A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
O 2y = 16x +14
O y = 8x - 7
O y = -8x + 7
O 2y = -16x - 14
​

Answer:

C. Subtract 4 from both sides.

Step-by-step explanation:

You need the equation in the form x² + ax + b = 0 to then either try factoring or use the quadratic formula.

In order to achieve that, you need to first:

Subtract 4 from both sides.

Answer:

86-14x

Step-by-step explanation:

4(x+8)+9(6-2x)

4x-18x+54

4x-18x+86

-14x+86

86-14x

The two other two vertices will be (6, 10) and (8, 10)

A rectangle is a 2-dimensional shape with equal opposite sides. The formula for calculating the area is given as:

Area = length * width

Given;

Area = 18 square units

Length = x2 -x1 = 8 -6
length = 2 units

Determine the width

Width = A/l

Width = 18/2
Width  = 9 units

Hence the two other two vertices will be (6, 10) and (8, 10)

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There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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Answer:

-9/4 divide (-2/3)

Step-by-step explanation:

Answer:

4/8ths

Step-by-step explanation:

2/8ths = 1/4

2/4ths = 1/2

Answer:

- \(\frac{3}{16}\)

Step-by-step explanation:

Given

\(\frac{3}{8}\) × - \(\frac{3}{6}\) ← simplify this fraction

\(\frac{3}{8}\) × - \(\frac{1}{2}\) ← multiply values on numerator/ denominator together

= - \(\frac{3(1)}{8(2)}\)

= - \(\frac{3}{16}\)

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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-2x + 6 + 6x = 6 (2x - 3) this is the equation

-2x + 6 + 6x = 12x - 18 distributive property has been applied

4x + 6 = 12x - 18 like terms have been added

6 = 8x -18 4x has been subtracted from both sides

24 = 8x -18 has been added to both sides

3 = x 8 has been divided from both sides

I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!

Answer:

(b) more than twice as much y as x

Step-by-step explanation:

At all incomes for which Harold consumes positive amounts of both goods, he will consume more than twice as much y as x.

To see this, we can consider the budget constraint that determines the amount of x and y that Harold can afford to consume. Let I be Harold's income and px and py be the prices of x and y, respectively. Then the budget constraint can be expressed as:

I = px * x + py * y

Substituting the given values for I, px, and py, we get:

I = 1 * x + 2 * y

This equation represents a line in the xy-plane, with slope -2 and y-intercept I/2. This line represents the set of all combinations of x and y that Harold can afford to consume, given his income and the prices of x and y.

Since the utility function U(x,y) = (x+3)(y+2) is a positive linear transformation of x and y, it follows that the slope of the budget constraint will be equal to the slope of the indifference curve at any point on the budget constraint. Therefore, the slope of the budget constraint (-2) represents the relative amounts of x and y that Harold will consume.

Since the slope of the budget constraint is negative, Harold will consume more y than x. Moreover, since the absolute value of the slope is greater than 1, Harold will consume more than twice as much y as x.

Therefore, the correct answer is (b) more than twice as much y as x.

I hope this helps! Let me know if you have any other questions or need further assistance.

Answer:

0% probability that a customer will be exactly 7.50 minutes in the record store.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

The probability of finding a value between c and d is:

\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.

Uniformly distributed between 3 and 12 minutes.

This means that \(a = 3, b = 12\)

What is the probability that a customer will be exactly 7.50 minutes in the record store?

Continuous distribution, so:

0% probability that a customer will be exactly 7.50 minutes in the record store.

Answer:

a) The reorder point necessary to provide a 95 percent service probability is 1557 units.

b) The Z value of 0.74 corresponds to 77% service probability.

Step-by-step explanation:  

Average weekly demand (d) = 315 units  

The standard deviation of weekly demand (\sigmad) = 90 units  

Lead time (L) = 4 weeks  

At 95% service level value of Z = 1.65  

Reorder point = d x L + safety stock  

\(= d \times L + (Z \times \sigma d \times \sqrt L)\\\\= 315 x 4 + (1.65 x 90 x \sqrt 4)\\\\= 1260 +(1.65 x 90 x 2)\\\\= 1260 + 297\\\\= 1557 units\)

b) Earlier the safety stock was 297 units(calculated in part a)

Now the safety stock is reduced to 55%.so,55% of 297 = 163.35 units  

So the new safety stock = 297 - 163.35 = 133.65  

\(Safety stock = Z \times \sigma d \times \sqrt L\\133.65 = Z x 90 x 2\\133.65 = 180Z\\ Z = 133.65/180\\Z = 0.74\)  

The Z value of 0.74 corresponds to 77% service probability.

Answer:

5 times as many

BRAINLIEST, please!

Step-by-step explanation:

I'd need more information about how many students there are at one of the schools. For example, if there are 200 students at Park Elementary, then there are 1000 at Lane High School since 200 x 5 = 1000. 1000 - 200 is 800, so there would be 800 more students at Lane High.

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

If the required reserve ratio is 10 percent, currency in circulation is $1,200 billion, checkable deposits are $1,600 billion, and excess reserves total $2,500 billion

Given that

Reserve ratio is 10 percent

Currency in circulation is $1,200 billion

Checkable deposits are $1,600 billion

Excess reserves total $2,500 billion

Here we are calculating M1 measure of money supply

C: Currency in circulation

D: Checkable Deposits

M1=C+D = 1200+1600= 2800

C: Currency in circulation

D: Checkable Deposits

Currency Deposit Ratio= C/D = 1200/1600 = 0.75

ER: Excess Reserves

CD: Checkable Deposits

Excess Reserve Ratio= ER/CD= 2500/1600 = 1.56

The formula for the M1 money multiplier is:

M1 money multiplier= M1/MB

M1 money multiplier= C+D / R+C

M1 money multiplier= C+D / q∗D+ER+C

M1 money multiplier= (1,200+1,600) / (0.1∗1,600+2,500+1,200)

M1 money multiplier= 0.73

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Answer:

4(sin^2(x) -2sin^2(x/2))

Step-by-step explanation:

Matter of factorising

Answer:

It is 4(cos(x)-cos^2(x))

Step-by-step explanation:

I used an app on chegg and found that this is the only answer that is equivalent

Answer: 2.68cm²

Step-by-step explanation:

The front face has surface area 4x11 = 44mm². The one facing the left has surface area 6x4 = 24mm². Finally, the one facing upwards has surface area 11x6 = 66mm². Adding these up, we get 134mm² for the three faces we can see. Double this for the ones which are hidden and we get 268mm², or 2.68cm².

Answer:

62 year old is he is right

Answer:

Step-by-step explanation:

let the paul age be x

and steve age also be x+1

x+1+x=61

2x+1=61

2x=61-1

x=60/2

x=30

so steve is 31 years.

The probability that the student selected is 5/8.

According to the question,

We have the following information:

A class consists of 30 women and 18 men.

Now, total students in the class = Number of women + number of men

Total students = 30+18

Total students = 48

Now, the probability that the student is a woman:

Probability of an event = Number of women/total number of students

30/48

(More to know: probability of an event can not be greater than 1.)

Now, converting this into the simplest form by dividing both the numerator and denominator by 6:

5/8

Hence, the probability that the student selected is 5/8.

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Answer:

No, the table is not linear.

Step-by-step explanation:

Between the x and y there has to be a constant rate. There is no constant rate.

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Hey there! I'm happy to help!

Let's call our number n.

The word sum means to add.

Therefore....

n+5

Have a wonderful day! :D

The program is an illustration of loops.

Loops are used to perform iterative and repetitive operations.

The program where comments are used to explain each line is as follows:

public class MyProgram extends ConsoleProgram {

   public void run()     {

//This prompts the user for the number of times to repeat the message

       echo("Anybody home?", readInt("Times to repeat: "));

   }

    private void echo(String lineOne, String lineTwo, int numTimes)     {

//The following iteration is repeated numTimes times

       for (int i = 0; i < numTimes; i++){

//This prints lineOne

       System.out.println(lineOne);

//This prints lineTwo

       System.out.println(lineTwo);

       }

   }

}

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The graph of the function is attached and the amplitude and the period are 5 and 2π

From the question, we have the following parameters that can be used in our computation:

f(x) = 5cos(θ)

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

So, we have

A = 5

Period = 2π/1

Evaluate

A = 5

Period = 2π

Hence, the amplitude is 5 and the period is 2π

The graph of the function is attached

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Answer:

Step-by-step explanation:

10.5c>or equal to 1260

Answer:

I don't see any inequality or a question.

Step-by-step explanation:

I suspect you want to know the minumum number of cups to sell in order to raise $1000 and pay off the company its $260

        c(10.5) - 260 > 1000

                     c  >  (1000 + 260) /10.5

                     c >  120 cups

The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

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Answer:

2 scoops of fruity powder:6 cups of water will not test the same as Amar's recipe

Step-by-step explanation:

Ratios

The proportion or ratios between variables measure the relative quantities of them by doing a division, usually expressed as fractions or a colon-separated pair of numbers.

To make fruit punch, Amar mixes 1 scoop of fruity powder with 5 cups of water. The ratio of fruity powder to water is 1:5.

We must select which recipe from the list won't produce the same ration and therefore will not taste the same as Amar's:

2 scoops of fruity powder:6 cups of water gives a ratio of 2:6. Simplifying by 2, the ratio is 1:3. This recipe will not test the same as Amar's.

2 scoops of fruity powder:10 cups of water gives a ratio of 2:10. Simplifying by 5, the ratio is 1:5. This recipe will test the same as Amar's.

0.5 scoop of fruity powder:2.5 cups of water gives a ratio of 0.5:2.5. Multiplying by 2, the ratio is 1:5. This recipe will test the same as Amar's.

5 scoops of fruity powder:25 cups of water gives a ratio of 5:25. Dividing by 5, the ratio is 1:5. This recipe will test the same as Amar's.

Answer:

2 scoops of fruity powder:6 cups of water will not test the same as Amar's recipe

9514 1404 393

Answer:

  x = 30°

Step-by-step explanation:

The lines will be parallel if and only if the sum of the marked angles is 180°:

  4x +2x = 180°

  6x = 180° . . . . . collect terms

  x = 30° . . . . . . . divide by 6

Answer:

9.256×10^−12

Step-by-step explanation:

to get standard notation we have a number less ten.

since it is a very small number it has a negative exponent

The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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