Are 5x + 9 - 2x = 12 and 3x = 3 equivalent equations

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

If you simplify the 1st equation,

5x + 9 - 2x = 12

Add like terms

3x + 9 = 12  

Subtract the 9 from both sides

3x = 3

It gives you the same equation as the other one

Answer 2

Answer:

yes they both equal 1

Step-by-step explanation:


Related Questions

if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x

Answers

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.

To the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip?

Answers

Answer: $16.60

Step-by-step explanation:

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

total: 16.60

The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip  $16.60

We have given that,

Carl went out for breakfast.

• The price of his meal was $12.35.

• The sales tax was 7.5% of the price of the meal.

• The tip was 25% of the price of the meal and the sales tax.

We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.

What is the formula for the total money?

Total money=price + tax

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

Total money =16.60

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Find the next two numbers in the following sequence. List the very next missing
number in Blank 1, and then list the second missing number in Blank 2.
1,4, 16, 64, _, _

Answers

Answer:

256,781

Step-by-step explanation:

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]1,4, 16, 64, -,-,[/tex]

So,

[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

To know more about the sequence

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The top of a coin has a radius of 2 cm.
What is the area of the top of the coin?
4π ​cm²
2π ​cm²
4 cm²
2 cm²

Answers

Answer:

I think is 2cm if I’m wrong plz correct me

Step-by-step explanation:

I’m guessing so no work

ASAP-
Can someone please help me with this?

Answers

Answer:

90 I believe  

Step-by-step explanation:

Answer: A or B

Step-by-step explanation: A or B


The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form

Answers

Answer:

11 and -4

Step-by-step explanation:

Let the required two numbers be x and y

If the sum of two numbers is 7, then

x + y = 7 .. 1

If the difference of their squares is 105, then;

x² - y² = 105 ...2

From 1;

x = 7 -  y... 3

Substitute 3 into 2;

(7-y)² - y² = 105

Expand

49-14y+y² -y² = 105

49-14y = 105

-14y = 105 - 49

-14y = 56

y = -56/14

y = -4

Substitute y = -4 into 3

x = 7 -  y... 3

x = 7 - (-4)

x = 7+4

x = 11

Hence the numbers are 11 and -4

can some one please help me? i will give brainlist!
This is a factorable polynominal with GCF:
5x^2y + 6x^2y^3 - 3x^2y^2
what are it's two other equivalent forms?
show how you got the answers so i can better understand how to do it

Answers

x^(2)y (6y^(2)-3y+5)

Find the prime factors of each term in order to find the greatest common factor (GCF).

Brainliest or a thank you please! sorry im wrong :(

Find the value of each trigonometric ratio. Simplify if possible.

Answers

Answer:

15/8

Step-by-step explanation:

opp/adj=30/16=15/8

HALP!!!!!!!!!!!!!!!!!!
If a quadratic function has roots 2 and -7, what are the factors of the function?

Answers

A negative number.......

Find the arc length????????

Answers

Answer:

don't believe the other guy he is a scaming bot don't click the link

Please help I have a lot of other due assignments and I don’t have Time and paper thx:)

Answers

Median: 69

First Quartile: 65.5

Third Quartile: 73

Interquartile Range: 7.5

Step-by-step explanation:

First, put all of the numbers in order.

63, 64, 67, 68, 70, 72, 74, 76.

Median

For the median, it is the center of the data set.

To find the median of this data set, add 68, and 70, then divide by 2.

The Median is 69.

First Quartile

To find the first quartile, find the range below the median (63-68).

Find the median of that range.

Add 64 & 67 together, then divide by 2.

The first quartile = 65.5

Third Quartile

Do the same as the first quartile, but do it with the range above the median (70-76).

Add 72 & 74 together, then divide by 2.

The third quartile = 73.

Interquartile Range

Now, take the first and third quartile, and subtract.

[tex]73-65.5=IR[/tex]

[tex]7.5 = IR[/tex]

The interquartile range is 7.5.

Bought rings at 5$ each and bracelets at 8$ each, he bought 19 total items and spent $131. How many rings and bracelets were bought?

Answers

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

Known for: The invention of the movable-type ...

‎Early life · ‎Printing method with... · ‎Legacy · ‎References

People also ask

Step-by-step explanation:

Convert grams (g) and milligrams (mg) to grams.

Answers

Answer:

1mg= 1000g

Step-by-step explanation:

1000 grams makes up 1miligram

I need help please ?!!!!

Answers

Answer:

multiplication

Step-by-step explanation:

The inverse of division is multiplication

The inverse of addition is subtraction

The inverse of multiplication is division

The inverse of subtraction is division

multiplication!!!!!!! hope this helps

can someone help me on this?

Answers

Answer:

Step-by-step explanation:

Drag each equation to the value that makes it true.

Answers

Answer:

5h=60 needs to go in the last one

Step-by-step explanation:

63/4 divided by 41/2

Answers

Answer:

63/328

Step-by-step explanation:

Find 50% of 152:
Find 25% of 152:
Find 75% of 152:

Answers

I think:
50% of 152 = 76
25% of 152 = 38
75% of 152 = 114

Sorry if im wrong

Answer:

76

38

114

Step-by-step explanation:

50% of 152

= ( 50 / 100 ) x 152

= ( 1 / 2 ) x 152

= 152 / 2

= 76

25% of 152

= ( 25 / 100 ) x 152

= ( 1 / 4 ) x 152

= 152 / 4

= 38

75% of 152

= ( 75 / 100 ) x 152

= ( 3 / 4 ) x 152

= ( 3 x 152 ) / 4

= 3 x 38

= 114

I need help figuring out the input and output and I have been struggling with it so muchh!!

Answers

Answer:

4=4

5=9

Step-by-step explanation:

Find the median of the data in the dot plot below.

Answers

Answer:

The answer is 25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

25

Step-by-step explanation:

All the data values from least to greatest:

20, 23, 23, 25, 25, 27, 27, 27, 28

Since the data values are odd, the middle value is the median:

25

Choose all the equations for which x=3 is a solution

Answers

A and D

A= 3+1=4

D=4*3=12

A I think sorry if I'm wrong have a nice day

Hay 12 canicas en una bolsa y 6
de ellas son verdes. Si se elige
una canica, ¿cuál es la
probabilidad de que sea verde?

Answers

Answer:

50%.

Step-by-step explanation:

Dado que hay 12 canicas en una bolsa y 6 de ellas son verdes, para determinar la probabilidad de que si se elige una canica al azar, esta sea verde, se debe realizar el siguiente cálculo:

6 / 12 = X

0.5 = X

0.5 = 50/100

50/100 = 50%

Así, hay un 50% de probabilidades de que, eligiendo una canica al azar dentro de la bolsa, la canica elegida sea verde.

Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation

Answers

Answer:

2, 1 and -3

Step-by-step explanation:

Given the quadratic expression

x^2+2x = 3

Write in standard format

x^2+2x-3 = 0

Get the value of a, b and c

The standard form is ax^2+bx+c = 0

ax^2 = x^2

a = 1

bx = 2x

b = 2

c = -3

Substitute into the general formula

x = -b±√b²-4ac/2a

x = -2±√(2)² - 4(1)(-3)/2(1)

The correct values are the values in bold format

Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 3.470 ​in., and use a class width of 0.010 in. The screws were labeled as having a length of 3 1/2 in

Answers

Answer:

Answer:

A) Total frequency = 30

B) Yes, the distribution is consistent with the label because the frequencies are greatest when the lengths are closest to the labeled size of 1/2 inches which is 0.5 inches.

Step-by-step explanation:

Since the class limit width is 0.010 from the question, we arrive at;

Class Limits Frequency

Length(Inches)

0.470 - 0.479 3

0.480 - 0. 489 5

0.490 - 0.499 9

0.500 - 0.509 12

0.510 - 0.519 1

Following is the frequency distribution table:

How to build a frequency table?

The lower limit is given as 3.470 inches.

The upper limit is 3.500 inches.

And the width of each class is 0.010 inches.

Therefore, the intervals will be:

3.470-3.480

3.480-3.490

3.490-3.500

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I need help please? :(

Answers

Answer:

C

Step-by-step explanation:

Orphia bought a coffee table for $200. The sales tax on the purchase was $19. Find the sales tax rate (in %).

Answers

Answer:

9.5%

Step-by-step explanation:

19/200=.095 or 9.5%

The brick fire ring measures sixteen feet across the center. What is the circumference of the fire ring to
the nearest tenth?
Plan:
Calculations:

Answers

Answer:

50.3 ft

Step-by-step explanation:

circumference = 2nr

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 16/2 = 8

2 x 22/7 x 8 = 50.3ft

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

12+98=
really confused on this one

Answers

Answer:

12+98=110

Step-by-step explanation:

Help pls! I need help to finish :(
No Links!

Answers

the answer is 7.5.
7 4/8 is also 7.5

help pls
750000 + 4000 x 4%

Answers

750000+4000 x 4% is 750160

Answer:

750160 ez

Step-by-step explanation:

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