Which Fractions have a Least Common Denominator of 45

A) 2/3, 1/6, 1/5
B) 2/3, 1/9, 1/15
C)2/3, 1/5, 1/3
D) 2/27, 1/7, 1/3

Answer:

GCF(2y²z ​, 8yz²) = 2yz

Step-by-step explanation:

2y²z = (2yz) × y

8yz² = (2yz) × 4z

then

GCF(2y²z ​, 8yz²) = 2yz

Answer:

B) [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Tan= Opposite/Adjacent

HJK = RST

Tan H = Tan R

Tan H = 5 (Opposite) / 12 (Adjacent)

So...

Tan R= 5/12

Answer:

The probability that the sum is 5 or lower for each dice when rolled is 25/36, since all numbers equal to or below 5 count. Since there are 5 numbers out 6 possible, 5/6 is the probability fo rolling 5 or lower for one. Multiply 5/6 by itself, since we are rolling twice 5/6 * 5/6 = 25/36 or about a 69.5% chance

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

Khan Academy

Answer:

x=26

Step-by-step explanation:

4x+4+4x-32=180

8x-28=180

8x=180+28

x=26

Answer:

Move all terms that don't contain y to the right side and solve.y=4−6x/5

Step-by-step explanation:

Answer:

Simplify (0%)

.

O A. 6

O B.

01

6

O C. 64

O D. 616

Step-by-step explanation:

Answer:

-2 > -9

or

-9 < -2

Step-by-step explanation:

-2 > -9

Inequalities represent values by comparing their size to other numbers.

Negative Numbers

While positive 9 might be larger than positive 2, remember that negative numbers work in the opposite way. -9 is more negative than -2, thus it is smaller. Another way to think about it is that -9 is further below 0 than -2.

Inequality Symbols

There are 2 main inequality symbol < (less than) and > (greater than). The symbol opens to the side of the larger number. Because we know that -2 is greater than -9, we can make the inequality -2 > -9.

Answer: 637 m²

Step-by-step explanation:

   We need to find the area of four triangles and one square.

   The square: 169 m²

A = L²

A = (13 m)²

A = 169 m²

   The triangles: 468 m²

-> We have four congruent triangles. I will find the area of two (skipping the "divide by two" part of the formula) and multiply by two to find all four at once.

A = B * H

A = (13 m) * (18 m)

A = 234 m²

-

234 m² * 2 = 468 m²

   Total surface area:

169 m² + 468 m² = 637 m²

Answer:

31200000

Step-by-step explanation:

Jeez who gave you this question?

{0}

The range of a function is the set of y-values within a function.

Finding the Range

As stated above, the range is all of the y-values. To find the y-values remember that in a coordinate pair the second point is the y-value. So, look at the second value of each pair. For all 4 points, the y-value is 0. This means that the range is 0.

Range Notation

Now that we know the range, we need to use the correct notation. When writing domain or range, make sure that the values are listed in order from least to greatest. Additionally, even if y-values repeat in the coordinate pairs, only state them once in the range. In this case, there is only 1 unique value, so the range should only have 1 value. Finally, the range is surrounded by braces. Therefore, the range should be written as {0}.

Answer:

A

Step-by-step explanation:

Answer:

It is 2/27

Step-by-step explanation:

Took the test.

The length of the base of the parallelogram that has a height of 5 yards and an area of 150 square yards is 30 yards

The given parameters are:

Area = 150

Height = 5

The area of a parallelogram is:

Area = Base * Height

So, we have:

Base * 5 = 150

Divide both sides by 5

Base = 30

Hence, the length of the base of the parallelogram is 30 yards

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[tex]\text{Apply Pythagorean theorem,}\\\\~~~~x^2 = 6^2 +8^2\\\\\implies x = \sqrt{6^2 +8^2}\\\\\implies x = \sqrt{36 +64}\\\\\implies x =\sqrt{100}\\\\\implies x = 10~~ \text{units.}[/tex]

Answer:

[tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]

Step-by-step explanation:

First determine whether it is a sine function or a cosine function. Since

sin(x) = 0 at x = 0 and we see indeed that the value of the function is 0 at x = 0 it must be a sine function

The general equation of a sine function is [tex]a sinbx[/tex]

where a is the amplitude. The amplitude is one-half the difference between the lowest and highest values in the graph.From the graph we can see that the highest value is 3/4 and lowest is -3/4 so the amplitude = 1/2 (3/4 + 3/4) = 3/4

If the amplitude were positive, the function would be increasing at (0,0) and going up to its amplitude value. However we can see that the function is decreasing at (0,0 ) and goes down to -3/4. Therefore the amplitude a has a negative sign so a = -3/4

To compute b, note that the period of the function ie where it finishes a full cycle is 3π since the function at that x value repeats itself. The relationship between b and the period is 2π/b = 3π in this particular case

This gives b = 2/3

So a = -3/4, b = 2/3 and the equation is [tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]

Answer:

For the book standing on the left you have a choice out of all

6

, for the next one you choose from the

5

left, and so on.

Explanation:

So the total number of arrangements you have:

6

×

5

×

4

×

3

×

2

×

1

=

720

Usually this is written as

6

!

, pronounced "6 factorial"

(factorial meaning the product of all whole numbers from

1

up to and including the one before the

!

)

Step-by-step explanation:

CORRECT ME IF IM WRONG

Answer:

5 weeks

needs 75 more $$$

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

You would just multuply the amount of time and the amount of money it costs.

Answer:

$1

Step-by-step explanation:

4 divided by 4 is 1 like the other person said. You can give them brainliest.

Hope It Helps

Reason:

Plug in w = 16 and compute.

D = 4w + 30

D = 4(16) + 30

D = 64 + 30

D = 94

This says at week 16, Jose will have $94 in his piggy bank.

It will take 0.556 seconds for an echo to reach one's ears

From the question, we are to determine how long it would take an echo to reach one's ears

From the formula,

[tex]Speed = \frac{2 \times distance \ travelled\ by \ sound}{Time}[/tex]

NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance

From the given information,

Distance = 92.0 m

NOTE: Speed of sound in air at 0 °C ≅ 331 m/s

Putting the parameters into the formula, we get

[tex]331 = \frac{2 \times 92.0}{Time}[/tex]

[tex]Time = \frac{2 \times 92.0}{331}[/tex]

Time = 0.556 secs

Hence, it will take 0.556 seconds for an echo to reach one's ears.

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Answer:

[tex]\boxed{k = \frac{L^2 + p}{4t}}[/tex]

General Formulas and Concepts:

Algebra I

Basic Equality Properties

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle L = \sqrt{4kt - p}[/tex]

Step 2: Solve for k
We can use equality properties to help us rewrite the equation to get k as our subject:

Let's first square both sides:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\\end{aligned}[/tex]

Next, add p to both sides:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\\end{aligned}[/tex]

Next, divide 4t by both sides:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\& \rightarrow \frac{L^2 + p}{4t} = k \\\end{aligned}[/tex]

We can rewrite the new equation by swapping sides to obtain our final expression:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow \boxed{k = \frac{L^2 + p}{4t}}\end{aligned}[/tex]

∴ we have changed the subject of the formula.

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Topic: Algebra I

To find x, first find y.

In a triangle, all the angles add up to 180. So we can create the equation:

45+55+y=180
100+y=180
y=80

Since x and y are vertical angles, that mean they are equal so that means angle x is also 80.

Answer:

12

Step-by-step explanation:

SUM/COUNT = formula

8+13+15/3

36/3

= 12

Answer:

[tex]0.09375[/tex]

Step-by-step explanation:

the total number of balls = 3 + 3 + 2 = 8

Let p be the probability of choosing a green ball, replacing it, and then choosing a yellow ball.

[tex]p=p\left( \text{choosing a green ball} \right) +p\left( \text{choosing a yellow ball} \right)[/tex]

  [tex]=\frac{2}{8} \times \frac{3}{8}[/tex]

  [tex]=\frac{6}{64}[/tex]

  [tex]= 0.09375[/tex]

Answer:i think you are on the right track

Step-by-step explanation:

I am not very good at this,but i  think you have it right so far

Answer:

14.04

Step-by-step explanation:

Check the picture below, so the parabola looks more or less like so.

the vertex is always half-way between the focus point and the directrix, and since the parabola is opening downwards, the "p" distance is negative.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=5\\ k=1\\ p=-1 \end{cases}\implies 4(-1)(y-1)~~ = ~~(x-5)^2\implies -4(y-1)=(x-5)^2 \\\\\\ y-1=-\cfrac{1}{4}(x-5)^2\implies y=-\cfrac{1}{4}(x-5)^2 + 1[/tex]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

[tex]\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x[/tex]

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

[tex]\rm y = \dfrac{2}{3} x + c[/tex]

Then this line also passes through a point (2, -3). Then the value of c will be

[tex]\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13[/tex]

Then the equation of the line will be

3y = 2x -13

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[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=\stackrel{KL}{2}\\ \theta =\stackrel{\widehat{LM}}{\frac{14\pi }{9}} \end{cases}\implies A=\cfrac{ ~~ \left( \frac{14\pi }{9} \right)(2)^2 ~~ }{2}\implies A=\cfrac{28\pi }{9}[/tex]