2/3y + x =4 Solve for y

Answer:

1:45

Step-by-step explanation:

Trickish a bit. But look at it from this angle.

Two students were given marks that when added together, gives a total of 25. 25 on the other hand, is known to be a quarter of 100.

Again, we consider that there are 2 students involved, so we can say that the hour mark is at 2. This means that we have quarter to 2. And looking up quarter to 2 on the clock gives 1:45.

The answer is therefore 1:45

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Answer:

u do it

Step-by-step explanation:

Answer:

x² + (y + 2)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Given

x² + y² + 4y = 12

Using the method of completing the square

add ( half the coefficient of the y- term)² to y² + 4y

x² + y² + 2(2)y + 4 = 12 + 4

x² + (y + 2)² = 16 ← in standard form

with centre (0, - 2 ) and radius = 4

Answer:

\(1.25\cdot10^{5}\) \(or\) \(125000\)

Step-by-step explanation:

\(--------------------------------------------\)

\(1)\) \(64\cdot10^{6}\) = \(64000000\)

\(2 )\) \(32\cdot10^{6}\) = \(32000000\)

\(3)\) \(16\cdot10^{6}\) = \(16000000\)

\(4)\) \(8\cdot10^{6}\) = \(8000000\)

\(5)\) \(4\cdot10^{6}\) = \(4000000\)

\(6)\) \(2\cdot10^{6}\) = \(2000000\)

\(7)\) \(1\cdot10^{6}\) = \(1000000\)

\(8)\) \(5\cdot10^{5}\) = \(500000\)

\(9)\) \(2.5\cdot10^{5}\) = \(250000\)

\(10)\) \(1.25\cdot10^{5}\) = \(125000\)

\(--------------------------------------------\)

The way I solved this question was by dividing each scientific form by two.

\(--------------------------------------------\)

Hope this helps! <3

\(--------------------------------------------\)

The given relation does not represent a function. So, the answer is "1. No, because for each input there is not exactly one output".

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To determine whether the given relation represents a function or not, we need to check whether each input (x-value) has exactly one output (y-value) associated with it.

If there is any input that has more than one output or if there is any output that has more than one input, then the relation is not a function.

Looking at the given points, we can see that the input values 1 and -2 have more than one output associated with them.

For x = 1, the outputs are 5 and -1/2, and for x = -2, the outputs are -7 and 3/4.

Therefore, the given relation does not represent a function.

So, the answer is "1. No, because for each input there is not exactly one output".

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Complete question is:

The following points represent a relation where x represents the independent variable and y represents the dependent variable. 3/4,  -2, 1, 5, -2, -7, 1, -1/2, and 6, 6. Does the relation represent a function? Explain.

1. No, because for each input there is not exactly one output

2. No, because for each output there is not exactly one input

3. Yes, because for each input there is exactly one output

4. Yes, because for each output there is exactly one input

Answer: Y= -47/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The total number of students in the seminar is 258, with 98 boys and 160 girls given a ratio of 8:5 between boys and girls.

We can begin by using the given ratio of boys to girls, which is 8:5, and the information that there are 160 girls to find the number of boys in the seminar.

If the ratio of boys to girls is 8:5, then we can say that for every 8+5=13 students, there are 8 boys and 5 girls.

To find the number of boys, we can set up a proportion

8/13 = x/160

where x is the number of boys.

Simplifying this proportion, we get

x = 8/13 × 160

x = 98.46

Therefore, the number of boys in the seminar is approximately 98.

To find the total number of students in the seminar, we can add the number of boys and girls

Total number of students = Number of boys + Number of girls

Total number of students = 98 + 160

Total number of students = 258

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In mathematics, an algebraic expression is an assertion built up from integer constants, variables, and algebraic operations. This article is all about to Monomials, Binomials, and Polynomials.

1. Monomial

An algebraic expression that carries only one non-zero term is known as a monomial. A monomial is a just like a type of polynomial, like, binomial and trinomial, which is an algebraic expression having only a one single term, which is a non-zero.

It comprises of only a single term which makes it easy to do the operation of addition, subtraction, and multiplication.

2. Binomial

An algebraic expression that comprises of two non-zero terms is known as a binomial. It is expressed in the form equation ax ^m + bx ^n where a and b number, x is variable, m and n are nonnegative distinct integers.

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Answer:

let t= the number of tacos sold

let b= the number of burritos sold

3.25t+7b=552

b=2t

Step-by-step explanation:

Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.

The system of equation should be considered as the  3.25t+7b=552 and the value of b should be equivalent to 2t.

here we assume that

t= the number of tacos sold

And, b= the number of burritos sold

As per the situation, the equation be like

3.25t+7b=552

b=2t

So,

put b value in the first equation

3.25t + 14t = 552

t = 3.01

And, b = 1.51

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Answer:

16.31

Step-by-step explanation:

16.31 is your new price

Step-by-step explanation:

30.4375 is the original price.

The domain of the function f(x) = 4[(x-2)^(1/2)]-8 is the set of all real numbers x such that x ≥ 2.

This is because the expression (x-2)^(1/2) is only defined for x ≥ 2. The range of the function is the set of all real numbers y such that y ≥ -8. This is because the expression 4[(x-2)^(1/2)]-8 is always greater than or equal to -8 for all values of x in the domain.

So, the domain and range of the function f(x) = 4[(x-2)^(1/2)]-8 are:
Domain: [2, ∞)
Range: [-8, ∞)

In conclusion, the domain and range of the function f(x) = 4[(x-2)^(1/2)]-8 are [2, ∞), [-8, ∞).

The domain of the function f(x) = 4[(x-2)1/2]-8 is the set of all real numbers x such that x ≥ 2. This is because the expression (x-2)1/2 is only defined for x ≥ 2. The range of the function is the set of all real numbers y such that y ≥ -8. This is because the expression 4[(x-2)1/2]-8 is always greater than or equal to -8 for all values of x in the domain.

So, the domain and range of the function f(x) = 4[(x-2)1/2]-8 are:

Domain: [2, ∞)

Range: [-8, ∞)

In conclusion, the domain and range of the function f(x) = 4[(x-2)1/2]-8 are [2, ∞), [-8, ∞).

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If Keshawn is 1.45 meters tall. At 12 noon, he measures the length of a tree's shadow to be 15.05 meters. the height of the tree to the nearest hundredth of a meter is 2.02 meters.

To find the height of the tree, we can use the similar triangles method. Let's call the height of the tree "h".

Since Keshawn and the tree are standing in the same spot, the same light source is casting their shadows, so the ratios of their shadow lengths to their heights are equal. This means we can set up the following proportion:

1.45 / h = 15.05 / 10.8

We can solve for "h" by cross-multiplying:

h = 15.05 * 1.45 / 10.8

h = 2.02 meters

Therefore, the height of the tree to the nearest hundredth of a meter is approximately 2.02 meters.

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Answer: 5.13

Step-by-step explanation:

Answer:  The delivered price of the car was $30,943.85, and the amount due was $26,643.85.

Step-by-step explanation:

To calculate the delivered price of the car, we need to add up all the costs associated with the purchase:

Purchase price = $30,875

Sales tax at 7% = 0.07 x ($30,875 - $250) = $2,080.25

Extended warranty = $390

Registration fees = $128

Total cost = $30,875 + $2,080.25 + $390 + $128 = $33,473.25

To calculate the amount due, we need to subtract the rebate and the down payment from the delivered price:

Delivered price = $33,473.25

Rebate = $250

Down payment = $4,300

Amount due = $33,473.25 - $250 - $4,300 = $29,923.25

However, the above calculation assumes that the sales tax is calculated based on the MSRP of the car. If the sales tax is instead calculated based on the purchase price, the delivered price and amount due will be slightly different. Here are the revised calculations:

Purchase price = $30,875

Sales tax at 7% = 0.07 x $30,875 = $2,161.25

Extended warranty = $390

Registration fees = $128

Total cost = $30,875 + $2,161.25 + $390 + $128 = $33,554.25

Delivered price = $33,554.25

Rebate = $250

Down payment = $4,300

Amount due = $33,554.25 - $250 - $4,300 = $29,004.25

So, depending on how the sales tax is calculated, the delivered price and amount due may vary slightly.

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

i think B. the data is easily combined due to the closed questioning method.

Step-by-step explanation:

The advantage of a personal interview is that data is easily combined due to the closed questioning method

An interview is a discussion or conversation between a potential employer and a candidate.

Given is an advantage of personal interview.

A personal interview involves a face to face interaction between a recruiter and a candidate. The closed questioning method involves the selection of answers from the given multiple options for example - questions whose answers include a selection from yes or no. This helps in the easy collection of data since the answer given represents the direct and to the point idea about how an individual thinks.

Therefore, the advantage of a personal interview is that data is easily combined due to the closed questioning method

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Answer:

possibly 4 if not I'm sorry

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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Answer:

Step-by-step explanation:

there are 18 dogs

Answer:

14

Step-by-step explanation:

So the ratio of dogs (2) to cats (5) is 2:5

How did we go from 5 to 35?

Multiply by 7

So multiply 2 with 7 which is 14

So there are 14 dogs

Hope this helps!

Answer:

2/5 + 4/10

__4+4__

10

__8___

10

answer 8/10

Hello :D

To work this out you need the denominator to be the same. So, you multiply 2/5 by 2 which equals 4/10.

4/10 + 4/10 = 8/10

the value of Y is when X crosses the X axis.

The values of trigonometric-ratios in the given triangle whose legs are 4 and \(4\sqrt{3}\) are:

a)sinθ=0.5

b)cosθ=0.866

c)tanθ=0.577

What is trigonometric-ratios ?

A right angle triangle has six trigonometric ratios: Sin, Cos, Tan, Cosec, Sec, and Cot. Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent are their respective acronyms. These ratios show the ratio of various sides depending on the angle selected.

Given sides of triangle: 4 and \(4\sqrt{3}\)

hypotenuse=\(\sqrt{perpendicular^{2}+base^{2} }\)

                  =\(\sqrt{4^{2}+\((4\sqrt{3}) ^{2} }\)

                  =\(\sqrt{16+48}\)

                  =8

a)Sin θ=\(\frac{side opposite to the given angle}{hypotenuse}\)

Sin θ=\(\frac{4 }{8}\)

Sin θ=\(\frac{1}{2}\)

Sin θ=0.5

b)Cos θ=\(\frac{side adjacent to the given angle}{hypotenuse}\)

            =\(\frac{4\sqrt{3} }{8}\)

            =\(\frac{\sqrt{3} }{2}\)

            =\(\frac{1.732}{2}\)

Cos θ=0.866

c)tan θ=\(\frac{side opposite to the given angle}{side adjacent to the given angle}\)

            =\(\frac{4}{4\sqrt{3} }\)

            =\(\frac{1}{\sqrt{3} }\)

tan θ=0.577

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The average rate of change, in simplest form, is -2/5.

What is average rate ?

Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)

Using the coordinate points from the table (0,41) and (15,35)

Substitute the coordinate into the expression:

\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)

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Answer:

The surface area of the square pyramid is approximately 864.2 square centimeters.

Step-by-step explanation:

To solve for the surface area of a square pyramid, you need to find the area of the base and the area of each of the four triangular faces.

The area of the base is simply the square of the length of one side. So, for a base with edge lengths of 15 centimeters, the area of the base is:

15^2 = 225 square centimeters.

To find the area of each of the four triangular faces, you need to use the formula:

(area of triangle) = 1/2 x (base of triangle) x (height of triangle)

For a square pyramid, the height of each triangular face is equal to the slant height of the pyramid, which can be found using the Pythagorean theorem:

(hypotenuse)^2 = (height)^2 + (1/2 x base)^2

In this case, the height is given as 20 centimeters and the base is half of the base edge of the pyramid, or 7.5 centimeters. So, the slant height is:

hypotenuse = sqrt(20^2 + 7.5^2) = 21.3 centimeters

Now you can use this slant height to find the area of each triangular face:

(area of triangle) = 1/2 x (base of triangle) x (height of triangle)

= 1/2 x (15) x (21.3)

= 159.8 square centimeters

So, the total surface area of the square pyramid is:

225 (area of base) + 4 x 159.8 (area of each triangular face)

= 225 + 639.2

= 864.2 square centimeters.

Therefore, the surface area of the square pyramid is approximately 864.2 square centimeters.

The least-squares regression line is used to predict the values of one variable based on the values of the other variable. In this case, the Verbal score can be predicted from the Math score.

The formula for the least-squares regression line is: Verbal = a + b * Math, where a is the intercept and b is the slope. The least-squares regression line for predicting Verbal score from Math score can be determined using a calculator or a statistical software package.

Once the least-squares regression line has been determined, it can be used to make predictions about the Verbal score for a given Math score. For example, if a student scores 600 on the Math portion of the SAT, the least-squares regression line can be used to predict their Verbal score.

The least-squares regression line is a useful tool for analyzing the relationship between two variables. It can be used to identify patterns and trends, and to make predictions about future values.

However, it is important to remember that correlation does not equal causation, and that other factors may be influencing the relationship between the two variables. The least-squares regression line should be used as a starting point for further analysis, rather than as a definitive answer.

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Answer:

x = 2

y = 5

Step-by-step explanation:

There are multiple ways to solve this system, but the method I used was substitution.

Substitution is basically when you plug in one equation into the other equation, then solve.

First off, you would plug y=x+3 into 3x+y=11.

So now your new equation would be 3x+(x+3)=11.

Then you solve for x.

1. Eliminate redundant parentheses. Now the equation is 3x+x+3=11.

2. Combine like terms. Since 3x + x = 4x, the equation is now 4x+3=11.

3. Subtract 3 from both sides of the equation. The new equation is 4x=8.

4. Divide both terms by 4. The answer is x=2.

Since you now know what x equals, plug in what x equals into the previous equation that included y.

So now your new equation is y=2+3.

1. Add the numbers. The answer is y = 5.

I hope this helped, good luck learning more algebra!

Answer:

option d. is the correct answer