The EYE company spends $4,000,000 to refurbish its prescription-sunglasses factory. Each pair of sunglasses sells for $99. Labor and materials cost $30 per pair and marketing cost another $19 per pair. How many pairs of sunglasses, s, will the company need to sell so that it makes a profit?

Answers

Answer 1

The number of pair of sunglasses that the company needs to sell in order to make profit is 80,000.

What is Break-even Point?

In economics, business, and especially cost accounting, the break-even point is the point at which total cost and total income are equal, i.e. "even". There is no net loss or gain, and one has "broken even," despite the fact that opportunity costs were incurred and capital got the risk-adjusted, expected return.

In order to make profit the organization needs to be at breakeven. Therefore, firstly they need to make profit that is equal to the refurbish cost.

The Profit on per pair of glass =  Selling price per pair - Labor and material cost per pair - marketing cost per pair

The Profit on per pair of glass =  $99 - $30 - $19

The Profit on per pair of glass =  $50

Now, the breakeven point can be found as,

Break even quantity = Refurbish Cost / Profit on a pair of sunglasses

                                  = $4,000,000 / $50

                                  = 80,000

Hence, the company needs to sell  80,000 pair of sunglasses.

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Related Questions

PLEASE HELP NOW

Which formula can be used to find the volume of the cylinder? Check all that apply. A = ( d )( h ) V = B( h ) V = ( l )( w )( h ) V = 2( r )( h ) V = (pi) (r squared) (h)

Answers

Answer:

V=  (pi) (r squared) (h)

Step-by-step explanation:

Calculate the mean and standard deviation for the average yards rushed by
each player. Then graph the data (use the mean for each player and SD for error bars).

Compare and contrast the mean rushing yards Dillon and Corey.

What does the SD indicate about the mean rushing yards for each player?

Answers

Question:

A sample of cans of peaches was taken from a warehouse, and the content of each can mearsed for weight. the sample means was 486g with stand deviation 6g. state the weight percentage of cans with weight:

Draw normal curve to help - split into 8 section ( i can't draw it here)

a) 34.13% of cans will be between 480g and 486g.

b) 13.59 + 2.15 + 0.13= 15.87% of cans greater than 492g.

Look at the Stand Dev Graph where the give you the number

Step-by-step explanation:

Let me give you a different question and i will answer it, which you help you answer your question.

One of the reasons to use the bootstrap method is because the formula for the confidence interval is too hard to derive. Group of answer choices True False

Answers

The confidence interval formula is extremely complicated to derive, which is one of the justifications for using the bootstrap approach. this statement is true.

What purposes serve the bootstrap method?

A resampling technology named the bootstrap can be used to sample a dataset using replacement to calculate statistics on a group. Estimating summary statistics like the mean or standard deviation may be done using it.

The advantages of the bootstrap method

The benefits of bootstrapping include its simplicity in estimating standard errors and confidence intervals as well as its cost-effectiveness in avoiding the need to conduct the operation to get additional groups of sampled data.

Therefore it can be concluded that the said query statement is true.

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The ratio of boys and girls in a class with 40 students = 3:2. If 4 new boys are added, what will be the new ratio?

Answers

Answer: 7:4

Step-by-step explanation:

40 boys and girls 3:2 = 24 boys + 16 girls

4 boys are added  28 boys + 16 girls /4  = 7:4

Answer:

7:11

Step-by-step explanation:

We know the total number of students and the ratio of boys to girls.  The total for the ratio of boys and girls would be 5 (3+2).  Now we can set up proportions knowing these numbers.

b = 3

g =2

t =5

Let's find out how many actual boys there are by setting up a proportion

3/5 = b/40  

I will look at the denominators to find x.  5 times what gives me 40? (8).  So, I will multiple the top number (numerators).  Since I need to multiple the bottom number by 8 to get the number 40, I will now multiple the top number by 8 and get 24.

Now, I know how many actual boys and girls were in the original class.  There were 24 boys, 16 girls (40 - 24) and 40 total students.  

Now I will take this new information and apply it to the new situation.  Now I have 28 boys (24 + 4) and a new total 44.

The ratio of boys to girls would not be 28: 16 or 7:4

which unit of measure would be appropriate for the volume of a sphere with aradius of 2 meters?

Answers

Answer:

The unit of measuring volume of the sphere is cubic meters.

Tara has 4 and 4 over 5 feet of rope.

part a: how many 2 over 5 foot pieces can tara cut from the 4 and 4 over 5 feet of rope? show your work. (5 points)

part b: using the information in part a, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

the answer box is a writing thing so might have to explain it differently

Answers

Part A - Tara cuts [tex]12[/tex] pieces of [tex]2/5[/tex] from [tex]4\frac{4}{5}[/tex] feet of rope.

Part B - The quotient means the amount of foot pieces so it is [tex]12[/tex] foot pieces.

How can we find the foot pieces of [tex]2/5[/tex] from [tex]4\frac{4}{5}[/tex]  rope. ?

from part A

we solve the fraction

[tex]4\frac{4}{5} =24/5[/tex] rope

And Tara needs to pieces of [tex]2/5[/tex] foot

So we need to divide

[tex]\frac{24/5}{2/5} \\=\frac{24}{5} *\frac{5}{2} \\=\frac{24}{2} \\=12[/tex]

For part B

When we using the information from part A we decide that the quotient means the amount of foot pieces Tara can cut from the [tex]4\frac{4}{5}[/tex] feet of rope.

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Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
PLEASE HELP WITH PART B ASAP

Answers

The explanation about the graph is illustrated below.

How to illustrate the graph?

The graph shows 0 to 30 on the x-axis at increments of 5 and 0 to 12 on the y-axis at increments of 1. The label on the x-axis is Temperature in degrees C, and the label on the y axis is the Number of Sweaters Sold.

If you will draw lines through, (12.5,6) and (15,4), it will best represent a line of best fit, because most of the points on the same and opposite sides of line are equidistant from each other.

Equation of line passing through (12.5,6) and (15,4) A line of best is the line that passes through all or some points or only through a single point, which describes the relationship between x and y values of data set

4x + 5y = 80

5y = -4x + 80.

y = -4x/5 + 16

Slope = -4/5 and y intercept is 16.

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A zoologist researched the feeding habits of lemurs. she collected data by studying the lemurs in a zoo exhibit for a one-month period and drew conclusions based on her data. what kind of statistical study did the zoologist conduct?

Answers

The  kind of statistical study the zoologist conducted was D. observational study.

What is observational study in research?

An observational study  serves as a study  whereby the researcher simply observes the subjects without interfering with it.

This is different from carrying out experiment on them or just a theoretical approach.

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CHECK THE COMPLETE QUESTION BELOW:

A zoologist researched the feeding habits of lemurs. She collected data by studying the lemurs in a zoo exhibit for a one-month period and drew conclusions based on her data. What kind of statistical study did the zoologist conduct? A. survey B. theoretical study C. experiment D. observational study

Help me solve this problem on arithmetic and geométrica sequences

Answers

Answer:

math math math math math math math math math math

4.10.1 checkup, answer questions about the unit circle

Answers

Using the unit circle, the correct answer regarding the comparison of angles w and t is given by:

a. t > w.

What is the unit circle?

For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].

From this, we get that the sine is represented by the vertical axis. As we advance into the second quadrant, as the angle increases, sine decreases. Hence, since sin w > sin t, we have that t > w and option a is correct.

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Determine the area of the figure.

Answers

Answer: 3x - 6 (in^2)

Step-by-step explanation:

base * height / 2

=

3 ( 2x - 4) / 2 (in^2)

= 3x - 6 (in^2)

Answer: 3x-6 in^2

Step-by-step explanation:

There is no way to figure out what x is without additional information, so you have to leave the answer in this form

Who am I ?
- My thousands digit is 4
- My hundreds digit is 4 less than the digit in the thousands place
- The sum of my tens digit and ones digit is 7
- My tens digit is 3 more than my ones digit
- The digits in the thousands period have a sum of 10
- My first digit is half the digit that immediately follows it.
I am the number_______________

Answers

I am the number 4052. It is rather confusing and i cannot promise that it is correct. Hope it helps : )

Use the drop-down menus to complete each equation so the statement about its solution is true. CLEAR CHECK No Solutions 3x 9 4x x

Answers

The complete equation so that the statement is true is 3x+9+4x+x= 8x + 1

How to complete the equation?

The equation is given as:

3x+9+4x+x=

Represent the blank with y

So, we have:

3x + 9 + 4x + x = y

Evaluate the like terms

8x + 9 = y

For the equation to have no solution the value of y and 8x + 9 must not be equal.

Take for instance

y = 8x + 1

So, we have:

8x + 9 = 8x + 1

Subtract 8x from both sides

9 = 1

The above equation is false because 1 and 9 are not equal

Hence, the complete equation so that the statement is true is 3x+9+4x+x= 8x + 1

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Complete question

Use the drop-down menus to complete each equation so the statement about its solution is true.

No Solutions

3x+9+4x+x=

The equation -2x − y = -4 shows the budget for spending on supplies over the next few weeks. If the total money (y) decreases every week (x), how many weeks will it take for the budget money to run out?

Answers

The number of weeks it will take for the budget money to run out is; 2 weeks.

How many weeks will it take for the money to run out?

The number of weeks it would take for the budget money to decrease till it runs out as required in the task can be interpreted as the x-value which corresponds to a Y-value of zero.

Hence, by setting y=0; we have;

-2x -0 = -4

-2x = -4

Divide both sides of the equation by; -2.

x = 2

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solve this pls>>>>>>>there’s a pic

Answers

Answer:

x = 5, 1

Step-by-step explanation:

To solve for x, you must factor the equation. The factored equation will be: (x - 1) (x - 5) = 0. After factoring, isolate the two factored equations: (x - 1) = 0 and (x - 5) = 0. Then solve for x for both the equations which should get you to x = 5, 1.

This is confusing me please someone help

Answers

Answer:

The distance from the plane to the observer tower is 7.7 km

Step-by-step explanation:

We are given two sides and one angle opposite to one of the known sides.

In order to find the missing side we need to use the law of sines.

Step 1

Find the angle opposite to the second known side, let it be x.

sin 68°/7.5 = sin x /5.2sin x = 5.2 sin 68°/7.5sin x = 0.64 (rounded)x = arcsin 0.64x = 39.8°

Step 2

Find the missing third angle y, using angle sum theorem:

68° + 39.8° + y = 180°107.8° + y = 180°y = 180° - 107.8°y = 72.2°

Step 3

Find the required side length z, the distance from the plane to the observer tower, using the law of sines again.

Note. At this point you can use the law of cosines as we have found the angle between the known sides.

sin 68°/7.5 = sin 72.2°/zz = 7.5 sin 72.2°/sin 68°z = 7.7 km (rounded)

So the required distance is 7.7 km

How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?
triangle(s)

Answers

Using the law of sines, it is found that 1 triangle can be formed with the given conditions.

What is the law of sines?

Suppose we have a triangle in which:

The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

Hence, for this problem, we have that the relation is:

[tex]\frac{\sin{64^\circ}}{10} = \frac{\sin{G}}{9}[/tex]

[tex]\sin{G} = 0.9\sin{64^\circ}[/tex]

[tex]\sin{G} = 0.8089[/tex]

[tex]G = \arcsin{0.8089}[/tex]

G = 54º

A triangle can have one angle of 64º and another of 54º, hence 1 triangle can be formed with the given conditions.

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What is the nature of the solution set to the following system of equations?

4x + 3y = 2

3x − 2y = 10

Answers

The solution to the system of equations is one solution at (2, -2)

How to determine the solution set?

The system of equations is given as:

4x + 3y = 2

3x − 2y = 10

Multiply (1) by 2 and (2) by 3.

So, we have:

8x + 6y = 4

9x − 6y = 30

Add both equations

17x = 34

Divide by 17

x = 2

Substitute x = 2 in 3x − 2y = 10

3(2) − 2y = 10

Solve for y

y = -2

Hence, the solution to the system of equations is one solution at (2, -2)

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Sketch the curve y = \sqrt{x+3} .
Find the area bounded by the curve, X-axis and Y-axis.
I get the first part but not the second part.

Answers

The area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3

How to determine the area bounded by the curve, x-axis and y-axis?

The curve is given as:

y = √(x + 3)

The area bounded by the curve, x-axis and y-axis is when x = 0 and y = 0

When y = 0, we have:

0 = √(x + 3)

This gives

x = -3

So, we set up the following integral

A = ∫ f(x) d(x) (Interval a to b)

This gives

A = ∫ √(x + 3) d(x) (Interval -3 to 0)

When the above is integrated, we have:

A = 1/3 * [2(x + 3)^(3/2)] (Interval -3 to 0)

Expand

A = 1/3 * [2(0 + 3)^3/2 - 2(-3 + 3)^3/2]

This gives

A = 1/3 * 2(3)^3/2

Apply the law of indices

A = 2(3)^1/2

Rewrite as:

A = 2√3 or 3.46

Hence, the area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3

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In a recent poll, 230 people were asked if they liked dogs, and 90% said they did. Find the margin of error of this poll, at the 99% confidence level.

Answers

The margin of error of this poll is

Given that 230 people were asked if they liked dogs, and 90% said they did.

In a random sample, a margin of error is a statistical measure that takes into account the discrepancy between actual and expected results.

Sample size (N)=230

Sample proportion  [tex](\hat{p})[/tex] = 90% = 0.90  and

confidence interval = 99%

The critical value at 99% confidence interval with α=0.01 is

[tex]\begin{aligned}Z_{c}&=Z_{1-\frac{\alpha}{2}}\\ &=Z_{1-\frac{0.01}{2}}\\ &=Z_{0.995}\\ &=2.576\end[/tex]

This value is taken from the Standard normal distribution table.

Now, we will calculate the margin of error (E) by using the formula

[tex]E=Z_{c}\sqrt{\frac{\hat{p}(1-\hat{p})}{N}}[/tex]

Substituting the values in the formula, we get

[tex]\begin{aligned}E &=2.576\times \sqrt{\frac{0.90(1-0.90)}{230}}\\ &=2.576\times \sqrt{\frac{0.09}{230}}\\ &=2.576\times\sqrt{0.00039}\\ &=2.576\times 0.0197\\ &=0.0507\end[/tex]

Hence, the margin of error when 230 people were asked if they liked dogs, and 90% said they did is 0.0507.

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A worker at a shoe factory is required to box at least
8
pairs of shoes per minute, but is not allowed to box more than
12
pairs of shoes per minute. According to this information, what is a possible amount of time, in minutes, that it could take the worker to box
168
pairs of shoes?

Answers

The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

A worker at a shoe factory is required to box at least 8 pairs of shoes per minute, and not more than 12 pairs of shoes per minute.

For 168 pairs of shoe:

Maximum time = 168 pair / 8 pairs per minute = 21 minutes

Minimum time = 168 pair / 12 pairs per minute = 14 minutes

The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.

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A card is randomly chosen from the cards in the image. Find the probability of choosing the cards with either Q or R on them.
P(Q or R) = ________

Answers

The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.

Given that a card is randomly chosen from 8 cards shown in figure.

We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.

Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

Number of cards=8

Number of repeated cards=0

Number of cards showing Q and R =1 each.

Probability of getting Q or R is P(X=Q)+P(X=R)

= 1/8+1/8

=2/8

=1/4

=0.25

Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.

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One student can paint a wall in 12 minutes. Another student can paint the same wall in 24minutes. Working together, how long will it take for them to paint the wall?

Answers

Answer:

8 minutes.

Step-by-step explanation:

We work in fractions of the wall they can paint in 1 minute, so

1/12 + 1/24 = 1/x  where x is the time it takes when working together.

Multiplying through by 24x:

2x + 1x = 24

3x = 24

x = 8 minutes.

From Andys house to Billys hometown you can travel by 3 roads. And to get from Billys hometown to Willies's house you can travel by 5 roads. How many possible wats are there to travel from andys house to willies house?

Answers

Using the Fundamental Counting Theorem, there are 15 ways to travel from Andy's house to Willie's house.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For this problem, the parameters are:

[tex]n_1 = 3, n_2 = 5[/tex].

Hence the number of ways is:

N = 3 x 5 = 15.

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Which expression could help you find the distance between –1 and 3 on the number line?

Answers

Answer:

|-1| + |3|

Step-by-step explanation:

We can use absolute values to find the distance between positive and negative numbers on a number line.

|-1| + |3| =

Keep in mind that

- the absolute value of a positive number is positive and

- the absolute value of a negative number is positive

1 + 3 =

4 units

|-1| + |3| this could be the correct answer

1.rani was selling flowers. each day she made 7 bouquets by arranging 8 roses and 6 marigolds in each bouquet. each bouquet was sold for rs.85. a) find the number of marigolds used in a day. b) find the total number of flowers used by using suitable property of whole numbers. c) if she sold 42 bouquets in a whole week, find the amount she earned. 2. by suitable rearrangement, find the value of a) 819 + 364 + 181 + 436 b) 20 x 348 x 50 3. using suitable property find the value of 492 x 13 + 492 x 37 4. a) name the property 86 + 65 = 65 + 83 b) the multiplicative identity of whole numbers is ______ 5. find the next two numbers in the pattern 1,1,2, 3,5,8, ______, ________

Answers

1.(a) The number of marigolds used in a day is 42.

 (b) The total number of flowers used by using suitable property of whole numbers is 98.

 (c) She earned Rs. 3570

2.(a) The value of [tex]819 + 364 + 181 + 436[/tex] is 1800.

 (b) The value of [tex]20 \times 348 \times 50[/tex] is 348000.

3. The value of [tex]492 \times 13 + 492 \times 37[/tex] is 24600.

4.(a) Name the property 86 + 65 = 65 + 86 is commutative property.

 (b) The multiplicative identity of whole numbers is 1.

5. The next two numbers in the pattern 1,1,2, 3,5,8 are 13 and 21.

1. (a) The number of marigolds used in a day is 42.

Rani made 7 bouquets on each day by arranging 8 roses and 6 marigolds in each bouquet. So number of marigolds used in a day is 7×6 = 42.

  (b) The total number of flowers used by using suitable property of whole numbers is 98 flowers used by using distributive property.

What is distributive property of whole numbers?

The distributive property of multiplication states that when multiplying a number by the sum/difference of 2 numbers, the final value is equal to the sum/difference of each addend multiplied by the third number.

Distributive property = a×(b+c) = a×b+a×c

Total number of flowers = 7×(8+6) = 7×14 = 98.

(c) If she sold 42 bouquets in a whole week, find the amount she earned is  rs.3570.

Each bouquet was sold for Rs.85. Then she earned a whole week off = 42×85 = rs.3570.

2. (a)  By suitable rearrangement, the value of 819 + 364 + 181 + 436 is 1800.

Rearrangement of the given numbers = (819+181)+(364+436)

                                                               = 1000+800

                                                               = 1800    

   (b)  By suitable rearrangement, the value of 20 x 348 x 50 is 348000.

Rearrangement of the given numbers = 348×(50×20)

                                                               = 348×1000

                                                               = 348000  

3.  Using suitable property find the value of 492 x 13 + 492 x 37 is 24600 by using distributive property.

By using distributive property = 492 x 13 + 492 x 37

                                                   = 492×(13+37)

                                                  = 492×50

                                                  = 24600

4. (a) Name the property 86 + 65 = 65 + 86 is commutative property.

What is commutative property?

This law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.

By using commutative property,  a+b = b+a

   86 + 65 = 65 + 86

          151 = 151                            

   (b)  The multiplicative identity of whole numbers is 1.

Multiplying a whole number by 1 equals that identical number, the whole number 1 is called the multiplicative identity.

5.  The next two numbers in the pattern 1,1,2, 3,5,8,?,? are 13 and 21.

Just add the no before the given no then you will get the pattern. example first no=1 and no before it is 0

1+0=1

1+1=2

2+1=3

3+2=5

5+3=8

8+5=13

Hence, The next two numbers for the given series are 13 and 21.

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Solve F=gm1*m2/d2 for g

Answers

The expression for g in terms of other variables is g = Fd^2/m1m2

Subject of formula

Given the expression below as shown

F=gm1*m2/d2

We are to make g the subject of the formula

F=gm1*m2/d2

Cross multiply

Fd2 = gm1m2

Divide both sides by m1m2

Fd^2/m1m2 = g

g = Fd^2/m1m2

Hence the expression for g in terms of other variables is g = Fd^2/m1m2

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How much does a $5.40 lunch cost if it is discounted by 10%

Answers

Answer:

$4.86

Step-by-step explanation:

Original price: $5.40

Discount: 10%

Discount amount:

10% of $5.40 = 0.1 × $5.40 = $0.54

Discounted price:

$5.40 - $0.54 = $4.86

Answer:

$4.86

Step-by-step explanation:

There are two approaches to this problem.

1:

You can multiply the original value by 10% and subtract it from the original value. In this case, $5.40-(5.40×10%). This becomes $5.40-$0.54. This is $4.86.

2:

You can simply multiply the original value by 90%. In this case, $5.40×90%. This also becomes $4.86.

Can someone please help

Answers

Solving the given equation, the value of v that makes the statement true is:

A. v = 8.

What is the given equation?

The equation is:

[tex]12 = 12 + \frac{v - 8}{2}[/tex]

Hence:

[tex]\frac{v - 8}{2} = 0[/tex]

Applying cross multiplication:

v - 8 = 0

v = 8.

Hence option A is correct.

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Solve this system of equations using the substitution method
y = 2x + 17
y = 6x - 3

Answers

Step-by-step explanation:

well, as you can witness both of the equations are equal to y, so you're free to reckon that they are equal as well

[tex]6x - 3 = 2x + 17 = = = > \\ 4x = 20 = = = > x = 5 \: and \: \\ y = 6(5) - 3= = = > y = 27[/tex]

Answer:

<3

Step-by-step explanation:

5, 27 is right on acellus

x=5

y=27

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