The equations below has been solved. What properties were used to justify how this equation
was solved? Fill in the appropriate property of equality on the line provided. Addition(APE),
Subtraction(SPE), Multiplication(MPE), and Division(DPE)

The answer you are looking for is 1/5(a+34).

Solution/Explanation:

"Of"="multiplication (x)."

So, therefore, write it like this, to get the better picture and visualization,

1/5 times the sum of a number "a" and "34."

"Sum" obviously is related to "addition."

So, therefore, we can simplify the algebraic expression a little bit more,

1/5 times (a+34).

Now, we can finally write it like this.

1/5x(a+34).

The more proper way to write it, however is like this:

1/5(a+34).

So, therefore, the final answer is 1/5(a+34).

I hope that this has helped you. Enjoy your day, and take care!

The given statement is required in the form of an algebraic expression.

The statement is a fifth of the sum of number a and 34.

The sum means addition

So, the sum is [tex]a+34[/tex]

The statement states a fifth of which, means multiplied by [tex]\dfrac{1}{5}[/tex]

The algebraic expression will be the product of [tex]\dfrac{1}{5}[/tex] and [tex](a+34)[/tex]

The algebraic expression is [tex]\dfrac{1}{5}(a+34)[/tex]

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Answer:

John will run out of toner cartridges first

Step-by-step explanation:

First, find how many sheets he can print with the 3 toner cartridges:

3(2000)

= 6000 sheets of paper

Find how many sheets of paper he has:

15(500)

= 7500 sheets of paper

Since 6000 is less than 7500, John will run out of toner cartridges first.

Answer:

I think the answer is (0)

Step-by-step explanation:

I am not sure about this

Answer: m=6

Step-by-step explanation:

Take the inequality 50m + 11 < 75m + 25 and replace the m with (6).

This makes 50(6) + 100 < 75(6) +25. Multiply on each side.

The result is 300 + 100 < 450 + 25 which is the same as 400 < 475.

Brainliest please?

Answer:

2/3

I hope this helps!! :)

Answer:

3x² + 2x -16

Step-by-step explanation:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

The expanded form of the trinomial (3x+8)(x-2) is 3x² + 2x -16

To expand the trinomial (3x+8)(x-2), we can use the distributive property.

First, we multiply the first terms of each binomial: 3x * x = 3x^2.

Next, we multiply the outer terms: 3x * -2 = -6x.

Then, we multiply the inner terms: 8 * x = 8x.

Finally, we multiply the last terms of each binomial: 8 * -2 = -16.

Putting it all together, we have:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

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Answer:

Hi, there!

Lines of latitude are also called parallels because they never touch one another.

Step-by-step explanation

Circles of latitude are often called parallels because they are parallel to each other; that is, planes that contain any of these circles never intersect each other:

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If we do 8:35 + 40 mins it equals to 9:15

So then we have to add 5 hours to equal to 2:15 :D

Answer:

-2 degrees per hour

Step-by-step explanation:

Rate of change = -3 1/2 / 1 3/4

= -7/2 / 7/4

= -7/2 * 4/7

= -28/14

= - 2

Answer:

Explanation

Step-by-step explanation:

Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.

The two straight lines are parallel and the co-position angles are equal, ∠2 =∠6

An angle is formed when two straight lines as well as rays meet at a single endpoint. The point where two points converge is known as an angle's vertex. The term "angle" comes from the Latin word "angulus," that also means "corner."

Vertex: A vertex is a corner of an angle or the intersection of two lines or sides.
Arms: The angle's two sides joined at a single end.
Initial Side: A straight line from which an angle is drawn is referred to as the reference line as well.
The side that the angle measurement is done up to is known as the terminal side.

Acute angles have a vertex angle that is less than 90 degrees.
Obtuse angles range from 90° to 180°.
At its vertex, a right angle has an exact measurement of 90°.
A straight angle is one that is 180° in length.
Reflex angles range from 180° to 360°.
A 360° angle is a full circle.

Solution:

The third straight line intersects the two parallel lines, creating angles 2 and 6.
∴ ∠2 and ∠6 are on the same side of the section line, and on the same side of the truncated parallel line.
∴ ∠2 and ∠6 are co-positions angles.
∴ ∠2 =∠6

Theorem :
The two straight lines are parallel and the co-position angles are equal.

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Answer:

19

Step-by-step explanation:

g(x) = x^2 +3

substituing x for 4,

g(4) = 4^2 + 3

g(4) = 16 + 3

g(4) = 19

Answer:

25% increase

Step-by-step explanation:

= [tex]\frac{150-120}{120}[/tex] x 100

= [tex]\frac{30}{120}[/tex] x 100

= 0.25 x 100

= 25% increase

Answer:

12 Points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sin² x - Cos² x  = (1 - Cos² x ) - Cos² x                {Sin² x + Cos² x = 1}

                          = 1 - 2Cos² x

                         = - (2Cos x -1)

                          [tex]= -(\dfrac{2}{Sec^{2} x} - 1)\\\\=-(\dfrac{ 2}{Sec^{2} \ x}-\dfrac{Sec^{2} \ x}{Sec^{2} \ x})\\\\=-(\dfrac{2-Sec^{2} \ x}{Sec^{2} \ x})\\\\=\dfrac{2-Sec^{2} \ x }{-Sec^{2} \ x}[/tex]

                          Hence proved

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

Answer:

subtraction property of equality

2x +2 - 2 = 10 - 2

Answer:

infinite number of solutions

Step-by-step explanation:

-12x - 2y = -4.

add 12x on both sides

-2y = 12x -4.

divide by -2

y = -6x + 2

Answer: D. Infinite number of solutions.

Step-by-step explanation: On Edge!

Answer:

horizontal line

Step-by-step explanation:

Gradient is the slope of points

therefore,

[tex]gradient(m) = \frac{ - 2 - 4}{ - 1 - ( - 4)} \\ = \frac{ - 6}{3} \\ = - 2[/tex]

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

Answer:

I can't really see anything in here could you make the photo up close. Please thanks, I really want to help you :)))

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

show your work

Answer:

5(n+7) = 8

Step-by-step explanation:

this is the equation you are look for if its the value of n it would be -27/5

Answer:

Step-by-step explanation:

5(x + 7) = 8

x + 7 = 8/5

x = 8/5 - 7 = -27/5 = -5.4

Answer:

what is this lol can u tell u

Answer: no

Step-by-step explanation: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

you have to substitute the value of the variables then solve

Answer:

RS = 17

Step-by-step explanation:

QS = 62

RS = ?

QR = 45

QS - QR = RS

62 - 45 = 17

Thus RS = 17

Answer:

2x+2

Step-by-step explanation:

(x+1)(x+2)=0

Because it has the same i think you can just put the x's to together and make it 2x and multiply the 1x2 and that equals 2 so i think its 2x+2 maybe it could be 2x+3 or 2x*3 or 2x*2 but im pretty sure its 2x+2it makes sense because both of the x's are in the front of the + and the 1 and 2 are in the back

Answer:

7b(a+2)

Step-by-step explanation:

First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.

Then find the variable both terms share.

Put the GCF coeffiecnt and the variable both terms share outside the parentheses.

Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.

For example, 7ab+14b.

Set up equation.

[tex]7ab + 14b[/tex]

Both terms share a b variable and 7 and 14 GCF is 7 so

let factor out 7b.

[tex]7b(a + 2)[/tex]

Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get

[tex]a + 2[/tex]

Answer:

ok i hops help u

Step-by-step explanation:

The answer to 63 divided by 21 can also be written as a mixed fraction as follows: 3 0/21 Note that the numerator in the fraction above is the remainder and the denominator is the divisor. How to calculate 63 divided by 22 using long division

What is 6114 Divided by 63?

We provide you with the result of the division 6114 by 63 straightaway:

6114 divided by 63 = 97.047619

The result of 6114/63 is a non-terminating, repeating decimal.

The repeating pattern above, 047619, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 6114/63 = 97.(047619): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 6114 / 63 = 97.047619… .

6114 divided by 63 in decimal = 97.047619

6114 divided by 63 in fraction = 6114/63

6114 divided by 63 in percentage = 9704.76190476%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 6114 and 63, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 6114, and the denominator, e.g. 63, have been inserted.

What is the Quotient and Remainder of 6114 Divided by 63?

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 6114 divided by 63 = 97 R 3

The quotient (integer division) of 6114/63 equals 97; the remainder (“left over”) is 3.

6114 is the dividend, and 63 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of six thousand, one hundred and fourteen over sixty-three, followed by the summary of our information.

Six Thousand, One Hundred And Fourteen Divided by Sixty-Three

You already know what 6114 / 63 is, but you may also be interested in learning what other visitors have been searching for when coming to this page.

The FAQs include, for example:

What is 6114 divided by 63?

How much is 6114 divided by 63?

What does 6114 divided by 63 equal?

If you have read our article up to this line, then we take it for granted that you can answer these FAQs and similar questions about the ratio of 6114 and 63.

Further information, such as how to solve the division of six thousand, one hundred and fourteen by sixty-three, can be found in our article Divided by, along with links to further readings.

Conclusion

To sum up, 6114/63 = 97.(047619). The indefinitely repeating sequence of this decimal is 047619.

As division with remainder the result of 6114 ÷ 63 = 97 R 3.

Answer:

4x^2 -12x +9

now

4 x 9 = 36

first take out the LCM of 36

it will be

2 x 2 x 3 x 3

4x^2 -6x -6x +9

2x(2x-3) -3(2x-3)

(2x-3)(2x-3)

it is showing that

2x-3 is the length for part A