Three friends meals at a restaurant cost is 13,14,and 11 dollars. Use parentheses to write two different expressions to show how much the friends spent in all which property does your pair of expressions demonstrate?

Answers

Answer 1

Answer: (13+14)+11= 13+(14+11)
Associative property of addition

Answer 2

Answer:

Final answer:

The expressions (13 + 14) + 11 and 13 + (14 + 11) both demonstrate the associative property of addition. Regardless of how the meals are grouped in the parentheses, the total cost of the meals remains the same at $38.

Explanation:

The question is asking you to create mathematical expressions using parentheses to show the combined cost of three friends' restaurant meals, whose prices are $13, $14, and $11. We can do this by using the associative property of addition, which states that the way in which numbers are grouped when being added does not change the sum.

The first expression could be (13 + 14) + 11, where the meals costing $13 and $14 are grouped together first. The sum of these two meals is $27, so if we then add the $11 meal, we get a total of $38.

The second expression could be 13 + (14 + 11), where the meals costing $14 and $11 are grouped together first. The sum of these two meals is $25, so if we add the $13 meal, we still get a total of $38.

This shows the associative property of addition because regardless of how the meals are grouped in the parentheses, the total cost remains the same.

Learn more about Associative Property here:

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Which method is the most efficient method to use to solve x^2+4x+3=0

Answers

Answer:

Factoring

Step-by-step explanation:

To solve the equation $x ^ 2 + 4x + 3 = 0$ , you must apply the factoring method.

You must find two real numbers b and c such that:

$b + c = 4$

and

$b(c) = 3$

Then the expression:

$x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)$

You can prove that:

$b = 3\nc = 1$

$x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)$

$(x + 3)(x + 1) = 0$

$x +3 = 0$ or $x + 1 = 0$

$x = -3$ or $x = -1$

X will be -1 and -3!

Answer as many as you can thank you

Answers

I don't think you should have people doing your homework. If you need help, try YouTube videos on the subject that you need help on. I'm sure someone posted a video on algebra. Good luck!

are there any more instructions included in the problem?

Round 8923 to the thousands

Answers

Answer:

9000

Step-by-step explanation:

To round a number to the nearest thousand, you look at the number in the hundreds place.

If the number in the hundreds place is

greater than 5, you add 1 to the number in the thousands place
less than 5, you keep the number in the thousands place
exactly 5 with only zeros following it, you round the number in the thousands place to the nearest even number

Here's how to round 8923 to the nearest thousand.

The digit in the thousands place is the 8.
The number in the hundreds place (8) is greater than 5.
Add 1 to the digit in the thousands place.

The rounded number is 9000.

Answer:

9000

Step-by-step explanation:

When you are rounding to the thousands, if the hundreds place is 500 or greater you have to round up in the thousands place.

That would mean 8923 rounded to the thousands place would equal 9000

Hope This Helps!

Estimate the quotient 67 divide 4

Answers

4 goes into 67 16 times when whole, with a remainder of 3.

That 3 makes the quotient 16.75
If rounding to the next whole number, 17.
If rounding to the ones place, 16.8

:D

Frank deposited $4000 into an account with 3% interest, compounded semiannually. Assuming that no withdrawals are made, how much will he have in the account after 5 years?

Answers

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \n\n A=P\left(1+(r)/(n)\right)^(nt) \quad \begin{cases} A=\textit{accumulated amount}\n P=\textit{original amount deposited}\dotfill &\$4000\n r=rate\to 3\%\to (3)/(100)\dotfill &0.03\n n= \begin{array}{llll} \textit{times it compounds per year}\n \textit{semiannually, thus twice} \end{array}\dotfill &2\n t=years\dotfill &5 \end{cases} \n\n\n A=4000\left(1+(0.03)/(2)\right)^(2\cdot 5)\implies A=4000(1.015)^(10)\implies A\approx 4642.16$

Insert parentheses to make each statement true

2-3-4+1

Answers

The answer is (2-3)-(4+1)

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