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

what two numbers would 39 fall between on a number line

Answers

Answer:

38 and 40

Step-by-step explanation:

Hope this helps you :)

Answer:

39 would fall between 38 and 40

Step-by-step explanation:

Point Q lies on AB. What definition, property, or postulate justifies the statement AQ + QB = AB?

Answers

Answer:

Segment Addition Postulate.

Step-by-step explanation:

The segment addition postulate justifies the statement:

[tex]AQ+QB=AB[/tex]

To help this make sense, you are namely adding segments on a line in order to achieve a complete line segment.

andrews bank account changed by -$50 after making four equal withdrawals. how much was each withdrawal​

Answers

50/4 = 12.5
So Andrew withdrew $12.50 each time.

(-5)+5 s )
What type of property is the equation

Answers

Answer:

-5 multiplied by positive five is your answer

Step-by-step explanation:

5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (denoted by A and B) in need One DA costs one unit of A, one unit of B: one GA costs one unit of A, two units of B. You get $3000 when you sell one DA and $5000 for one GA. The supply of the two materials every day is 12,22. a)What is the maximal profit $ b) How many DA and GA should be produced every day to obtain this maximal profit? Number of DA = Number of GA

Answers

Answer:

a) $56000b) DA = 2, GA = 10

Step-by-step explanation:

Given

DA = A + B ⇒ $3000GA = A + 2B ⇒ $5000Number of A = 12Number of B = 22

We can see from the equations that

GA - DA = B ⇒ $2000 andA = $1000 and B = $2000 in terms of profit

So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.

A + B = 12A + 2B = 22

Is the equation set to indicate use of the units A and B

Solving we get

A = 2 and B = 10

It this case all the units are used and profit is maximum

2*$3000 + 10*$5000 = $56000Number of DA = 2Number of GA = 10

Four relatives are going to give you money for your birthday. The amount each relative gives you is equally likely to be any number between $0 and $200. The chance that the total amount of money you receive is at most $300 is

Answers

High you’re welcome lol

The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
6x 10^-7
6x10^7
60 x 10^-6
60x10^6

Answers

Answer:

60x10^6

Step-by-step explanation:

-3/7(x-52) given x=10

Answers

Answer:

18

Step-by-step explanation:

-3/7 * ( x-52)

Let x = 10

-3/7 ( 10-52)

-3/7 * -42

-3 * -42/7

-3 * -6

18

There are nine different positions on a baseball team. If a team has 17 players how many different line-ups can the team make? (Assume every player can play every position.) The team can make different line-ups. Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game goes to extra innings, and a season consists of 147 games, how many complete seasons can the team play without repeating a line-up? The team can play complete seasons without repeating a line-up. (Your answer should be an integer.)

Answers

Answer:

A) 24310

B) 18 seasons

Step-by-step explanation:

A) We are given the team has 17 players and there are 9 different positions in the team.

This is a combination question and thus, the number of different line-ups the team can make is;

C(17, 9) = 24310

B) We are told the basketball games consists of 9 innings.

Thus,

Number of games you can fill = 24310/9 = 2701.1111

And then we are told a season consists of 147 games.

Thus;

Number of complete seasons can the team play without repeating a line-up =

2701.1111/147 ≈ 18 seasons

Answer:

a

Step-by-step explanation:

Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.

Please include the Variable, Equation, and the Solution​

Answers

Answer:

Ms. Bailey purchases 6 children tickets

Step-by-step explanation:

x=number of adult tickets

y=number of children tickets

10x+6y=46

plug in what you know

10(1)+6y=46

10+6y=46

subtract 10 from both sides

6y=36

divide both sides by 6

y=6

6 children tickets

Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?

Mr. Stewart spent $77.40 on his new car battery.

Answers

Answer: $77.40

Step-by-step explanation:

First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.

The total cost of the battery was $77.40.

Which term best describes a figure formed by three segments connecting
three noncolinear points?
A. Angle
B. Obtuse
C. Vertex
D. Triangle

Answers

Answer:

The term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

Step-by-step explanation:

Step-by-step explanation:

We know that with the help of just one point we can't form any figure.

With the help of two points a line segment can be formed.

And with the help of three points if the three points are collinear a triangle can be formed.

Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

How do you simplify 8^3​

Answers

Steps to solve:

8^3

~Simplify

8 * 8 * 8

~Multiply all

4,096

Best of Luck!

Why is it useful to write a ratio of fractions as a unit rate?

Answers

Answer:

When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as 41 instead of simplifying it to 4 so that we can see the two parts of the ratio.

Your target number of calories is 2400 per day to lose weight, but you are consuming 3200 calories per day. Your target is what percentage of your consuming calories? Insert your answer as a whole percentage WITHOUT the % symbol.

Answers

Answer:

75

Step-by-step explanation:

Your target number of calories is 2,400 per day inorder to lose some amount of weight.

Instead 3,200 calories is consumed

Therefore the percentage of target that is consumed can be calculated as follows

= 2,400/3,200 × 100

= 0.75 × 100

= 75

Hence the percentage of calories that is consumed is 75

HELP!! Need Help With My Homework!

Answers

Answer:

x + 4 = 9 + 2x - 15

Step-by-step explanation:

Since, E is between F and G.

Therefore,

FG = EF + EG

x + 4 = 9 + 2x - 15

x + 4 = 2x - 6

4 + 6 = 2x - x

10 = x

or

x = 10

At 6 am, the temperature was 73 degrees Fahrenheit. By noon, then temperature had rose 8 degrees. At 4 pm, the temperature was 5 degrees warmer than it was at noon. By 9 pm, the temperature had dropped 16 degrees. What was the temperature at 9 pm?

Answers

Answer:

70 degrees Fahrenheit

Answer:

70

Step-by-step explanation:

We started at 73 degrees and the temperature rose by 8 degrees so 73 + 8 = 81. At 4 pm, the temperature rose again by 5 degrees so 81 + 5 = 86. By 9 pm, the temperature dropped 16 degrees so 86 - 16 = 70, Therefore, the temperature at 9 pm was 70 degrees.

Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces

Answers

I think it’s 85 if I’m wrong Im really sorry

(57 + 4) x 4 - 16 I need this for my math test

Answers

Answer:

228

Step-by-step explanation:

(57 + 4) * 4 - 16

61 * 4 - 16( To get 61 solve the ones in brackets first)

244 - 16( Solve the multiplication to get 244 _ 61 * 4=244)

228 ( Then solve the subtraction - 244-16= 228)

SO THE ANSWER IS 228.

YOU JUST NEED TO FOLLOW BODMAS.

HOPE IT HELPED

what are the steps and answer for - 5n - 2 = 38

Answers

Answer:

n = -8

Step-by-step explanation:

[tex]- 5n - 2 = 38[/tex]

Collect like terms and simplify

[tex]-5n = 38+2\\\\-5n = 40[/tex]

Divide both sides of the equation by -5

[tex]\frac{-5n}{-5n} = \frac{40}{-5}[/tex]

Simplify

[tex]n = -8[/tex]

You would add two to 38. Then divide both sides by -5 to get N=8

what is the difference between (5+3)x3 (5+3)x9

Answers

Answer:

If you were asking the difference as in subtraction then the answer is 18.

What is the value of x?

Answers

Answer:

35 degrees

Step-by-step explanation:

180-95=85

180-(85+60)=35

B) 35 (180-95=85+60=145 180-145=35)

On a marathon course Amanda is 2mile behind Beverley and chad is 1 mile ahead of Beverly how far apart are Amanda and chad?

Answers

the answer to this question is 3 miles

Solve each expression using the correct order of operations,
7- 5 + 3 x 10

Answers

Answer:

28 is your answer

Step-by-step explanation:

you start with multiplication and continue with addition and then go to subtraction

Answer:

32

Step-by-step explanation:

3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -

So 30

7-5+30 = 32

If UV = 13, VW = 3x − 5, and UW = 5x − 18, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer.

I got stuck here. If you could (or not) type step by step.

Answers

Since UV and VW make up UW, we can set add together UV and VW and set them equal to UW.

5x - 18 = 13 + 3x - 5

Let's combine like terms on the right side.

5x - 18 = 3x + 8

Subtract 3x from both sides and add 18 to both sides.

2x = 26

Divide both sides by 2

x = 13

We know that UW = 5x - 18. Let's plug 13 in for x.

UW = 5(13) - 18 = 65 - 18 = 47.

what is the place value of 5 in 7,832.951

Answers

answer: hundredths
explain: the 9 is in the tenths then the 5 is in the hundredths and the 1 is in the thousandths

A rectangular plot of land measures .25 miles In width and .75 miles in length. Find the area of the plot in square feet

Answers

Answer:

1,875

Step-by-step explanation:

by the way next time use a calculator not in a mean way ^^

All pictures are below please help Sandi had the following problem on her math test: . She showed her work on the test as follows: Given: Step 1: Step 2: Step 4: Step 5: In at least two paragraphs, explain the steps Sandi took to arrive at her answer. If she made any errors in her process clearly explain what she did wrong and how she could have made the error. If there is an error, provide the correct steps in your explanation of Sandi’s work. Use correct math terminology wherever appropriate.

Answers

Answer:

the answer is 6

Step-by-step explanation:

hope this helps!!!

Answer:

18

Step-by-step explanation:

6 × 4 + 2 ÷ 2 - 7

24 + 1 - 7

25 - 7

= 18

thanks

Lupe has 500 Mexican pesos. If 1 U.S. dollar equals 12.87333 pesos, about how many dollars can Lupe buy for her pesos?

Answers

Answer:

the answer is C. $38.84

Step-by-step explanation:

If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X. That is, find E(X). Round to the whole number. Do not use decimals. Answer:

Answers

Answer:

9

Step-by-step explanation:

E(X) = np

E(X) = (15) (0.6)

E(X) = 9

The mean of the X is 9.

What is the mean of the binomial distribution?

The mean of a binomial distribution is the expected value (long-run average) of the number of successes in the given number of trials.

Formula for calculating mean of binomial distribution

[tex]\mu_{x} = n.p[/tex]

where,

[tex]\mu_{x}[/tex] is the mean of the binomial distribution

n is the number of trials

and, p is the probability of success

According to the given question.

We have

Number of trials, n = 15

Probability of success, p = 0.6

Therefore, the mean of X is given by

[tex]E(X) = 15(0.6)[/tex]

⇒ [tex]E(X) = 9[/tex]

Hence, the mean of the X is 9.

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