Y = 1/3x + 4
3x+y=-6

This amount is equivalent to 7% of his total bill. Barney purchased an MP3 player from an online store for $80.00.

On the checkout page, he noticed that the store had applied a sales tax of 7%. Using a proportion, find the amount of his total bill that Barney is charged as sales tax. The amount that Barney is charged as sales tax can be determined by multiplying the sales tax rate by the total amount paid.

The formula for calculating the amount of sales tax is: Amount of sales tax = Tax rate × Total amount paid.

In this case, the total amount paid by Barney was $80.00. Therefore, the amount of sales tax he was charged is: Amount of sales tax = 7% × $80.00 = 0.07 × $80.00 = $5.60.

Therefore, Barney was charged $5.60 in sales tax on his MP3 player.

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You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

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The area of the parallelogram is 6 square units.

To calculate the area of the parallelogram, we first need to find two vectors that lie on the plane of the parallelogram. Let's consider the vectors KL and KM. Vector KL can be obtained by subtracting the coordinates of point K from L, resulting in KL = (0, 3, 2). Similarly, vector KM can be obtained by subtracting the coordinates of point K from M, giving us KM = (4, 7, 2).

Next, we calculate the cross product of vectors KL and KM. The cross product of two vectors A = (A1, A2, A3) and B = (B1, B2, B3) is given by the formula: A × B = (A2B3 - A3B2, A3B1 - A1B3, A1B2 - A2B1). Applying this formula, we find that KL × KM = (10, -4, -12).

The magnitude of the cross product vector KL × KM represents the area of the parallelogram formed by KL and KM. The magnitude of KL × KM is calculated using the formula: |A × B| = √(A1^2 + A2^2 + A3^2), which gives us |KL × KM| = √(10^2 + (-4)^2 + (-12)^2) = √(100 + 16 + 144) = √260.

Thus, the area of the parallelogram is equal to the magnitude of the cross product vector KL × KM, which is √260. Simplifying this, we get the final result: the area of the parallelogram is approximately 6 square units.

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Hi!

I can help you with joy!

\(\sqrt{99}\) is irrational.

:):):)

\(*RosalindCordelia*\)

Answer:

Rational

Explanation

This is because 99 can be expressed as a qouetient of two intergers that's to say (99÷1)

Answer:

x=a+b/2

Step-by-step explanation:

1. adding a to both sides

2. dividing both sides by 2

2x-a=b

2x=a+b

x=a+b/2

(not sure if correct but hope it helps!)

Answer:

The grinding action between the plates at a transform plate boundary results in shallow earthquakes, large lateral displacement of rock, and a broad zone of crustal deformation.

Step-by-step explanation:

It transform boundaries are where plates slide past each other causing friction, leading to earthquakes.

This is my answer absolute 100% correct

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Answer: The answer would be 8.

Step-by-step explanation: I'm going to assume you mean 7 8/13 is a mixed fraction. So you multiply the denominator, 13, multiply 7 to that, then add 8 to it and the denominator would be the same as before. That should give you 99/13. When you divide, you get around 7.6, rounding closest to 8.  

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg

The sum of Peter, Richard, and John's ages is 191.

We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)

The ratio of John's age to Peter's age is = 7/12 --(ii)

Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)

Using the value of (i),(ii),(iii), we get -

Age of Peter = (5*12)/(8*12) = 60/96

= 60 years of age

Age of John = (7*5)/(12*5) = 35/60

=35 years of age

From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age

Hence the sum of their ages is = 96+35+60

= 191

Therefore, we know that the sum of their ages is 191.

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Answer:

The vertex form of the quadratic function, f(x) = a·(x - h)² + k

Step-by-step explanation:

The general form of a quadratic function is given as follows;

f(x) = a·x² + b·x + c

The vertex form of the quadratic function is f(x) = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex of the parabola

h = -b/2·a, k = f(h)

Answer:

John can share 5 meters per second

Question:

Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.

Answer:

What does point G represent in this context?

Chanas distance from the starting line at a time when she is farther than Josiah.

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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As per the concept of unitary method, the another way to express 8 feet is 2 ²/₃ yards.

In math, unitary method is known as a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Here we have given that a clothesline rope is 8 feet long.

Now we need to find another way to express 8 feet.

We know that the formula to convert the measurement it to divide the length by the conversion ratio.

As we know that one yard is equal to 3 feet, then we can use this simple formula to convert is written as

=> yards = feet ÷ 3

Here the equivalent yard measurement is written as,

=> yards = 8 ÷ 3

Then we have to convert the improper fraction into mixed fraction form, then we get,

=> 2 ²/₃ yards.

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Answer:

- \(\frac{1}{2}\)  

Step-by-step explanation:

1) 16

2) 16 ÷ ( - 2) = - 8

3) - 8 ÷ ( - 2) = 4

4) 4 ÷ ( - 2) = - 2

5) - 2 ÷ ( - 2) = 1

6) 1 ÷ ( - 2) =  - \(\frac{1}{2}\)

The nearest whole number would be 8.

Lets say that "#" is a filled in space and "()" is an empty space, out of 15.

We have 8 whole numbers (divided into fifteenths):

################

################

################

################

################

################

################

################

And six fifteenths:

######()()()()()()()()()

As you can see, the filled in space is closer to the whole number below it (8), making us round downwards, so now we only have 8 whole numbers remaining.

Step-by-step explanation:

The fraction she will complete is   1/2  /  3/5   = 1/2 * 5/3 =  5/6 completed

Answer:

50 pages

Step-by-step explanation:

We can set up an equation for this in slope-intercept form.

The slope is 2 due to her expecting to write 2 pages an hour.

The y-intercept is 2 because she has already written 2 pages.

The full equation is y = 2x + 2.

We can plug 24 in for x to get y = 48 + 2, which simplifies to y = 50.

Answer:

The sum of the first 100 odd numbers is 10,000

Step-by-step explanation:

Here, we want to find the sum of the first 100 odd numbers

Mathematically, we can use the formula for the sum of term in a sequence which is;

Sn = n/2(a + L)

where n is the number of terms

L is he last term

a is the first term

The difference between two consecutive odd numbers is 2

So:

T100 = 1 + (100-1)2

T100 = 1 + 198

T100 = 199

So;

sn = 100/2(1 + 199)

Sn = 50(200)

Sn = 10,000

Step-by-step explanation:

the sum of the first 100 odd numbers 10000

To prove that sinθ secθ cotθ = 1 is an identity, we can start by writing the left side in terms of sinθ and cosθ.

We can then combine the fractions and reduce. This gives us sinθ/cosθ * 1/sinθ = 1. Therefore, we have shown that sinθ secθ cotθ = 1 is an identity.

Here are the steps in more detail:

We start by writing the left side in terms of sinθ and cosθ:

sinθ secθ cotθ = sinθ * 1/cosθ * 1/sinθ

We can then combine the fractions:

sinθ secθ cotθ = (sinθ * 1/sinθ) * (1/cosθ)

This gives us:

sinθ secθ cotθ = 1 * 1/cosθ

Use code with caution. Learn more

Finally, we can reduce the fraction to get:

Code snippet

sinθ secθ cotθ = 1/cosθ

Therefore, we have shown that sinθ secθ cotθ = 1 is an identity.

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Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

The piecewise function graphed in this problem is given as follows:

C) y = x² + 2, x < 1, y = -x + 2, x ≥ 1.

A piece-wise function is a function that has different definitions, depending on the input of the function.

To the left of x = 1 in this problem, we have the quadratic function with vertex at (0,2), hence it is given as follows:

y = x² + 2, x < 1.

To the right of x = 1, including x = 1, we have a linear function with slope of -1 and intercept of 2, hence it is given as follows:

y = -x + 2, x ≥ 1.

Thus option C is the correct option for this problem.

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The requried simplified value of x in the expression \(5^{(3-x)} = 1/125\) is x= 6.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
We can start by simplifying the right-hand side of the equation:

\(1/125 = 5^{-3}\)

So we can rewrite the equation as:

\(5^{(3-x)} = 5^{-3}\)

Now we can use the property that if \(a^x = a^y\), then x = y, as long as a is not zero. In this case, a is 5 and it is not zero, so we can apply this property,

3-x = -3

Adding x to both sides, we get,

3 = x - 3

Adding 3 to both sides, we get,

6 = x

Therefore, x = 6.

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The correct compound inequality is:

x - 4 < 9 or x - 4 > -9

We want to find a compound inequality equal to the absolute value one below:

|x - 4| < 9

We can break it into two ones, these are:

x - 4 < 9

x - 4 > -9

Solving these two we will get:

x < 9 + 4 = 13

x > -9 + 4 = -5

Then the compound inequality is:

x < 13

x > -5

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Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

Answer:

1, -1, 0

Step-by-step explanation:

Those are numbers between or equal to -2(not equal to -2) and 1.

Answer:

-1/0/1

Step-by-step explanation:

Step-by-step explanation:

multiple the power and real number

Answers;

a) Multiply 2 by 3: 6ab.

b) Multiply \(c^{5}\) by c by adding the exponents: c^6 or \(c^{6}\).

c) Simplify the expression. 10y^7 or \(10y^{7}\).

d) Simplify the expression. 12g^4h^5 or \(12g^{4}h^{5}\).

Answer:

m=2

Step-by-step explanation:

Answer:

We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.

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