Consider the expression 2 3 (14x − 3) − 3x( 4 5 + 5). Which statements are true about simplifying this expression? Check all that apply. Using the distributive property, the Two-thirds would be multiplied to 14x and to –3. Combining Four-fifths + 5 can be done before multiplying it by 3x. Using the distributive property, 3x times Four-fifths is subtracted, but the 3x times 5 is added. Combining 14x – 3 can be done before multiplying by Two-thirds. Subtracting 3x is the same as adding –3x.

Answers

Answer 1

Answer:

1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)

Step-by-step explanation:

just finished this lesson lol

Answer 2

Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

What is an Expression?

An expression is a mathematical statement consisting of variables, constants, and mathematical operators.

The expression is

[tex]\rm \dfrac{2}{3} (14x -3) - 3x( \dfrac{4}{5} +5)[/tex]

Applying Distributive Property

[tex]\rm \dfrac{2}{3} * 14x - \dfrac{2}{3} *3 - 3x * ( \dfrac {4 + 25}{5})[/tex]

Therefore, Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

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Related Questions

Which scale factor was used to create triangle SRT?

Answers

Answer:

1.6

Step-by-step explanation:

5 times 1.6 is 8.

Item 3 A snail travels 3/8 feet in 1/2 hour. How many feet does the snail travel in one hour? Express your answer in simplest form. 3/16ft 1/4ft 1/8ft 3/4ft

Answers

The answer in simplest form would be 3/4ft

two groups of people need to get to the top floor of a building. the first. group had 33 people, and its elevator can carry 6 people per trip. the second group has 49 people,but its elevator can carry 7 people per trip..... group 1 is represented by the equation 6x=33. solving the equation gives x what​

Answers

Step-by-step explanation:

6x = 33

or, x=33/6

x=5.5

What is nine divided by five and one fourths

Answers

The answer is 1.7142

9 ÷ 5 1/4 = 36/21

Simplify

36/21 = 12/7 = 1 5/7

-8 (x - 3) = -32
Your answer

Answers


X - 3 = -32 move the constant to the right
X = -32 + 3
Answer : X = - 29

Determine that table of values for these simultaneous equations.
5x+y=7
3x-y= 1

Answers

Answer:

What we suppose to be answering?

Step-by-step explanation:

Recall the Survivor: 21 Flags game from the page on backward induction. Assume that you are playingthe same game with the same rules EXCEPT now the team who takes the last flag loses.a) (30 points) What should each team’s strategy be?b) (5 points) What is the best move for the first team to move?c) (5 points) What is the best move for the second team to move?

Answers

Answer:

Given that there are 21 flags, NOW using backward induction we can see that;

If there is only one flag left, whosoever picks up that particular  flag will lose. Therefore, 1 is loosing number.

Now if there are 2 flags left, whosoever's turn it is, can pick 1 flag and leave one for the opponent and win the game. Therefore, 2 is winning number. Similarly if there are 3 flags left then whosoever's turn it is can pick 2 flags and leave one for the opponent and can win the game. Hence 3 is winning number. Similarly when 4 flags left, 3 can be picked up and leave one for the opponent and win the game. So, 4 is also winning number.

Now, if there are 5 flags left, then no matter whichever number you choose among 1,2 or 3 you gonna leave other team with 4,3 or 2 respectively and all 3 are winning number. Therefore, 5 is loosing number.

Similarly, if you have 6,7,8 then by taking 1,2,3 respectively you can leaveyour opponent with number 5 and that is loosing number and you can win certainly. Therefore, 6,7,8 are also winning number.

Following above discussion, we see a pattern among the number that would make sure you win and with other numbers you loose.

we see after 1 if we go in positive direction on number line till 21 then every fourth number is loosing number because no matter what you choose you will leave your opponent with a winning number of flags and if your opponent knows and follows the optimal strategy can win. Therefore,

Loosing Numbers = 1,5,9,13,17 and 21

Winning Numbers = 2,3,4,6,7,8,10,11,12,14,15,16,18,19 and 20

a) STRATEGY

If you are a team that is stuck with any of loosing number that is 1,5,9,13,17 or 21 then no matter what strategy you follow you gonna loose. Therefore, there is n winning strategy in this situation given other team also knows the winning strategy

But if you have any of winning numbers at any point then you can follow the following strategy and can win

- 2 flags = pick up one flag and leave 1 for the opponent, win

- 3 flags = pick up 2 flags and leave 1 for the opponent, win

- 4 flags = pick up 3 flags and leave 1 for the opponent, win

- 6 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 7 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 8 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 10 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 11 flags =  pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 12 flags =  pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 14 flags =  pick up one flag, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 15 flags =  pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 16 flags =  pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 18 flags =  pick up one flag, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

- 19 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

- 20 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

b)

Since team moving first will have 21 flags left on ground and it is a loosing number, no matter which number it chooses to pick it is gonna loose as it will leave other team with winning number. So, they will be indifferent between choosing 1,2 or 3

c)

If first teams removes 1 flag then best strategy for second team would be to remove 3 flags and again leave first team with loosing number

similarly, If first teams removes 2 flags then best strategy for second team would be to remove 2 flags and again leave first team with loosing number

and If first teams removes 3 flags then best strategy for second team would be to remove only 1 flag and again leave first team with loosing number

study of class attendance and grades among first-year students at a state university showed that, in general, students who missed a higher percent of their classes earned lower grades. Class attendance explained 36% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index?

Answers

Yess yes yes yes ffnjtssnm

If g(x)=x^2+5x find the value g(-2)+2

Answers

Answer:

-4

Step-by-step explanation:

g(-2) =  (-2)^2 + 5(-2)

g(-2) = 4 - 10

g(-2) = -6

and

g(-2) + 2

-6 + 2 = -4

Answer:

-4

Step-by-step explanation:

g(x)=x^2+5x

First find g(-2) by letting x=-2

g(-2) = (-2)^2 +5(-2)

       = 4 -10

      = -6

g(-2) +2 = -6+2 = -4

A scuba driver was swimming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the difference between these two elevations.

Answers

Answer:

-21

-29-(-8)=-21

A company was able to increase its staff from 127 employees to 204
employees. What was the percentage increase in staff? Round your
answer to the nearest tenth.

Answers

The percentage increase in staff was 60.6%.

Divide. Express your answer in simplest form. 14 ÷ 2/7

Answers

=49

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

141÷27

Applying the fractions formula for division,

=14×71×2 =982

Simplifying 98/2, the answer is =49

I need help on this question (6w^8)^3. must have only one exponent

Answers

Answer:

[tex]216w^{24}[/tex]

Step-by-step explanation:

[tex]\left(6w^8\right)^3[/tex]

[tex]6^3\times \left(w^8\right)^3[/tex]

[tex]216\times \left(w^8\right)^3[/tex]

[tex]216w^{8\times3}[/tex]

[tex]216w^{24}[/tex]

Answer:

6w^24

Step-by-step explanation:

(6w^8)^3

6w^8*3

6w^24

please follow me at brainly and give thanks

Which of these cannot be a whole
number?
A a positive integer
B a negative integer
C a rational number

Answers

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number. Hope it helps!

2(x + 3) – 10 = 4x


Can you also explain please. Thanks

Answers

Answer:

x=-2

Step-by-step explanation:

2(x+3)-10=4x

2x+6-10=4x

6-10=2x

-4=2x

-2=x

Answer:

x = -2

Step-by-step explanation:

First distribute the 2 with x and 3

Equation should look like... 2x + 6 - 10 = 4x

Second combine like terms, 6 and -10

Equation should look like... 2x - 4 = 4x

Third bring 2x to the other side making it -2x and subtract it from 4x

Equation should look like... -4 = 2x

Last divide -4 and 2.

Equation should look like... x = -2

claude spends $315 to rent a car. The car costs $45 per day. He had a coupon for 2 free days. Complete equation to find number of days claude rents the car. D represents the number of days. _ (_-_)=_

Answers

Answer:

9 DAYS

Step-by-step explanation:

he has + 2 days first then you do 315/45 =5 + 2 = 7

Simplify to create an equivalent expression.
4(-15 – 3p) - 4(-p+5)
Choose 1 answer:
(Α)
-8p - 80
B
- 13p - 80
-8p + 80
8p - 80

Answers

Answer:

A) I got this question right on my assignment

the answer for this question is A

what is -66 2/3 - 24 1/8 + -78 3/4

Answers

Answer:

-169.541667

Step-by-step explanation:

Answer:

Step-by-step explanation:

i belive your asnwer would be -257/24 but what are u trying to find?  

10X10 in exponent form?

Answers

Answer:

[tex] {10}^{2} [/tex]

Step-by-step explanation:

10^2
10 to the power of 2

Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?

Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.

Answers

We are given : Cost of a gallon of milk = $2.50.
Cost of a cup of yogurt = $1.20.
Total money Monica has = $20.
Number of cups of yogurt Monica can buy = x.
And inequality made is also correct
1.20x + 2.5 ≤ 20.
Now, we need to solve it for x.
Subtracting 2.5 from both sides, we get
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Dividing both sides by 1.20, we get
1.20x/1.20 ≤ 17.5/1.20.
x ≤ 14.5833...
Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.

Greatest number of cups of yogurt Monica can buy is equals to 14cups.

What is Linear inequality?

" Linear inequality is the algebraic mathematical expression which compares two value with the sign of inequality, <, > , ≤, ≥ ."

According to the question,

Given,

Total amount with Monica = $20

Cost of a gallon on milk = $2.50

Cost of 1cup of yogurt = $1.20

Given linear inequality

 1.20x + 2.5 ≤ 20

x represents the number of cups of yogurt

Solve linear inequality  to get the value of x we have,

1.20x+2.5 -2.5 ≤ 20-2.5

⇒1.20x ≤ 17.5

⇒x ≤  17.5 / 1.20

⇒x ≤  14.58

14 ≤ 14.58 ≤  15

Therefore, 14 of cups of yogurt Monica can buy.

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The equivalent ratios show how many teaspoons there are in 5 cups.
1.200 tsp ?tsp
50
10
What method can be used to convert 1 cup to teaspoons?
O multiply 1.200 by 5
O divide 1.200 by 5
multiply 5 by 1
divide 5 by 1,200

Answers

Answer:

divide 1,200 by 5 and the answer is 240

Step-by-step explanation:

did the test got an 100

Answer:

give Dom071 brainliest

Step-by-step explanation:

the answer is b and he got it right, also don't mix up the multiply and divide like I did ;-;

which number can each term of the equation be multiplied by to eliminate the fractions before solving?
plzzz help

Answers

Answer:

12.

Step-by-step explanation:

Because 12 is the only number that comes in 2,3 as well as 4s table.

GIVING BRAINLIST IF YOU HELP FAST!
Which statement about the arrow is true?
A)
The arrow does not have rotational symmetry.
B)
The arrow has rotational symmetry after a 90° rotation.
C)
The arrow has rotational symmetry after a 180° rotation.
D)
The arrow has rotational symmetry after a 270° rotation.

Answers

Answer:

B

Step-by-step explanation:

Answer:

Though you said that you would give " BRAINLIST IF YOU HELP FAST!" It doesn't mean that it is going to be the right answer. The correct answer is "ACTUALLY" C) The arrow has rotational symmetry after a 180° rotation.

Step-by-step explanation:

root 25-2(3+4*(-2)) whole square​

Answers

Answer:

-45.

Step-by-step explanation:

I am assuming you mean

√25 - 2(3 +4(-2))^2

= 5 - 2(3-8)^2

= 5 - 2 * (-5)^2

= 5 - 2*25

= -45.

4. At 7:30 a.m., the temperature in Cloud City was - 22°F. By 8:45 a.m., the temperature had risen 37 degrees. What was the temperature at 8:45 a.m.? At 8:45 a.m., the temperature was [3°F .​

Answers

Answer:

15°F

Step-by-step explanation:

What is
10x + 300 = 800
Pls

Answers

Answer:

x = 50

Step-by-step explanation:

10x + 300 = 800

subtract 300 from both sides

10x = 500

divide each side by 10

x = 50

Step-by-step explanation:

First group like terms

10x

[tex]10x + 300 = 800 \\ [/tex]

300 moves and joins 800 on the other side making it negative

[tex]10x = 800 - 300 = 500[/tex]

[tex]10x = 500[/tex]

10 then divides 500

Making the answer x=50

factor an expression:
(x²+x+1)²+3x(x²+x+1)-18x²​

Answers

Answer:

( x - 1 ) ^ 2 ( x ^ 2 + 7 x + 1 )

Step-by-step explanation:

Sorry about the spaces, thought it would make it look better!

6th grade math plsss help​

Answers

Answer:

17.2

Step-by-step explanation:

Answer:

The answer is 17.2

Step-by-step explanation:

Please help!! What is the quotient??

Answers

4x10^4 should be the answer

-2x^2+8x-9+4x+7x^2+2

Answers

Answer:

Add like terms

Step-by-step explanation:

You want to combine the squared, the variables, and the constants.

Combine -2x^2 and 7x^2 to get 5x^2

Then combine 8x and 4x which is 12x

Then combine -9 and +2 which is -7.

You should get 5x^2 + 12x - 7.

Keep in mind you can only combine like terms that are in the same equals barrier

For example: You can combine 8x + 3 + 2x = 0

but not 8x +3 = 2x +0 because they are on different sides of the equal sign.

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