1. Mona sells previously enjoyed rare CDs for $5/ea. and rare vinyl records for $7/ea. She sold a total of 1,200 CDs and records in a particular month, with total sales of $6,760. So:
a. What is the equation? Solve it.
b. How many CDs and records were sold?
c. What were the total dollar sales of each?

hi guys i hope you can help me to answer this question! thanks

The given inequality: y < 0.5x + 2

The coordinates of they satisfy the given inequality than they are the solutions of the inequality y < 0.5x + 2

Plot the given points on the given line, The points which are passes through the line is the solution of the given inequality:

The point (-1,2)

The points doenot pss through the line and lie in the shaded region

So, (-1,2) are not the solution of the given inequality:

Solution are :(-2, 1)

(1, -2)​

Answer :

(-2, 1)

(1, -2)​

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

\((x-8)^2 + (y - 9)^2 = r^2\)

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Answer:

B. (x – 8)² + (y – 9)² = 3

C.(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

edg 2020

The amount of money you would need to deposit at 9% annual interest compound monthly to have K12000 in the account after 6 years is K5967.06.

To calculate the amount of money required, we can use the formula for compound interest:

Amount = Principal * (1 + (rate/n))^(n*t)

Where: Principal = the initial amount of money invested Rate = the annual interest rate (as a decimal)N = the number of times per year interest is compounded T = the number of years

The given information is as follows: Principal = PV = ?Rate = r = 9% = 0.09N = 12 (monthly compounding)T = 6 years Amount = FV = K12000

We can substitute the given values into the formula to solve for

\(PV.K12000 = PV * (1 + (0.09/12))^ (12*6)K12000 = PV * (1.0075)^72PV = K12000/(1.0075)^72PV\)

\(= K12000/2.0128PV\)

\(= K5967.06\)

Therefore, the amount of money you would need to deposit at 9% annual interest compound monthly to have K12000 in the account after 6 years is K5967.06.

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Based on the information given, it can be seen that the length or the book will be 20cm.

From the information given, Leena read a book that had a perimeter of 72 cm and one side of the book is 16 cm. Therefore, the length will be calculated thus:

Perimeter = 2(Length + Width)

72 = 2(Length + 16)

72 = 2L + 32

2L = 72 - 32

2L = 40

L = 40/2

L = 20

Therefore, the length is 20cm.

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Answer:

R=22% , T=8yrs , P=$250

I=PRT/100

I=250×22×8/100

I=$440.00

The Interest that's earned will be $440.

The formula for calculating simple Interest will be:

= PRT/100

where,

P = $250

R = 22%

T = 8 years

Therefore, the simple interest will be:

= (250 × 22 × 8) / 100

= 44000/100

= 440

Therefore, the simple interest is $440.

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Answer:

Step-by-step explanation:

The probability mass function (pmf) of the random variable x is:

Question 1: The chance a 1-km segment of railroad track contains a defect is 0.01. Assume the 1-km segments of track are independent. a. Compute the probability that exactly 125 km of track need to be tested before a defect is found. b. On average, how many 1-km segments of railroad track have to be tested before a defect is found?

Answer 1: a. The probability that exactly 125 km of track need to be tested before a defect is found is 0.000148. b. On average, 125.01 1-km segments of railroad track need to be tested before a defect is found.

Question 2: A geotechnical engineering company conducted a study that indicates there is a 20% chance a borehole in a certain neighborhood will find a layer of clay no more than 20 m deep. a. Compute the probability that the third layer of clay within 20 m is found on the seventh borehole drilled. b. Compute the mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m.

Answer 2: a. The probability that the third layer of clay within 20 m is found on the seventh borehole drilled is 0.02. b. The mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m are 15 and 75 respectively.

Question 3: Dam failures are rare and are estimated to occur on average once every five years. a. Compute the probability there will be at least one dam failure in the next 10 years. b. Draw a pmf that describes the random variable x.

Answer 3: a. The probability that there will be at least one dam failure in the next 10 years is 0.8187. b. The probability mass function (pmf) of the random variable x is:

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The computation shows that the weight of 58 rhinoceros will be 127600 pounds

From the information, one rhinoceros in Central Park Zoo weighs 2,200 pounds. and we are to determine about how much 58 rhinoceroses would weigh.

This will be:

= 2200 × 58

= 127600 pounds.

The weight of 58 rhinoceros will be 127600 pounds.

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Answer:

Look at the other guy's explanation

Step-by-step explanation:

its wrong for me but really good

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

Answer:

b and c

Step-by-step explanation:

i got it right on my khan academy

The distance from the top of the flag pole to the tip of its shadow is approximately 5.44 meters.

To find the distance from the top of the flag pole to the tip of its shadow, you need to use the Pythagorean theorem, which states that the sum of the squares of the legs (height and shadow length) of a right triangle equals the square of the hypotenuse (the distance you want to find).

Given:

Height of flag pole = 3.2m

Shadow length = 4.4m

Step 1: Square the height and shadow length.

(3.2)²= 10.24

(4.4)² = 19.36

Step 2: Add the squares together.

10.24 + 19.36 = 29.6

Step 3: Find the square root of the sum.

√29.6 ≈ 5.44

So, the distance from the top of the flag pole to the tip of its shadow is approximately 5.44 meters.

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Answer:

x = 12

Step-by-step explanation:

Supplementary angles add up to 180 degrees therefore (6x + 48) and 60 should add up to 180. Like this:

6x + 48 + 60 = 180

Now solve:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x = 12

Therefore, the answer is x = 12.

I hope this helps!!

- Kay :)

Answer: x=12

Step-by-step explanation:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x=12

Based on the information provided, to prepare a total of 220 pancakes Kai needs 30 cups of pancake mix.

To prepare 22 pancakes Kai needs a total of 3 cups of pancake mix, which means the ratio is 22 to 3 or 22:3.

To find the total of pancake mix Kai need for this new number of pancakes different methods can be applied:

First method: Rule of three

3 cups of pancake mix = 22 pancakes

            x                        = 220 pancakes

x (number of cups) = 220 pancakes / 22 panckes x 3

x = 10 x 3

x= 30

This means Kai needs 30 cups

Second method: Find the number of cups for 1 pancake

3 cups  / 22 pancakes=  0.13636

220 x 0.13 = 29.9 which can be rounded as 30 cups

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Answer:

8 times

Step-by-step explanation:

because you do the number of times the event occurs in the sample space divided by the number of outcomes in the sample space.

Answer:

V=3456

Step-by-step explanation:

V=\(a^{2}\)\(\frac{h}{3\\}\)

2(x+4)

hope this helps!!!

Answer:

4x+4=6 I believe that's the answer

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Answer:

It will take Jack 74 minutes(1 hour and 14 minutes) to complete the task

Step-by-step explanation:

From the question, we know that he has 1000 envelopes to stuff.

Now, he has already stuffed 112 out of the 1000. Number of envelopes left to be stuffed will be 1000 -112 = 888 envelops

We were told that it takes him 1 minute to stuff 12 envelopes.

Let the time it will take him to stuff 888 envelopes be x minutes;

Let’s have a relationship here;

12 envelopes = 1 minute

888 envelopes = x minutes

12 * x = 888 * 1

12x = 888

x = 888/12

x = 74 minutes

Answer:

99%

Step-by-step explanation:

10% = 0.1

Take 550 times 0.1 = $55

So, 10% of $550 is $55

Because it is a discount, so we subtract it

550 - 55 - $495

Then we know it marks up by 10%

10% of 495 is $49.50

495 + 49.50 = $544.50

Then take 544.50 divided by 550, then times 100% = 99%

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Answer: 4

Content area the calculation for annual depreciation using the units-of-output method is yearly output.

What are the output method's units?

What is the annual depreciation formula?

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Answer:

35*x=280

Step-by-step explanation:

Answer:

x = 8

35 x 8 = 280

Step-by-step explanation:

The perimeter of the entire shape that is made up of a semi circle and an equilateral triangle would be = 116.66in

The perimeter of a shape is defined as the total area of all the sides surrounding that shape.

The perimeter of the object can be calculated by the addition of the perimeter of the triangle and the circle.

The perimeter of the triangle = a+b+c = 19+19+19 = 57in

The perimeter of the circle = 2πr

where π = 3.14

r = 19/2 = 9.5 in

perimeter = 2×3.14×9.5 = 59.66in

The perimeter of the whole object = 57+59.66 = 116.66in.

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Answer:

-1854

hope this helps<3

Work Shown:

x = number to add to both numerator and denominator  

\(\frac{3+\text{x}}{5+\text{x}} = \frac{5}{6}\\\\6(3+\text{x}) = 5(5+\text{x})\\\\18+6\text{x} = 25+5\text{x}\\\\6\text{x}-5\text{x} = 25-18\\\\\text{x} = 7\\\\\)

Therefore,

\(\frac{3+7}{5+7} =\frac{10}{12} = \frac{5}{6}\\\\\)

which helps confirm the answer is correct.

The number that can be added to both the numerator and denominator of 3/5 to make the resulting fraction equivalent to 5/6 is 7.

To find the number that can be added to both the numerator and denominator of 3/5 to make the resulting fraction equivalent to 5/6, we need to determine the value that, when added, will result in the same ratio between the numerator and denominator.

Let's assume the number to be added is represented by "x."

The original fraction is 3/5. If we add "x" to both the numerator and denominator, the new fraction becomes (3 + x) / (5 + x).

We want this new fraction to be equivalent to 5/6. Therefore, we can set up the equation:

(3 + x) / (5 + x) = 5/6

To solve for "x," we can cross-multiply:

6(3 + x) = 5(5 + x)

18 + 6x = 25 + 5x

Rearranging the equation:

6x - 5x = 25 - 18

x = 7

Therefore, the required number is 7.

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The appropriate alternative hypothesis would be that the market share percentage is 60%.

This is the left-tailed test.

The null and alternative hypothesis is

H0 :  p =60%

Ha : p <60%

answer most 60%

Speculation in a scientific context is a testable declaration about the connection among two or extra variables or a proposed reason for some located phenomenon. For a hypothesis to be a systematic hypothesis, the medical method calls for you could test it. Scientists typically base clinical hypotheses on preceding observations that can't satisfactorily be explained with the available scientific theories. despite the fact that the words "speculation" and "idea" are frequently used interchangeably, a systematic hypothesis isn't the same as a scientific theory.

In not unusual usage in the 21st century, speculation refers to a provisional idea whose advantage calls for assessment. for correct evaluation, the framer of a hypothesis needs to outline specifics in operational terms. Speculation requires greater work through the researcher with a view to both affirm or disprove it.

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Complete Question:

A marketing research firm is planning a study to test whether the market share that a new product will capture during its first year on the market is at most 20 percent. After setting up the null and alternative hypotheses, the appropriate alternative hypothesis would be that the market share percentage is:

Group of answer choices

at most 20%

at least 20%

greater than 20%

not equal to 20%

less than 20%

Answer:

f(x)=2600x+1500 at least I think because it's 2600 per person

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer: 7.083

Step-by-step explanation: all you have to do is divide 85 by 12 since there are 12 inches in one foot :)