gcf of 15 and 18 and -45

Answers

Answer 1

Answer: 3

Step-by-step explanation:

Factor of 15: ±1, ±3, ±5, ±15
Factor of 18: ±1, ±2, ±3, ±6, ±9, ±18
Factor of -45: ±1, ±3, ±5, ±9, ±45
=> GCF of 15, 18, -45 is 3


Related Questions



The population of a town is 20,000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13 2007

Answers

In 5 years the population will be fewer than 13000.

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value showing hundredth parts of any amount, is a relative measure that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified percentage.

20000( 1 - 9% )^5

≈ 12481

12481 < 13000

ie 5 years

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What is the perimeter?
Help plz...And No links!!I repeat No links!!

Answers

Answer:

36 units

Step-by-step explanation:

First calculate the length of side a.  Using the Pythagorean Theorem, we find that 15^2 = 12^2 + x^2, or 225 - 144 = x^2.  Thus, x^2 = 81 and the length of side a is √81, or 9, units.

Then the perimeter is the sum of all three side lengths:

15 + 9 + 12 = 36 units

what is the volume of this rectangular prism? (answer the picture)​

Answers

Answer:

20.7 yd(rounded)

21 yd (exact)

Step-by-step explanation:

Since it goes 7 wide, do 7 x1/3 = 2.3 The 1/3rd comes from measurement given.

The length is 3 x 1/3 = 1 yd., so each level is 2.3 (repeating).

Since the height is 9, 9x2.3  = 20.7 yds (rounded)

If you want to be exact, 2.3333333333 x 9 = 21 (exact)

ummm help ig please................

Answers

Answer:

Cost of 500 g of standard pack = € 7.50

Cost of 1 g of standard pack = 7.50/500

Cost of 100 g of standard pack = 7.50/500 ×100

= 7.50/5

= € 1.50

Hope it helps uh dear

john is 7 years younger than jane. the sum of their age is 10 years ago was 55 years. how old are they now

Answers

Answer: John is 29 years old and Jane is 36 years old.

Step-by-step explanation:

There are many parts to this problem, so let's start by defining John as x and Jane as y.

We know that the sum of their age 10 years ago was 55, which gives us x+y-10=55. The reason we put -10 is because of 10 years ago. If you think about it in terms of now, 10 years back is 55, so now they would be 65 years old. So we can have either x+y-10=55 or x+y=65. For simplicity, I will use x+y=65.

We also know that John is 7 years younger than Jane, which gives x=y-7.

Luckily, we have x defined for us, so we can directly substitute that into our equation.

[tex](y-7)+y=65[/tex]         [combine like terms]

[tex]2y-7=65[/tex]                [add both sides by 7]

[tex]2y=72[/tex]                      [divide both sides by 2]

[tex]y=36[/tex]

Now we know that y=36, we can plug that into either equations to find x.

[tex]x+36=65[/tex]                [subtract both sides by 36]

[tex]x=29[/tex]

This concludes that John is 29 years old and Jane is 36 years old.

Please awnswer the question below

Answers

Answer:

- ANTIFRAGILE -

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

가시밭길 위로 riding, you made me boost up (ah-ah-ah-ah)

거짓으로 가득 찬 party 가렵지도 않아

내 뒤에 말들이 많아, 나도 첨 듣는 내 rival

모두 기도해 내 falling 그 손 위로 I'ma jump in

Yes, gimme that

걸어봐 위엄 like a lion

눈빛엔 거대한 desire (nan-na-na-eh)

더 부어 gasoline on fire

불길 속에 다시 날아 rising (nan-na-na-eh)

잊지 마, 내가 두고 온 toe shoes

무슨 말이 더 필요해?

무시 마, 내가 걸어온 커리어

I go to ride 'til I die, die

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

Lovey, lovey, lovey

Dovey, dovey, dovey

멋대로 정하네 나란 애에 대해

I don't know what to say, I can't feel it

뜨거운 관심은 환영, 귀여운 질투는 go ahead

줄 달린 인형은 no thanks 내 미랠 쓸 나의 노래

Yeah, gimme that

걸어봐 위엄 like a lion

눈빛엔 거대한 desire (nan-na-na-eh)

더 부어 gasoline on fire

불길 속에 다시 날아 rising (nan-na-na-eh)

잊지 마, 내가 두고 온 toe shoes

무슨 말이 더 필요해?

무시 마, 내가 걸어온 커리어

I go to ride 'til I die, die

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

We can break it baby

Rock it, twist it, lock it baby

All I know is you can't chain me

'Cause I'm gonna break out

Gonna, gonna break out, out

We can break it baby

Rock it, twist it, lock it baby

All I know is you can't chain me

'Cause I'm gonna break out

Gonna, gonna break out, out (whoa-uh-oh-oh!)

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

- song by Le Sserafim

- song title : anti fragile

- stan Le Ssefarim for a better life <3

xoxo

Step-by-step explanation:

What is the quotient of 1. 782 x 109 and 8. 1 x 106 expressed in scientific

notation?

Answers

The quotient of 1.782 × 10⁹ and 8.1 × 10⁶ in scientific notation is 2.2 × 10². The result is obtained by using the quotient rule.

What are the rules for exponents?

Several rules for exponents are

Product rule → aⁿ × aˣ = aⁿ⁺ˣQuotient rule → aⁿ / aˣ = aⁿ⁻ˣPower of a product rule → (ab)ⁿ = aⁿ × bⁿPower of a quotient rule → (a/b)ⁿ = aⁿ / bⁿPower of a power rule → (aⁿ)ˣ = aⁿˣZero rule → a⁰ = 1

Find the quotient of 1.782 × 10⁹ and 8.1 × 10⁶!

Dividing the first number by the second using the quotient rule, it would be

= (1.782 × 10⁹) / (8.1 × 10⁶)

= (1.782/8.1) × (10⁹/10⁶)

= 0.22 × 10⁹⁻⁶

= 0.22 × 10³

In scientific notation, we should write a.b × 10ⁿ, where 1 ≤ a < 10 and n is an integer.

So,

0.22 × 10³ = 2.2 × 10²

Hence, the result of 1.782 × 10⁹ divided by 8.1 × 10⁶ in scientific notation is 2.2 × 10².

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dentify the relationship between angles x and y

Answers

the x & y angles are alternate angles.

What is alternate angles?

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

Here, we have,

from the given figure , we get,

the x & y angles are alternate angles.

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Using the clues below, what is the value of the bigger number?

Clue 1: The sum of two numbers is ten.
Clue 2: The difference of the numbers is two.

Answers

Answer:

6

Step-by-step explanation:

Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6

What value of n makes the equation true? Show your work.

Answers

Answer:

n=13

Step-by-step explanation:

When multiplying two numbers with the same base, add the exponents

[tex]8^{9} *8^{4} =8^{13}[/tex]

When dividing two numbers with the same base, subtract the exponents[tex]\frac{(8^{n})^{3}}{8^{2} } =(8^{n})^{3-2}=(8^{n})^{1}=8^{n}[/tex]

So

[tex]8^{13} =8^{n}[/tex]

The bases are the same, so you can cancel them

13=n

n=13

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Step-by-step explanation:

[tex] {x}^{2} + 3x - 5 = 0[/tex]

a =1. b = 3. c = -5

Quadratic equation

[tex]x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 \: + \sqrt{ {3}^{2} \: - 4(1)( - 5) } }{2} \\ = \frac{ - 3 \: + \: \sqrt{29} }{2} [/tex]

Note: the plus sign in the quadratic equation should read "+-"

Therefore, the roots of the quadratic equation are

[tex]\frac{ - 3 \: + \: \sqrt{29} }{2} \: \: and \: \: \frac{ - 3 \: - \: \sqrt{29} }{2} [/tex]

Use a calculator to simplify: N (-8 - 92.5) / -32 ​

Answers

Answer:

3.14

Step-by-step explanation:

-8 - 92.5 = -100.5, and then -100.5/(-32) = 3.14

Alternatively, type in (-8 -92.5)/(-32)

1) The sum of two numbers is 6. If one number is subtracted from the other, their difference is 4. Find the
numbers.

Answers

Answer:

One number is 5 and the other is 1.

Step-by-step explanation:

Let the numbers be x and y.  Then x + y = 6 and x - y = 4.  We must solve this system of equations:

x + y = 6

x - y = 4

Combining these equations temporarily eliminates y:

x + y = 6

x - y = 4

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

2x     = 10

Then x = 5.  Since x - y = 4,

5 - y = 4

and so y must be 1.

The solution is (5, 1).  One number is 5 and the other is 1.

The auditorium seated 375, but this was enough for only 30% of those who wanted a seat. How many wanted a seat but couldn't get one?

Answers

Answer: 875 people

Step-by-step explanation:

The 375 people seated represent 30% of the total number of people who wanted seats but these ones got them.

This means that the number of people who wanted seats is 70% of the number of people who wanted seats.

Assume the number of people who wanted seats is x:

30% * x = 375

x = 375 / 30%

x = 1,250 people wanted seats.

Those who wanted seats but couldn't get:

= 1,250 * 70%

= 875 people

How do I do this function stuff I’m been kinda confused

Answers

Explanation:

When solving a function, you plug in the given [tex]x[/tex]-value (what's inside the parentheses next to the [tex]g[/tex] or [tex]f[/tex]) into the corresponding equation (what [tex]f(x)[/tex] and [tex]g(x)[/tex] are set equal to).

Before starting the worksheet, take a simpler example:

Given the function [tex]h(x) = x + 2[/tex],

the following work solves for [tex]h(3)[/tex].

[tex]h(3) = 3 + 2[/tex]

[tex]h(3) = 5[/tex]

Essentially, to solve for the value of a function for a given [tex]x[/tex]-value, simply plug in that value in for [tex]x[/tex] and simplify the resulting expression.

Onto problem 14 from the given worksheet:

We are given [tex]f(x) = 3x + 2[/tex] and are asked to solve for [tex]f(4)[/tex].

Hence, all we have to do is plug [tex]4[/tex] in for [tex]x[/tex]:

[tex]f(4) = 3(4) + 2[/tex]

[tex]f(4) = 12 + 2[/tex]

[tex]f(4) = 14[/tex]

You can apply this concept to the rest of the problems.

Perform the indicated operation. Be sure the answer is reduced.

Answers

Answer:

It's the middle option

Step-by-step explanation:

9.

Choose the linear inequality that describes the graph. The gray area represents the shaded region.


A. 4x – y ≥ 4

B. 4x + y < 4

C. 4x + y > 4

D. 4x + y ≥ 4

Answers

Answer:

D. 4x + y ≥ 4

Step-by-step explanation:

A construction company plans to lean a 15ft ladder against a building from 7ft away. How far up the building will if reach?

Answers

Answer:

8 Feet

Step-by-step explanation:

15 feet subtract 7 feet is 8 feet

—PLEASE HELP QUESTION IS IN THE PIC—

Answers

Answer:

I'm pretty sure the answer is B.

Step-by-step explanation:

so you multiply 3x4 and get 12. Then you multiply 5x11 and get 55. last but not least multiply 12 and 55 and get 660 so yeah hope it helps

What percent of Greg’s gym attendance falls above a 90?

Answers

Answer:

100

Step-by-step explanation:

hope this helps

100 is the answer to you question

HELP HELP HELP HELP
Emily purchased a television that is priced at $155.75. If the sales tax rate is 4% what will be the amount of sales tax on Emily's purchase?

Answers

Answer:

$6.23

Hope this helps! :)

4% of $155.75 would be $6.23

What are examples of perfect square Trinomials?

Answers

Example of perfect square trinomial is: x² + 6x + 9 it is expressed as

(x + 3)²

What is trinomial?

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Example:

  x² + 6x + 9

= x² + 3x + 3x + 9

= (x +3) (x + 3)

= (x + 3)²

so, this is a perfect square trinomial.

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Triangle DEF was dilated according to the rule DO,One-third(x,y)(one-third x, one-third y) to create similar triangle D'E'F'.

On a coordinate plane, (0, 0) is the center of dilation. Triangle F D E is dilated to create smaller triangle F prime D prime E prime. Triangle F D E has points (negative 9, 3), (negative 9, 9), (negative 6, 6). Triangle F prime D prime E prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).

Which statements are true? Select three options.

∠F corresponds to ∠F'.
Segment EE' is parallel to segment FF'.
The distance from point D' to the origin is One-third the distance of point D to the origin.
The measure of ∠E' is One-third the measure of ∠E.
△DEF △D'E'F'

Answers

A. ∠F corresponds to ∠F' is True.

B. Segment EE' is parallel to segment FF' is False.

C. The distance from point D' to the origin is One-third the distance of point D to the origin is True.

D. The measure of ∠E' is One-third the measure of ∠E is False.

E. △DEF ~ △D'E'F' is True.

What is Dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given:

As triangle DEF was dilated according to the rule DO, One-third(x, y)(one-third x, one-third y) to create similar triangle D'E'F'.

and, The center of dilation = (0, 0)

Also, Triangle FDE has points: (- 9, 3), (- 9, 9), (- 6, 6).

Triangle F'D'E' has points : (- 3, 1), (- 3, 3), (- 2, 2)

A) ∠F corresponds to ∠F'. ( True)

B) Segment EE' is parallel to segment FF'. (False)

As they intersect each other at the origin.

C) The distance from point D' to the origin is One-third the distance of point D to the origin.    ( True)

Now, the length of DE

D = √(-9-0)² + (-9-0)²

D = 9√2

and, length of D'E'

D = √(-3-0)² + (-3-0)²

D = 3√2

Thus, DE / D'E' =  3√2/  9√2 = 1/3

D) The measure of ∠E' is One-third the measure of ∠E. ( False)

E)  △DEF ~ △D'E'F'.  ( True)

As they are similar triangles.

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Answer:

A. ∠F corresponds to ∠F'.

C. The distance from point D' to the origin is 1/3 the distance of point D to the origin.

E. △DEF ~△D'E'F'

Step-by-step explanation:

got it right on edge 23

Please help with this question

Answers

Answer:

92°

Step-by-step explanation:

We can say that the angle that is of x degrees is an inscribed angle because its vertex is on the circle and its sides are made up of rays. When you have an inscribes angle, it measures exactly half the angle it intercepts. In this case that angle is 184°. So, because of this we can say:

x = 184° / 2

x = 92°


A cross-shaped pattern is made by arranging four identical rectangles
around the sides of a square, as shown in the diagram.
The area of the square is 36 cm2.
The area of each rectangle is one and a third times the
area of the square.
Find the perimeter of the cross-shaped pattern.
Show your working and state the units of your answer.

Answers

Answer:

88 cm^2

Step-by-step explanation:

one rectangle = perimeter of 28 and times 4 equals 112 but you have to subtract 24 the perimeter of the square  and get your answer

A worker earned a 2% increase in her annual salary for each of 4 years. She plans to continue working in her position for an additional n years. If she continues to earn a 2% increase in her annual salary, which statement describes the expression that can be used to calculate the total percent increase in her annual salary from the first year to the last year? A The expression 1.02(4n) can be used because (1.0244)" = 1.02(An). The expression 1.02(4n) can be used because 1.024 x 1.02” = 1.02(4n). The expression 1.02(4+n) can be used because 1.024 x 1.02n = 1.02(4+n). The expression 1.02(4+n) can be used because 1.024 +1.02” = 1.02(4+n). B D​

Answers

She plans to continue working in her position for an ... years. If she continues to earn a 2% increase in her annual ... The expression 1.02^(4+n) can be used because 1.02^4 ...


Sorryyyyyyyyyyyy this all I knowwwwwww

Pete borrowed $400 for one year. He paid back a total of $440. What was the interest rate per year?

Answers

the interest rate per year is 10% because he had to pay back 40 more than he borrowed.

440-400=40
40 is 10% of 400 which is what he borrowed.
400 divided by 10 = 40

What is the modulus of 2 - 3i?
Oi
O √√√5
O
1-√√5
O√13

Answers

The modulus of 2 - 3i is √13. So, the correct option is d.

What is modulus?

Modulus is a mathematical operation used to find the remainder when dividing two numbers. This is called a percent sign (%) and is represented by a single number such as 12. Used to determine if two numbers are divisible (no remainder). You can also use the modulus to compare two numbers to see which is greater or lesser. Additionally, this module can be used to calculate the distance between two points on the coordinate plane.

It is computed by taking the square root of the sum of the squares of the real and imaginary components, so √(2^2 + (-3)^2) = √13. The modulus of a complex number, also called absolute value, is a measure of distance from the origin.

Let z = -2 - 3i

z = (-2) + (-3)i

Modulus of z = √((-2)² + (-3)²)

√(4 + 9) = √13

Modulus of z = √13

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How do you find the ordered pair?

Answers

On a Cartesian (or "coordinate") plane in which  each point is represented by an ordered pair (x , y) belongs to  x coordinate  , y coordinate .

An ordered pair is a set of numbers in which it gives the location of a point on a coordinate plane.

The ordered pair is always expressed exactly the same way (x , y).

The first number  in an ordered pair represents the x coordinate on the plane while the second number in an ordered pair  represents the y coordinate.

The x-coordinate shoes that  how far away the point is horizontally from the x-axis.

The y-coordinate shows that  how far away the point is vertically from the x-axis.

Quadrant I: the upper-right quadrant of the plane in which all points in this quadrant have  the  positive x coordinates and positive y coordinates as { (+,+)}  ,  {(+,+)}

Quadrant II: the upper-left quadrant of the plane in which all points in this quadrant have negative x coordinates and positive y coordinates

{ (+,-)}{ (+,-)}

Quadrant III: the lower-left quadrant of the plane in which  all points in this quadrant have negative x coordinates and negative y coordinates

{ (-,-)}{(-,-)}

Quadrant IV: the lower-right quadrant of the plane in which  all points in this quadrant have positive x coordinates and negative y coordinates

{(+,-)}{ (+,-)}

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A map is drawn using a scale of 2 cm : 75 miles. Two cities are 325 miles
apart. How far apart are the two cities on the map?

Answers

Answer:

The answer is 8.67

Step-by-step explanation:

Divide the distance by 75 since it's the actual distance of the scale factor

325/75=4.33

Multiply the answer by the scale factor

4.33×2=8.67

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