Mathematics Middle School

Simplify
7/3+3(2/3−1/3)^2

Answers

Answer 1
pemdas
so simplify inside parenthasees first

the innermost is 2/3-1/3 which is 1/3

we get
7/3+3(1/3)^2
next, exponent, comes before multiply
(1/3)^2=(1^2)/(3^2)=1/9

we get
7/3+3(1/9)
multiply
7/3+1/3
add
8/3
Answer 2

The required answer of the given expression is 8/3.

What is simplification?

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

The given expression is,

7/3 + 3(2/3 − 1/3)²

Solving the bracket,

= 7/3 + 3{(2− 1)/3}²

solving the fraction,

= 7/3 + 3(1/3)²

solving the square,

= 7/3 + 3(1/9)

= 7/3 + 1/3

adding them we get,

= 8/3

which is the required answer of the given expression.

Thus, the required answer of the given expression is 8/3.

To learn more about simplification, here:

https://brainly.com/question/17579585

#SPJ2

Related Questions

How many times does 3/4 go into 8 1/2

Answers

ia that an 81 ??. if it is its 40/1 3/4

Would the answer be 31 or 16?

Answers

32/2= 16 games the first round

then you have 16 teams left

16/2 = 8 games the second round

8/2 =4 teams left

4/2 =2 games the 3rd round

 then you have 2 teams left, so 1 game in the fourth round

 so 16 +8 +4 +2 +1 = 31 games

you have $12 to buy five goldfish for your new fish tank. Write and solve an inequality that represents the prices you can pay per fish.

Answers

2.4 dollars Hfhfbfnd do djdnd dnd dnd rn d

Answer:

The required inequity is: [tex]5x\leq 12[/tex]

The price of a gold fish should be less than or equal to $2.4 so that you can by 5 fish.

Step-by-step explanation:

Consider the provided information.

You have $12 to buy five goldfish for your new fish tank.

Let the cost of a goldfish is $x.

For 5 gold fish you needs to pay $5x.

Thus, the required inequity is:

[tex]5x\leq 12[/tex]

We use less than equal to sign as you can pay $12 but not more than it.

Now simplify the above inequity as shown:

Divide both the sides by 5

[tex]\frac{5x}{5}\leq \frac{12}{5}[/tex]

[tex]x\leq 2.4[/tex]

Thus, the price of a gold fish should be less than or equal to $2.4 so that you can by 5 fish.

The sum of two consecutive odd integers is 32. Find the integers

Answers

consecutive odd integers is 15 and 17

They have to be both odd

15 + 17 = 32

hope this helps
Hello There!

Call the first number n:
n + n + 2 = 32
Simplify:
2n + 2 = 32
Subtract 2 from both sides:
2n + 2 - 2 = 32 - 2
Simplify:
2n = 30
Divide both sides by 2:
2n/2 = 30/2
Simplify:
n = 15
The numbers are 15 and 17.

Hope This Helps You!
Good Luck :)

carol has 8 hours to spend on a mountain hike. she can walk up the trail at an average of 2 mph and can walk down at an average of 3 mph. how long should she plan to hike uphill before turning around

Answers

4.5 miles up the hill

What is the answer to 128.7 divided by 13 plz help

Answers

the answer is 9.9 .....
9.9 is the answer hope it helped 

the sum of twice a number and 13 is 75

Answers

Greetings!

"The sum of twice a number and 13 is 75."...

Let's translate this into an equation:
[tex]2x+13=75[/tex]
Solve for x:
Add -13 to both sides.
[tex](2x+13)+(-13)=(75)+(-13)[/tex]
Simplify.
[tex]2x=62[/tex]
Divide both sides by 2.
[tex](2x)/2=(62)/2[/tex]
Simplify.
[tex]x=31[/tex]

The variable is equal to 31.

Hope this helps.
-Benjamin

Item 2 Solve the equation. 6.7x=5.2x+12.3

Answers

To solve for x, subtract 5.2x on both sides to get 1.5x=12.3. divide 1.5 on both sides to get x = [tex] \frac{123}{15}[/tex] or x = [tex] \frac{41}{5}[/tex] = 8.2

What is the domain of the function g(x)=5^2x?
A-x>0
B-x<0
C- all real numbers
D- all positive real numbers

Answers

The domain of a function is a set of values that will map the function to a set of range. 

for function [tex]g(x)=5^{2x}[/tex] the domain can be any numbers, for example:

[tex]g(0)=5^{2*0}=5^0=1[/tex]
[tex]g(3)=5^{2*3}=5^6=15625[/tex]
[tex]g(-4)=5^{2*-4}=5^{(-8)}= \frac{1}{390625} [/tex]

Answer: C - all real numbers

How is dividing fractions related to multiplying

Answers

When you divide fractions, the second step is to multiply.

Hope this helps!
When dividing fractions you go through a process I call keep, change, flip. You keep the first fraction, change the division sign to a multiplication sign to a division sign and then flip the second fraction. Now, you are multiplying the first fraction by the reciprocal of your original second fraction.

When do you need to compare real-world numbers?

Answers

Real world numbers are most likely to be compared in the settings wherein their functions are more effective and accurate than when they are not. Aspects such as accounting reasons and others are crucial in determining the most accurate results when it comes to these numbers.

what is the square root of 4 multiplied by 16

Answers

the square root of 4*8=64 is 8
2 x 2 = 4 x 16 = 64
or
 2
√4 = 2 x 16 = 32 

a college student borrows 2000$ for 3 months to pay for a semester of school. If the interest rate is $41.25, find the monthly payment. HELP PLEASE!

Answers

answer is $652.91, just set it up as and equation.

The monthly payment is $680.42

Interest rate and amount

Given the following parameters

Principal = $2000Interest rate = $41.25Time = 3 months

Get the amount

Amount = 2000 + 41.25

Amount = $2041.25

The amount paid monthly  = $2041.25/3

The amount paid monthly = $680.42

Hence the monthly payment is $680.42

Learn more on interest here: https://brainly.com/question/25545513

Solve for x. −2(x+1/3)+9x=4 ​

PLZ HELP!!!!
20 POINTS!!!

Answers

-2x-2/3+9x=4
7x14/3
2/3
2/3 is the answer

distribute the -2 

you end up with -2x -2/3 + 9x = 4

combine the x's

7x - 2/3 = 4

7x = 4 2/3

x = 2/3

Express 8 inches as a fraction of 3 feet in lowest terms

Answers

3 ft* 12 inches in a ft= 36 inches total

8/36= 2/9

Final answer: 2/9

3 feet = 36 inches

 so the fraction is 8/36

36/4 = 9

8/4=2

 so 8/36 reduces to 2/9

Describe all the numbers that when rounded to the nearest thousand are 645,000. Please help due tomorrow giving 10 points

Answers

to round to the thousands, see the hundreds place

if the hundreds place is 4 or below, round down, leave the thousands place
if the hundreds place is 5 or above, round up, add 1 to the thousands place

so all the numbers tha tround to 645000 when rounded to the nearest thousadnd are the numbers from 644500 to 645499

a grandmother says her grandson is two years older than her granddaughter and that together they are at least 12 years old how old are her grandson and granddaughter

Answers

 x = the granddaughter's age x + 2 = the grandson's age   x + x + 2 ≥ 12        Collect like terms.            2x ≥ 12            Divide both sides by 2.              x ≥ 6 years       x + 2 ≥ 8 years
Grandson=granddaughter + 2
Grandson +gradaughter = 12

Make grandson x and granddaughter y

X=y + 2
X + y = 12

(Y + 2) + y = 12

2y + 2= 12
2y = 10
Y = 5
Granddaughter is 5
Grandson is 7

What Is 16/6 As a Mixed Number/

Answers

2 4/6 is the mixed number
16/6 = 2 4/6

16 = 6 + 6 + 4

hope this helps

30tens-3tens3tenths=

Answers

30 tens - 3 tens = 27 tens

27 tens -  3 tenths = 26 tens and 7 tenths

hope this helps

A statement and portions of the flowchart proof of the statement are shown.

Which reason should appear in the box labeled 1?

Ruler Postulate

Angle Addition Postulate

Linear Pair Postulate

Angle Congruence Postulate


Answers

m<BAD = m<BAC + m<CAD
m<BAD = 20 + 15
m<BAD = 35

Angle Addition Postulate

answer
Angle Addition Postulate

Answer :- Angle addition postulate is the reason which should appear in the box labeled 1.


Explanation:-

Angle addition postulate states that for a given angle ∠AOC if P is interior of ∠AOC then ∠AOC=∠AOP+∠POC.

In the given figure it can be seen that

C is interior of ∠BAD then by angle addition postulate

∠BAC+∠CAD=∠BAD which in box 1.

Thus the second option is correct . "Angle Addition Postulate"  is the reason which should appear in the box labeled 1.


If the market price for a chair is $24 and the marginal cost for the chair is $7, the marginal revenue from the chair would be _____. $24 $17 $31 $7

Answers

The think that the  anwser is $24

If the sales tax in Maple Town is 9.5%, how much would an ice cream of $4.25 cost with the tax added? Please explain.

Answers

To find the sales tax, you need to find 9.5% of 4.25

4.25*.095 = .40375

Now we need to add the sales tax to the price.

4.25 + .40375 = 4.65375
Because dollars one have 2 decimal points we should round this to 4.65

Hope this helped!
I agree with the first answer

I HAVE 1 HUNDREDS, 9 TENS, 9 ONES, 8 TENTHS AND 1 HUNDRETHS.WHAT NUMBER AM I?

Answers

199.81 is the answer

Which expression has a value of 51?

50+(10÷5+5)

(50+10)÷(5+5)

50+10÷(5+5)

(50+10)÷5+5

Answers

Choice A is incorrect
50+(10÷5+5)
50+ (2+5)
50+7
57
__________

Choice B is incorrect.
(50 + 10) ÷ (5 + 5)
60 ÷ 10
6
__________

Choice C is correct.
50 + 10 ÷ (5 + 5)
50 + (10 ÷ 10)
50 + 1
51
__________

Choice D is incorrect. 
(50 + 10) ÷ 5 + 5
(60 ÷ 5) + 5
30 + 5
35

the answer is c 50+10 / 5.5

Find the absolute value of -18

18
-18
1/18
-1/18

Find the opposite of -25

25
-25
1/25
-1/25

Answers

absolute value of -18  is 18.

The opposite of -25 is the number which when added to it will give 0.  So its 25

subtract the fractions and write your answer in lowest terms

3 5/6 - 3/4

A. 2 1/6
B. 3 1/12
C. 3 2/5
D. 3 1/2

Answers

[tex]3 \frac{5}{6}[tex]3 \frac{20}{24} - \frac{18}{24} = 3 \frac{2}{24} = 3 \frac{1}{12} [/tex] (4) = 3\frac{20}{24} [/tex][tex]3 \frac{5}{6} - \frac{3}{4} [/tex]
[tex] \frac{3}{4} (6) = \frac{18}{24} [/tex]

HOW CAN YOU SAY 100,203 IN WORD FORM!!!!!

Answers

One hundred thousand two hundred and three
One hundred thousand two hundred and three

Jim had 3,067.48 in his checking account.He wrote a check to pay for two airplane tickets. His account now has 1,845.24. How much did each ticket cost

Answers

Each ticket is 244.648 because you subtract the money you had in the account from how much you had left. Then you multiply 1,223.24 by 2 because it says that Jim bought 2 tickets and that should get you 244.648.

Answer:

Cost of one ticket=611.12

Step-by-step explanation:

In this question we have given

Amount in account= 3067.48

After purchesing 2 airplane tickets, amount in Jim's account=1845.24

Therefore,

Cost of two tickets=[tex]3067.48-1845.24[/tex]

Cost of two tickets=1222.24

Therefore,

Cost of one ticket=[tex]\frac{1222.24}{2}[/tex]

Cost of one ticket=611.12

By how much peter is overweight he is 105 kg his aim is to lose 500 g per week if he manages this how many weeks will it be until he is 90 kg

Answers

Hello There!

105 - 90 = 15kg
500g = 1/2 kg
Peter is 15kg overweight.
15 x 2 = 30
It will take him 30 weeks for this.

Hope This Helps You!
Good Luck :)
First I would turn 500g into kg and then set up an equation like the following.

So lets convert 500g to kg. We do this by using a conversion factor.
 [tex]1g = 0.001kg = 1g:0.001kg = \frac{0.001kg}{1g}[/tex]


Now that we know this conversion factor lets set it up.

[tex]500g \times \frac{0.001kg}{1g} = 0.5kg = \frac{1}{2}kg [/tex]

Ok now we know Peter wants to lose 0.5 kg or [tex]\frac{1}{2}kg[/tex] a week.



Peter wants to lose 1/2 kg a week so we use x for weeks

Lost of weight per week 
[tex] \frac{1}{2}x [/tex]

Next, it tells us that Peter wants to be 90 kg. So he needs to lose 15kg. 
105 - 90 = 15kg

Now we need to find out how many weeks will it be untill he is 15kg. So, Lost of weight per week = 15kg

[tex] \frac{1}{2}x = 15 [/tex]
Now solve for x in [tex] \frac{1}{2}x = 15 [/tex]

[tex] \frac{1}{2}x = 15 [/tex]
[tex] 2 \times \frac{1}{2}x = 15 \times 2[/tex]
[tex] x = 30 [/tex]
So it will take 30 weeks at 1/2kg a week to lose 15kg


the population of middleton is six thousand fifty four people write this number in standard form

Answers

Answer:

The answer to that question is 6,054

Other Questions
What factor helps make work meaningful to a team of business professionals? What happened to the Souths economy during the Civil War?It improved.It deteriorated.It declined and then grew.It remained stable. How many times can 167 go into 1135. _______have a greater impact on our society than all violent crimes combined.a) train crashesb) plane crashesc) motor vehicle crashes In a certain country, private enterprises provide various goods and services. But the government provides free public transportation and electricity to its citizens. What type of economy exists in this country? Beginning with the efforts of John Rolfe, colonists in Jamestown began producing and selling what product to England for a profit? What is the length of hn ? segment a n with point h between a and n. congruency markings on segment a h and segment h n. segment a n is labeled as being 38 units long enter your answer in the box? What is active leisure Which of the following is not true regarding sets of numbers?A-All rational numbers are integers.B-All whole numbers are rational numbers.C-All irrational numbers are real numbers.D-All integers are rational numbers. Multiply.Write each product in simplest form1. 1/2 x 5/82. 3/5 x 5/93. 3/8 x 2/54. 2 3/8 x 165. 1 4/5 x 5/126. 1 2/10 x 5 Do you think the corporate culture at whole foods is somewhat resistant to change or accepting of change? why? how can you determine if a factor will increase or decrease when multiplied by a fraction? In the _____ view of psychology, an individuals mental processes are in control of behavior through memories, perceptions, images, and thinking. X(2x)= 45yYou get 77 points in you can help me with this! Water has a density of 1.0 g/cm3. Glycerin, a liquid used in some soaps, has a density of 1.26 g/cm3. If an object sinks in water but floats at a constant depth in glycerin, its density is _____.1.) exactly 1.26 g/cm32.) greater than 1.26 cm33.) between 1.0 g/cm3 and 1.26 cm34.) less than 1.0 g/cm3 Daniel is an outgoing, popular high school student. he seeks out opportunities to socialize, such as joining various clubs at school and participating in team sports. daniels efforts to select experiences that are consistent with his genetic tendencies is known as a(n) _______ correlation. If a cheetah runs at 25 m/s, how long will it take a cheetah to run a 100 m dash? Which of the following do consumers usually want to see rise with inflation?A. IncomeB. Interest ratesC. Money supplyD. Taxes Explain why yo-yo dieting might actually result in weight gain. 2.Describe why the Atkins and Zone diets cause weight loss, and identify the risks associated with each diet plan. 3.Why is a high-carbohydrate, moderate-protein diet like the Ornish diet often very difficult for a person to follow? 4.List some health risks of being overweight. 5.The theory behind high-protein, low-carbohydrate diets is that carbohydrates signal the body to produce _______ which in turn signals the body to store extra energy as fat. 6.Fat _______ the waist is harder to lose than fat _______ the waist. Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then finds the absolute value of his answer. What final value is greater? EXPLAIN