5,049 +48=105
MD Model with Mathematics A comic store sells two rare
comic books for $1,824. The price of one comic book is
11 times as much as the price of the other.
• 'Write an equation to model the price of the less expensive
comic book. Then find the price.
• Write an equation to model the price of the more expensive
comic book. Then find the price.

Answers

Answer 1
Solution (a) :-

Let the cost of the less expensive comic book be x .

Then :-

[tex]1284 - 11x = x[/tex]

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

[tex]1284 - 11x = x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = \frac{1284}{12} [/tex]

[tex]x = 107[/tex]

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

Solution (b) :-

Cost of the more expensive book = 11x

Which means :-

[tex]1284 - x = 11x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = 107[/tex]

[tex]11x = 11 \times 107[/tex]

[tex] = 1177[/tex]

Therefore , the price of the more expensive book = $ 1177 .


Related Questions

Is 1.994 greater or lesser than 1.493

Answers

Answer:

greater than

Step-by-step explanation:

1.994 is closer to 2 than 1.493 so it is greater!

Consider the following.

P = −0.1s3 + 6s2 + 400.

Required:
a. Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars).
b. Find the point of diminishing returns.

Answers

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars

The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates

point S.

Answers

Answer:

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Step-by-step explanation:

Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:

[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)

Now clear S in the previous expression:

[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)

Then, the coordinates of point S are:

[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]

[tex]S(x,y) = (8, -18)[/tex]

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

25x 10 ^ 6 in standard form ​

Answers

25x10⁶ = 2.5x10⁷=25000000

#Learn more

-34/51 in standard form​

brainly.in/question/12244412

Canoe rentals cost $10 plus $4 per hour. A group of friends rent 3 canoes for 3 hours. what is their total cost.

Answers

Answer:

42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

$10 * 3 canoes = $30

$4 * 3 hours = $12

30 + 12 = $42

Kane is training for a marathon. He starts by running 3 miles during every training session.

Each week plans to increase the distance of his run by mile.
1/4
Let w be the number of weeks. Write an expression to show the distance Kane
runs in a training session after w weeks.

Answers

Answer:

1/4w + 3 the answer has to be 20 characters long so ignore this

Answer:

Step-by-step explanation:

Given

Required

Determine the distance for w weeks

This will be calculated using the following Arithmetic progression formula

Where

Substitute these values

Open Bracket

Collect Like Terms

Take LCM

si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total​

Answers

Answer:

$90

Step-by-step explanation:

10% de 100 es 10; 100-10=90

Answer:

90 pesos

Step-by-step explanation:

10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.

Si necesitas que te lo explique mas, dime y te ayudare :)

if angle two equals 130 find the measure of angle 6 in the answer is not 130 or 50 wilmart brainiest ​

Answers

Answer:

∠6 = 130°

Step-by-step explanation:

the answer is 130.. because its a corresponding angles

that means corresponding angles are equal

∠2 = ∠6 = 130°

Select all the possible (x,y) coordinates for the following linear equation y=3x+2

Answers

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

Lauren is running for president of the student government at UTD. The proportion of voters who favor Lauren is 0.8. A simple random sample of 100 voters is taken. What are the expected value, standard deviation, and shape of the sampling distribution of proportion (, respectively?

Answers

Answer:

 [tex]\mu_{x} = 0.8[/tex]

   [tex]\sigma  =  0.095  [/tex]  

  The shape of this sampling distribution is approximately normal

Step-by-step explanation:

From the question we are told that

  The population proportion is [tex]p = 0.8[/tex]

  The sample size is  n = 100

   

Generally the expected value of this sampling distribution is mathematically represented as

          [tex]\mu_{x} = p = 0.8[/tex]

Generally the standard deviation of this sampling distribution is mathematically represented as

    [tex]\sigma  =  \sqrt{ \frac{p(1- p )}{n } } [/tex]

=>  [tex]\sigma  =  \sqrt{ \frac{0.8 (1- 0.8 )}{100 } } [/tex]    

=>  [tex]\sigma  =  0.095  [/tex]      

Generally given that the sample is  large (i.e  n  >  30 ) and the standard deviation is finite then the shape of this sampling distribution is approximately normal

convert 2 3/7 to an improper fraction​

Answers

Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...

Step-by-step explanation:

Select the correct answer What is the solution for in the equation? 4+ 5x-7 = 10+ 3x-2 * Y Lee R=###​

Answers

Answer:

x=11/2

Step-by-step explanation:

4+5x‒7=10+3x‒2

5x‒3=8+3x

5x‒3x=8+3

2x=11

2x/2=11/2

x=11/2

Answer:

x=11/2

Step-by-step explanation:

Use the number line below, where RS=9y+2, ST=2y+6, and RT= 52

Answers

Answer:

Step-by-step explanation:

Given

RS=9y+2, ST=2y+6, and RT= 52

The addition postulate is true for the number line.

RS+ST = RT

Substitute

9y+2+(2y+6) = 52

9y+2y+8 = 52

11y = 52-8

11y = 44

y = 44/11

y = 4

Find RS

RS = 9y+2

RS = 9(4)+2

RS = 36+2

RS = 38

Find ST:

ST = 2y+6

ST = 2(4)+6

ST = 8+6

ST = 14

Hence y = 4, RS = 38 and ST = 14

Which sentence can represent the inequality

Answers

c might be the correct answer try it :)

The function C(x)=16x+4,200 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $40?

Answers

Answer:

175

Step-by-step explanation:

PLEASE HELP!!! 30 POINTS
Solve the inequality for x. Show each step of the solution.
12 + 7 > 9(2 − 3)− 8

Answers

Answer:

True

12+7>9(2-3)-8

19> (-9)-8

19>-17

Step-by-step explanation:

Answer:

12+7=19 and 9(2-3)-8=-17

Step-by-step explanation:

Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?

A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell

Answers

Answer:

B. Plant cell

Step-by-step explanation:

Prokaryotic cells do not contain an enclosed nucleus or chloroplast

Red blood cells do not contain chloroplast

Animal cells do not contain chloroplast

Which expression is equivalent to - 3/4 divided (-8/12)

Answers

Answer:

3/4

Step-by-step explanation:

There are no answer choices so I just solved the equation

-3/4 divided by -8/12

Flip -8/12 to -12/8

Multiply -3/4 by -12/8

24/32

Simplify.

12/16

Simplify some more.

6/8

Simplify even more.

3/4

Hope I helped :)

Please consider Brainliest

marcos is making three tile pictures.​

Answers

Answer: 360

Step-by-step explanation:

310 + 50 = 360

Answer:

1710

Step-by-step explanation:

310 x 3 = 930

260 x 3 = 780

930 + 780 = 1710

The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years? an arithmetic series a geometric series a series that is neither arithmetic nor geometric a series that is both arithmetic and geometric
an arithmetic series
a geometric series
a series that is neither arithmetic nor geometric
a series that is both arithmetic and geometric

Answers

Answer:

a geometric series

Step-by-step explanation:

Given a central angle of 252° and an arc length of 44 ft, determine the radius.

Answers

Answer:

10ft

Step-by-step explanation:

Given parameters:

Central angle  = 252°

Arc length  = 44ft

Unknown:

Radius = ?

Solution:

To find the radius of the circle, let us use the expression;

       Arc length  = [tex]\frac{central angle}{360}[/tex] x 2πr

 Insert the parameters and solve for r,

         44  = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r

          44  = 4.4r

               r  = 10ft

If i read a book for 25mins and it took me 1/23 longer to read how long did it take me to read the second book

Answers

25×1/23=1.08695652174.

25+1.08695652174=26.08695652174

Of 1000 randomly selected cases of lung cancer, 838 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Answers

Answer:

0.8152 ≤ p ≤ 0.8608

579

Step-by-step explanation:

Given the following :

Samples size n = 1000

Deaths within 10 years, p = 838

α = 95%

Construction a two way confidence interval:

p ± Zα/2 * √p(1-p) / n

point estimate p = 838/n = 838/1000 = 0.838

Z0.05/2 = Z0.025 = 1.96

0.838 - 1.96√0.838(1-0.838) / 1000

0.838 - 1.96*0.0116514 = 0.8152

0.838 + 1.96√0.838(1-0.838) / 1000

0.838 + 1.96*0.0116514 = 0.8608

0.8152 ≤ p ≤ 0.8608

b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Error (E) = 0.03

To find the samome size, use the relation:

n = (Zα/2 / E)² * p(1-p)

n = (1.96/0.03)² * 0.838(1-0.838)

n = (1.96/0.03)² * 0.838 * 0.162

n = 4268.4444 * 0.838 * 0.162

n = 579.46

n = 579

The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?

Answers

Answer:

[tex]Average = 10[/tex]

Step-by-step explanation:

Given

[tex]First\ Three = 14[/tex] --- Average

[tex]Next\ Seven= 4[/tex] --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

[tex]\frac{x}{3} = 14[/tex]

Solve for x

[tex]x = 14 * 3[/tex]

[tex]x = 42[/tex]

Represent the sum of the next seven with y.

So:

[tex]\frac{y}{7} = 4[/tex]

Solve for y

[tex]y = 4 * 7[/tex]

[tex]y = 28[/tex]

The overall average is calculated as thus:

[tex]Average = \frac{x + y}{7}[/tex]

[tex]Average = \frac{42 + 28}{7}[/tex]

[tex]Average = \frac{70}{7}[/tex]

[tex]Average = 10[/tex]

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest

Answers

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

Solve each equation.
Show all steps
4) -8(-6-5k)=-232

Answers

the answer is k=4.6. hope this helps

each friend received 5/4 of a pound of berries, how many friends are sharing berries?​

Answers

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

What volume,in cubic inches,is equivalent to 15 cubic feet?

Answers

Answer: 1 feet = 12 inches

1 cubic feet = 12^3 = 1728 cubic inches

15 cubic feet = (15)(1728) = 25,920 cubic inches

An article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 864 mm, the average surface deflection was 2.53 mm with a standard deviation of 0.090 mm. Find a 90% confidence interval for the mean deflection caused by a 160 kN load. Round the answers to three decimal places.

Answers

Answer:

The 90% confidence interval is  [tex] 2.47<\mu < 2.59 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  6

   The sample mean is  [tex]\= x = 2.53 \ mm[/tex]

   The standard deviation is  [tex]\sigma  =  0.090\ mm[/tex]

Given that the confidence level is 90% then the level of significance is  

        [tex]\alpha =  (100 - 90)\%[/tex]

=>     [tex]\alpha =  0.10 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E =1.645 *  \frac{0.090 }{\sqrt{6} }[/tex]

=>   [tex]E = 0.060 [/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

      [tex]2.53  -0.060 <\mu < 2.53  + 0.060[/tex]

=>   [tex] 2.47<\mu < 2.59 [/tex]

   

1 quart= 4cups=1.96, Each cup coat?

Answers

Answer:

Step-by-step explanation:

Sorry but please give detailed question

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