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Answer:

The least common multiple of 12 and 18 is 36. The greatest common divisor of 12 and 18 is 6.

The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is 42

We have to given that,

To find sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18.

Since, Factors of 12 and 18 are,

12 = 2 x 2 x 3

18 = 2 x 3 x 3

Hence, The least common multiple of 12 and 18 = 2 x 3 x 2 x 3 = 36

And, The greatest common divisor of 12 and 18 = 2 x 3 = 6

So, The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is,

36 + 6

42

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Answer:

the answer is 156 meters

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Answer:

The answer is a^n+2n+8a^2n-a^2n-14a^n-48.

Step-by-step explanation:

1. Use the distributive property.

2. Remove the parenthesis.

3. Collect like terms.

Hope this helps and if you could mark me as brainliest. Thanks!

The factored form of  (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).

In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.

∴  (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

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Answer:

Step-by-step explanation:

You get the slope right away, just by reading it.

y = 1/4 x + b

To solve for b, you use the point 4,5

5 = 1/4 * 4 + b       Substitute 4 for x

5 = 1 + b                Subtract 1 from both sides

5-1 = 1-1 + b

b = 4

The line is y = 1/4 x + 4  

Answer:

101+102+103+104+105= 515

Step-by-step explanation:

the fifth number is counting by 5 each time so you can just count by 5s till you reach 21: 5 (1),10 (2),15 (3),20 (4),25 (5) and so on then once you reach 21 which is 105 you count back from 105 to find the first number then add them all together. This is a simple non-equation solution, I'm sure if I sat there for more than 2 minutes I could think of an equation but it's easier this way, and the problem doesn't require it.

Answer:

The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.

First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.

Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.

Finally, we know <2 is equal to <7 because of the transitive property.

Answer:

Here's the sample response!!

Step-by-step explanation:

Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.

Given:

Two points are (6, 7) and I(-7,-6).

Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl.

John says that point G is located at the origin.

To find:

Whether John is correct or not.

Solution:

Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl. I means point G is the midpoint of HI.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]G=\left(\dfrac{6-7}{2},\dfrac{7-6}{2}\right)[/tex]

[tex]G=\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex]

The location of point G is at [tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex], which is not equal to origin, i.e., (0,0).

Therefore, John is incorrect.

Answer:

standard form: Ax + By = C

Slope-intercept form: y=mx+b

where m is the slope and b is the y intercept.

first lets put this into intercept form:

y=-5x+b

(4, 0) is the x intercept.)

To find what b is plug in the point 4, 0 for the x and y of the equation:

0=-5(4)+b

0=-20+b

20=b

b=20

Now that we have the slope, m, and the y intercept, b, we can make our equation

y=-5x+20

Now we need to transform this equation into standard form like so:

y=-5x+20

5x+y=20 - this is your answer

Step-by-step explanation:

Answer:

[tex]\bold{\dfrac{63}{32}\ sq\ inches}[/tex]

Step-by-step explanation:

Given that:

Width of stamp = [tex]\frac{7}{8}[/tex] inches

Length of stamp = [tex]\frac{3}{4}[/tex] inches

It is well known that a stamp is in the form of a rectangular shape.

Area of a rectangular shape is given by the following formula:

[tex]Area = Width\times Length[/tex]

Also, there are 3 identical stamps on the envelop, therefore we need to find the area of one stamp and then multiply it with 3 to find the required area.

Required area:

[tex]3\times \dfrac{7}{8}\times \dfrac{3}{4}\\\Rightarrow \bold{\dfrac{63}{32}\ sq\ inches}[/tex]

Answer:

11

Step-by-step explanation:

Here,

11 is the nth term as it is the last term shown in the sequence

Answer:

1) +80

2) -1520

Step-by-step explanation:

Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.

Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.

1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.

2) We are told that A car corporation produced 1520 fewer cars this month than last.

Thus, the signed number will be negative since there is a decrease in number of cars.

Thus, signed number = -1520

You're right; the answer is the first choice.

Answer:

first option ,  $57.6

Step-by-step explanation:

$80 x 0.20 = $16

$80 - $16 = $64

$64 x 0.10 = $6.4

$64 - $6.4 = $57.6

above solution is the exact steps on the first option.

therefore the final price of the jacket is $57.6

Answer:

x can be divided by 2,3,4,5,6

2 can be divided by 4, so is 3 to 6

so simply x can be divided by 4,5,6

4*5*6=120

Step-by-step explanation:

Answer: it has no solutions

Step-by-step explanation:

Factor then solve to find the complex solutions.

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

[tex]-4x+9 = 2x+10[/tex]

Apply subtraction property by subtracting 2x from both sides

[tex]-4x-2x+9 = 2x-2x+10[/tex]

[tex]-6x+9 = 10[/tex]

Notice that the above equation is represented in step 3.

Hence, option A answers the question.

A. the subtraction property of equality

Answer:

B:

Step-by-step explanation:

A pool is filled (which signifies the increase) a little time later (still full, flat line) it is emptied (the decrease) and then refilled (increase)

Answer:

x = 7, y = -2

Step-by-step explanation:

hey i assume those are two different equations

(x + 3y = 1) 3

-3x - 3y = -15

3x  + 9y =  3

add both equations in elimination method

6y = -12, y = -2

x + 3(-2) = 1

x + -6 = 1, x = 7

Answer:

i can't understant the question

Step-by-step explanation:

Answer:

question is incomplete . to find x value thaf must be a equation but its a simple algebric expression only so inappropriate question

Awnser:

x2+2x−8=0

2cos(x)−1=0

cos(x)=−cos(x)+√3

Step-by-step explanation:

hope that helped

Answer:

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

Answer:

Next 3 terms: 17, -31, 65

3 terms before -7: 2, -1, 5

Step-by-step explanation:

Fourth term in the sequence = -7

Rule for finding the next term:

[tex]a_n=-2\times a_{n-1}+3[/tex]

Therefore, the fifth term:

[tex]a_5=-2\times a_4+3\\\Rightarrow a_5=-2\times -7+3\\\Rightarrow \bold{a_5=17}[/tex]

Sixth term:

[tex]a_6=-2\times a_5+3\\\Rightarrow a_6=-2\times 17+3\\\Rightarrow \bold{a_6=-31}[/tex]

Seventh term:

[tex]a_7=-2\times a_6+3\\\Rightarrow a_7=-2\times -31+3\\\Rightarrow \bold{a_7=65}[/tex]

Let the three terms that came before -7 be: [tex]x, y, z[/tex]

As per question statement:

[tex]a_n=-2\times a_{n-1}+3[/tex]

[tex]-7 = -2\times z+3\\\Rightarrow -2z=-10\\\Rightarrow z=5[/tex]

Again applying the given rule:

[tex]5 = -2\times y+3\\\Rightarrow y =-1[/tex]

Again applying the given rule:

[tex]-1 = -2\times x+3\\\Rightarrow x =2[/tex]

Therefore the 3 terms before -7 are:

2, -1, 5

Answer:

-2

Hope this helps,

PumpkinSpice1

The slope of the line will be ( -1 / 2 ). The correct option is C.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 0 - 3 ) / ( 6 - 0 )

Slope = -3 / 6 = -1 / 2

Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.

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Answer:

40%

Step-by-step explanation:

Answer: 40%

Step-by-step explanation: if you add all the students answers you get 30

then take the strawberry students that is 12 divide it 12/30 and you get .4 then multiply by 100 and you get 40%

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

[tex] \theta = 20 [/tex]

Thus,

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(20) = \frac{87}{a} [/tex]

Multiply both sides by a

[tex] tan(20) \times a = \frac{87}{a} \times a [/tex]

[tex] tan(20) \times a = 87 [/tex]

Divide both sides by tan(20)

[tex] \frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)} [/tex]

[tex] a = \frac{87}{tan(20)} [/tex]

[tex] a = 239.03 [/tex]

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

[tex] \theta = 57 [/tex]

Thus,

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(57) = \frac{87}{b} [/tex]

Multiply both sides by b

[tex] tan(57) \times b = \frac{87}{b} \times b [/tex]

[tex] tan(57) \times b = 87 [/tex]

Divide both sides by tan(57)

[tex] \frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)} [/tex]

[tex] b = \frac{87}{tan(57)} [/tex]

[tex] b = 56.50 [/tex]

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

Answer:

The answer is 15/19

Step-by-step explanation:

Both 60 and 76 are divisible by 4:

60/4 = 15 and 76/4 = 19

Final answer; 15/19

The probability of each outcome in the sample space is 1/20

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

Total number of students:

n(S) = 5

The probability of selecting one student would be,

P(A) = 1/5

Now, there are 4 students.

n(S) = 4

So, probability of selecting second student from remaining 4.

P(B) = 1/4

Hence, the probability of each outcome in the sample space would be,

1/5 × 1/4  = 1/20

Therefore, the probability of each outcome in the sample space is 1/20

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