-x/2 + 3/2 < 5/2 Solve the inequality. Show your work

Answer:x > -2Step-by-step explanation:[tex] -\frac{x}{2} + \frac{3}{2} < \frac{5}{2} [/tex]Subtract /2 from each side [tex] -\frac{x}{2} + \frac{3}{2} - \frac{3}{2} < \frac{5}{2} - \frac{3}{2} [/tex][tex] -\frac{x}{2} < \frac{5 - 3}{2} [/tex][tex] -\frac{x}{2} < \frac{2}{2} [/tex][tex] -\frac{x}{2} < 1 [/tex]Multiply both sides by -2 (multiplying both sides by a negative number will change the sign of inequality from < to >)[tex] -\frac{x}{2} * -2 < 1 * -2 [/tex]x > -2

Mathematics College

-x/2 + 3/2 < 5/2 Solve the inequality. Show your work

Answers

Answer 1

Answer:

x > -2

Step-by-step explanation:

[tex] -\frac{x}{2} + \frac{3}{2} < \frac{5}{2} [/tex]

Subtract ³/2 from each side

[tex] -\frac{x}{2} + \frac{3}{2} - \frac{3}{2} < \frac{5}{2} - \frac{3}{2} [/tex]

[tex] -\frac{x}{2} < \frac{5 - 3}{2} [/tex]

[tex] -\frac{x}{2} < \frac{2}{2} [/tex]

[tex] -\frac{x}{2} < 1 [/tex]

Multiply both sides by -2 (multiplying both sides by a negative number will change the sign of inequality from < to >)

[tex] -\frac{x}{2} * -2 < 1 * -2 [/tex]

x > -2

Related Questions

Analyze the diagram below and complete the instructions that follow.

Find tan 30°

Answers

Answer:

[tex]tan(30) = \frac{A}{B}[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find tan(30)

Let the side opposite 30 degrees be A and the side adjacent 30 degrees be B

So [using tangent identity]:

[tex]tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

This gives:

[tex]tan(30) = \frac{A}{B}[/tex]

Find the value of x

Answers

Answer:

x=8.94427

Step-by-step explanation:

19²+x²=21²

361+x²=441

x²=80

x=√80

x=8.94427

(7.5 + 3.2)

what does it equal??

Answers

Hello!

7.5+3.2=10.5

=10.5

Allison drove from Quincy to Park City in 3 hours along the
path shown. Traveling the same speed, it took her 5 hours
to travel from Park City to Rainey.
Quincy
135 miles
Rainey
? miles
Park City
What is the distance from Park City to Rainey?

Answers

Answer: 135 x 5 = 655 it took 655 miles park city to Rainey

What is the surface area of the solid surface.

Answers

Answer:

340 square inches

Step-by-step explanation:

I dknt really know but I think that's the answer

let u=(5 -12) and c=-3 what is cu

Answers

Answer:21

Step-by-step explanation:

cu u=-(5-12)=-7 c=-3 -7(-3)=21

Answer:

Step-by-step explanation:

Which expression is equivalent to (3a2b−3)−1

Answers

2(3ab-2) or also 6ab-4

Who is kin to you?

Group of answer choices

a stranger

your cousin

The President

your teacher

Answers

Answer:

Your cousin

Step-by-step explanation:

Kin is your family/related family

Please I need help with this math problem!!!

Answers

Answer: y = 1/5x + 6

Step-by-step explanation:

If angle 1 = 80 degrees what is y

Answers

Answer:

Provide a picture, then comment on this. I will answer it.

Step-by-step explanation:

Which of the following is a solution of the system 2x + y = 9 and 3x + 5y = 19.

Answers

2x+y=9

3x+5y=19

I will do this problem in 2 ways. I.)Substitution II.)Elimination

Solution I.) Substitution

We can subtract 2x from both sides in the first equation.

y=9-2x

Now we can substitute the y in the second equation with 9-2x

3x+5(9-2x)=19

-7x+45=19

-7x=-26

x=26/7

y=9-2(26/7)=11/7

Solution II.)Elimination

We can multiply both side of first equation by 5 to get a 5y in both equations.

10x+5y=45

Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.

(10x+5y)-(3x+5y)=45-19

7x=26

x=26/7

2*26/7+y=9

y=11/7

Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.

Answer correctly pls

Answers

the answer a !!!!!!!!!!

Kenya bought 4 boxes of
pencils for $3.99 each. She
also bought 2 boxes of
markers for $4.99 each. If
she paid the cashier with a
$50 bill, how much change
will Kenya get back?

Answers

Answer:

she will be recivining $24.06

Step-by-step explanation:

4x3.99=15.96

2x4.99=9.98

15.96+9.98=25.94

50-25.94=24.06

Of course with out taxes

what is the value of the expression 2c(c+3)^2 if c=2

Answers

100 is the answer jensisndhspsnd

how do you tell if these fractions are equivalent? 2/3 and 8/12.

Answers

Answer:

Multiply 2/3 by 4 to make it have the same denominator.

Step-by-step explanation:

This could work for all fractions, you just need to get them to have the same denominator.

Ps. If you were wondering, they are equivalent.

PLZ ANSWER ASLMOST DUE!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

p = 5

hope it helps

what is an eqivalent ratio to 10:8

Answers

Answer:

5:4

Step-by-step explanation:

divide by 2 on both sides

Answer:

© iCalculator: Read more at: https://math.icalculator.info/ratio-calculators.html a website

Step-by-step explanation:

In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?
A. 52
B. 50
C.90
D. 92

Answers

The answer is B. Hope this helps

The value of x is 50 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (B) is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, OP is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

x + 20 + 110 = 180

x + 130 = 180

x = 50

Thus, the value of x is 50 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (B) is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

What is the area of 19 centimeters?

Answers

The Awnser is 7.48 inches

Let's break this up:

Radius: 19

Diameter: 38

Circumference: 119.4

So...

The area of a circle with radius 19 is 1134

A = πr2 = π(d

)2 A = C2

4π

π = 3.1415

A = area

C = circumference or perimeter

r = radius, d = diameter

SOLUTION STEPS:

Area of a circle in terms of radius:

Area = π·r2 = 3.14·192 = 1134 square cm(*)

Area of a circle in terms of diameter:

Area = π·(d

)2 = 3.14·(38

)2 = 3.14·(19)2 = 1134 square cm(*)

Area of a circle in terms of circumference:

Area = C2

4π

= 119.42

4π

= 14256.36

(4·3.14)

= 14256.36

12.56

= 1134 square cm(*)

(*) 1134.1149479459 cm, exactly or limited to the precision of this calculator (13 decimal places).

Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Result in other units of area:

A circle of radius = 19 or diameter = 38 or circumference = 119.4 cm has an area of:

1.134 × 10-7 square kilometers (km²)

0.1134 square meters (m²)

1134 square centimeters (cm²)

1.134 × 105 square millimeters (mm²)

4.3784 × 10-8 square miles (mi²)

0.135625 square yards (yd²)

1.22063 square feet (ft²)

175.77 square inches (in²)

Somebody please help me!

Answers

Answer:

second option, IQR = 13-6 = 7 and Range = 17-6 = 11

Step-by-step explanation:

6 yards long and 4 yards wide. What is the area in square feet?

Answers

Answer:

6 x 4= 24 is the area in square feet

11cm by 6 cm rectangle

Answers

Answer:

Question unclear.

If the question was about the perimeter of the rectangle, it is calculated as:

= (Length * 2) + (Height * 2)

= (11 * 2) + (6 * 2)

= 22 + 12

= 34 cm

If the question was bout Area, the area is:

= Length * width

= 11 * 6

= 66 cm²

A spinner is divided into 6 equal sections numbered 1 through 6. Predict how many times, out of 184 spins, the spinner landed on an even number.
A. 46
B. 31
C. 61
D. 92

Answers

I think it’s B but don’t take my word for it

Which binomial is a factor of 2n^(2)-32

please hurry

Answers

Answer: 2(n + 4) (n - 4)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula,

a^2 - b^2 = ( a + b ) ( a + b )

What is the chance of drawing a card with a heart on a standard deck if I can draw 2 cards?

Answers

Answer:

The chances of drawing a heart are therefore 1352 (which reduces to 14 . If we draw another card without replacing the first card, what are the chances of drawing a second heart? There are now 12 hearts in the deck out of 51 cards total and so the odds are 1251 (which reduces to 417 ).

Step-by-step explanation:

So we know that in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52.

Help me help me help me pls pls pls

Answers

Answer:

dont know but sorry I want points

I think it’s B but I am not sure dude sorry

1/3x−2= 3 What must the value of this number be?

Answers

Answer: 15

Step-by-step explanation:

1/3x - 2 = 3

1/3x = 5

x = 15

Remy recorded the favorite sport of students at his school. He surveyed 500 students. How many students chose baseball?

this is 100 points please help as fast as you can

Answers

Answer:

Step-by-step explanation:

500×15%=

500×.15= 75

HELP i need this fast

Answers

Answer:

Step-by-step explanation:

The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs 5000 pounds on Planet A, find the elephant's weight on Planet B.

Answers

150. Divide 5000 by 100 and you get 50. Multiply 3 by 50 and you get 150.

Answer:

one way to solve this question is to realize that every 100 pounds on planet A equals only 3 pounds on planet B.

So, 5000 pounds divided by 100 = 50. Then that number times 3 will give the weigh on planet B which is 150 pounds.

Algebraically, 100/3 = 5000/x; when we cross multiply, we get 15000/3 = x; x = 150

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