Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.

Answers

Answer 1

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

Answer 2

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

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Related Questions

Can someone help please

Answers

Answer:

0.3 miles per hour

Step-by-step explanation:

Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3

1.25 is closer to 1.04 or not ?
plz heelp

Answers

Answer:

Yes 1.25 is closer to 1.04

Step-by-step explanation:

Hope this helps!

Answer:

1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.

1.25 rounded:

1.30

1.04 rounded:

1.00

1.25 is closer to 1.04 or not ?
plz heelp

Answers

Nottttttttttttttttttt

Give an example of a function.
example:
Input 9 9 4 5 and output: 3 -3 2 -2

give examples plz
I will make the brainliest. ​

Answers

Jhhdcc C ffvtt he fhhjjmncfhnbcfgbnbvgghmnbjkmn

Is 2.34 a rational number?

Answers

Answer:

Yes.

Step-by-step explanation:

2.34 is a terminating decimal, meaning that it ends. Therefore, it is rational.

Can someone please help me thank you

Answers

36 is the answer, hope this helps.

A store manager is marking down cameras from $300 to $150. What percentage is the discount?

Write your answer using a percent sign (%).

Answers

Answer:

the discount is 50% the previous price

b. During two years of college, a student earned $12,000. The second year she earned $500
more than twice the amount she earned the first year. How much did she earn the first
year?

Answers

Answer:

6000 dollars duhhhhhhhhhhhh

A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?

First brand =
Second Brand=

Answers

Answer:

Step-by-step explanation:

Let x be the portion of 60%

180 - x is the portion of 40%

0.60x + 0.40(180 - x) = 0.55(180)

0.60x + 72 - 0.40x = 99

0.20x = 27

x = 135

180 - 135 = 45

First brand = 45 gallons of 40%

Second Brand = 135 gallons of 60%

Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW

Answers

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

which prime number is found in between 70 and 80 and is made up of two odd digits which add up to 10

Answers

73. This adds to 10 and is prime

Answer:71

71, 73 and 79

Step-by-step explanation:

A prime number is a number that can only be divided by 1 or itself. Otherwise, it is a composite numbers.

There are three numbers between

70

and

80

that fit this criteria,

71

,

73

, and

79

During the year 2011 season a quarterback passed for 302 yd per game he played on my 16 regular season game for that year for how many total yards did the quarterback pass

Answers

Answer:

4,832 yards

Step-by-step explanation:

302x16=

1. Evaluate |-x - 2y| for x = -2 and y = 3

Answers

Answer:

4

Step-by-step explanation:

x = - 2

y = 3

l - x - 2y l

= l - ( - 2 ) - 2 ( 3 ) l

= l 2 - 6 l

= l - 4 l

= 4

Wha
kind of hard math do they have you doing

The fraction 1/16 can correctly be read as
Question 5 options:

one divided by sixteen.

sixteen divided by 1.

one sixth.

one and one sixth.

Answers

The given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.

A fraction can be defined as a numerical quantity that isn't a whole number and as such has two (2) parts.

Hence, a fraction is simply a part of a whole number.

Generally, a fraction comprises two (2) main parts and these include:

Denominator: this refers to the lower part of a fraction.Numerator: this is the upper part of a fraction.

Mathematically, a fraction is represented as:

[tex]Fraction \;A = \frac{1}{16}[/tex]

In order to read a fraction, you will start by naming the numerator (upper part) followed by the denominator (lower part).

In this scenario, the given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.

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The area of Triangle abc is 3cm 4cm 3cm​

Answers

Answer:

Step-by-step explanation:

ASSUMING the given dimensions are the lengths of the legs

we have an equilateral triangle with base 4 and height

h = √(3² - (4/2)²) = √5

A = ½bh = ½(4)(√5) = 2√5 cm²

Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?

Answers

Answer:

0.0423333333 meters

Step-by-step explanation:

When you convert, you will receive the same result.

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.
Step 1 of 2: Suppose a sample of 1221 floppy disks is drawn. Of these disks, 61 were defective. Using the data, estimate the proportion of disks which are defective.
Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answers

Answer:

a

Step-by-step explanation:

a

7x+14y−3y+12x+32y+54x+2x+8y

Answers

Answer:

it would be 75 + 51

hope this helps

136

Step-by-step explanation:

$120; Markup: 35%

What's the final price? pls show how u got the answer...​

Answers

Answer: 162

Step-by-step explanation:

So you will need to find the Markup. The original cost is $120.

Divide the number by 100 is 1.2. $1.2 is 1% of the $120.Now times the number by 35. $1.2 x 35 is $42.Finally, add the number. 120 + 42 = 162.

I hope this is the answer you are looking for.

no link or bot answer the question

Answers

Answer:

480in

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 * 8 = 48

48 / 2 = 24

because it's half a square

What is x in x^2-x-6=0 pls

Answers

Answer:

x = 2 or -3

Step-by-step explanation:

What is x in x^2-x-6=0 pls

x^2 - x - 6 = 0

x + 2 * x - 3 = 0

x + 2 = 0

x - 3 = 0

x = 2 or -3

Answer:

x= -2 or x= 3

Explanation:

the factors of -6 which sum to -1 are -3 and + 2

(x - 3) (x + 2) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = −2

x − 3 = 0 ⇒ x = 3

Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house

Answers

Answer:

8:03

Step-by-step explanation:

time=speedxdistance

t=1/15x3

t=3/15hr

t=.2hr

t=12 mins

plus 15 mins to lock up bike, 27 mins

27 mins before 8:30 is 8:03

pls mark branliest


Please help me ASAP

Answers

Answer:

New points:

N: (4,-5)

X: (2,-3)

B: (-1,-4)

Step-by-step explanation:

Rotate about the origin (0,0) counter clockwise 90 degrees

Given the perimeter P and the side B on the following rectangle are as indicated, find the side.

Answers

Answer:

a=7.6

Step-by-step explanation:

Since the perimeter is the length of the circumference, P=2a+2b=2(a+b)

We know b and P and if we do the math we get the answer

A cheetah can run at its top speed for about 25 seconds. If
the cheetah can run 125 meters in 5 seconds, how far can it
run in 25 seconds? How long will it take it to run 250 meters?
How many meters does it run per second?



No bots plsss

Answers

Answer:

625 meters in 25 seconds

250 meters in 10 seconds

Step-by-step explanation:

125 x 5 = 625

125 x 2 = 250

100.000.000x30

Kaçtır?

Answers

Answer:

the answer is 3000000000

A water sprinkler covers the area shown in the figure.
It moves through the covered area at a rate of about 5 per second.
What is the measure of the are covered by the sprinkler?
If the sprinkler starts at the far left position,
how long will it take for the sprinkler to reach
the far right position?

Answers

A water sprinkler has a rotational motion in order to reach a broad area

from its stationary location.

The time it takes the sprinkler to reach the far right position is 36 seconds.

Reasons:

The given parameter are;

The angular speed of the water sprinkler, ω = 5° per second

Location where the sprinkler starts = The far left position

Required:

The time it takes the sprinkler to reach the far right position.

Solution;

The angle covered by moving from the far left to the far right, θ = 180°

Time required is given as follows;

[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]

Therefore;

[tex]t = \dfrac{\theta}{\omega}[/tex]

Which gives;

[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]

The time it takes the sprinkler to reach the far right position, t = 36 seconds.

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Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.

Answers

The point of concurrency of the three median is the centroid of the triangle ABC.

The sum of the lengths of AK and BK is 10.06

Reasons:

The given parameters are;

The medians of the triangle ABC = Segments BF, CD, and AE

The  length of segment FK = 3.40

Length of segment EK = 1.63

Required:

The sum of the lengths of segment AK and BK

Solution:

The ratios of the lengths of AK to KE = 2:1

Therefore, we have;

[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]

1.63 × 2 = 1 × AK

AK = 3.26

Similarly, we have;

[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]

3.40 × 2 = BK

6.80 = BK

Which gives;

AK + BK = 3.26 + 6.80 = 10.06

The sum of the lengths of AK and BK = 10.06

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How do you figure out division expression with answer of 19.1

Answers

Answer:

its 5823

Step-by-step explanation:

help urself

Which of the following describes how to write the decimal number six hundred twenty-seven thousandths?

Answers

Answer:

0.627

Step-by-step explanation:

I will turn the word form of the number into decimal form backwards to make it easier:

7 is in the thousandths place

2 is in the hundredths place

6 in the tenths place

0 being in the ones place

That being said, the word form of a number can be turned into number, decimal, percent and fraction forms! Any other problems involving forms of numbers, you can come to me :D

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