When each operation described below is performed to both sides of an inequality, is the inequality sign preserved or reversed? Operations: preserved: or reversed: Add 3 Subtract -3 Multiply by 3 Divide by -3

Answers

Answer 1

Answer:

Add 3 -> Preserve

Subtract -3 -> Preserve

Multiply by 3 -> Preserve

Divide by -3 -> Reverse

Step-by-step explanation:

Required

When is an inequality reversed or preserved

There are only two operations that can reverse an inequality, and they are:

Multiplying the inequality by a negative numberDividing the inequality by a negative number

Other operations will preserve the inequality.

So, the solution is as follows:

Add 3 -> Preserve

Subtract -3 -> Preserve

Multiply by 3 -> Preserve

Divide by -3 -> Reverse


Related Questions

30% of what number is 7.5??

Answers

Answer:

x = 25

Step-by-step explanation:

the question can be given as x * .3 = 7.5, or rearanged into

7.5/0.3 = x

75/3 = x if you multiple the fraction by 10/10

x = 25 in this case

a
2.1 cm
2.9 cm
Find the value of a.

Answers

Step-by-step explanation:

[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]

Pls help me I need this done . Look at picture . What is the measure of..

Answers

The anwer is 62 degrees

Step-by-step explanation:

angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent

I’ll really appreciate it if you help me out with this one .

Answers

Answer:

Linear Function

Step-by-step explanation:

Every time x goes down by 2 y drops by 4. This represents a pattern and has a definitive slope. (It has a constant rate of change.)

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

The perimeter of triangle ABC is 36 cm. Its sides are proportional to the numbers 3, 4 and 5. Find the sides of the triangle.

Answers

Answer:

3x+4x+5x=36

12x=36

x=36/12

x=3

3x=3 into 3=9

4x=4 into 3=12

5x=5 into 3=15

1
Identify the shape and find the area. (Round your answer to the tenths place if needed)
10
Shape
Perimeter = 17
Apothem = 4.2
Area =
NEXT

Answers

Answer:

Pentagon and I think the area is 19.89 so if you round it, that will be 19.9

will give brainliest! question in pic! help asapp!

Answers

Answer: D

Step-by-step explanation:

Answer:

[tex]6x^{2}+10x-12[/tex]

Step-by-step explanation:

Please Help! Evaluate this expression 10.82-9.99

A. 0.53

B. 0.83

C. 1.01

D. 1.23

Answers

0.53 hope that helps!!

May someone please help me with this :)

Answers

14 + 3 = 17 yd that is your answer I used Pythagorean theorem

Answer:

14.3 yd

Step-by-step explanation:

apply the pythagorean Theorem formula:

= sqrt(14^2 +3^2)

= sqrt(205)

roughly 14.3 yd

Ahab wants to buy a garden statue that is 10% off. The original price
is $24.02.
What is amount of discount (nearest hundredth)?

Answer quick pls :,)

Answers

Answer:

$21.62

Step-by-step explanation:

Answer:

14.02

Step-by-step explanation:

first subtract 10 from 24 u got the answer easy

Micki bought 4 gallons of apple cider. How many quarts did she buy?

Answers

Answer:

16

Step-by-step explanation:

There are four quarts in a gallon. 4x4=16.

Answer:

4 quarts per gallon

4 quarts times 4 gallons= 16 quarts

The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an arc of 270°, what is the area covered by the beam?

Answers

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

What does S in Math means?

Answers

Step-by-step explanation:

subtract

i think this

One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?

Answers

Answer:

L = 7.14

Step-by-step explanation:

using the Pythagorean theorem:

L² = 10² - 7²

L² = 100 - 49= 51

L = 7.14

Answer:

7.14

Step-by-step explanation:

to answer this you need to use pythagoras theorem and that is A²+B²=c²

in this case C²-A²=B²

10²=100

7²=49

100-49=51

then you need to square root 51 which gives your answer 7.14

Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.

Answers

Answer:

Number of hours= 20 hours

Step-by-step explanation:

Giving the following information:

Net savings (babysitting)= 250 - 110= $140

Rate per hour= $7

To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:

Number of hours= net savings / rate per hour

Number of hours= 140 / 7

Number of hours= 20 hours

find the area of the composite figure 12 yd height 10 yd base​

Answers

Answer:

120 yd^2

Step-by-step explanation:

1. 12x10= 120

2. 120 yd ^2

Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be​

Answers

Answer:

[tex]\Huge\boxed{11.9}[/tex]

Step-by-step explanation:

Hello There!

Basic Concepts

Geometry

Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)

Here are the trigonometric ratios

Sine - Opposite over Hypotenuse

Cosine - Adjacent over Hypotenuse

Tangent - Opposite over Adjacent

For the angle that has a measure of 50 degrees

we are given its adjacent side length and we need to find its opposite

When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent

Knowing which trigonometric ratio we are going to use we have to create an equation

Remember tan = opposite over adjacent

So we plug in the given information and solve for the missing information ( In this case the opposite side length)

[tex]tan(50)=\frac{x}{10}[/tex]

Basic Algebra

Now we solve for x

Like always we want to isolate the variable

First we want to get rid of the 10

x is being divided by 10 and the inverse of division is multiplication

So we multiply each side by 10

[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]

now we have

[tex]10tan50=x\\[/tex]

finally we plug in 10tan50 into a calculator to get the value of x

we get that x = 11.91753594

Our last step is to round to the nearest tenth

We can conclude that the answer is 11.9

The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.

What is tangent of an angle?

Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.

Let, the bridge is x ft. long.

Therefore, tan 50° = [tex]\frac{x}{10}[/tex].

⇒ x = 10 × tan 50°

⇒ x = 10 × 1.192

⇒ x = 11.92

Therefore, the bridge is 11.92 ft. long.

Learn more about tangent of angle here: https://brainly.com/question/14346186

#Tag #SPJ2

Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain

Answers

Answer:

Yes

Step-by-step explanation:

Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]

This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.

Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.

Please help me ASAAAPPPP I need help rn !

Answers

Answer:

1099 in.²

Step-by-step explanation:

2πr²+2πrh

2×3.14×5×5+2×3.14×5×30

157+942

1099 in.²

Answer:

1099 in. ²

Step-by-step explanation:

because of how its measured

-18x+2x-15x+23x-12x-4x
Combine like terms

Answers

Combine like terms =75x

Answer:

-24x

Step-by-step explanation:

Combining them all leads you to get -24x.

100 points! Please help! If the total perimeter of the triangle is 5x 3+ 4x 2− x – 3, what is the length of the third side of the triangle? (This will require subtraction) Please show steps

Answers

Answer:

What is the length of the third side of the triangle? The Answer Is -9

Step-by-step explanation:

Always use your calculator and type in your equation " 5 x 3 + 4x 2− x – 3" i think this helped but i have no idea good luck though

help with my khan academy assignment please

Answers

Full bubble at 0, then make it go right.
I’ve attached how you would draw this...
hope it helps!

In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now

Answers

Answer:

Total students = 460+320+165=945

Key stage 3 ... asafraction = 460 divide by 945

the number in a sample of 100 = 460 divide by 945 x 100= 48.67

So 48 or 49 (are both, acceptable answers).

A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?​

Answers

Answer:

12

Step-by-step explanation:

5+4+3 = 12

Answer:

12 is the total outcome.......

Step-by-step explanation:

3+4+5=12 is the ans.....

hope this will help u.....

Could 85, 13 and 84 be the side length of a right triangle?

Answers

Answer:

No because the side lengths won't equal the hypotenuse

Step-by-step explanation:

85^2 + 13^2 ≠ 84^2

Brainliest for the correct answers

Answers

Answer:

a) 3a + 8b = 93

Hope this helps!

Help please! I know this is easy but I don’t know what to do!

Answers

Answer:

b

Step-by-step explanation:

If the ratio of radii of two spheres is 4:7, find the ratio of their volumes. ​

Answers

Answer:

volume is equal to ratio

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Graph the equation y = 4x − 5 using slope and y−intercept.


on a graph

Answers

ANSWER:
The picture below is an image of what the graph should look like. Hope this helps!
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