solving a compound inequality. check all that apply.

Solving A Compound Inequality. Check All That Apply.

Answers

Answer 1

Answer:

The solutions are:

-28.25, -14.5, -2.25

Step-by-step explanation:

Given compound inequality is:

[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]

The compound inequalities are broken down into two inequalities to find the solution

The two inequalities will be:

[tex]\frac{2x+4}{3} \geq -17.5[/tex]   AND   [tex]\frac{2x+4}{3}<{17.5}[/tex]

Solving both inequalities one by one

[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]

The solution is:

-28.25 ≤ x < 24.25

We have to see which options lie in the solution range.

The solutions are:

-28.25, -14.5, -2.25


Related Questions

please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)

Answers

correct answer is that i need help with this too.

To graduate you must take at least 12 core credits and 6 electives credits and you can take no more than a total of 26 credits. Write a system of inequalities that defines how many of each you can take.

C≥12,E≥6,C+E≤26

C+E≥18,C+E≤26

C+E≥18,C+E<26

C≤12,E≤6,C+E≤26

Answers

Answer:

C≥12,E≥6,C+E≤26

Step-by-step explanation:

i just took the quiz and got it right

The system of inequalities will be C≥12, E≥6, and C+E≤26. Then the correct option is A.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The Inequality to graduate you must take at least 12 core credits,

C≥12

The Inequality to graduate you must take at least 6 electives credits,

E≥6

No more than a total of 26 credits for both core and electives.

C+E≤26

Hence, the correct option is A.

To know more about inequality follow

https://brainly.com/question/24372553

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wHaT is 3+3x+45??????????

Answers

Answer:

3x+48

add 3+45=48

Step-by-step explanation:

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

Answer:

3(x+16)

Step-by-step explanation:

45+3=48

3x/3=x

48/3=16

3(x+16)

The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?

Answers

Answer:

The number of dimes  is represented by x = 90

Step-by-step explanation:

Given that:

The number of dimes  is represented by x

Number of quarters = 6  + 2x

Total number of coins in the bag = 276

To find x, we have:

x + 6 + 2x = 276

3x + 6 = 276

3x = 276 - 6

3x = 270

x = 270/3

x = 90

2X+20 and X+60 I have to solve for X

Answers

Answer:

x = 40

Step-by-step explanation:

I don't understand, but I think you mean 2x + 20 = x + 60

So that's what I'm going to solve for if that's wrong tell me what you mean.

2x + 20 = x + 60 (subtract 20 on both sides)

2x = x + 40 (subtract x on both sides)

x = 40

HOPE THIS HELPS!

IF YOU HAVE A QUESTION ABOUT THIS COMMENT.

Answer:

x = 26.6

Step-by-step explanation:

1. 2x+20+x+60

2. Combine like factors (x' s, and 20+60)

3. 3x+80

4. divide 80 from 3 (80/3)

5. 26.6

State the operations used to solve the following equation 2x+8=9

Answers

Answer:

Subtraction and Division

Step-by-step explanation:

2x+8=9

2x+8-8=9-8

2x=1

x=1/2

When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%

Answers

Answer:

50%

Step-by-step explanation:

Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails

Answer:

100%

Step-by-step explanation:

There is a 50% chance of getting heads, and 50% chance of getting tails.

If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.

(n+8)/5=(n-1)/2 what is n

Answers

Answer:

Step-by-step explanation:

n=7

David roller skates 33 miles in 2
3/4 hours. What is his average speed in
miles per hour?

Answers

Answer:

12 miles per hour

Step-by-step explanation:

Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!

Answers

The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.

What is a Linear Relationship?

On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.

The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.

Learn more about linear relationship on:

https://brainly.com/question/7040405

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Question 1 (5 points)
(02.01 LC)

Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)

a. 2 units
b. 3 units
c. 4 units
d. 5 units

Answers

Answer:

The answer to this question is b. 3 units

Answer:

D. 5 Units

Step-by-step explanation:

A translation is a different way of saying that the shape was moved. So since this is a movement nothing changed about the length of the line segment, meaning the line segment stayed 5 units.

Plz, Help me with this question.

Answers

Answer:

12x + 16y

Step-by-step explanation:

Multiply 4 and 3x to get 12x.

Multiply 4 and 4y to get 16y.

The sign stays positive because 4 is positive, so we end up with 12x + 16y.

Find the slope of (4,4) (-6-4) plz need this like in 20 minutes

Answers

Answer:

The slope is 0

Step-by-step explanation:

In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
2
5
20
80

Answers

Answer:

20

Step-by-step explanation:

I hope this helps :))))

20 because you would multiply 100 times .20

what is the domain of the function f(x)=|x|

Answers

Answer:

All Real

Step-by-step explanation:

It’s would be 2/3.6 cause if x/21 of g would be in the 5 of x could equal 9-5+2

Help i will give brainliest to the first one to have a REAL answer

Answers

Answer:

y = -32

Step-by-step explanation:

-6 (y+15) = -3y + 6

-6y - 90 = -3y + 6

-3y - 90 = 6 + 90

= -3 = 96

y = -32

Answer:

Y=28

Step-by-step explanation:

Distribute-6(y+15) > -6y-90

-6y-90=-3y+6 add the -3y to the -6y and the -90 to the 6

-3y=-84

Then just divide -84 by -3

Write the slope-intercept form of the equation of each line.
x + 5y - 10

Answers

Answer:

y = -1/5x + 2

Step-by-step explanation:

I will assume the "-" is an equal sign. Solve for y.

x + 5y = 10

~Subtract x to both sides

5y = 10 - x

~Divide 5 to everything

y = 2 - 1/5x

~Reorder

y = -1/5x + 2

Best of Luck!

I really need help ​

Answers

Answer:

There is a positive correlation in the data set.

General Formulas and Concepts:

Statistics - Scatterplots

Positive Correlation - an upwards trend in the data setNegative Correlation - a downwards trend in the data setNo Correlation - an undeterminable correlation in the data set

Step-by-step explanation:

According the data set on the graph, we can see that if we draw a line of best fit, the overall data would be increasing. Therefore, we would have a positive correlation.

true or false:

Question attached:

Answers

Answer:

true

Step-by-step explanation:

Given that 7x−7y=18
Find x when y=−6
Give your answer as an improper fraction in its simplest form.

Answers

Answer:

-24/7

Step-by-step explanation:

7x -7(-6) = 18

7x + 42= 18

7x = -24

x= -24/7

please help me with the question

Answers

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500


Which expression is the simplest form of
(x4/7)^7

Answers

Answer:

7

Step-by-step explanation:

To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients

Answers

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

What is m∠J? a 59 , b 61, c 60

Answers

Answer:

I need

Step-by-step explanation:

This

Answer:

B. 61

Step-by-step explanation:

PLEASE HELP ! Which inequality represents “nine more than three times a number is greater than 21”.
A. 9n > 21
B. 9+ 3 > 21
C. 3n +9 > 21
D. 9n + 3 > 21

Answers

Answer:

C

Step-by-step explanation:

Answer:

C. 3n+9>21

Step-by-step explanation:

Ignore the 9 for a second and think about the phrase "3 times a number", if we say n is the number, then 3n is 3 times the number n.

Now we need something that is 9 more than this 3n, that means you add 9 to this, so you have 3n+9.

Finally, this 3n+9 is greater than 21, so we have 3n+9>21.

Can someone tell me how does this make sense?- or am I being stupid?

Answers

Answer:

It looks like she/he didn't count the question and just gave extra points. This made me lose some brain cells

Step-by-step explanation:

Two hundred wildebeests and 150 gazelles grazed on the savannah what was the ratio of gazells to wildebeests grazing on the savannah/

Answers

Answer:

150:200

Step-by-step explanation:

You can simplify it too. 3:4

for f(x)=-3x+2 find each value

f(-4)=

f(5)+8=

f(3)-f(6)=

Answers

Step-by-step explanation:

1. f(-4)=-3x+2

x=-4

f(-4)=-3(-4)+2

f-4=-3-4+2

f-4=-5

f-4/-4=-5/-4

f=5/4

Evaluate start fraction 2 over 3 end fractionx for x = three-fourths
A. one-half
B. eight-ninths
C. The fraction states 9 over 8.
D. 2

Answers

Answer:

A

Step-by-step explanation:

London bought snacks for her team's practice. She bought a bag of apples for $2.25 and a 18-pack of juice bottles. The total cost before tax was $9.63. Write and solve an equation which can be used to determine
j
j, how much each bottle of juice costs?

Answers

Answer:

go to siri

Step-by-step explanation:

go to your phone

go to siri

and ask

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