Simplify the expression 2b-3a+b+a

Answers

Answer 1
Answer: 2b+b-3a+a
the simplified version is 3b-2a
Answer 2
Answer: 2b-3a+b+a=\n-2a+3b

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Simplify 8 -2/3 please (leave as fraction)

The diagram shows two straight lines.Not drawn accurately
136°
Х
Work out the value of x.

Answers

Answer:

x = 136º

Step-by-step explanation:

This is true because of the vertical angles rule. With vertical angles, they always equal each other.

Final answer:

The two straight lines form vertical angles due to their intersection which are congruent, giving x a value of 136°.

Explanation:

The question pertains to angles and lines in geometry. Based on the information given, it seems that the two straight lines form vertical angles. Vertical angles are two angles whose sides form two pairs of opposite rays. They occur when two lines intersect, and are congruent, meaning they have the same measure.

In this case, x and 136° seem to be vertical angles. Therefore, the value of x would be equal to the other angle. So, x = 136°.

Learn more about Vertical Angles here:

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Describe how to estimate a non-perfect square root to the hundredths place without using a calculator.

Answers

Let's pretend it is the √5. We know √4 is 2 and √9 is 3. So, we know it is between 2 and 3. 5 is closer to 4 so we know it is less than 2.5. You keep using tis method until you find an answer.

Answer:

Sample Response: Approximate between two whole numbers by finding the perfect squares nearest to the target number. Identify which value the non-perfect square root is closest to, then use the iterative process to approximate further to the tenths place, and then further to the hundredths place.

Why is a ray an undefined term

Answers

Because it only has one end. It goes of forever in one direction.

An online bank statement reads as follows: Account balance: $986.24

Car payment: $203.34
Gas bill: $96.67
Check deposit: $1289.60
Cash deposit: $45
Debit card transaction: $67.12
ATM withdrawal: $30

Find the current account balance to date.



A. $1,923.71
B. $937.47
C. $1,726.52
D. $1,555.33

Answers

Answer:

Option A. $1,923.71would be correct

Step-by-step explanation:

Account balance : $986.24

Total deductions = Car payment + Gas bill + Debit card transaction + ATM withdrawal

Total deductions = 203.34 + 96.67 + 67.12 + 30 = $397.13

Now subtract the total of payments and withdrawals from initial balance

986.24 - 397.13 = $589.11

Now add all the check and cash deposits

Total deposits = Check deposit + Cash deposit

Total deposits = 1289.60 + 45.00 = $1334.60

$589.11 + 1334.60 = $1923.71

Current account balance to date would be $1923.71.

Final answer:

The current balance of the account is $1923.71. This is calculated by adding the deposits to the initial balance and then subtracting the various expenses and withdrawals.

Explanation:

To find the current bank account balance, we start with the initial balance and add any deposits. After that, we subtract all the expenses and withdrawals. In this case, the initial balance is $986.24. We add the check deposit of $1289.60 and the cash deposit of $45, and get $2320.84. Then we subtract the car payment of $203.34, the gas bill of $96.67, the debit card transaction of $67.12, and the ATM withdrawal of $30. The resulting balance, $1923.71, is the final balance to date.

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Write a explicit formula for the sequence 10, 9.5, 9, 8.5, 8 then find ^a8

Answers

Answer:

Explicit formula for the sequence isa_n=10.5-0.5nand a_8=6

Step-by-step explanation:

Given: Sequence = 10, 9.5 , 9 , 8.5 , 8

To find: Explicit Formula for the sequence and 8th term of sequence

1st term of sequence = 10

2nd term of sequence = 9.5

3rd term of sequence = 9

4th term of sequence = 8.5

5th term of sequence = 8

Difference between 2nd and 1st term = 9.5 - 10 = -0.5

Difference between 3rd and 2nd term = 9 - 9.5 = -0.5

Since, Difference is same in both cases

⇒ It is Arthematic Progression

⇒ First term, a = 10 and Common term, d = -0.5

using formula of AP for nth term we get,

a_n=a+(n-1)d

a_n=10+(n-1)(-0.5)

a_n=10-0.5n+0.5

a_n=10.5-0.5n

⇒ 8th Term of AP, a_8=10.5-0.5*8=10-4=6

Therefore, Explicit formula for the sequence isa_n=10.5-0.5nand a_8=6

Answer:

The term number eight is 6.5

a_(8)=6.5

Step-by-step explanation:

The given sequence is an arithmetic sequence, because each term can be found by applying a difference.

In this case, you can observe that such difference is -0.5, because each term is going down by 0.5 units.

The formula that describes an arithmetic sequence is

a_(n)=a_(1)+(n-1)d

Where a_(n) is the last term, a_(1) is the first term, n is the position of the last term and d is the difference.

Each variable is

a_(1) =10\nd=-0.5\nn=8\n

Where we are gonna find a_(8) the term number eight. So, replacing values, we have

a_(n)=a_(1)+(n-1)d\na_(8)=10+(8-1)(-0.5)\na_(8)=10+7(-0.5)=10-3.5\na_(8)=6.5

Therefore, the term number eight is 6.5.

Which words in the sentence are the adjective clause? Alessandra, whom everyone calls "Al," is the best tennis player on the team.
a. whom everyone calls "Al
b. is the best
c. tennis player on the team
d. Alessandra, whom everyone

Answers

Adjective clause describes or gives some information about the subject, or a noun generally, which in this case is "Alessandra". The clause that describes her is "whom everyone calls "AI"": so the correct answer is a) .