Simplify the following expression and show your work in details please .

Simplify The Following Expression And Show Your Work In Details Please .

Answers

Answer 1

Answer:

[tex]4m + 5 - 3m \\ = 4m - 3m + 5 \\ = 1m + 5 \\ = (m + 5)[/tex]

Answer 2

Given the expression:

[tex] \displaystyle \large{4m + 5 - 3m}[/tex]

To simplify the expression, notice that 4m and 3m have the same term.

These are called like terms. Let's see some examples of like terms.

x and 58x both are like terms because they have same x.90y and 35664y both are also like terms because they have same y.

Then we also have the example of non-like term

50 and x both are not like terms because 50 is a constant and not a variable and x is not a number.920x and 790y both are not like terms because both have different variables.x and x^2 are not like terms as well because different degrees.

In conclusion,

like terms have to be the same term and same degree.

And that brings us to this topic, to evaluate or simplify the expression with two like terms and one non-like term.

Note that only like terms can evaluate. Let's see some examples:

5x+9x would be 14x since they are like terms and thus can be evaluated.x+x would be 2x. x is equivalent to 1x so 1x+1x = 2x. They are also like terms as well.

How about a subtraction?

9x-2x would be 7x. x-x would be 0.10y-7y would be 3y.

But what if it's non-like terms? Simple, we keep it like that!

8y+8z would be the same. They are not like terms so they cannot be evaluated.10x-7 would be the same as well. Not like terms.

So to simplify the expression in the question, we evaluate like terms first!

Since 4m and 3m both are like terms. We can do 4m-3m.

[tex] \displaystyle \large{4m + 5 - 3m} \\ \displaystyle \large{4m - 3m + 5} [/tex]

Evaluate 4m-3m

[tex] \displaystyle \large{1m + 5} [/tex]

We don't usually write 1m so we keep as m instead.

[tex] \displaystyle \large{m + 5} [/tex]

Now, can we evaluate m+5? No, because m and 5 are not like terms so we keep like this.

Hence, the answer is m+5


Related Questions

2x-3y=6 and x+3y=3



help me I cannot understand it please in substitution method ​

Answers

Answer:

[tex]thank \: you[/tex]

Answer:

Take 2x- 3y= 6 as equation 1

And

x+ 3y= 3 as equation 2

Now add both equation

2x - 3y = 6

x + 3y = 3

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

3x 0 = 9

We can also write 3x 0= 9 as 3x = 9

Now we have to solve 3x =9

3x = 9

x = 9/3

x= 3

I hope this will help you

Express the ratio as a unit rate.

4.5 miles in 25 minutes

Answers

Answer:

10  mins

Step-by-step explanation:

This is a fraction equal to

25 minutes ÷ 2.5 4.5

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

25 minutes ÷ 2.5

2.5 4.5 ÷ 2.5

=

10 minutes

1 4.5

=

10 minutes

4.5

= 10 minutes per 4.5

Anyone know how to solve it? ​

Answers

Answer:

[4  -2  -19]

[-1   1     8]

Step-by-step explanation:

[ 2 5]    *   [a b c]    =   [3 1 2]

[ 1  3]         ld e f]          [1 1 5]

[2a+5d 2b+5e 2c+ 5f]   =   [3 1 2]

[a+3d    b + 3e   c + 3f]       [1 1 5]

Solving systems of equations:

2a + 5d = 3

a + 3d    = 1

2a + 6d = 2

Subtract -d = 1 so d = -1

and a = 1 - 3d = 1 - 3(-1) = 4

So d = -1 and a = -4.

In the same way we find that b = -2, e = 1, c = -19, f = 8.

WILL GIVE BRAINLIEST IF FAST!!!!

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Answers

Answer:

can you please type that question

Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.

Answers

Step-by-step explanation:

your answer

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Solve for d when t = 0, t = 3, t = 5 d =2t

Answers

Answer:

When t = 0, d = 0When t = 3, d = 6When t = 5, d = 10

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

PART ONE: Find d when t = 0

Given expression

d = 2t

Substitute value into the expression

d = 2 (0)

d = 0

PART TWO: Find d when t = 3

Given expression

d = 2t

Substitute value into the expression

d = 2 (3)

d = 6

PART THREE: Find d when t = 5

Given expression

d = 2t

Substitute value into the expression

d = 2 (5)

d = 10

Hope this helps!! :)

Please let me know if you have any questions

when t=0 d=2*0=0
when t=3 d=2*3=6
when t=5 d=2*5=10

No link answers please solve honestly

Answers

Answer:

y = 78

Step-by-step explanation:

66 + 4 = 70 + 4 = 74 + 4 = 78

-12 + 3 = -9 + 3 = -6 + 3 = -3

x = -3

y = 78

Your average bi-weekly net pay is $489.00. What is 15% of your average monthly net pay? (1 point)
$146.70
$158.93
$160.13

Answers

Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.

Monthly net pay = 489.00 x 2 = $968.00

Multiply monthly by 15%

968 x 0.15 = $146.70

Answer: $146.70

If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.

Average monthly net pay

First step

Monthly net pay=$489.00×2

Monthly net pay=$968

Second step

Average monthly net pay:

Average monthly net pay=$968×15%

Average monthly net pay=$146.70

Therefore your average monthly net pay is:$146.70.

Learn more about average monthly net pay here:https://brainly.com/question/25273589

What value of x makes the equation 3(x-6) – 8x = -2 + 5(2x + 1) true? Show your work.

Answers

9514 1404 393

Answer:

  x = -1.4

Step-by-step explanation:

  3(x-6) -8x = -2 + 5(2x + 1)

  3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses

  -21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms

  x = -21/15 = -7/5

  x = -1.4

__

Check

  3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x

  3(-7.4) +11.2 = -2 +5(-2.8 +1)

  -22.2 +11.2 = -2 +5(-1.8)

  -11 = -2 -9 . . . . . true

Find the simple interest.
Principal
Rate 11% principle 9000 time1 1/2 years what's the amount of simple interest earned is

Answers

Answer:

Here is your answer. Hope this helps you!

Answer:

Rate(R)= 11%

Times(T)=11/2

Principle(P)= 9000

We know that,

SI = P×T×R÷100

= 9000×11/2×11÷100

=9000×5.5×11÷100

= 544500÷100

=5445

Hence, the required simple interest is 5445.

Ans

Use exponents to rewrite 27.
A. 93
B. 39
C. 9 + 9 + 9
D. 23
E. 33

Answers

Answer:

3³  = 27

Step-by-step explanation:

I'm guessing you need answer E

Write the decimal expansion for 5/6 Choose the correct decimal notation. A. 0.83 B. 0.8 C. 0.6 D. 0.83​

Answers

Answer: Choice A

Explanation:

If you use a calculator or long division, you should find that

5/6 = 0.8333333...

where the '3's go on forever. We shorten this down to [tex]0.8\overline{3}[/tex], the horizontal bar tells us which item goes on forever (just the 3 only).

The answer is A. I don't know how to explain.

The picture above circled one

Write a formula for the number of subsets of any set; identify any symbols use


Please help me!!
Mark brainliest!!

Answers

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

Help please! Find the area of the shape below. (Show work)

Answers

9514 1404 393

Answer:

  292 yd²

Step-by-step explanation:

We can find the area of the remaining L shape by subtracting the area of the 21×22 rectangle at lower left from the 26×29 overall rectangle.

  shape area = (26 yd)(29 yd) -(21 yd)(22 yd) = 754 yd² -462 yd²

  shape area = 292 yd²

__

Additional comment

The area of a rectangle is the product of its length and width.

There are many ways the area of this shape can be calculated. The area can be divided into two rectangles, two trapezoids, three rectangles, and other ways.

If you cut up the given shape into smaller pieces, you will generally need to know the widths of the arms of the L. One of those is shown as 7 yd. The other is 26-21 = 5 yd.

Using the method we did, we only needed the dimensions shown on the figure.

Solve the problem please

Answers

Answer:

x = 9±sqrt(7)

Step-by-step explanation:

3(x-9)^2 =21

Divide each side by 3

3/3(x-9)^2 =21/3

(x-9)^2 =7

Take the square root of each side

sqrt((x-9)^2) =±sqrt(7)

x-9 =±sqrt(7)

Add 9 to each side

x = 9±sqrt(7)

I have to factorise the following

Answers

This (*) will be for multiplication
1. 5 (3m + 1)
2. 2x * (5x + y - 8)
3. 48y * (2y - x)
Hope this helps

what is the symbol for line​

Answers

Answer:

the symbol is ↔

Help me with the e or how many you can
Please afsp

Answers

Answer:

(a)

sin²A×cos²A+sin⁴A

we will take sin²A as an common factor

so it become

sin²A×(cos²A+sin²A)

sin²A+cos²A=1

sin²A×1=sin²A

(c)

sinA×cotA

cotA= cosA/sinA

sinA×cosA/sinA=cosA

(e)

(1+sinA)²-(1-sinA)²

(a+b)²=a²+b²+2×a×b

(a-b)²=a²+b²-2×a×b

1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)

1+sin²A+2sinA-1-sin²A+2sinA=4sinA

(g)

(cosec²A-1)/cosec²A

cosecA=1/sinA

1/sin²A-1/1/sin²A

(1/sin²A-1)×sin²A

1-sin²A

1=sin²A+cos²A

sin²A+cos²A-sin²A=cos²A

(i)

sqrt(1+tan²A)×sqrt(1-cos²A)

1+tan²A=

1+sin²A/cos²A=

sin²A+cos²A/cos²A

sin²A+cos²A=1

=1/cos²A

1-cos²A

1=sin²A+cos²A

sin²A+cos²A-cos²=sin²A

sqrt(1/cos²A)×sqrt(sin²A)

1/cosA×sinA=sinA/cosA=tanA

have a great day

Find the area of a square with sides 11 feet long.

Answers

Answer:

the area of square is

the area of square is side*side

therefore ,area= 11*11= 121 feet square

in class of 80 student debre berhan university ,45 are good in mathematics,15 are good in both mathematics and in english,13 are good in both mathematics and psychology,16 are good in both english and psychology only,20 are good in psychology and 9 are good in both of three courses.how many students are not good in any of three courses ?

Answers

We want to find the number of students that are not good in any of the courses.

There are 80 students.

45 are good in mathematics

15 are good in both, mathematics and in English

13 are good in both, mathematics and psychology

16 are good in both English and psychology

20 are good in psychology

9 are good in all of the courses.

First, we know that we have:

45 good in math + 20 good in psychology = 65 students good in something.

But we know that:

13 are good in both, mathematics and psychology

This means that there are 13 students that are being counted twice, so we need to subtract 13.

45 + 20 - 13  = 52 students good in something.

Now we know that:

15 are good in both, mathematics and in English

16 are good in both English and psychology

9 are good in all of the courses.

So one would want to also count these students, but notice that these are already good in mathematics or in psychology, so these are already counted.

And we can't see the number of students that are only good with English, so we can conclude that

52 students are good in something.

then 28 students are not good at any of the 3 courses.

If you want to learn more, you can read:

https://brainly.com/question/24350406

Name the place value to which each number was rounded 16.932 to 20

Answers

Hi :)

Rounded to the tenth place value.

16 to 20

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.

What do you mean by nearest whole number?

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.

To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.

16.932 rounded to the nearest whole number = 17

Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.

Hence, the place value to which 16.932 was rounded is 17.

Learn more about Rounding off Number here:

https://brainly.com/question/17218460

#SPJ2

Need help ASAP PLEASE!!!

Answers

Answer:

x=1

Step-by-step explanation:

3/2+1/2x=2x

or,3*1+1*1x/2=2x

or,4x/2=2x

or,4x-2x=2

or,x=2/2

so,x=1

Problem 1.3
T
Use what you know about area to determine the area of
triangle T
Submit
5
3

Answers

Answer: it's supposed to be 60, check

Step-by-step explanation:

Evaluate (solve) the expression 4x + 8 when x = 2

Answers

Hi ;-)

[tex]x=2\\\\4x+8=4\cdot2+8=8+8=\boxed{16}[/tex]

Step-by-step explanation:

4x + 8

4 × 2 + 8

8 + 8

16

Therefore its 16.

6 + 5 - 4x = 1 - 4x
Pls hurry STEP BY STEP

Answers

Answer:

There are no solutions

Step-by-step explanation:

6+5−4x=1−4x

6+5+−4x=1+−4x

(−4x)+(6+5)=−4x+1

−4x+11=−4x+1

−4x+11=−4x+1

−4x+11+4x=−4x+1+4x

11=1

11−11=1−11

0 = −10

Answer:

10 = 0

Step-by-step explanation:

6 + 5 - 4x = 1 - 4x

11  - 4x = 1 - 4x

11 -1 = -4x +4x

10 = 0

I need help ASAP!!! Thanks​

Answers

okay so it’s pretty self explanatory. i will only give you the answer to the first one. what it is asking is to shade in 3/10 of the square. you will shade three bars in. for the decimal it will be 0.3 because where the three is in the decimal is the tenths place of a decimal

A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.

Answers

Answer:

wut are the statements?

Step-by-step explanation:

What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2

Answers

E is the answer to this question

Which expressions are equivalent? Check all that apply. 39 34 –92 99 Which expressions are equivalent? Check all that apply. 39 34 –92 99 811

Answers

Answer:

3 to the fourth power and 81 to the first power.

Step-by-step explanation:

i took he quiz

The equivalent expressions are 3^4 and -9^2

How to determine the equivalent expressions?

To determine the equivalent expressions, we simply solve the options.

So, we have:

3^9 = 19683

3^4 = 81

-9^2 = 81

9^9 = 387420489

From the above computation, we have:

3^4 = 81 and -9^2 = 81

Hence, the equivalent expressions are 3^4 and -9^2

Read more about equivalent expressions at:

https://brainly.com/question/2972832

brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

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