For what values of x is the inequality 2/3 + x/3 >1 true?

Answer:BStep-by-step explanation:[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )2 + x > 3 ( subtract 2 from both sides )x > 1

Mathematics High School

For what values of x is the inequality 2/3 + x/3 >1 true?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

Related Questions

A college professor wants to survey a sample of students taking his course. Here are some details about his course:

He teaches 5 sections of the course.

There are 250 total students across those sections.

There are 50 graduate students and 200 undergraduate students taking the course.

Each section has about 50 students (some graduate and some undergraduate).

The professor wants to take a sample of 30 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account. Which of these strategies will accomplish his intended design?

a. Randomly select 6 students from each section for the survey.

b. Randomly select 6 graduate students and 24 undergraduate students for the survey

c. For each section, randomly select one of the first 8 students to arrive to class, and every 8th student thereafter to take the survey.

d. Randomly select one of the sections and give the survey to every student in that section

Answers

Answer: B, Randomly select 6 graduate students and 24 undergrad students for the survey.

Step-by-step explanation: This guarantees that each type is proportionately represented in the survey.

Not A because it risks too many or too few graduate students. It is not C because again, it risks too many or too few graduate students. It is not D because each section has about 50 students and the professor only wants 30 in his sample.

Answer:

Step-by-step explanation:

The marked price of a car is $49,500. A person can pay deposit of 30%
and interest at 12% per annum is charged on the outstanding balance.
The total amount payable is to be paid in 2 1/2 years. A) the amount of
each monthly installment b) The hire purchase of the car

Answers

The amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.

Monthly installement

a. Monthly installment

2 1/2 years=30 months

First step

Amount payable=[49,500×(1-.30)] /30 months

Amount payable=(49,500×.70)/30 months

Amount payable=$34,650/30 months

Amount payable=$1,155

Second step

Amount of monthly installment=[$1,155×(1+0.12)

Amount of monthly installment=$1,155×1.12

Amount of monthly installment=$1,293.6

Amount of monthly installment=$1,294 (Approximately)

b. Hire purchase

Hire purchase=$1,155×.12×30 months

Hire purchase=$4,158

Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.

Learn more about monthly installment here:https://brainly.com/question/2151013

#SPJ1

if there are 34555 apples in a truck then 300 are ate ant 200 go to trash and 999 is in room. how many left. Answer in hurry

Answers

Answer:33,056

Step-by-step explanation:i dont know jut put this answer

What is 2736÷61 step-by-step

Answers

Answer: 44.85 in decimal and 44 Rem 52

Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal

Find the slope of the line passes through the points (2, 5) and (9, 8).
A. 1/7
B.2/7
C. 3/7
D.8/7

Answers

The correct option is 3/7

Step by Step Explanation:

Given:

line passing through points (2,5) and (9,8)

To find:

Slope of the line

Solution:-

Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-

[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]

where,

x₁ = 2

x₂ = 9

y₁ = 5

y₂ = 8

Therefore putting the values , we get

[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]

Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.

ANSWER THIS TO GET 23 POINTS AND BRAINLIEST

Answers

Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.

I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).

The traditional interest formula is I = (P)(R)(N).

P = the original amount of money given

R = interest rate

N = the amount of time

I hope this answers your question (and that I understood the question correctly!).

-Toremi

1. Solve x2+ 3x – 4 = 0
2. Solve 2x2 – 4x – 3 = 0
3. Solve x(x – 2) = 4
4. Solve 9x2+ 12x + 4 = 0
5. Solve x
2+ 2x = 1
WILL GIVE BRAINLIEST

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Matilda and her family took a trip to Yellowstone National Park to see Old Faithful
erupt. Matilda was standing 125ft from the blast. The blast rose 100ft in the air.
What is the angle from Matilda to the top of the blast?

Answers

Using the slope concept, it is found that the angle from Matilda to the top of the blast was of 38.66º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 100 ft, while the horizontal change is of 125 ft, hence:

[tex]\tan{\alpha} = \frac{100}{125}[/tex]

[tex]\alpha = \arctan{\left(\frac{100}{125}\right)}[/tex]

[tex]\alpha = 38.66^\circ[/tex]

The angle from Matilda to the top of the blast was of 38.66º.

More can be learned about the slope concept at https://brainly.com/question/18090623

Find the measure of the red arc or chord in ⊙C. The measure of arc XYZ is a °

Answers

The points on the red arc are points A and B

The measure of the red arc is 75 degrees

How to determine the measure of arc XYZ?

From the complete question, we have:

Angle DCE = 75 degrees

By vertical angles theorem,

Angle ACB = Angle DCE = 75 degrees

So, we have:

Angle ACB = 75 degrees

The measure of the red arc is the same as the measure of the angle ACB.

So, we have:

Red arc = 75 degrees

Hence, the measure of the red arc is 75 degrees

Answers

The expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

What will be the volume of the composite figure?

The volume of the composite figure will be the sum of the volume of the prism and the volume of the pyramid.

The Volume of the prism = Area of the base * height of the prism

Area of the base = 1/2*4.4 *2

Height of the prism =5

So, the Volume of the prism = (1/2)* (4.4)*(2)*(5)

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid = 1/2*4.4 *2

Height of the pyramid =3.9

So, the volume of the pyramid = (1/3)* (1/2)*(4.4)*(2)*(3.9)

So, total volume = (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

Hence, the expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

To get more about prism visit:

brainly.com/question/23963432

Answer:

D

It's D for those who want a fast answer!!

Step-by-step explanation:

What is the exact decimal equivalent of 7 half’s 12

Answers

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

What is a decimal number?

A decimal number is a number represented by an integer and a fractional part

How to determine the decimal equivalant?

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5

Answers

Answer:

50%.

Step-by-step explanation:

please mark me the brainiest

what are the domain and range?

Answers

Answer:

sooo i think it would be

-infinity > x > infinity

edit:

it will also be

-infinity > y > 64

i think since y ends at 64 (hightest height above the ground)

Step-by-step explanation:

umm because the graph goes forever? not really sure though since in my college the topics are a little different and they may not teach in yours

NO LINKS PLEASE!

Using circle theorem 2, which states that the angle oppositeto the center in a semicircleis a right angle and the fact that the sum of the interior angles of a triangle is equal to 180°, calculate the value of x

Note: Angle B = x + 15, Angle C = x + 5

Answers

Answer:

the value of x can be found as 10

Step-by-step explanation:

The depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3.25 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8.75 meters. which of the following equations models d, the depth of the water in meters, as a function of time, t, in hours? let t = 0 be 12:00 a.m. d = negative 3.75 cosine (startfraction 4 pi over 31 endfraction t) 5 d = negative 3.75 cosine (startfraction 4 pi over 29 endfraction t) 5 d = negative 2.75 cosine (startfraction 4 pi over 31 endfraction t) 6 d = negative 2.75 cosine (startfraction 4 pi over 29 endfraction t) 6

Answers

In this exercise we have to calculate the value of the water depth, so we have: d=5.5Cos(12t)+6

What are periodic waves?

A periodic wave is a wave with a repeating continuous pattern that determines its wavelength and frequency

Putting together some information given in the statement we have:

The minimum depth of 3.25 m occurs at 12:00 am and at 3:30 pm.Therefore the period t=0 will be 12:00 am.The maximum depth of 8.75 m occurs at 7:45 am and at 11:15 pm.

Knowing that the formula will be given by an equation similar to:

[tex]d=acos(bt)+k[/tex]

Where:

d = depth, mt = time, hoursa= amplitude

The amplitude difference is given by:

[tex]8.75-3.25=5.5\ m[/tex]

The mean depth is:

[tex]k=\dfrac{(3.25+8.75)}{2}=6\ m[/tex]

Then writing the equation with;

[tex]d=acos(bt)+k\\\\d=5.5cos(12t)+6[/tex]

Hence the value of water depth will be d=5.5Cos(12t)+6

To know more about Periodic wave follow

https://brainly.com/question/11736139

Why is the interest rate one of the biggest factors when calculating the financial charges on credit cards?

Answers

the interest rate adds a percentage of money not already spent to pay towards the credit cards if not paid in full each month.

Answer:

Interest rate is one of the biggest factors in calculating finance charges because the interest rate adds a percentage of money not already spent to pay towards the credit cards if not paid in full each month.

Please help with my grade 11 math! Ill give the brainliest!

Answers

Answer:

9.6^2=100^2+100^2-2(100)(100)

theta=cos^-1((9.6^2-100^2-100^2)/(-2(100)(100))

theta=5.5

Step-by-step explanation:

A bookstore sold the same number of books each day for 17 straight days. The store sold a total of 5,066 books. How many books did the bookstore sell each day? A) 288 books B) 298 books C) 5,049 books D) 5,083 books

Answers

Answer:

B) 298

Step-by-step explanation:

5,066 ÷ 17 = 298 books

Your answer is B). Hope this helps :)

Square A′B′C′D′ is a dilation of square ABCD.

What is the scale factor?

Enter your answer in the box.

Note: Images may not be drawn to scale

Answers

The scale is just division of the sides.
6/2 = 3/1

So 3:1
Meaning the left one is 3 times the size of right one.
OR
2/6 = 1/3
So 1:3
Meaning right one is 1/3 the size of left one

A square has a side length of 22 meters.
What is the area of this square

Answers

Answer:

484 meters squared

Step-by-step explanation:

Area is Length times Width.

You're dealing with a square meaning all sides are equal.

You simply need to do 22m x 22m = 484m squared

The area is 484 because Area= L*W(length times width.

Round 3, 295.351 to the nearest tenth.
3, 295.35
3, 295.3
3, 300
0 3,295.4

Answers

Answer:

3,295.4

Step-by-step explanation:

to the nearest tenth is 3,295.4

2x + 5y = 20
6x - 5y = 12

Answers

Answer:

is this a question?

Step-by-step explanation:

If you’re asking to solve a system of equations, then x=4 and y= 12/5 or 2.4

First Solve 2x+5y=20 for x

Add -5y to each side
2x=5y-20

Divide both sides by 2
x= -5/2y +10

Next substitute -5/2y +10 for y in the equation 6x-5y=12

6(-5/2y+10) -5y=12
-20y+ 60= 12

Then simplify again by adding -60 to each side
-20y= -48

Then divide by -20 on each side

Y= 12/5 (or 2.4)

Now to find x substitute 12/5 for y in x= -5/2y+10

X= -5/2(12/5) +10

X= 4

So X=4 and Y= 12/5 or 2.4

Hope that helped

What is the probability of picking a 5 and then picking a 2

Answers

Answer:

I cannot answer this question because it is not complete. Please use complete sentences and questions.

Solve sec (y + pi/2) = - 2 for 0 < y < pi radians.
Help needed!! anyone?

Answers

[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]

If two angles are complementary and one of the angles measures 27°, what does the other angle measure?

73°
153°
63°
27°

Answers

Okay, so, two angles are called complementary when their measures add to 90 degrees. So I think you would have to subtract 90 from 27 and you get your other angle. So, your answer would be 63 degrees.

the histogram shows the number of minutes that users waited to register for classes on a university's online system. how many users are represented on the histogram

Answers

5 red, 4 yellow, 9 blue, 2 pink, 4 purple

5 + 4 + 9 + 2 + 4 = 24 people

Calculate persons of each color

Red=5Yellow=4Blue=9Pink=2Purple=4

Total:&

5+4+9+2+4=24

Date:

Bell:

Unit 11: Volume & Surface Area

Homework 8: Volume of Pyramids &

** This is a 2-page document. **

Directions: Find the volume of each figure, Round to the nearest hundredth when necessi

1.

2. 3 km

22 cm

14 cm

8 km

14 cm

1/3 (314)

75. 3

3.

4.

-8 ft

5. 7 yd -

3,74

12 ft

23 ya

9 yd

Answers

The volume of any shape is the amount of space in it.

The volume of the cylinder is 1570 square units

How to determine the volume?

The question is incomplete. Assume the following parameters

Shape = Cylinder

Radius, r = 10

Height, h = 5.

The volume of a cylinder is:

V = πr^2h

So, we have:

V = 3.14 * 10^2 * 5

Evaluate the product

V = 1570

Using the assumed values, the volume of the cylinder is 1570 square units

Answers

Answer:

1900

Step-by-step explanation:

i took the est

A population of 12,000 fish has a growth rate of 4% each year. Write a model for the situation About how many years will it take for the population to
reach 20,000?
O A 12,000(1.047" = 20,000; 1.6 years
B. 12,000(1.04)" = 20,000: 13.02 years
C. 12,000 0.00 – 20.000; 12.77 years
D. 12,000.00 = 20,000: 5 29 years

Answers

Answer:

Step-by-step explanation:

Trial and error into (ABOUT/APPROXIMATELY)

y=12000(1.04)^x

A bodybuilder gains 1.5 pounds each week for 5 weeks. Which equation represents the change in the bodybuilder's weight after the 5 weeks?

Answers

Answer:

Step-by-step explanation:

The bodybuilder gains 1.5 each week for 5 weeks.

If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?

1.5 * 5 = 7.5

Other Questions

Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound? You have $300. Your sister has at most $50 less than you. Write an inequality that matches the situation. Give an amount of money your sister could have. john has 15 apples. john eats 6 apples.how many apples does john have left. What is the slope of a line perpendicular to the line whose equation is6x + 15y = 225. Fully simplify your answer. Petra (1) There are many examples of grand architecture in the world. (2) Some of the most impressive are buildings of the ancient city called Petra in Jordan. (3) Petra is the Greek word for "rock." (4) The early inhabitants of Petrathe Nabataeansdid not use wood or brick to make the structures, but instead, they carved them right out of the desert sandstone cliffs. (5) Two thousand years ago, Petra was an important center of activity where caravans of travelers would pass through on their way to trade goods in other regions. (6) Their power and riches can still be seen today in the remains of their city. (7) Although Petra was built in a rugged, dry desert, the Nabataeans made wise plans for collecting and storing water. (8) This water system was made of cisterns, or reservoirs, that held water and channels that directed water from one place to another. (9) After thriving for about 1,000 years, Petra began to decline. (10) The trade routes that had once gone through the city were changed to go toward the sea. (11) In addition, an earthquake devastated the area. (12) The ruins of the city were rediscovered in the 1800s by a European traveler who disguised himself as a local Bedouin, or local Middle Eastern person, to find the remote location. (13) Today, modern travelers can visit Petra and see its majesty in person; tours are available by foot, donkey, or camel. (14) Much of Petra remains to be seen; archaeologists have uncovered only 15 percent of it. (15) The rest of this city is still "lost" or underground.Where would the following sentence best fit in the passage?Centuries after its decline, no one knew it had existed. A. after sentence 4 B. after sentence 2 C. after sentence 13 D. after sentence 11 1/6 of a wall painted in 3/10 of an hour, how much did he paint in 1 hour Which location experienced a historic landslide?Gulf of MexicoBig ThompsonMount Saint HelensSt. Louis, Missouri After World War I, U.S. industries focused on:A. Selling goods to American consumers.O B. Promoting regional differences.C. Improving trade with Europe.D. Decreasing consumerism. This is my last question WILL GIVE BRAINLIEST & 50 POINTS(Please no links)How did forensic scientists determine that the diaries of Adolf Hitler were forgeries? can heat energy be converted into chemical energy Place in order the steps that lead to a habit being formed. How would I word this sentence? solve for x [tex] \binom{1}{2} ^{3x + 1} = 32[/tex]how do i solve for x what plus 23 equals 180 (LCM) of 28, 42 and 63 Please I need help and an explanation :0 100 PTS HELP PLS To the nearest 50 square feet, what is the area of the actual store?Question 1 options:2,350 square feet2,450 square feet2,500 square feet2,400 square feet why is it important for scientist to be objective when using the design process like the scientific method when doing their investigations why is water a clear liquid? At Central High School, there are 48 football players and 20 cheerleaders. What is the ratio of cheerleaders to football players?