Solve the inequality.
-12 < 1/2(x+16) < 18

Answers

Answer 1

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20


Related Questions

I need help please!!!

Answers

Answer:

Step-by-step explanation:

1. p║ q

50+130 = 180

If the same side interior angles are supplementary angles then the lines are parallel.

2. p║ q

70 = 70

If the corresponding angles are congruent the lines are parallels.

4. p║ q

x = x

If alternating exterior angles are congruent then the lines are parallel.

5. we do not know if p is parallel with q

We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.

7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.

3x= 45 , divide both sides by 3

x= 15

For x = 15 the p║ q

8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.

2x+10 = 120, subtract 10 from both sides

2x = 110, divide both sides by 2

x = 55

For x = 55 the p║ q

P=[−3610−4] , Q=[−2571] , R=[4−20813]

Given the three matrices above, evaluate P+Q.

P+Q=[acbd]. Find the values of a, b, c, and d.

Answers

Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]

The values of a, b, c and d is determined by the addition of matrices P and Q, that is:

[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

We have that the matrices are:

[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]

Then:

[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]

Finally:

[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

Thus, the values are:

[tex]a = -5, b = 8, c = 11, d = -3[/tex]

A similar problem is given at https://brainly.com/question/24810141

The opposite angles formed by two intersecting lines are ______?

1)of equal measures/ समान मापाचे

2)supplimentary / पूरक

3)of unequal measures / असमान मापाचे

4)corresponding angles / संगत कोन​

Answers

Answer:

1)

Step-by-step explanation:

The opposite angles formed by two intersecting lines are of equal measures.

They are called vertically opposite angles.

-5x + 13 = -17 two step equation​

Answers

Answer:

X = 6 see below

Step-by-step explanation:

-5x + 13 = - 17

Step One:

subtract 13 from each side

-5x = - 30

Step two:

divide each side by - 5

x = 6

Help please i need this done by tomorrow

Answers

Step-by-step explanation:

here you go I hope my answer is correct goodbye

Answer:

i think you draw it

Step-by-step explanation:

it tells you the answer

In the year 2010, a company made $3.2 million in profit. For each
consecutive year after that, their profit increased by 11%. How much would
the company's profit be in the year 2013, to the nearest tenth of a million
dollars?

Answers

Answer:

result is $6432.00 | 221.43

which number is bigger 5.72 or 4.75?​

Answers

Answer:

5.72

Step-by-step explanation:

Answer:

5.72 is bigger then 4.75

Step-by-step explanation:

The pyramid of Khafre measured 143.5 meters high. The pyramid of Menkaure measured 65.5 meters high. Write and solve an equation to find d, the difference in the heights of these two pyramid.

Answers

Answer:

See below

Step-by-step explanation:

The pyramid of Khafre measured 143.5 meters high.The pyramid of Menkaure measured 65.5 meters high.

The difference in the heights of the two pyramids:

d = 143.5 m - 65.5 md = 78 m

Lets see

d is difference between the heights

143.565.5

So

d=143.5-65.5d=78m

can someone please help me with this question including a full explnation? ​

Answers

Given :-

Diameter of table = 2.3m Length of cloth to be hanged = 10cm .

To find :-

The area of tablecloth required .

Solution :-

According to Question ,

r = 2.3/2 + 10/100 m r = 1.15 + 0.1m r = 1.25m

As we know that ,

Area = πr²Area = 3.14 * 1.25 * 1.25 m² Area = 4.90 5m²

Mrs. James needs to have her Jeep repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality represents the greatest number of hours the mechanic can work without exceeding Mrs. James' budget?

Answers

Answer:

375 = 40x + 100

Step-by-step explanation:

what are the answers

Answers

Answer:

1. £44.82

2. £99.78

3.not sure

4. not sure

the answer is what the person above said

In a walk-a-thon a sponsor will donate $20 and an additional $3 for each mile the participant walks. What is the rate of change in the situation? Fill in your answer in the boxes below.

Answers

Answer:

20 + 3x or +3 per mile

Step-by-step explanation:

How do I solve for Y?

Answers

Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

14. A customer's cell phone bill cost $60.50. The company charges a monthly fee of $28 plus
five cents for each minute. Create and solve an equation for the number of minutes the
customer spent talking on the phone. Let m represent the number of minutes.

Answers

your work is not complete

What is 5( x - 3 ) = 5x - 15?

Answers

[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]

The answer is 0.LHS = RHS, hence verified.

Value of x (substitute 0 in the place of x).

[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]

So, value of x is 0.

[tex]5x^{2} -10x+5-xy+y[/tex]

Answers

(X-1) x (5x+5-y)
That the answer

how many solutions exist for the given equation?
1/2 (x + 12)= 4x - 1
zero
one
two
infinitely many​

Answers

Answer:

1

Step-by-step explanation:

as the maximum degree is 1

Due tomorrow please help

Answers

Answer:

The choice B.

[tex]x > 4 \\ x < - 1[/tex]

I hope I helped you^_^

members of a softball team raised 1405.25 to go to a tournament. they rnted a bus for 822.50 and budgeted 27.75 per each players . write and solve an equation which can be used to determine x , the number of players the team can bring to the tournament

Answers

Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.

Given the Parameters :

Total amount raised = 1405.25

Bus rent = 822.50

Amount per player = 27.75

We could represent the expression to calculate the number of players thus :

Total amount raised = (Bus rent + (amount per player × number of Players))

1405.25 = 822.50 + 27.75x

1405.25 - 822.50 = 27.75x

582.75 = 27.75x

x = (582.75÷27.75)

x = 21 players

Therefore, the Number of players would be 21.

Learn more : https://brainly.com/question/16102577

one-third of the sum of x and 2 as an expression ​

Answers

Answer:

[tex]\frac{1}{3}[/tex](x+2)

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

1) Let the number be x.

2) To find one-third of a number, divide the number by 3 ,

3) x÷3.

a basket holds n apples. U-Pick 2n-3+ apples, and your friend picks n+4 apples. How many apples do you and your friend pick all together? How many baskets do you need to carry all the apples? Justify your answer.

Answers

Answer:

3n+1

Step-by-step explanation:

2n-3+n+4=3n+1

...............

What does this equal? Show your work pls

Answers

Answer:

can u show us the question

Step-by-step explanation:

Is my WiFi tripping or there’s no questions

Lucie spent 1/4 hour shooting baskets. She made 15 baskets durning that time. How many baskets would she make in 3 1/2 hours?

Answers

Answer:

15*4=60;60*3.5=210

Step-by-step explanation:

60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets

Answer:

answer is 1/4 × 3 1/2 =

3 1/8

Find g(f(x)).

f(x) = x + 1
g(x) = [tex]\sqrt{x} -3[/tex]

Please show work so I can understand it because my teacher has been out all week and I need to know how to do this for a test tomorrow.

Answers

Step-by-step explanation:

82o2992838r7eidie3

kkqkoqlqw..w.wlw

Is light respiration beneficial or harmful to plants?

Answers

Answer: Even thought it’s the ultimate substrate it can be harmful to plants

Step-by-step explanation: it also reduces glucose for cellular respiration

HELP GRAPH THE LINE THAT REPRESENTS THIS EQUATION

y +2 = 1/2(x +2)

Answers

Answer:

Step-by-step explanation:

Peyton made a 40% on her Math test. If she got 12 questions correct, how many total questions were on the test?

Answers

Answer: 30

Step-by-step explanation:

 40% = 12  |  40% + 40% = 80%  |   80% = 24  |  12 / 2 = 6  |  6 = 20%  | 40% + 40% + 20% = 30 questions

Please note that i'm not a professor and i might have this wrong.

Find all numbers whose absolute value is 5.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".

Answers

Answer:

5 , |-5|

Step-by-step explanation:

2 of the above are the absolute value of 5

The two numbers whose absolute value is 5 are 5 and -5.

Numbers whose absolute value is 5 can be both positive and negative.

The absolute value of a number is its distance from zero on the number line, so any number that is 5 units away from zero in either the positive or negative direction will have an absolute value of 5.

Here are the numbers whose absolute value is 5:

5 (positive 5, because it's 5 units to the right of zero)

-5 (negative 5, because it's 5 units to the left of zero)

Hence, 5 and -5  are the two numbers whose absolute value is 5.

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ3

what angles of rotational symmetry are there for a regular pentagon

Answers

Answer:

a regular pentagon has 72 degrees

Step-by-step explanation:

Pls help this is for a test ill give 20 points

Answers

Answer:

y = 2x+1

Step-by-step explanation:

Given, the slope of a line is 2 and y-intercept is 5.

Here, m=2 and c=1.

The equation of the line in slope-intercept form is given by

              y=mx+c

∴             y=2x+1 is a required equation.

Not sure if it correct or not.

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