable

Step-by-step explanation:

hhhgfd

Likely or probable

You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?

Answers

33% profit

ratio: 15:45

That can be simplified into 1:3

The price is increased by $15, which is 1/3 of the original $45.

1/3 as a percentage is about 33%.

There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?

Answers

Answer:

180 teachers

Step-by-step explanation:

In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:

% teachers    #teachers

       45                 81

       100                 x

we apply the rule of three:

x = 100 * 81/45

x = 180

which means that there are a total of 180 teachers at Russell High

Write nine minus the quotient of two and a number x as a expression variable

Answers

Answer:

9-(2/x)

Step-by-step explanation:

What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles

Answers

Answer:

The population density is 7592 people per square mile

Step-by-step explanation:

The population density of los Angeles here refers to the number of people present by square miles

Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles

The population here is 4,000,000 while the area is 503 square miles

The population density is thus ;

4,000,000/503 = 7592.29 which is approximately 7592 people per square mile

Which expression is equivalent?

7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19

Answers

D is the answer -8x + 19

Answer:

this is so overdue

Step-by-step explanation:

Other Questions
9. What were Kamikaze attacks? Some Field Experience in the use of an Accelerated Method in Estimating 28-Day Strength of Concrete" considered regressing y =28-day standard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the true regression line is y =1800 +1.3x.a.What is the expected value of 28-day strength when accelerated strength= 2500? (2 marks)b.By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (4 marks)c. Answer part (b) for an increase of 100 psi. (2 marks)d. Answer part (b) for a decrease of 100 ps Whats the answer to this??? Ami and Bert are drawing plans for rectangular vegetable gardens. In Ami's plan, the garden is 16 feet by 13 feet. In Bert's plan, the garden is 18 feet by 18 feet.Select all true statement(s).A The area of Berts garden is 116 square feet greater than Amis.B The area of Amis garden is 208 square feet.C The area of Berts garden is 72 square feet.D Amis garden has a greater area than Berts garden. 4. Find the surface area of the space figure represented by the net.A 75 cmB 96 cm2C 90 cm2D 69 cm A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters, find the area of the pen? Rising inflation in union states during the Civil War meant that Need help with these three pls!!!!! What is the volume of the cone to the nearest cubic millimeter? (Use = 3.14)A)52 mm3B)157 mm3C)209 mm3D)628 mm3 during which event did the soviet union tried to starve out the democratic government in west berlin in order to turn it communist? can someone help me with this I do not understand it? Explain the relationship between Snowdens actions and the governments likely future operation in regards to sensitive information? Cite evidence from the text in your response. Choose the best summary of these two passages.DNA sequencing will replace fingerprintingbecause it will give scientists more detailedand useful information about people.DNA sequencing will improve fingerprintingtechnologies because it will provide specificinformation linked to fingerprints.DNA sequencing will bring significantchanges to human genomes because it willcause people to rely on fingerprinting. Prompt: What are the central arguments in favor of and against immigration? Which of these arguments do you find to be the most convincing? What arguments of your own could you add to the debate?will mark brainly! need a full paragraph! 70 points! please write this in your own words please help me fast and show all your work please thx Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.Car 1350 milesin 5 hoursCar 2240 milesin 4 hoursCar 3320 milesin 5 hoursCar 4420 milesin 6 hours Amendments must be approved by ______ of the state legislatures. options all 3/41/2none AC =Round your answer to the nearest hundredth.40 what is the theme song of animal crossing