x=6
is a solution to the inequality x−5≤ 10

True or False?

Answers

Answer 1

Answer:

[tex]\boxed{\sf{FALSE}}[/tex][tex]\boxed{\sf{x\leq 15}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

x-5≤10

First, add by 5 from both sides.

[tex]\sf{x-5+5\leq10+5}[/tex]

Solve.

Add the numbers from left to right.

[tex]\sf{10+5=15}[/tex]

[tex]\Longrightarrow: \boxed{\sf{x\leq 15}}[/tex]

Therefore, the solution is x≤15, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Answer 2
hello!

Let's solve this inequality.

First, we should add 5 to both sides:-

x≤10+5

x≤15

Remember, the "≤" sign means "less than or equal to"

So is x=6 a solution to the inequality x≤15? Will this solution make the inequality true?

Yes.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)


Related Questions

I'm stuck T^T please help me!

Answers

Answer:

a. 52%

b. 56%

Step-by-step explanation:

a. 43+87=130

130/250×100

=52

b. 87+53=140

140/250×100

=56%

Consider this system of equations.
p = 2n
p - 5 = 1.5n
What value of n makes the system of equations true.
Explain how you got your answer.

Answers

Answer: n=10

Step-by-step explanation:

p=2n

p-5=1.5n

- replace 2n in the 2nd equation for p

2n-5=1.5n

2n=1.5n=5

2n-1.5n=5

0.5n=5

n=10

3. Classify each triangle by its angles and its sides

Answers

11. isosceles triangle (two same lengths and angles) 12. equilateral triangle (all same side lengths and angles)
11. Isosceles triangle.
Can be identified when two sides are equal and adjacent base angles are equal.

12. Equilateral triangle.
Can be identified when all sides are equal and all interior angles = 60 degrees.

Please help me out questions on pdf

Answers

Question 1: x=12.5

6x+4x+2x+30=180

(One full line forming a semi circle would equal to 180 degrees all the angles given would therefore equal up to that value)

Add like terms to simplify;

12x+30=180

Use inverse operations to isolate the variable!

180-30=150

150/12=12.5

Check ur work!

6(12.5)+4(12.5)+2(12.5)+30=180

75+50+25+30=180

180=180

Question 2: Angle EAF = 25 degrees

Since x equals 12.5

and the equation given to represent the angle is 2x

2(12.5)=25

Question 3: Angle DAE= 50 degrees

x=12.5

Angle DAE=4x

4(12.5) = 50

Question 4: Angle CAD= 75 degrees

x= 12.5

Angle CAD= 6x

6(12.5) = 75

(if any are incorrect i apologize beforehand)

What happens to a 44-degree angle if you rotate it 90 degrees counterclockwise?

Answers

Answer:

We will have a new angle \theta_{new}=143^{\circ}θ

new

=143

Step-by-step explanation:

If we rotate this angle 90 degrees counterclockwise we just need to add both angles, which means:

\theta_{new}=44^{\circ} + 99^{\circ}=143^{\circ}θ

new

=44

+99

=143

Therefore, we will have a new angle \theta_{new}=143^{\circ}θ

new

=143

I hope it helps you!

True or False: The following equation has 'no solutions'.

Answers

Answer:

true

Step-by-step explanation:

PLS ILL HELP ILL GIVE YOU BRAINLIEST

Answers

15/36 because if you solve everything below 7 that would give you 15 problems and there is 36 outcomes bc 6 x6 is 36

The solution is, the required probability is 15/36 .

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

from the given table, we get,

total number of sample space is 6 x6 = 36.

now, we get, that, the number of getting sum less than 7 is 15

we have,

probability = no. of the event/ no. of total outcome

                  = 15/36

we get this,

because if you solve everything below 7 that would give you 15 problems and there is 36 outcomes bc 6 x6 is 36.

Hence, The solution is, the required probability is 15/36 .

To learn more on probability click:

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What's Ali's average speed on her walk to school if she walks halfway at 2mph and runs the rest of the way at 7mph?

Answers

Answer:

s = 28/9

Step-by-step explanation:

d/(7 x 2) + d/(2 x 2) = d/s

d/14 + d/4 = d/s

18d/56 = d/s

18/56 = 1/s

s = 28/9

The average speed is 28/9.

What is Average speed?

Average speed is the mean value of the speed of a body over a period of time. The formula for average speed is needed since the speed of a moving body is not constant and varies across a period of time. Even with varying speed, the values of total time and the total distance covered can be used, and with the help of the formula for average speed, we can find a single value to represent the entire motion.

Example

Using the average speed formula, find the average speed of Sam, who covers the first 200 kilometers in 4 hours and the next 160 kilometers in another 4 hours.

To find the average speed we need the total distance and the total time.

Total distance covered by Sam = 200Km + 160 km = 360 km

Total time taken by Sam = 4 hour + 4 hour = 8 hour

Average Speed = Total distance covered ÷ Total time taken

Average Speed = 360 ÷ 8 = 45km/hr

The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:

Average Speed Formula:

Average Speed = Total distance covered ÷ Total time taken

Given:

halfway at 2mph and runs the rest of the way at 7mph

d/(7 x 2) + d/(2 x 2) = d/s

d/14 + d/4 = d/s

18d/56 = d/s

18/56 = 1/s

s = 28/9 mph

Learn more about average speed here:

https://brainly.com/question/12322912

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What is 25x²-4. What are the factors.

Answers

Answer:

(5x-2)(5x+2)

Step-by-step explanation:

Rewrite 25x2 25 x 2 as (5x)2 ( 5 x ) 2 .

Rewrite 4 as 22 .

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 - b 2 = ( a + b ) ( a - b ) where a=5x a = 5 x and b=2 .

Answer ASAP! but only if you know 100%, and whoever gets it right can have brainliest
use 3.14 for pi!

Answers

Answer:

Circumference: 153.86

Area: 43.96

Step-by-step explanation:

Circumference: 2(3.14)r

Area: 3.14(r^2)

Lets find the Circumference first :)

2(3.14)7

(6.28)7

43.96

Now lets find the area!

3.14(7^2)

3.14(49)

153.86

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

[tex]beinggreat78~here~to~help.[/tex]

Circumference: 44(round to nearest 10)

Area: 154(round to nearest ten)

To do this problem, let's start with circumference, because we must know that before finding area.

[tex]C=2\pi r=2*\pi *7~rounds~to~43.9823[/tex]

Next, find the area by using the circumference. This time, we will use the exact numbers.

[tex]A=\pi r2\\C=2\pi r[/tex]

Now, solve for area.

[tex]A=\frac{ C^2}{4\pi }=\frac{43.98^2}{4 * \pi } ~rounds~to~153.93806[/tex]

With that information, the problem has been solved.

George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection. Which equation can be used to find y, the total number of coins in George's collection after x months?
A y= 75x + 20
B y = 20x + 75
C y = 75x - 20
D y=20x - 75

Answers

option B

hope it helps...!!!

Answer:

Option B!

Step-by-step explanation:

x = amount of months.

Each month = + 20 coins.

 

*Each month x amount of months = y*

so 20x + 75(Coins dad gave)

Explain what πr² and h represent in terms of the cylinder. Then explain how this information is used to find the formula for the volume of a half sphere, 2/3 • πr²• r. Then explain how you use this formula to get the formula 4/3 πr³ for the volume of a sphere.

Answers

Answer:

The formula that is used to determine the volume of the cylinder in terms of pi is V = πr2h cubic units where, "V", "r" and "h" are the volume, radius, and height of the cylinder. This formula of volume of the cylinder also shows its dependence on the radius and height of the cylinder.

Step-by-step explanation:

(1/3)^2+3^2 i have been stuck on it

Answers

(1/3)^2 would equal (1/9) and 3^2 would equal 9, so (1/9) + 9 would equal 9.1111 (repeating) or 82/9. Hope this helps!
9.11 , or if you want to round than 9

Gina says that she can find the length of the diagonal, c, of the rectangular prism by using the Pythagorean theorem twice.

Drag equations and pictures into the table below to show her work.

Answers

Answer:

[tex]\sqrt{149\\ \\[/tex]

However, that's the length of "c" and you're looking to drag it in. So,o you drag in 10^2+7^2=a^2.

Then, as shown by the first picture attatched, you can drag in the one with "c" and "a" with the five shown.

Step-by-step explanation:

To find "c" the diagonal, as explained, you need to use the theorem twice. You can first use it by finding "a", as you already have "b". To find a, you do 10^2+7^2=a^2, the hypotenuse.

100+49=149.

So, a is root 149.

a^2+b^2=c^2 so

149+25=174

a) The length of a, a² = 10² + 7²

b) The fourth Figure will be Drag in Last column.

What is Pythagoras Theorem?

The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

As From the Figure, a² = 10² + 7²

a² = 100 + 49

a² = 149

a= √149

To find c the diagonal,

a² = 10²+ 7²

a² = 149

a = √149

Now, a²+b²=c²

The fourth Figure will be Drag in Last column.

Learn more about Pythagoras theorem here:

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How many acres are left for home sites. David runs [tex]\frac{1}{2}[/tex] of a [tex]1\frac{1}{2}[/tex] mile relay race. How far does he run?

Answers

1/2 a mile

Explanation:
1/2 I’m sure if it

The Smith family is building a deck that is 200 square feet in area. What are the
possible lengths and widths the deck could have? Which length and width would be the best choice for the deck?

Answers

Answer:

10 ft x 20ft

2 ft x 100ft

40ft x 50ft

1 ft x 200 ft

4ft x 50ft

5ft x 40ft

8ft x 25ft

Step-by-step explanation:

Tomas wrote the beginning of an equation, 4/5x-8=. Complete the equation and match it to its corresponding number of solutions.

Answers

Answer:

I Have shown how to in the image below

Step-by-step explanation:

PLEASE HELPPP
Two runners are training for their next competitions. Each runner is able to run a certain
distance in proportion to the time. The table on the left displays the distance Runner A
can run in relation to the time. Meanwhile, the graph on the right displays the distance
Runner B can run in relation to time.
What are the unit rates for the two runners? Which runner can run faster?

Answers

There is no table how we ca help btw

(Only the top question!) 100 points!

Answers

Answer: 5,733.6

Step-by-step explanation:

337.8 x 17 = 5,742.6

5,742.6 - 9 = 5,733.6

Did I do it right or is it wrong?

Answer:

The answer is  5733.6

Step-by-step explanation:

Help me plssssssssss

Answers

some people are sending links to answers so pls dont open them. it will give you a virus.

Answer the following about estimating 5,392/7.

Answers

Answer:

5600/7

It is an overestimate

The answer is
5,392/7 = 770.29

On June 1st, the value of an investment was $1400. During the month of June, the value decreased by 15%. During the month of July, the value increased by 10%. What was the value of the investment on August 1st?

Answers

Answer:

1330.

Step-by-step explanation:

15% - 10% = 5%

5% of 1400 is 70.

$1400 - $70 = 1330.

The investment had decreased in value.

1330 would be the answer

The equation y=34.99x represents the total amount of money (y) that the Geocove waterpark will collect if they charge $34.99 per adult (x) for admission to their waterpark.
Name the y-intercept of this line and interpret what it means in the context of admission to the waterpark.

Answers

Answer:

The y-intercept is where the line crosses the y-axis on the graph also where x=0. In this situation the y-value is however much money the waterpark will make depending on how many adult tickets sold.

Step-by-step explanation:

please help me with this

Answers

The answer is B!
Have a nice day

what is 3/6 x 1/6 in simplified form

Answers

Answer:

1/12

Step-by-step explanation:

Answer:

1/12 DECIMAL FORM 0.083 REPEATING

Step-by-step explanation:

THAT IS JUST WHAT I GOT

Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60% percent of his collection.
How many toy cars does Samuel have?

Answers

27/60 = 0.45/1%
0.45 x 100 = 45

Samuel has a total of 45 cars, 60% of the total cars are red. Which is 27 red, and 45 total cars.

Answer:

there for the answer is C=45

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

         27 = 60% of C                         C is the total cars in the collection

         27 = .60 C

 27 / .60 = C

         45 = C

The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonflies you must catch to earn a new high score.

Answers

Answer:

34,280 + 1,000 + d = 36,480
Or

36,480 = 34,280 + 1,000 + d


They are both the same thing just backwards some teachers want it facing backwards so I put it both ways.

The first three terms of an arithmetic sequence are as follows.

Answers

Answer:

16,20

Step-by-step explanation:

As shown, you add four by each.

4+4=8

8+4=12

So, 12+4=16

16+4=20

Answer:

16 and 20

Step-by-step explanation:

In the arithmetic squence, we can tell that 4 is being added to each term.

Thus, we obtain the following rule:

4x  [Where "x" is the xth term]

To find the next two terms in the sequence, we need to determine the fourth and fifth term of the sequence. Let us substitute the "4" and "5" in the rule to determe the next two terms in the sequence.

Determining the 4th term of the sequence:

⇒ 4x

⇒ 4(4)

⇒ 16

Determining the 5th term of the sequence:

⇒ 4x

⇒ 4(5)

⇒ 20

Thus, the next two terms are 16 and 20.

4x+32=12x-8 please help me

Answers

Answer:

x=5

Step-by-step explanation:

<=>12x-4x=32+8<=>8x=40<=>x=40/8=5

the answer to this question is 5

Here’s 50 points, question is in the attachment below!

Answers

They want to use the numbers 0-9

Count the number of timers a color shos on the wheel and assign 1 number for each time the color shows:

Blue shows 4 times so you would assign blue the numbers: 0,1,2,and 3

There are 3 yellows so you would assign that 4, 5, and 6

There are 2 reds so , 7 and 8

and 1 green would be 9

Answer is D.

Answer is D there you go, your welcome!
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