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

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Related Questions

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

Answers

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

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.

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]

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

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

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 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 :)

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

30tens-3tens3tenths=

Answers

30 tens - 3 tens = 27 tens

27 tens -  3 tenths = 26 tens and 7 tenths

hope this helps

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

Answers

199.81 is the answer

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

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

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 

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 

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

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

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

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

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

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.


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

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

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

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

Answers

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

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

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

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

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.

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.

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

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