can you simplify 8/15+1/6

To complete squares, she must use, in order:

Here we have the quadratic equation:

[tex]2x^2 + 12x - 3 = 0\\[/tex]

There are some ways of solving this, the first approach is completing squares, where we can write:

[tex]2(x^2 + 6x) - 3 = 0\\\\2(x^2 + 2*3*x + 9 - 9) -3 = 0\\[/tex]

Here we add and subtract 9 to complete squares and not change the equation. Here we used the third step only.

Now we just complete squares to get:

[tex]2*(x^2 + 6x + 9) - 2*9 - 3 = 0\\\\2(x^2 + 6x + 9) = 3 + 18 = 21\\\\2*(x + 3)^2 = 21\\\\x + 3 = \pm \sqrt{\frac{21}{2} }[/tex]

Where the first and fourth steps are also used.

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Answer:

$20,285.51

Step-by-step explanation:

A = P + I where

P (principal) = $12,000.00

I (interest) = $8,285.51

A = Pe^(r*t)

A = 12,000.00(2.71828)^((0.075)*(7))

A = $20,285.51

e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828

e here helps to show continously compounded interest

calculatorsoup

wikipedia

x = 85

sum of all the angles must be 540,

105 + 120 + 3x + 35 + 25 = 540

3x = 255

x is 85

Answer:

288

Step-by-step explanation:

Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.

You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change

96/6 = 16.

Now multiply 18 and 16 to get the number of cookies.

18 x 16 = 288

Answer:

$130

Step-by-step explanation:

120 x (1 + 1/12) = 120 x 13/12 = 130

Answer: 112 divided by 8 equals the length of the lion costume

Step-by-step explanation: 112 divided by 8 equals ???

Try and work it out using the bus stop method

Sorry if I wasn’t much help.

Answer:

141.75 pounds

Step-by-step explanation:

20.25* 7 = 141.75 pounds

You could also add 20.25 + 7 seven times.

Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

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Answer:

Normally,in calculating the amount of space an object occupies...the volume method is require due to 3 dimensional rule,vice versa an area

Answer:

(4x+2)(4x-2)

Step-by-step explanation:

Answer:

(4x+2)(4x-2)

Step-by-step explanation:

The option that correctly replaces the question mark in Aisha's proof is SAS (Option C). See it explained below.

Mathematical proofs are statements that are used to demonstrate that a mathematical expression or logic of true.

Since the portion of the question that shows the question mark is missing, we can rewrite the proof as follows:

Step 1

AB Dissects BC

AE ║ BD

Reason - It is given

Step 2

BC ≅ BE

Reason -  Definition of Segment Bisector

Step 3

∠ABE ≅ ∠CBD

Step 4

∠BCD ≅ ∠BEA

Reason

Alternative Interior Angles

Step 5

ΔBCD ≅ ΔBEA

Reason

SAS Postulate

Step 6

QED

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Answer:

2:3, 2 to 3

Step-by-step explanation:

9 and 6 are both factors of three, so you have to reduce. 3 goes into 9 tree times, and 3 goes into 6 twice. Since it is circles to squares, the 2 comes first then 3.

Hope this helps!

The volume of the given cone.

[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve!

Substitute the values according to the formula.

[tex]V=\frac{1}{3}×3.14×{12}^{2}×19[/tex]

[tex]\large\boxed{V=2863.68 \: {ft}^{3}}[/tex]

Therefore, the volume of the given cone is 2863.68 cubic feets.

Let's say that the money that each person has is equal to a letter:

A=Debbie, B=John, C=David.

Now we can write some equations.

"John has four times as much money as his sister Debbie who has half as much as their friend David."

B = 4A

A = 0.5C

"Together the three children have $105"

A+B+C=105

This is now a system of equations problem. Substitute to solve.

A + (4A) + C = 105

(0.5C) + 4(0.5C) + C = 105

3.5C = 105, so C = 30.

Plug this into the previous equations to get A=15 and B=60

So Debbie has $15, John has $60, and David has $30

Answer:

A

Step-by-step explanation:

dont have it but its A

Answer:

No answer

Step-by-step explanation:

I'm just a smart guy

Answer:

8

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

5*x = 4*10

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

The required equation of the line is 5y=x.

We are given to find the equation of the line passing through the points (0, 0) and (15, 3).

We know that

The equation of a line passing through two points (a, b) and (c, d) is given by

[tex]y-b=\frac{d-b}{c-a}(x-a)[/tex]

Therefore, the equation of the line passing through the points (0, 0) and (15, 3) is given by,

Thus, the required equation of the line is

[tex]y-0=\frac{3-0}{15-0}(x-0)\\y=\frac{3}{15}x\\ y=\frac{1}{5}x\\ 5y=x[/tex]

Thus the required equation of the line is 5y=x.

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The nature of the research is called Observational Study while the target Population is American Students.

1) In study, we survey members of a sample without trying to affect them while in experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive treatment. Thus, this is an observational study.

2) The sample is the 100 students made up of 50 boys and 50 girls.

3) The target Population are American College Students

4) The sampling method is; Simple random Sampling

5) The data is qualitative because it deals with description of feelings rather than dealing with numbers and figures.

6) It is unlikely that the results would be invalid because of sampling bias as it was only done in a private university.

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Answer:

For the entire United States, excluding Hawaii and Alaska, the average amount of moisture falling as rain and snow is 30.21 inches

Step-by-step explanation:

depends on the state

The conditions or surroundings in which we all live is called the environment. The main elements of the environment are air, water, temperature, weather conditions and more.

The environment is the base of the life cycle. It is the most precious gift of nature. But now our environment is in danger. Saving the environment is very important for living a comfortable life. It is the biggest challenge for humans to revert the environment to its real state. But nothing is impossible.

We need to take some steps immediately in order to save the environment and revert it back to its original form. Using natural resources efficiently is a powerful way to save our environment.

☆...hope this helps...☆

_♡_mashi_♡_

Hi Student!

Let's go through each of the options that were provided to the question stating what part of the circle was highlighted in red and talk about what they mean.

First off, radius is the distance from the outer line to the middle which perfectly incapsulates what the red line is.  Therefore, the correct answer would be option A, Radius.

However, if you want to understand the rest of the definitions you can follow with the bullets provided.

By finding the value between consecutive tick marks, we will see that:

1) x = 20

2) x = 48

3) x = 9.5

We know that each tick mark are equally spaced in the number lines below.

If you look at the first one (the already solved one). You can see that between the 4 and the 12 there are 4 ticks. If each tick has a value of T, we must have:

4 + 4*T = 12

4*T = 12 - 4 = 8

T = 8/4 = 2

Each tick values 2 units.

Between the 12 and the x there are 4 ticks, then:

x = 12 + 4*2 = 20

Now let's look at the second number line. There are 10 ticks between 25 and 140, then:

25 + 10*T = 140

10*T = 140 - 25 = 115

T = 115/10 = 11.5

And there are 2 ticks between 25 and the x, so:

x = 25 + 2*T = 25 + 2*11.5 = 48

x = 48.

Now the final number line. There are 8 ticks between 10 and 12, then:

10 + 8*T = 12

8*T = 12 - 10 = 2

T = 2/8 = 1/4 = 0.25

Now, the x is 2 ticks before the 10, then we have:

x = 10 - 2*T = 10 - 2*0.25 = 9.5

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Answer:

This will be a negative exponent so get rid of that negative number,

Step-by-step explanation:

This is very useful

Answer:

[tex]\tan \dfrac{\theta}2 = \dfrac{1}2[/tex]

Step by step Explanation:

[tex]\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right][/tex]

         [tex]=\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2[/tex]

Answer:

I believe it should be rounded to 11, if not decimal would be 10.88

Step-by-step explanation:

49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)

Answer:

The answer is 4 and 2/3 cm²

Step-by-step explanation:

Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.

The large area would be √49 cm²

The small area would be √9 cm²

  7          x cm

------ =  ----------, cross multiply

  3         2 cm

7 × 2 = 3 × x

14 = 3x

x = 14/3, x = 4 and 2/3

Setting up and equation from the word problem, Orlando has 24 apps on his phone, and Maria has 10 apps on her phone.

Let's assume that Orlando has x number of apps on his phone. According to the given information, Maria has 14 fewer apps, so the number of apps on Maria's phone would be (x - 14).

The total number of apps on both phones is 34, so we can set up the equation:

x + (x - 14) = 34

Simplifying the equation:

2x - 14 = 34

Adding 14 to both sides:

2x = 48

Dividing both sides by 2:

x = 24

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