What is the GCF of 15x^2y and 45xy​

Answers

Answer 1

Answer:

15xy

Step-by-step explanation:

Answer 2

Answer:

15xy

Step-by-step explanation:

15xy is the highest factor of both 15x^2y and 45xy.

It would look something like 15xy (x + 3y).

Hope this helped!


Related Questions

3х + Зу = -x+5y ordered pair

Answers

Answer:

2x-y=0

x=1/2y

Step-by-step explanation:

Answer:

Your solution is (1/2, 1).

Step-by-step explanation:

3х + Зу = -x + 5y

First we want to look at each side of the equation separately.

3х + Зу ⇒ This expression is fully simplified because you cannot add different variables together.

-x + 5y ⇒ This expression is fully simplified because you cannot add different variables together.

3х + Зу = -x + 5y

Now, let's bring the like terms together.

[add x to both sides]

x + 3x + 3y = -x + x + 5y

4x + 3y = 5y

[subtract 3y from both sides]

4x + 3y - 3y = 5y - 3y

4x = 2y

We want to solve for one variable at a time, so let's isolate x.

[divide both sides by 4]

4x/4 = 2y/4

x = 1/2y

Now we have an expression for x. Plug this expression in to your original equation.

3х + Зу = -x + 5y

3(1/2y) + 3y = -(1/2y) + 5y

According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should multiply first.

3(1/2y) + 3y = -(1/2y) + 5y

3/2y + 3y = -1/2y + 5y

Now let's add on each side.

9/2y = 9/2

Now we need to isolate y by dividing both sides by 9/2 (or multiplying by its reciprocal 2/9 ← This is often easier to understand when written)

[tex]\frac{2}{9} (\frac{9}{2} y) = \frac{9}{2} (\frac{2}{9} )[/tex]

In this form, we can see that the fractions cancel each other out.

y = 1

Now that we have the value of y, plug it into our equation for x.

x = 1/2y

x = 1/2(1)

Multiply.

x = 1/2

Your solution is (1/2, 1).

You're almost done! Check your answer by plugging in both these values in to your original equation.

3х + Зу = -x + 5y

3(1/2) + 3(1) = -(1/2) + 5(1)

Multiply.

3(1/2) + 3(1) = -(1/2) + 5(1)

3/2 + 3 = -1/2 + 5

Add.

9/2 = 9/2

This equation is true, therefore your answer is correct!

Hope this helps!

Factor this equation using the Zero product property , What are the x-intercepts?: f(x)=2x^2+5x-3

Answers

Answer:

x = 1/2

x = -3

Step-by-step explanation:

[tex]f(x)=2x^2+5x-3[/tex]

Factor

Zero Product Property

X-Intercepts

____________________

To find the x intercepts, we need to first factor our given polynomial. The quickest trick I use to factor is to find two numbers that multiply to c (in this case -3) and the same two numbers that add to b (in this case 5).

The two numbers would be -1 and 3, but along with 2x to help out.

Therefore the binomial for this factor is :

[tex](2x-1)(x+3)[/tex]

Now to solve the x-intercepts, we separate the binomials into an algebraic expressions :

2x - 1 = 0

x + 3 = 0

Isolate for x in both of them :

2x - 1 = 0

Add 1 to both sides :

2x = 1

Divide both sides by 2 :

x = 1/2

x + 3 = 0

Subtract 3 from both sides :

x = -3

PLEASE HELP !!

find the length of arc AB. round your answer to the nearest hundredth

Answers

Answer:

The answer will be MAB= 19.53m

Step-by-step explanation:

hope it helps have a great day ^_^

Shari buys a box of 60 candles for £125.
She sells the candles for £2.25 each.
Calculate her percentage profit.

Answers

Answer:

Step-by-step explanation:

£2.25 X 60 = £135

135 - 125= £10

£10/125 x 100 = 8%

What is the solution to the equation 3/m+ 3-m/3-m=m^2+9/m^2-9?​

Answers

Answer: Hope this helps!

Step-by-step explanation: To solve this problem you should take into the following steps :

1) Subtract fractions correctly as a cross-product

2) Rewrite the second-degree polynomials correctly.

3) Cancel terms that have the same exponent.

4) Make algebraic sums correctly.

M=3

4. Find f(2) if f(x) = 2x + 1.

Answers

Answer:

X= .5 (decimal form)

X= 1/2 (Exact form)

Answer: 5

Work Shown:

f(x) = 2x+1

f(2) = 2*2+1 ... x has been replaced with 2

f(2) = 4+1

f(2) = 5

The input is x = 2. The output is y = 5.

Help on number two and plz

Answers

Answer:

The awnser would be 9 because its under the sum of 10

Answer:

9 (see below)

Step-by-step explanation:

So, for a triangle, if you add any two sides, it will always be greater than the third side.

So if a triangle has sides of 1, 1, and 1:

1 + 1 > 1

1 + 1 > 1

1 + 1 > 1

So this is a triangle.

For a triangle with the sides of 3, 3, and 9:

3 + 9 > 3

9 + 3 > 3

3 + 3 > 9   (this one is not true)

So, these can't be the values of the sides of a triangle.

For your situation, you have a triangle with sides of 4, 6, and x.

We need to find out what x is, so:

4 + 6 > x

4 + x > 6

6 + x > 4

Isolate x to one side and simplify all the inequalities. You will get:

x < 10

x > 2

x > -2

So, -2 < x < 10.

If you plug in your answer choices, it will be 9.

What is 5 1/2 +2 1/7

Answers

Answer:

Step-by-step explanation:

5[tex]\frac{1}{2}[/tex]+2[tex]\frac{1}{7}[/tex]

5[tex]\frac{7}{14}[/tex]+2[tex]\frac{2}{14}[/tex]

7 9/14  or 7[tex]\frac{9}{14}[/tex]

Answer:

[tex] \frac{135}{14} [/tex]

Which value of g makes the inequality 2g>470 true?

Answers

Answer:

none

Step-by-step explanation:

Answer:

235

Step-by-step explanation:

470 ÷ 2 = 235

FIRST WILL BE MARKED BRAINLIEST!

Sarah went on a car trip with her parents. If they traveled 150 miles before their first hour (30 minute)
break and another 300 miles before their second 7 hour (30 minute) break what was the average speed if
they got to their destination in 6 hours not including the 2 stops?

Answers

Answer:

75 miles per hour

Step-by-step explanation:

they traveled 450 miles in 6 hours

450/6 = 75 mph

Draw a A PQR if PQ = 6.5cm, m< PQR=75 °and m <PRQ=45° using ruler and compasses
only.

Answers

Answer:

Check your question well

Step-by-step explanation:

U didn't ask to draw angle p so how can we get the angle r

The sum of eleven less than a number and three more than four times that number is 37.

Answers

10- x + 3 * 4 = 37


trust me :)

i have 8 mins to turn this in, what’s the answer?? thanks :)

Answers

Answer:

i think b???

Step-by-step explanation:

Answer:x=10 y= 10 square root 2

Step-by-step explanation:

I need a hard 8th-grade math question (ON LEVEL) please don't give me the answer also tell me how I can use it in real life

Answers

The lengths of two sides of a triangle are 20 mm and 13 mm. Which of these lengths cannot represent the length of the third side.
35 mm
10 cm
20 mm
45 mm

5. Segment A' B' is parallel to segment AB.
a. What is the length of segment A' A?
b. What is the length of segment B' B?

Answers

Answer:

A=(−1,3),B=(4,−9)

We know that the distance between two points

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Therefore,

d=

(4−(−1))

2

+(−9−3)

2

d=

(4+1)

2

+(−12)

2

d=

(5)

2

+(−12)

2

d=

25+144

d=

169

d=13 units

The side lengths of A'A and B'B are 18 and 9 respectively.

What are similar triangles?

When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.

Given that, segment A'B' is parallel to segment AB.

Let A'A =x and B'B = y.

Since the segments are parallel the triangles ΔA'B'C and ΔABC are similar.

As per the property of similar triangles, it follows:

12/8 = (12 + x)/20

12 + x = (12/8)20

x = 18

And,

6/8 = (6+y)/20

6 + y = (6/8)20

y = 9

Hence, the side lengths of A'A and B'B are 18 and 9 respectively.

Learn more about similar triangles:
https://brainly.com/question/25882965

#SPJ2

What percent is represented by the shaded area?

Answers

Answer:

30%

Step-by-step explanation:

There are 6 shaded squares out of 20 squares. That is the same as 30 out of 100. 30/100=30%

Answer: 30%

Step-by-step explanation:

5*4 is 20.

So that your area.

6/20 converted to percentage: 30%

Emily has a fair spinner with six sides.

They are labelled orange, orange, white, pink, white, orange.

Choose the word that best describes the likelihood that the spinner will land on a colour not purple.

Your Answer:

impossible
unlikely
evens
likely
certain

Answers

certain, since purple is not an option, the spinner will 100% land on a color that is nog purple.

Answer:

Impossible not likely to happen

Find the measure of each interior angle.

Answers

Answer:

d. m<R = 128, m<S = 52, m<T = 128, m<U = 52

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360°

6x - 4 + 2x + 8 + 2x + 8 + 6x -4 = 360° add like terms

16x + 8 = 360 subtract 8 from the both sides

16x = 352 divide both sides by 16

x = 22 now to find the value of each angle replace x with 22

$5 for 4 pounds of apples how much does 1 pound cost

Answers

Answer:

$1.25

Step-by-step explanation:

5 dollars for four pounds

one pound = $5 / 4 = $1.25

Answer: 80 cents

Step-by-step explanation: Divide 4 & 5 and get 0.8

To check your answer just multiply 0.8 and 5 which equals 4

So 1 lb cost 80 cents

Jordan walks 250 m North towards school. He forgets his backpack and walks 250 m South back to his house. He then finds his backpack and walks 900 m North. He gets to school in 9 minutes. What is his velocity in meters per minute

Answers

Answer:

10 m / minute

Step-by-step explanation:

Starting position = North ; back to North gives a Displacement of 0 ; the from that position to 900 m south gives a final Displacement of 900

Displacement / time

Displacement = 900

Time = 9 minutes

900 / 9

= 10 m / minute

Someone please answer correctly

Answers

Answer:

13

Step-by-step explanation:

It is a parallelogram so the opposite angles are the same.

All angles sum to 360 degrees.

This means that the adjacent angles sum to 180 degrees.

4a + 11 + 9a = 180 = 13a + 11

13a = 169

a=13

When Groundhog Day is
on a weekday,
around15,000 people
attend the events in
Punxsutawney, PA. If two-
thirds take the shuttle bus
to the park for $5 and the
rest pay $25 for parking,
how much money does
the city earn?

Answers

Answer:  175,000 dollars

====================================================

Work Shown:

2/3 of 15,000 = (2/3)*15000 = 10,000

This means 10,000 people take the shuttle bus to the park. If each person pays $5 to take the bus, then the city earns 5*10,000 = 50,000 dollar through this option.

The rest pay for parking, so 15,000-10,000 = 5,000 people pay for parking. At $25 each, this amounts to 25*5,000 = 125,000 dollars earned through this option.

Overall, the city earns a total of 50,000+125,000 = 175,000 dollars

Side note: this assumes that the remaining 5,000 people all take separate cars and no single car has more than one person. This is very unrealistic as there are likely to be families or carpools of some kind. So in reality, the answer shown above is an upper estimate of the total revenue.

Answer:

DOIN IT FOR THE BAG MY GUY

Step-by-step explanation:

If a cone is 6 inches tall and has a radius of 4 inches. What is its volume?

Answers

Answer:

100.53

Step-by-step explanation:

Following the formula, V=πr2h 3, you would get 100.53 with 6 as the height and 4 as the radius.

the product of lisa and her twin brothers is 36 and their sum is 13 how old can lisa be

Answers

Answer:

Lisa is 23 years old.

Step-by-step explanation:

36 (total) - 13 (brothers age) = 23 (Lisa's age)

23+13=36

What is the greatest common factor of 72 and 86?
A 2
B)
4
© 7
D 12

Answers

it's 7

Hope it helps

Have a good day

What is value of x?

PLZ HELP

Enter your answer in the box.

x = ?
A triangle with vertices labeled as A, B, and C. Side B C is the base. A line segment is drawn from vertex A to base B C that bisects angle B A C into two parts marked with single arcs. Side A B is labeled as x plus 8. Side A C is labeled as 2 x minus 5. Side B C is divided into two parts labeled as 10 and 14.

Answers

X=27
Hopefully this helped

Answer:

27

Step-by-step explanation:

Verified correct with test results.

A line passes through point (-8,-6) and has a slope of
5/2
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.

Answers

Answer:

5x - 2y= -28

Step-by-step explanation:

Since the y= mx + b format would be: y= 5/2x + 14

Standard form is: 5x - 2y= -28

Abigail and her children went into a movie theater and she bought $71.50 worth of drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a total of 16 drinks and pretzels altogether. Determine the number of drinks and the number of pretzels that Abigail bought.

Answers

The number of drinks bought is 6 and the number of pretzels is 10.

Answer: Drinks 6 pretzels 10

Step-by-step explanation:

It just is my g

AAAAAA I AM FREAKING OUT I NEED HELP ASAP!!!!

Fifteen unit squares are arranged in a 5 by 3 rectangle as shown. What percent of the largest rectangle is shaded gray?


PLS PLS TELL WHY THE ANSWER IS TRUE!!

Answers

Answer:

40%

Step-by-step explanation:

There's a total of 15 squares.

So the percentage that is gray would be [tex]\frac{6-gray-squares}{15-total-squares}[/tex] which simplifies to [tex]\frac{2}{5}[/tex] in fraction form or 40%


1) What operation is represented in the expression 4(x+4)?
A) Product
B) Power
C) Difference
D) Quotient

Answers

Answer:

a

Step-by-step explanation:

it is

The answer is a hope this helps
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