Use the inequalities to answer the following question.

Inequality 1: 2x + 7 < -3

Inequality 2: x – 8 + 3x < -4

Which of the following values make both inequalities TRUE? Select all that apply.

A. 2/3

B. –5

C. 12

D. - 15/2

E. 325

F. –8.25

G. –10

Answers

Answer 1

verifying every options

option A 2/3

2x+7<-3

2(2/3)+7<-3

(4/3)+7<-3

4/3<-3-7

4/3<-10

4<-10×3

4<-30 (not true)

option B

-5

2x+7<-3

2(-5)+7<-3

-10+7<-3

-3<-3not true.

option C

12

2x+7<-3

2(12)+7<-3

24+7<-3

31<-3 not true

option D

-15/2

2x+7<-3

2(-15/2)+7<-3

-30/2+(7)<-3

-15+7<-3

-8<-3 true

testing for second equation

x-8+3x<-4

(-15/2)-8+3(-15/2)<-4

-7.5-8+3×-7.5<-4

-15.5-22.5<-4

-38<-4 true

option E

325

2x+7<-3

2(325)+7<-3

650+7<-3

657<-3 not true

option F

-8.25

2x+7<-3

2(-8.25)+7<-3

-16.5+7<-3

-9.5<-3 true

second equation

x-8+3x<-4

-8.25-8+3(-8.25)<-4

-16.25-24.75<-4

-41<-4 true

option G

-10

2x+7<-3

2(-10)+7<-3

-20+7<-3

-13<-3 true

x-8+3x<-4

-10-8+3(-10)<-4

-18-30<-4

-48<-4 true

answer...option D, F, G


Related Questions

14m + 5i - 6s + 7s - 8i + 11s - 9s - 4i + 10p - 3p + 5i

There are (fill in the blank) total terms in the expression above.

Answers

Answer: What type of problem is this lol

Step-by-step explanation:

the answer is 1,056si

A basketball player made 40 out of 50 free throws in last week's games.

a) Find the player's free-throw
percentage. (I believe it's 80%)

b) If the player averages eight free throws
per game, how many of them should she expect to make?

Answers

Answer:

a) The player's free-throw percentage is 80%

b) If the player averages 8 free throws per game, she should expect to successfully make 6.4 or about 6.

Step-by-step explanation:

Make the percent (80%) a fraction, 80/100.

Since the total amount of throws she makes is 8, put 8 as the denominator (bottom of the fraction) and an x as the numerator (top of the fraction) since the amount of throws she will make is unknown.

Because 80/100 is her free throw percentage, it should be consistent with the 8 she throws each game. Due to that, the x/8 is equal to the 80/100.

With the equation 80/100 = x/8, multiply diaganolly and you should get 640/100x.

When you divide that, you get 6 40/100 or 6.4 free throws made per every 8 throws. Because you can't make 0.4 of a throw, you round therefore making it 6.

I hope this helps!!! :)

The player's free-throw percentage is 80%.The player should expect to make approximately 6 to 7 free throws per game.

a) To find the player's free-throw percentage, divide the number of successful free throws (40) by the total number of attempted free throws (50) and multiply by 100.

Free-throw percentage = (Successful free throws / Total attempted free throws) * 100

= (40 / 50) * 100

= 0.8 * 100

= 80%

Therefore, the player's free-throw percentage is 80%.

b) If the player averages eight free throws per game, we can use the free-throw percentage to determine the expected number of successful free throws.

Expected successful free throws = (Free-throw percentage / 100) * Number of attempts

Number of attempts = 8 (since the player averages eight free throws per game)

Expected successful free throws = (80 / 100) * 8

= 0.8 * 8

= 6.4

Therefore, the player should expect to make approximately 6 to 7 free throws per game.

To know more about percentage here

https://brainly.com/question/24877689

#SPJ2

Brainly if correct

In a wildlife preserve, a random sample of the population of 150 raccoons was caught and weighed. The results, given in pounds, were 17, 19, 20, 21, 23, 27, 28, 28, 28 and 32. Jean made the inference, "the average weight of the raccoon population is 25 pounds". Is this statement reasonable? Explain.

Answers

Answer:

    First you add all of the results together for a sum of 243. Then, you divide that sum, 243 by 10, the number of results in total. That means the average weight of 10 random raccoons out of 150 raccoons in that wildlife preserve, is 24.3 pounds. Her statement is not reasonable because Jean stated the average weight of ALL raccoons is 25 pounds.

Step-by-step explanation:

hope this helps :)

No, because the average weight of the raccoons is 24.3 pounds.

Step 1) 17+19+20+21+23+27+28+28+28+32=243

Step 2)
243 divided by 10 = 24.3pounds

Dont need the math just the answers!

Answers

good luck !!!!!!!!!!;$:$:&33

PLEASE HURRY! ITS MATH

Clare has a 1/2 liter bottle full of water. A cone-shaped paper cup has a diameter of 10cm and a slant height of 13cm as Shown. Can she pour all the water into one paper cup, or will it overflow? Explain your reasoning

(The volume of the cone is 1/3πr^2 and 1/2 liter = 500 cubic centimeters.)

Answers

You have to do 10x13 then divide it by 90 cause it’s a right angle

Please answer this, and don’t send that dang scam link.

Answers

Answer:

below

Step-by-step explanation:

52 -> 0 ; 52 doesn't show on the list of numbers

53 -> 1 ; 53 appears once on the list of numbers

54 -> 2 ; 54 appears twice on the list of numbers

55 -> 1 ; 55 appears once on the list of numbers

56 -> 2 ; 56 appears twice on the list of numbers

frequency is referring to how many times it appears so hope that helps.

sorry for the question but what does the scam link do?

Math probability
Can you tell me how you got the answer please hurry

Answers

Experimental probability= number of times an event occurs/ total number of times

From the question we know that the dice was rolled 25 times and from the table we know that ‘5’ was rolled 3 times

So the answer is 3/25

Plz help and explain I’ll give brainliest!

Answers

1) The full adult weight of puppy A will be 32 lbs.
2) 10.6664 should be the adult weight of puppy B.

Sorry if I got the second or first wrong!

Answer:

#1 32 pounds

#2 10.67 pounds

Step-by-step explanation:

#1

25% is 1/4 of the puppy

and 100% is 4/4

so you have to do 8 x 4 = 32 pounds

#2

75% is 3/4 of the puppy adult size

8 x 100/ 75

8x4/3

32/3

10.67 pounds

rectangular prism.
A. 5779ft3
B. 1123ft3
C. 4829ft3
D. 2823ft3

Answers

Answer:

It would be B I think, I'm not sure tho

Step-by-step explanation:

Please help meh no links and please give the right answer.

3. Tommy wraps sandwiches in a deli. A 12-inch sandwich takes 223 feet of paper to wrap. A 6-inch sandwich takes 113feet of paper to wrap. How much paper does Tommy use if he wraps one 12-inch sandwich and three 6-inch sandwiches?

Answers

Answer:

562 feet of paper

Step-by-step explanation:

multiply 113 by 3 and thats the amount of paper Tommy used to make three 6 inch sandwiches, then add 223. And thats the answer.

562 feet of paper is the answer to this question

PLEASE HELP ME I DON’T GET IT

Answers

To solve this all you have to do is multiply seven by the numerator. -3×7 = 21, so, -21/4 simplified would be -5 1/4. so D is correct.

Answer:

D) -5 1/4

Step-by-step explanation:

In this problem there is -3/4 foot change every year and you are trying to see how much changes over 7 years. That means you are multiply the 7 by -3/4. To do that you need to change the 7 into a fraction.

7= 7/1, now you are going to mulitpy the two fractions.

This line represents the numerators:     7 times -3= -21

This line represents the denominators: 1 times 4 =  4

Now that we know our fraction is -21/4 we simplify.

The simplest form you can get is -5 1/4.

I hope this helped, let me know if you have any questions!! :)

chloe has a 20 gift card she uses the gift card to buy 10 music downloads for 0.89 each. she wants to use the gift card to buy a 12 digital movie does chloe have enough money on the gift card to buy a digital movie does chole have enogh money on the gift card to buy the digtal movie let d be the amount left, in dollars, on the gift card after m music downalds


The equation blank can be used to represent the sitition

chole has blank left on the gift card after buying the music downloads
chole blank enghoug money on the gift card to buy the movie.

Answers

Answer:

she spends 8.90 dollars for the music  

Step-by-step explanation:

you just multiply them

Diana rolls a regular dice, what is the chance that she will roll a 4?

Answers

Answer: 1/6

Explanation: There are six sides on a regular dice, and only one of the sides has a four.

guessing it’s a 6 sided dice, so it will be a 1 in 6 chance (1/6) that you’ll get a 4, hope this helps!

Find the value of x. (6x + 4)(5x + 2)(12x-4)°​

Answers

the answer is x=3 hope to help

The man is 6 feet tall. His shadow is 14 feet long. The tree's shadow is 49 feet long. Find the tree's height.

Answers

Answer:

21 ft

Step-by-step explanation:

Answer:

21 feet

Step-by-step explanation:

To make iced coffee, Sara puts her hot coffee into a refrigerator when it’s temperature is at 130 ℉ . The temperature of the coffee drops 4 ½ ℉ each hour. What is the temperature of the coffee after 5 hours?

PLEASE HELP I’M CONFUSED

Answers

To solve this all you need to do is multiply 4 1/2 x 5 and then subtract the Sun by 130°F. So 4 1/2×5 equals 22.5. 130-22.5=107.5. so the temperature of the coffee after five hours is 107.5°F.
If the coffee starts a 130 degrees and it cools if 4 1/2 degrees an hour and is in the fridge for 5 hours so 5 X 4 1/2 and that equals 22 1/2 so you would subtract 130 by 22 1/2 which would equal 107 1/2 degrees or 107.5 degrees

please answer NO LINKS

Answers

Answer:

try 2640 if thats not it then i did my math wrong

Step-by-step explanation:

I’m pretty sure you multiply those three numbers which you get in total is 2,640

what is the answer help im having a mental breakdown

Answers

So if the greatest common factor between 28 and 24 is 4, then you should have 4(7 + 6). If you don’t think it’s right:
4(7 + 6) = 4 x 13 = 52
28 + 24 = 52

*kiz*
4(7+6) cuz 4•7 is 28 and 4•6 is 24

i hope this helps :)

Please help me will give brainliest

Answers

D
All others are raised to an even power therefore will give you a positive number
But s and u raised to an odd power(3 and 1 respectively) therefore their product must be positive for the entire answers to be positive
d
i hope this helps :)

Help ;/ 4.3 is 12.5% of what number?

Answers

Answer:

let x represent the number

12.5n/100=4.3

12.5n=4.3x100

12.5n=430

n= 430/12.5

n= 34.4

4.3 is 12.5% of 290.7
So...
X% times 4.3 equals 12.5
12.5 divided by 4.3 would give you 2.9069...
Now... it’s a percentage so multiply that by 100 and that would give you 290.69 or 290.7.

Garth sells baseball caps outside the stadium. The graph shows the number of caps sold and the income from the sales. It represents a linear function.

Which statement best describes Garth's income from selling these caps?

A. He gets $5.00 per cap.
B. He gets $25.00 per cap.
C. He gets $34.00 per cap.
D. He gets $12.00 per cap.

Answers

he gets 12 per cap

100/8 = 12.50
the answer should be d

HELP HELP The gasoline tank in the walkers van holds 21.2 if the van averages 12 miles per gallon how far can they expect to travel on one tank. lols

Answers

i think the answer would be 1.8milea
The answer is 1.8 hope this helps

NOO BOTS PPL PLS, I NEED HELp, :( Thank you! :)

A 3" x 5" photograph can be enlarged to a panoramic view that is 5" x 10" . What is the ratio of the area of the original photograph to the area of the enlargement?
Express your answer as a common fraction.

Answers

(3*5)/(5*10) =
15/50 =
3/10

Please please please help me

Answers

Answer:

Step-by-step explanation:

Since all the answers are 100s I assume the sizes are 10, 10 and 20.

This would mean there are 2 sides of 10x10 and 4 of 10x20

The total area would be 2*100+4*200=1000. Since that's obviously not one of the answers. We can assume it's probably 15 since it should give us a full 100 number. We know the other two are probably 10 due to their sizes and them obviously being two digits. This would mean it would be 2*100+4*150=800

Answer:  800?

Step-by-step explanation:

Daniel took 1 hour to drive from Town A, to Town B at an average speed of 70 km/h. Then he took 2 hours to drive from Town B to Town C at an average speed of 64 km/h. (a) Find the total distance traveled.




Please put the units after the answer.



(b) Find the average speed for the trip.

Answers

198 km was traveled totally
there’s your answer and the work!!

PLEASE HELP ME!!!!! I WILL MARK THE BRAINIEST TO WHOEVER CAN ANSWER THIS!!!!!! PLEASE HELP ME!!!!!!!!!!!!!!!! I WILL GIVE THE BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is 8/27, 8 students that play out of the total of all students

− 4 = − 3

Change the equation above into y=mx+b form

Answers

i think it’s y=-4x+-3

Answer:

y=-4x+-3

Step-by-step explanation:

Tell whether ratios form a propotion
1/4; 3/12
54/10; 81/15
18/24; 15/20
someone help me pls:(

Answers

Answer: Ratios form a proportion if they are equal when cross-multiplied.

1/4 and 3/12

Cross-multiply these ratios to compare them: 1/4 * 12 = 3, 3/12 * 4 = 3.

So they are equal and form a proportion.

54/10; 81/15

Cross-multiply these ratios to compare them: 54/10 * 15 = 81, 81/15 * 10 = 54.

So they are equal and form a proportion.

18/24; 15/20

Cross-multiply these ratios to compare them: 18/24 * 20 = 15, 15/20 * 24 = 18.

So they are equal and form a proportion.

Hence, all the ratios mentioned above form a proportion.

Step-by-step explanation:

))))))))))))()(())))))))))))))

The double dot plot shows the number of points scored by Sam and Daniel in 15 games. What is the difference between their medians?

Answers

Answer:

4.9

Step-by-step explanation:

Gordon attends Brown Deer College. This year's tuition costs $15,660. Gordon has a baseball scholarship that will pay $4,500 this year. His parents have saved $3,200 that he can use for this year's tuition. Gordon will need to borrow the rest. How much money will he need to borrow in student loans this year?

Answers

Tuition = $15,660

Baseball scholarship pays = $4,500

Parents pay = $3,200

$4,500 + $3,200 = $7,700 = How much is payed so far

$15,660 - $7,700 = $7,960

$7,960 is how much money he will need to borrow in student loans this year.

ANSWER: $7,960

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