Factor completely 5xy3 15x3y2 − 30x2y2. 5(xy3 3x3y2 − 6x2y2) 5x(y3 3x2y2 − 6xy2) 5xy2(y 3x2 − 6x) Prime.

Answer:

100

Step-by-step explanation:

Dont really know how to explain this.. 100 is the LCM of 10, 20, and 25

Answer:100

Step-by-step explanation:

Check this video for more info : https://youtu.be/BSLem5-aDpI but I did : https://imgur.com/a/hryUe2J

Answer:

Step-by-step explanation:

1) 5xy - xy + 2x - 13x + 10xy - 8x = 5xy - xy + 10xy   +2x - 13x - 8x

Combine like terms

 =  (5 -1 +10)xy + (2-13-8)x

 = 14xy + (-19x)

 = 14xy - 19x

2) -6c - (-6c) - (+6c) = -6c + 6c - 6c

                               = (- 6 + 6 - 6)c

                                = -6c

3) 0x - 22x - 4(2x) = 0x - 22x - 8x = -30x

XY - X + 2Y -2 =X(Y-1) + 2(Y-1) = 2X(Y-1)

Answer:

c. 1.067

Step-by-step explanation:

Hope it helps.

Percent of bracelets made during the weekend

= # of bracelet made during the weekend / total bracelet needed

= 54 / 300 = 0.18 --> 18%

(i) If we can write c as a linear combination of a and b, then there exist scalars k₁ and k₂ such that

[tex]c = k_1a + k_2b[/tex]

Solve for k₁ and k₂ :

[tex]3u + 4v = k_1 (3u - v) + k_2 (-u + 2v)[/tex]

[tex]3u + 4v = (3k_1 - k_2) u + (-k_1 + 2k_2) v[/tex]

Then we must have

[tex]\begin{cases}3k_1 - k_2 = 3 \\ -k_1 + 2k_2 = 4\end{cases} \implies k_1 = 2, k_2 = 3[/tex]

and so

[tex]\boxed{c = 2a + 3b}[/tex]

(ii) Given that u and v form an angle of 60° between them, we have by the dot product identity

[tex]u \cdot v = \|u\| \|v\| \cos(60^\circ)[/tex]

where ||u|| denotes the magnitude of the vector u. Both u and v are unit vectors, so ||u|| = ||v|| = 1, and

[tex]u \cdot v = \dfrac12[/tex]

A special case of the identity with u = v tells us that for any vector u,

[tex]u \cdot u = \|u\|^2 \cos(0^\circ) = \|u\|^2[/tex]

which means

[tex]u \cdot u = v \cdot v = 1[/tex]

This in turn means we have

[tex]a \cdot a = (3u - v) \cdot (3u - v) = 9 (u \cdot u) + (v \cdot v) - 6 (u \cdot v) = 7[/tex]

[tex]a \cdot b = (3u - v) \cdot (-u + 2v) = -3 (u\cdot u) - 2 (v \cdot v) + 7 (u \cdot v) = -\dfrac32[/tex]

[tex]a \cdot c = (3u - v) \cdot (3u + 4v) = 9 (u\cdot u) - 4 (v\cdot v) + 9 (u \cdot v) = \dfrac{19}2[/tex]

[tex]b\cdot b = (-u + 2v) \cdot (-u + 2v) = (u \cdot u) + 4 (v\cdot v) - 4 (u \cdot v) = 3[/tex]

[tex]b\cdot c = (-u + 2v) \cdot (3u + 4v) = -3 (u\cdot u) + 8 (v\cdot v) + 2 (u\cdot v) = 6[/tex]

[tex]c \cdot c = (3u + 4v) \cdot (3u + 4v) = 9 (u\cdot u) + 16 (v\cdot v) + 24 (u\cdot v) = 37[/tex]

and hence

[tex]d \cdot d = (3a + 2b + c) \cdot (3a + 2b + c)[/tex]

[tex]d \cdot d = 9 (a\cdot a) + 4 (b\cdot b) + (c \cdot c) + 12 (a\cdot b) + 6 (a\cdot c) + 4 (b\cdot c)[/tex]

[tex]d\cdot d = 175[/tex]

and so ||d|| = √175 = 5√7.

Answer:

1/7

Step-by-step explanation:

Answer:

13 and 27

Step-by-step explanation:

y= x+14

x+y=40

x+ x+14=40

2x+14=40

40-14=26

so, 2x=26

26/2

=13

so, x=13 and

and y equal 40-13

y=27

Answer:

40

Step-by-step explanation:

Step-by-step explanation:

When finding the slope using a graph, you can find it with a method called rise/run. This essentially means a change of y/a change of x

We find this by plugging in the given y points over the given x points

[tex]\frac{2-0}{-5-(-1)}[/tex]

[tex]\frac{2}{-4} =-1/2[/tex]

Therefore, the slope is -1/2.

Answer:

13/12

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

5/6 divided by 10/21,

get the reciprocal of 10/21

reciprocal of 10/21=21/10

now.

5/6 x 21/10

5 x 21= 105

6 x 10 = 60

so, 105/60

and the simplest form of 105/60 is 7/4

The probability is the ratio of the favorable event to the total number of events. All three show the correct description.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The probability of spinning and landing on red is 20% can be written as 1/5 which represents the spinner has five equal sections.

Meg spins the spinner 25 times and lands on red 10 times, or 40% of the time. In this, 40% represents the probability of red occurring 10 times out of 25.

She spins the spinner 80 times and lands on red 18 times or 22. 5% of the time. In this, 22.5 % represents the probability of red occurring 18 times out of 80.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

I would need to see the graph

Step-by-step explanation:

To find the x-intercept you find the point which the line intercepts with the x-axis...... The x-axis is the one that runs side to side.

Answer:

0,4 and 0, -1

Step-by-step explanation:

The graph is showing the x-axis on the left side. If you look at all the other numbers, they all say x-axis that does not hit the line. Yes, there are numbers who are hitting the 0 point, but all of those are Y-AXIS.

Answer: DOWN BELOW

Step-by-step explanation:

-3 -47

-1 -7

1 -1

3 -47

Answer:

6

Step-by-step explanation:

I hoped it helped!!!

You can just divide both 24 by 4 and 4 by 4 to make it 1.

Answer:

im not sure the answer choices but heres what I found:" In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer. "-wikipidia

Step-by-step explanation:

Answer:

86.4

Step-by-step explanation:

direct variation equation: y=kx

y=36, x=20

36=k*20

k=36/20=1.8

y=1.8x

x=48

y=1.8*48

y=86.4

Answer:

243, 729

Step-by-step explanation:

The pattern is to multiply the number by 3 to get to the next number

Example : 1 x 3 = 3 (second number), 3 x 3 = 9 (third number), 9 x 3 = 27 (fourth number)

Following the pattern, the next 2 numbers should be : 81 x 3 = 243, and 243 x 3 = 729

Answer:

1x113= 113, nothing else can equal to 113 unless you estimate ig

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

angle b = 180 - 120

= 60°

angle d = 180 - 60 - 60

= 60°

Answer:

Step-by-step explanation:

LCM of 4 and 8 = 8

[tex]\dfrac{1}{4}=\dfrac{1*2}{4*2}=\dfrac{2}{8}[/tex]

[tex]\dfrac{1}{4}-\dfrac{1}{8}=\dfrac{2}{8}-\dfrac{1}{8}\\[/tex]

         [tex]=\dfrac{1}{8}[/tex]

Answer:

c. 18 feet

Step-by-step explanation:

The area is 180ft². The height is 10ft.

Now, we need to divide 180ft² by 10ft.

180/10 = 18

ft²/ft = ft

The length of the wall is 18ft.

Answer:

The measure of the wall given is square ft., meaning you can divide it by either length or height to get the corresponding side.

We are given a height of 10 ft.

So 180 / 10 = 18ft

L = 18ft

Have a lovely day!

Answer:

1/7 chance

Step-by-step explanation:

learned it

Answer:

[tex]x^{2}[/tex] - 6x +8 is standard form

Step-by-step explanation:

terms with highest exponents come first, then descend in order

Answer:

1. x = 23

2. y = 14

3. n = 17.5

4. x = 12

5. n = 11

Step-by-step explanation:

Complementary angles are equal to 90°

Vertical angles are congruent, which means they are equal to each other.

Supplementary angles are equal to 180°

1.

2x - 3 + 47 = 90

Step 1: Combine like terms (-3 + 47)

2x (-3 + 47) = 90

2x + 44 = 90

Step 2: Subtract 44 from both sides

2x + 44 - 44 = 90 - 44

2x = 46

Step 3: Divide by 2 on both sides

2x/2 = 46/2

Step 4: Simplify

x = 23

2.

5y + 12 = 82

Step 1: Subtract 12 from both sides

5y + 12 - 12 = 82 - 12

5y = 70

Step 2: Divide by 5 on both sides

5y/5 = 70/5

Step 3: Simplify

y = 14

3.

4n - 5 + 115 = 180

Step 1: Combine like terms (-5 + 115)

4n (-5 + 115) = 180

4n + 110 = 180

Step 2: Subtract 110 from both sides

4n + 110 - 110 = 180 - 110

4n = 70

Step 3: Divide by 4 on both sides

4n/n = 70/4

Step 4: Simplify

n = 17.5

4.

Since m∠XYZ = 110°

3x + 2 + 72 = 110

Step 1: Combine like terms (2 + 72)

3x + (2 + 72) = 110

3x + 74 = 110

Step 2: Subtract 74 from both sides

3x + 74 - 74 = 110 - 74

3x = 36

Step 3: Divide by 3 on both sides

3x/3 = 36/3

Step 4: Simplify

x = 12

5.

5n + 35 = 90

Step 1: Subtract 35 from both sides

5n + 35 - 35 = 90 - 35

5n = 55

Step 2: Divide by 5 on both sides

5n/5 = 55/5

Step 3: Simplify

n = 11

Answer:

  see attached

Step-by-step explanation:

Rotation 180° about the origin is equivalent to reflection across the origin. Effectively, every coordinate changes sign.

  (x, y) ⇒ (-x, -y) . . . . rotation 180°

__

Additional comment

There are numerous approaches to making the plot of the reflected image. We chose to plot one point, then develop the rotated image by plotting other points in their proper relative position.

There are geometry programs and apps that can reflect a figure across any point you might choose. They will also do the rotation, if you find that simpler.

You can, of course, compute the values of each of the rotated coordinates, and then plot the points at their new location. We judge that to be the most work of all. YMMV

Answer:
Melissa's old job gave her 17.20 dollars.

Step-by-step explanation:

Why? Because if you 10.80 x 2 - 3.80 hr less, you get 17.80