Are x+4=5 and 2x+8=10 equivalent equations?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

You can find the answer to this question by finding the value of x in both equations.

Let's start off with the first equation: [tex]x+4=5[/tex]

To find the value of x, you're going to have to subtract 4 from both sides. This is because you're looking for the value of only x, not x + 4. To leave x alone, you'd have to subtract 4, leaving that side with just x.

[tex]x+4-4=5-4[/tex]

[tex]x=1[/tex]

The answer to the first equation is x = 1.

Now let's start on the second equation: [tex]2x+8=10[/tex]

Like before, you're looking for x alone and in this equation, 8 is being added to 2x. Although x itself isn't alone, you'll first start off with 2x since you can simplify it thrughout the process. In this equation, you're going to subtract 8 from both sides to leave the variable x alone.

[tex]2x+8-8=10-8[/tex]

[tex]2x=2[/tex]

Now you're left with 2x = 2. Since you're looking for the value of x alone, you're going to divide both sides by 2. Because x is being multiplied by 2(2 times x = 2x) you're going to divide(opposite of multiply), which will cancel out the 2(in 2x).

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

[tex]x = 1[/tex]

The answer to the second equation is x = 1.

Since both equations have the same solution, the answer to your question would be yes.

Answer 2

Hello There!

ANSWER:

Yes

EXPLANATION:

If you want to know if your two equations are equivalent, let's try finding the answer to both of them.

[tex]x+4=5[/tex]

Let's find x.

We all know addition and subtraction. So let's just do

[tex]5-4=x[/tex]

So 5-4 is equal to 1.

So the answer for this equation is

[tex]x=1[/tex]

Let's move on to your second equation.

[tex]2x+8=10[/tex]

Now we must subtract 8 from both sides.

[tex]2x+8-8=10-8[/tex]

And this equals

[tex]2x=2[/tex]

Let's divide the both sides by 2.

[tex]\frac{2x}{2}=\frac{2}{2}[/tex]

The fraction [tex]\frac{2}{2}[/tex] is gonna equal one.

So [tex]x=1[/tex]

Now you have your answer for the second equation. Both answers were the same.

So the answer to your question is YES.


Related Questions

10a -5ab+ 4b
(if a = 2/5 and b =-1/6)

Answers

Answer:

11/3 or 3 2/3 (sry if its wrong)

Step-by-step explanation:

1. If the measure of an angle is 38°, find the measure of its complement.
O 38°
O 52°
O 142
62°

Answers

Answer:

52

Complementary Angles:

Two angles that add up to 90.

What does this tell us about the sum of 7 and its opposite, -7?

Answers

Answer:

it is a naughtiest number

Answer:

0

Step-by-step explanation:

Draw a number line. Start at -7 and add 7 to it. The result will be zero.

Four mathematicians have the following conversation:
Alice: I am insane.
Bob: I am pure.
Charlie: I am applied.
Dorothy: I am sane.
Alice: Charlie is pure.
Bob: Dorothy is insane.
Charlie: Bob is applied.
Dorothy: Charlie is sane.
You are also given that:
● Pure mathematicians tell the truth about their beliefs.
● Applied mathematicians lie about their beliefs.
● Sane mathematicians beliefs are correct.
● Insane mathematicians beliefs are incorrect.
Describe the four mathematicians.

Answers

Answer: plz mark as brainliest

Step-by-step explanation:The table below shows the net effect of a person’s mental state and occupation on his or her truth telling.

Suppose that Dorothy is telling the truth. Then she is sane (and hence a pure mathematician) and Charlie is sane. Bob says that Charlie is insane, so Bob is not telling the truth. Since he says he’s pure, he’s actually applied and hence Charlie is telling the truth. But then he’s applied and sane applied mathematicians do not tell the truth. This is a contradiction.

Therefore, Dorothy is not telling the truth. Thus, both Charlie and Dorothy are insane (hence Dorothy is pure). Consequently, Bob is telling the truth. Therefore Bob is pure (and sane, since he is a truth teller). Since Charlie says that Bob is applied, he is not telling the truth. Since we know that he is insane, he must be pure.

Since Alice says that Charlie is pure, she is telling the truth. Therefore she is insane and consequently applied.

In summary:

Alice is an insane applied mathematician.

Bob is a sane pure mathematician.

Charlie is an insane pure mathematician.

Dorothy is an insane pure mathematician.

Alice: Alice claims to be insane. If she is telling the truth, then her belief is incorrect, and she is, in fact, sane.

What is a mathematician?

Mathematicians and statisticians solve problems in industry, academia, and government by using formulas and data.

Alice: Alice claims that she is insane. If she's telling the truth, her belief is incorrect, and she's perfectly normal. Alice is thus either pure or applied.

Bob: Bob declares himself to be pure. Bob's belief is correct, and he is indeed pure, because pure mathematicians tell the truth.

Charlie claims to be applied, but Alice claims Charlie is pure. Alice's claim about Charlie is true because applied mathematicians lie, and Charlie is actually pure.

Dorothy: Dorothy asserts that she is sane. Dorothy's belief is correct, and she is indeed sane, because the beliefs of sane mathematicians are correct.

Therefore, the four mathematicians are Alice (either pure or applied), Bob (pure), Charlie (pure), and Dorothy (sane).

For more details regarding mathematicians, visit:

https://brainly.com/question/30613154

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hey please!! Thank you <33

Answers

Answer:

h÷2

Step-by-step explanation:

[tex]2\:gallons =1\:hour\\2 \: gallons = h \:hours\\2h = 2\\\frac{h}{2} = \frac{2}{2}[/tex]


What is the value of m in the equation 1/2m -3/4n=16,when n=8?
A:20
B:32
C:44
D:48

Answers

Answer: C. 44

Explanation:

1/2m - 3/4n = 16
1/2m - 3(8)/4 = 16
1/2m - 24/4 = 16
1/2m - 6 = 16
1/2m = 16 + 6
m/2 = 22
m = 44

Check:

(44)/2 - 3(8)/4 = 16
22 - 6 = 16
16 = 16

Therefore, m = 44 is correct.

implify the expression 10+54/4^2 using PEMDAS. Round to the thousandths place (three places past the decimal)

Answers

Answer: 13.375

Step-by-step explanation:

PEDMAS is a sequence of following operations:

Parenthesis, exponents, multiplication, division, addition, subtraction.

The given expression: [tex]10+\dfrac{54}{4^2}[/tex]

According to Pedmas , the first operation we need to simplify is " exponents"

[tex]10+\dfrac{54}{4^2}=10+\dfrac{54}{16}\\\\=10+3.375\ \ \ [\dfrac{54}{16}=3.375]\\\\= 13.375[/tex]

Hence, the simplified answer is 13.375 .

Answer:

16

Step-by-step explanation:


In the expression 11 + 3n, the coefficient is 11.
(1 point)
O This statement is false. In the expression 11 + 3n, the coefficient is 3.
This statement is true.
This statement is false. In the expression 11 + 3n, the coefficient is n.
This statement is false. In the expression 11 + 3n, the coefficient is +

Answers

Answer:

This statement is false. In the expression 11 + 3n, the coefficient is 3.

Step-by-step explanation:

Given

Expression: 11 + 3n

Required

Is 11 the coefficient?

In the given expression, there are two expression;

11 and 3n

Explaining 11

11 is just a constant as it doesn't have any variable attached to it

Explaining 3n

This can be expressed as 3 * n

As such;

[tex]3[/tex] is the coefficient and [tex]n[/tex] is the variable

Hence;

Option A answers the question

Expand (6 − )(6 + ). *

Answers

The answer is (6-)(6+)= -36

Please please help me please

Answers

Isnt the negative 3 and the positive 2

solve the equation x over 4 = 12 over 6

Answers

Answer:

x = 8

Step-by-step explanation:

Solve for x:

x/4 = 12/6

Hint: | Reduce 12/6 to lowest terms. Start by finding the GCD of 12 and 6.

The gcd of 12 and 6 is 6, so 12/6 = (6×2)/(6×1) = 6/6×2 = 2:

x/4 = 2

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of x/4 = 2 by 4:

(4 x)/4 = 4×2

Hint: | Cancel common terms in the numerator and denominator of (4 x)/4.

(4 x)/4 = 4/4×x = x:

x = 4×2

Hint: | Multiply 4 and 2 together.

4×2 = 8:

Answer: x = 8

A parallelogram has sides lengths of 7 inches and 11 inches. Find the prerimeter

Answers

Answer: 36 in

Step-by-step explanation:

the formula for perimeter: 2(l+w)

length: 7

width/length: 11

 2(l+w)

=2(7+11)

=2(18)

=36 in

Hope this helps!! :)

Please let me know if you have any question

Answer:

The perimeter of the parallelogram is 36 inches.

Step-by-step explanation:

The perimeter of a parallelogram is the addition of all of its side lengths.  In a parallelogram, each side length is repeated twice.  The perimeter can thus be represented by the following formula:

P = length + length + width + width

Now, we can substitute in the values that we are given in the problem.

P = 11 + 11 + 7 +7

Next, we simply have to add together the remaining values to simplify.

P = 36 inches

Therefore, the perimeter is 36 inches.

Hope this helps!

A Student built a tent-shaped like a rectangular box for science experimentation, The tents is 3 yards wide, 5 yards long 2 yards high, what is the volume of the tent in cubic meters (m^3)?

Answers

Answer:

30 meters^3

Step-by-step explanation:

volume is l x w x h

so the formula would be 5x3x2

which is 15x2

therefore the answer is 30

The area of the top face of a cube is 9 square centimerers. Use 9 of these cubes to make a rectangular prism. What is the volome of the rectangular prism?

Answers

Answer:

243 cm³

Step-by-step explanation:

A cube has the same measure in length, width and height. So, we know that the area of the top face of a cube is 9 square centimeters, this means that

Length x width = 9 square centimeters

But, since length and width are the same, we have that they are equal to [tex]\sqrt{9} =3[/tex] cms (since 3² = 9).

Thus, the volume of each cube is 3³ = 27 cm³

We are going to use 9 of these cubes to make a rectangular prism, therefore, the volume of this prism is going to be 9 times the volume of each cube.

Volume of prism = 9 (27) = 243 cm³

Answer:

243 cm³

Step-by-step explanation:

Hope this helps

A group of friends were working on a student film that had a budget of $800. They used 75% of their budget on costumes. How much money did they spend on costumes?

Answers

Answer:

They spent $600 on costumes.

Step-by-step explanation:

10% = $800 ÷ 10 = $80

20% = $80 x 2 = $160

50% = $800 ÷ 2 = $400

5% = $80 ÷ 2 = $40

400 + 160 + 40 = $600

Hope this helps!

Answer:

budget=$800

used money percent=75%

Now,

spend money

=75×800/100

=75×8

=$600

A bag contains red and blue pens in the ratio 2:7. There are 18 red pens in the bag. How many blue pens are in the bag?

Answers

blue pens= 63

Step-by-step explanation:

answer of question

Answer:There are  

49

blue balls in the bag.

Explanation:

The ratio of red balls and blue balls in a bag is

2

:

7

i.e for every  

2

red balls there are  

7

blue balls. So for  

14

red balls there are  

14    

----

2

7

=

49

blue balls.[Ans]

A rectangle has a length of (2m - 5) inches and a width of (4m - 2) inches. If the rectangle has a perimeter of 382 inches, then what is the length & width of the rectangle?

Answers

Answer:

length = 56.33 inches

width =120.64 inches

Step-by-step explanation:

answer attached

Solve 2(x + 1) = 2x + 5​

Answers

Answer:

no solution

Step-by-step explanation:

Given

2(x + 1) = 2x + 5 ← distribute parenthesis on left side

2x + 1 = 2x + 5 ( subtract 1 from both sides )

2x = 2x + 4 ( subtract 2x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

Answer:

See below

Step-by-step explanation:

● 2(x+1) = 2x +5

Multiply 2 by (x+1)

● 2x + 1×2 = 2x+5

● 2x + 2 = 2x+5

Substract 2x from both sides

● 2x+2-2x = 2x+5-2x

● 2 = 5

This is impossible, so this equation has no solution.

plz give me correct answer.....correct answer will be marked BRAINLIEST and be followed...​

Answers

Answer:

a+b+c+d+e+f=540.

Angles in a triangle=180.

3 triangles=180×3=540.....

Solve the system of linear equations in two variables by elimination or substitution.
y=1 + x
2x+y=-2

Answers

Answer: x=-1, y=0

Step-by-step explanation:

y=1+x

2x+y=-2

-----------------

#1 Elimination                             #2 Substitution

y=1+x                                                    y=1+x

2x+y=-2                                                2x+y=-2

---------------

-x+y=1                                              2x+(1+x)=-2

2x+y=-2                                           2x+1+x=-2

---------------                                           3x+1=-2

-2x+2y=2                                                  3x=-3

2x+y=-2                                                       x=-1, y=0

--------------

3y=0

------------

y=0, x=-1

Hope this helps!! :)

Please let me know if you have any question

Please help. Will mark brainliest. Question 1 & 2:

Answers

Answer:

see below

Step-by-step explanation:

f(x) when x =10

The part that applies when x=10 is x^2 +3

f(10) = 10^2 +3

       = 100+3

       = 103

f(x) when x =-10

The part that applies when x=-10 is none

There is no part that applies ins -10 < -3

We cannot find a solution since x is in any defined region

What is the acceleration of a car that travels in a straight line at a constant speed?

Answers

Answer:

zero

Step-by-step explanation:

Answer:

Average acceleration = (change in velocity)/(time it takes)

Step-by-step explanation:

hello I need help solving combining like terms

-7x+9x

-5-8n-3

1+9v-5+4v​

Answers

Answer:

1. 2x

2. -8n - 8

3. 13v - 4

Step-by-step explanation:

1. Put them nto standard form, it makes adding and subtracting easier

[tex]9x - 7x\\\\-8n - 5 - 3\\ 9v + 4v - 5 + 1[/tex]

2x

-8-8n

-4+13v

hope this helps!


[tex] \frac{3}{4} |m - 2n {}^{2} | [/tex]
If m = -4 and n=6​

Answers

3/4|-4-2(36)|
3/4|-4-72|
3/4|76|
=57

Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints.

Answers

Answer: $4000 + $200n + $50x

Step-by-step explanation:

From the question, we are informed that every month, Rachel gets a basic salary of $4000 and also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves.

The expression for her total salary for a month if she sells n policies and resolves x complaints will be:

= $4000 + ($200 × n) + ($50 × x)

= $4000 + $200n + $50x

Which transformation maps the pre-image to the image? A. dilation B. stretch C. reflection D. rotation

Answers

Answer:

the answer is b. stretch.

Step-by-step explanation:

the side measure 4 is the same for the image as it is for the pre-image. the side measure 8 on the pre-image is 6 for the image. when only one measure changes its a stretch.

The figures' transformation maps the pre-image to the image is stretch .

What is pre-image to the image?

The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

According to question

Length of 1st figure = 8

Width of 1st figure = 4

Length of 2nd figure = 6

Width of 2nd figure = 4

as we can conclude that only length is change not breath

that means it is stretch .

Hence, Figures' transformation maps is stretch .

To know more about pre-image to the image here :

https://brainly.com/question/18159367

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Rental of space = $68 per guest; Downpayment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.

Answers

This question is incomplete, the complete question is;

PROBLEM SOLVING WITH PERCENTS: You are planning a wedding reception for 75 guests that will take place in exactly 10 months. There are two different sites that you are contemplating using, with the stipulations on payments as described below. Determine the TOTAL cost of renting each location.

Rental of space = $68 per guest; Down payment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.

Answer:  Total Cost of Renting = $5312.29

Step-by-step explanation:

Given that;

Rental space = $68 per guest, down payment = 25%,  7.4% interest payment on the balance.

Total Cost of Renting = Down Payment + Remaining payment

Total Cost of Renting = $68 × Guests × 25% + ($68 × Guest - Down payment) ×  (1 + Interest *9/12)

Total Cost of Renting = $68 × 75 × 25% + ($68 × 75 - Down payment) × (1 + 7.40% × 9/12)

Total Cost of Renting = $1275 + ($5100 - 1273) × (1.0555)

Total Cost of Renting = $1275 + 4037.29

Total Cost of Renting = $5312.29

1/4 > 1. Order the following rational numbers from greatest to least: 25% - 0.17 3 5 1.2 - 12 First convert these numbers to decimal form. Show your work below. You can write on the screen! Next, grab the numbers in the list and place them in order from GREATEST to LEAST!​

Answers

Answer:

1.2, 3/5, 25%, 0.17, -12

Step-by-step explanation:

In order to put these from greatest to least, you must put these in like terms.

Since there are more decimals that other terms, we're going to convert them all to decimals.

25%= 0.25

0.17= 0.17

3/5= 0.60

1.2= 1.20

-12= -12.00

Now that we see which numbers are greater, we convert them back to their original terms and place them in order from greatest to least.

1.2, 3/5, 25%, 0.17, -12

Which expression models the following
phrase: "an hourly wage of $12.75"?

Answers

Answer:

h = number of hours worked

m = total wage of worked hours

12.75h = m

Solve this linear equation
a+b=8
a-b=4

Answers

Answer:

a = 12   b = -4

Step-by-step explanation:

To solve this equation it would be easiest to use the elimination method

a + b = 8

a - b = 4

a = 12

Now all we have to do is substitute 12 for a in any equation. For this I will use the first one.

12 + b = 8

Lastly subtract 12 from both sides

b = -4

Answer:

a = 6 , b = 2

Step-by-step explanation:

a+b - (a-b) = 2b

8 - 4 = 4

2b = 4

b = 4 ÷ 2

b = 2

When b = 2,

a+2 = 8

a = 8 - 2

a = 6

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