Isaac bought two DVD's and spent over 50 . Use indirect reasoning to show that at least one of the DVD's he purchased was over 25 .

Answers

Answer 1

By assuming that both DVD's cost $25 or less, we will reach an absurd. In that way we conclude that at least one of the two DVD's costs over $25.

How to use the indirect reasoning?

We know that Isaac bought two DVD's and spent over $50.

Let's define the variables:

x = cost of the DVD 1y = cost of the DVD 2

Because the cost is over $50 we can write the inequality:

x + y > $50

Here we want to prove that at least one of the two DVD's costed over $25, now let's find an absurd here, let's assume that neither of the DVD's costed over $25, then we can write:

x ≤ $25

y ≤ $25

So we have a set of 3 inequalities:

x + y > $50

x ≤ $25

y ≤ $25

Now, the maximum values that x and y can take are $25, if we use these values in the first inequality we will get:

$25 + $25 > $50

$50 > $50

So this is an absurd, this means that we can't assume that neither of the DVD's costs over $25, then we conclude that at least one of the DVD's costs over $25, which is what we wanted to prove.

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Related Questions

the admission into Disney World was %109.00. The sales tax was 8%. How much was the sell tax?

Answers

The price of the selling tax is $8.72

Tax rate

Given the following data from the information:

Admission price = $109Tax rate = 8%

Get the price of the sell tax

The price of the selling tax = 8% of 109

The price of the selling tax = 0.08 * 109

The price of the selling tax = $8.72

Hence the price of the selling tax is $8.72

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On the real number line , what is the midpoint of -3 and 11

Answers

Answer:

4

Step-by-step explanation:

Shown using number line and simple math

On the real number line , what is the midpoint of -3 and 11

Consider the volume of the region shown below, which shows a right circular cone with a top radius of 3 cm and height 9cm

Answers

Answer:

84.82 cm

Step-by-step explanation:

Volume of a cone: \(\frac{1}{3} \pi r^2h\)

\(\frac{1}{3} \pi r^2h\\\\\\\\= \frac{1}{3}\pi (3)^2(9)\\\\= \frac{1}{3}\pi(9)(9)\\\\\\\= \frac{1}{3} \pi (81)\\\\= 27\pi \\\)

≈ 84.82 cm

Enter the equation of the circle with the given center and radius.

Center: (0, 5); radius: 5

The equation of the circle is

Answers

Answer:

x^2+(y-5)^2=25

Step-by-step explanation:

since you have a 5 in the y thats why the 5 ends up where it does. Then the radius is squared which is why you end up with that in this

While In a cave what did Sirius tell Harry and his friends about crouch

Answers

The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.

It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.

In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.

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You select a month to go on vacation and then select the day of the month to begin the vacation.

Answers

The selection of a month and selecting a day of the month for vacation are independent events.

Is selecting a month and a day of the month independent or dependent events?

Probability of selecting specific month is unaffected by the probability of selecting a specific day of the month. The outcome of selecting a month does not influence the outcome of selecting a day.

The selection of a month and the selection of a day are separate and do not impact each other. The probability of selecting a particular month does not change based on the day chosen or vice versa.

Full question:

You select a month to go on vacation and then select the day of the month to begin the vacation. Classify as either Independent and Dependent Events.

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You are buying a new Corvette. You must select 1 of 8 color choices, 1 of 3 trim levels, and must decide if you want power windows or not. How
many different Corvettes are possible?

Answers

Answer:

48

Step-by-step explanation:

8x3x2=48

don't ask but that is how i do it it is way easier than making fifty million different lists for no reason

At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get? What proportion could be used to solve this problem?

Answers

Answer: 6

Step-by-step explanation:

2 free books7 purchased books=? free books21 purchased booksCompare the denominators.2 free books7purchased books=? free books21purchased booksTo get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.2 free books37 purchased books3=6free books21 purchased booksLarry got 6 free books

Ramon wants to make an acute triangle with three pieces of wood. so far, he has cut wood lengths of 7 inches and 3 inches. he still needs to cut the longest side. what length must the longest side be in order for the triangle to be acute? exactly startroot 58 endroot inches greater than startroot 58 endroot inches but less than 10 inches less than startroot 58 endroot inches but greater than 7 inches not enough information given

Answers

Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches

Ramon wants to make an acute triangle with three pieces of wood. So far,

he has cut wood lengths of 7 inches and 3 inches.

What length must the longest side be in order for the triangle to be acute?

According to the property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side.

If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.

where, 'a' is the larger side and 'b' ,'c' are the smaller side

According to the question, Let a =a , b = 7, c = 3

\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)

Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.

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Answer:

less than 58 inches but greater than 7

Step-by-step explanation:

i got it right on edge

If 17% of gummy bears are red then how many red gummy bears will be red out of 300?​

Answers

Answer:   51

Step-by-step explanation:

17% of 300 is 51

300 x .17 =51.

A carton of grapefruit juice displays the nutritional information shown below. How many grams of sugar are there in a 200 ml glass of juice? Grapefruit juice 250 ml contains Carbohydrate Sugar Protein 19.5 g | 16.5 g | 1.5 g​

A carton of grapefruit juice displays the nutritional information shown below. How many grams of sugar

Answers

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.

Answers

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

a1 =4 and an=-1+1 then find the value of a5

Answers

The value of a5 is 8.

Given that,

a₁ = 4

aₙ = aₙ₋₁ + 1

So, we can find the second term a₂ using the equation of nth term,

a₂ = a₍₂₋₁₎ + 1

a₂ = a₁ + 1

Applying the value of a₁,

a₂ = 4 + 1

a₂ = 5

So, finding the value of a₃,

a₃ = a₍₃₋₁₎ + 1

a₃ = a₂ + 1

a₃ = 5 + 1

a₃ = 6

So, the value of a₄ will be,

a₄ = a₃ + 1 = 6 + 1

a₄ = 7

Therefore,

a₅ = a₄ + 1 = 7 + 1

a₅ = 8

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A car travels 180km from Mool River along the N3 highway to the South Coast. It takes the driver 4 hours, Determine the average speed of the car in km per hour.​

Answers

Answer:

45km/h

Step-by-step explanation:

The car took 4 hours to travel 180km -> In an hour, it travel 1/4 of the distance.

1/4 x 180 = 45

So, the average speed of the car is 45km/h.

I dont know what 28x76 is

Answers

Answer:

28

x 76

----

168 (units digit of 76 multiplied by 28)

1408 (tens digit of 76 multiplied by 28)

----

2128

Therefore, 28x76 is equal to 2128.

Step-by-step explanation:

HEELLLPPMEEEEEEEE PLS 30 pointss
Suppose that x≠0 and y≠0. We know from our work in this section that 1/x∙1/y is equivalent to 1/xy. Is it also true that 1/x+1/y is equivalent to 1/(x+y)? Provide evidence to support your answer.

Answers

Answer:

No

Step-by-step explanation:

Let's assume that x=2 and y=3.

1/2+1/3≠1/5

Also, when adding fractions, you cannot simply add the denominator. You have to make the denominators of all fractions the same and then add.

So, if you are given 1/x +1/y, you should get (y+x)/xy, not 1/(x+y)

(pythagorean theorem and the coordinate plane mc) determine the length of the line segment shown. line segment from negative 3 comma 10 to 4 comma negative 1 13 units 12 units 7 units 3 units

Answers

Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

Let a = vertical distance between the two points

b = horizontal distance between the two points

c = distance between the two points / length of line segment

Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².

Substitute the values of x and y and solve for c.

c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²

c² = (|-1 - 10|)² + (|4 - -3|)²

c² = (|-11|)² + (|7|)²

c² = 11² + 7²

c² = 121 + 49

c² = 170

c = 13.04

length of line segment ≅ 13 units

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(pythagorean theorem and the coordinate plane mc) determine the length of the line segment shown. line

Circles of radii 3 and 6 are externally tangent to each other and are internally tangent to a circle of radius 9. The circle of radius 9 has a chord that is a common external tangent of the other two circles. Find the square of the length of this chord.

Answers

The square of the length of the chord that is a common external tangent of the other two circles with radii of 3 and 6 is 45.

Given that circles of radii 3 and 6 are externally tangent to each other and internally tangent to a circle of radius 9. The circle of radius 9 has a chord that serves as a common external tangent for the other two circles. The task is to find the square of the length of this chord.

The distance between the centers of the circles of radii 3 and 6 can be found by adding their radii: d1 = 3 + 6 = 9 units.

Since the circles are internally tangent to the circle of radius 9, the distance between their centers can be found by subtracting their radii from the radius of the larger circle: d2 = 9 - 3 - 6 = 0 units.

The chord is a common external tangent of the circles, and its length can be found by doubling the distance between the center of the circle of radius 9 and the chord: Chord length = 2 × h.

To find the height (h) of the triangle formed by the chord and the center of the circle of radius 9, we can use the formula h = (r1 + r2 - R) / 2, where r1 and r2 are the radii of the smaller circles, and R is the radius of the larger circle. In this case, h = (3 + 6 - 9) / 2 = 0.
Since h is zero, it means that the chord passes through the center of the circle of radius 9. Therefore, its length will be the diameter of the circle of radius 9.

The square of the length of the chord can be found using the Pythagorean theorem. Let's denote the length of the chord as d.

- We know that r1 + h = R, so h = R - r1 = 9 - 3 = 6.

- Using the Pythagorean theorem: d = sqrt(R² - h²) = √(9² - 6²) = √(81 - 36) = √(45).

Therefore, the square of the length of the chord is d^2 = 45.

In summary, the square of the length of the chord that serves as a common external tangent for the circles of radii 3 and 6, and is internally tangent to a circle of radius 9, is 45.

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Which of the following is an incorrect way to label the line in the diagram below

Answers

i dont see any diagram can you put the diagram

is this the line diagram?

and if it is it's HI the second answer.

because  a line is named by either using two points on the line in capital letters with an arrow on the top or by using a lowercase letter.

Which of the following is an incorrect way to label the line in the diagram below

Find the value of x. Round to the nearest tenth. Use law of sines

Find the value of x. Round to the nearest tenth. Use law of sines

Answers

Answer:

69.9°

Step-by-step explanation:

sin28/11 = sinx/22

22(sin28) = 11(sinx)

sinx = 22(sin28) / 11 = 0.9389

x = sin⁻¹(0.9389) = 69.9°

Find the area of a triangle with a =17, b =13, and c =19.

Answers

Answer -

The area of a triangle can be found using Heron's formula, which states that the area of a triangle with sides a, b, and c is:

Area = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, defined as s = (a + b + c) / 2.

So, for a triangle with sides a = 17, b = 13, and c = 19:

s = (17 + 13 + 19) / 2 = 49 / 2 = 24.5
Area = √(24.5(24.5-17)(24.5-13)(24.5-19))
Area = √(24.5 * 7.5 * 11.5 * 5.5)
Area = √(10912.5)
Area = 104.72

The area of the triangle is approximately 104.72 square units.

What is the procedure for quickly stopping a car with ABS

Answers

Answer:

Press down the brake firmly and smoothly. ...

Don't brake and swerve the car at the same time. ...

Avoid using your transmission for quick stops. ...

Focus on where you want to go, not what you want to avoid.

This requires you to pump the brake, to prevent the wheels locking up. ABS is a computerised sensor system that detects when the brakes are about to lock-up, momentarily releasing the brakes, before automatically reapplying them many times a second, until the car stops

d(n)d, left parenthesis, n, right parenthesis models the duration (in seconds) of the time it took for hailey to run her n^{th}n th n, start superscript, t, h, end superscript lap. nnn 333 777 999 d(n)d(n)d, left parenthesis, n, right parenthesis 858585 999999 110110110

Answers

The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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hi please help i’ll give brainliest please

hi please help ill give brainliest please

Answers

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

Answer:

6x6x6, 3x3x3x3x3x3, 216

Step-by-step explanation:

6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.

Find the measure of the red angle.

Find the measure of the red angle.

Answers

Answer:

Its 24! hope this helped!

Answer:

45 degrees.

I hope I'm right.

It is known that the variance of a population equals 3,600. A random sample of 225 has been selected from the population. There is a 0.95 probability that the sample mean will provide a margin of error of _____. a. 7.84 or less b. 31.36 or less c. 3,600 or less d. 470.4 or less

Answers

The given variance of a population equals 3,600. the answer probability  is (a) 7.84 or less.

There is a 0.95 probability that the sample mean will provide a margin of

Variance

(σ²) = 3600

Sample size

(n) = 225

Confidence interval = 0.95

Probability = 0.95.

For a 0.95

probability,

α = 1 - 0.95

= 0.05/2

= 0.025

(using the Z-table)

Now, z0.025 = 1.96

Margin of error (E) = z0.025 *

(σ/√n)E = 1.96 * (60/15

)E = 7.84

(a) 7.84 or less

Since we have calculated the margin of error (E) by using the formula of margin of error

.E = 1.96 * (σ/√n)

= 1.96 * (60/15)

= 7.84 or less.

Therefore, the answer is (a) 7.84 or less.

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Quadrilateral MNOP is rotated about the origin. Describe the rotation.

Quadrilateral MNOP is rotated about the origin. Describe the rotation.

Answers

The quadilateral MNOP has been rotated clockwisely by 90 degrees

The coordinates of the rotated shape are

Mi (4, -2)

Ni (1. -3)

Oi(0, -1)

Pi (2, 0)

Examine the two distinct lines defined by the following two equations in slope-intercept form:
Line ℓ: y = 34x + 6
Line k: y = 34x - 7
Are lines ℓ and k parallel?
a) Yes
b) No

Answers

We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.

However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.

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The answer is option a) Yes. Lines ℓ and k are parallel to each other.

The two distinct lines defined by the following two equations in slope-intercept form are:

Line ℓ: y = 34x + 6

Line k: y = 34x - 7

To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.

Both lines are in slope-intercept form, so we can immediately read off their slopes:

Line ℓ has a slope of 34, and line k has a slope of 34.

Both the lines ℓ and k have the same slope of 34.

Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.

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LOOK AT THE IMAGE ABOVE!
Can someone please do this for me. I literally don’t understand what this is. (I’ll give 20 points) DO NOT ANSWER IF YOU DONT KNOW OR DONT SHOW STEPS! I will REPORT you!

PLEASE SOMEONE HELP!!

LOOK AT THE IMAGE ABOVE!Can someone please do this for me. I literally dont understand what this is.

Answers

Answer:

1a. Angle E is 15 because the three angles must equal 180 degrees

1b. x= 12, so angle D would be 50 degrees

1c. The triangle is an equilateral triangle

2a. y=-2/3 + 4

2b. It is perpendicular because the slope is negative reciprocal

2c. You can draw the line, but the equation is

y= x/2 + 5

2d. y= -2x + 11

Kathy saves $1 on the first day, $2 on the second day, $3 on the third day and so
on, saving an extra $1 on each subsequent day. On which day will she have over
$100 in total?

Answers

Answer:

3 moths and 10 days

Step-by-step explanation:

on each day she gets 1$ that means

1 month = 30 days

e.g. 3 6 9   30 60 90

means 90 days if we add also 1 month it will be 120 days

so 90 +  10 = 100

thats why 3 months and 10 day :)

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