three consecutive even integers are such that the sum of the smaller two is 52 less than three times the largest. what are the integers?

Answer:

hi

Step-by-step explanation:

Answer: We can use the equation to find the number of dimes in Kendall's pocket:

25g + 10d = 150

25 * 4 + 10d = 150

100 + 10d = 150

10d = 50

d = 5

So Kendall has 5 dimes in her pocket.

Step-by-step explanation:

The gametes that can be produced by individual bgbg are B, and G, and the gametes that the offspring can produce are BB, BG, BG, BG, BG, BG, BG, and GG.

a. bgbg

The individual bgbg can produce gametes that are either B or G, as they carry one allele of each. Therefore, the gametes that can be produced by this individual are:

B, G

b. bbgg x bbgg

The individuals bbgg x bbgg are heterozygous for two different traits (B and G). In this cross, each parent can contribute either a B or a G allele to the offspring.

There are four possible combinations of gametes for each parent, for a total of 16 possible offspring combinations:

   BB x BB = B offspring: BB, BG, BG, BB

   BB x BG = B offspring: BB, BG, BG, BG

   BB x GG = B offspring: BG, BG, BG, BG

   BG x BG = B offspring: BG, BG, BG, BG

   BG x GG = G offspring: BG, BG, BG, GG

   GG x GG = G offspring: GG, GG, GG, GG

So, the gametes that can be produced by the offspring are:

BB, BG, BG, BG, BG, BG, BG, and GG

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Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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The length of the third side should be between 5 and 17.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees.

Given John is measuring a piece of glass to fit in a triangular frame,

the two sides of the frame are 6 cm and 11 cm,

let the third side be x,

Any two sides of a triangle can be added together to have a length larger than the third side. Similar to this, any two triangle sides have length differences between them that are smaller than the length of the third side.

i.e. 11 - 6 < x < 11 + 6

5 < x < 17

Hence the third side should vary from 5 cm to 17 cm.

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The measure of the arc length of the sector will be 103.62 centimeters.

Let r be the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The central angle is 11π / 6 radian and the radius is 18 cm. Then the measure of the arc length is given as,

Arc = {(11π / 6)/2π} 2π (18)

Arc = 0.9167 x 2 x 3.14 x 18

Arc = 103.62 cm

The measure of the arc length of the sector will be 103.62 centimeters.

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The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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If the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution. The probability that the service time will be less than or equal to 6 minutes is 0.549 [B]

The average service rate of 6 customers per hour corresponds to a mean service time of 1/6 = 0.1 hour = 6 minutes. To find the probability that the service time will be less than or equal to 6 minutes, we need to find the cumulative distribution function (CDF) of the exponential distribution evaluated at 6 minutes. The CDF of the exponential distribution is given by:

F(x) = 1 - exp(-λx)

where,

λ = 1/mean = 1/0.1 = 10. Plugging in x = 6, we get:

F(6) = 1 - exp(-10 * 6) = 1 - exp(-60) ≈ 0.549

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The solution of the quadratic equation is [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the quadratic equation is x²-5x+5=0. The equation can be solved as below:-

x²-5x+5=0

a = 1 , b = -5 , c = 5

[tex]x = \dfrac{-b \pm\sqrt{(b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{5\pm\sqrt{25 - 4\times1\times5}}{2}[/tex]

[tex]x = \dfrac{5\pm\sqrt5}{2}[/tex]

The value of x for the quadratic equation will be [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].

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The probability that the spinner will stop at an even value is: P(even) = 1/3.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. This is the fundamental theory of probability, which is applied to the probability distribution.

The probability that the spinner will stop at an even value is:

P(even) = number of even numbers on spinner / total number on spinner

P(even) = 1 / 3

Hence, the probability that the spinner will stop at an even value is: P(even) = 1/3.

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The wind speed and plane speed is 11 and 96  mph.

It is required to find the speed of the plane in still air and the speed of the wind.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let plane speed be "p".

Let wind speed be "w".

According to given question we have,

p + w = 107 mph

p - w =  85 mph

By the method of elimination we get,

2p = 192

p = 96 mph

The plane speed is 96 mph.

Solve for "w":

p + w = 107

96 + w = 107

w = 11 mph

The wind speed is  11 mph.

Therefore, the wind speed and plane speed is 11 and 96  mph.

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Answer: 1/19, 6/1 (6)

Step-by-step explanation: To find the reciprocal of a fraction, switch the numerator and the denominator (the top and bottom of the fraction, respectively). So, simply speaking, the reciprocal of a/b is b/a. To find the reciprocal of a number, divide 1 by the number. So for example, the reciprocal of 5 would be 1/5

The final balance of the bank statement was $880.88.  This amount reflects deposits, withdrawals, fees, and interest accrued during the statement period.

The final balance of a bank statement is the amount of money that is in the account after all deposits, withdrawals, fees, and interest have been accounted for during the statement period. To calculate the ending balance, start with the beginning balance and then add any deposits that were made during the statement period. Then, subtract any withdrawals, fees, and interest that were charged during the statement period. The final balance will be the amount that remains after all transactions have been accounted for. In this example, the ending balance was $880.88.

The complete question:

what was the ending balance? a sample bank statement.

A) $597.35

B) $715.26

C) $751.58

D)$880.88.

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The study is a randomized controlled trial (RCT) study.

In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.

The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).

The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.

This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.

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0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.

The 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal. To calculate the price per ounce of each box of cereal, we can divide the total cost of the box by the total number of ounces in that box. For the 16 ounce box of cereal, the equation would be 4.00/16 = 0.25 per ounce. For the 20 ounce box of cereal, the equation would be 4.50/20 = 0.225 per ounce. Because 0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.

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Answer:

The unit rate of pages per hour is 39 pages and the unit rate of hour per pages is 1/39 hours

Step-by-step explanation:

We can solve this problem using proportion.

From the question; Leo reads 13 pages in 1/3 hours.

The first part of the question is to find the unit rate for pages per hour.

To find this;

Let x = the number of pages read in 1 hour

13 pages = 1/3 hours

   x         = 1 hour

Cross-multiply

1/3 ×  x = 13 × 1

= 13

Multiply both-side of the equation by 3

 ×  3   =   13× 3

x = 39 pages

Therefore, the  number of pages read in 1 hour is 39 which implies the unit rate for pages per hour is 39

For the second part of the question, we are to find the unit rate for hours per page, that is; how many hours can he use to read a page.

Let x = the number of hour use to read a page

13 pages   =   1/3 hour

1 pages    =  x

Cross-multiply

13x = 1/3

To get the value of x, we will divide both-side of the equation by  1/13

13x ×    =   ×  

x   =   hour

Therefore, the number of hour taken to read 1 page is    , which implies the unit rate of hours per page is  

The period of the function graphed is 4

The period of a trigonometric function is the length of one complete cycle of the function.

For the common trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant), the period is 2π for sine and cosine and π for the others.

In the graph the value in the domain for the function to make a complete oscillation is 4 hence the period is 4

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The distance traveled by Jasmine and Chelsea is given by the equations of speed and J = 20.4 km and C = 39 km , where T is the time taken and T = 0.6 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of Jasmine be represented as S₁ = 34 km/h

Let the speed of Chelsea be represented as S₂ = 65 km/h

Now , the distance traveled by Jasmine = J

And , the distance traveled by Chelsea = C

The measure of J = measure of C

So , the distances are the same

Let the time taken by both Jasmine and Chelsea be T

Now , Speed = Distance / Time

Substituting the values in the equation , we get

Distance D = 34T

And , distance D = 65T

Now , the total distance D = 59.4 km

So , 34T + 65T = 59.4

On simplifying the equation , we get

99T = 59.4

T = 0.6 hours

Hence ,

The distance traveled by Jasmine and Chelsea are 20.4 km and 39 km respectively

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Answer:

0

Step-by-step explanation:

8x + 4x = 0

12x = 0

x = 0/12

x = 0

Step-by-step explanation:

[tex]8x + 4x = 0[/tex]

[tex]12x = 0[/tex]

[tex] \frac{12x}{12} = \frac{0}{12} [/tex]

[tex] \frac{12x}{12} = \frac{0}{12} [/tex]

[tex]x = \frac{0}{12} [/tex]

which is basically 0

The correct answer is it will stretch far 59.3 lakh miles .

Given that,

If a billion 10-dollar bills were placed side by side, the total value would be $1.

To find :What amount of dollars would you use? How far would the trail stretch?

A dollar bill is 2.61 inches wide.

The dimensions of a billion dollar bill are 2.61 x 1,000,000,000 inches.

Divide this by 12 to convert to feet: 2.61 x 1,000,000,000 / 12.

Divide that by 5280 to convert it to miles: 2.61 x 1,000,000,000 x 12 /5280.

(Instead of 2.61 inches, use 6.14 inches if you meant to say it from end to end, the long way.)

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Step-by-step explanation:

[tex]x {}^{2} - 14x = - 49[/tex]

[tex]x {}^{2} - 14x - ( - 49) = 0[/tex]

Identify a, b and c in your equation and then find two numbers that when multiplied equal c, and when added equal b.

[tex]x {}^{2} - 14x + 49 = 0[/tex]

Write your equation in factored form.

[tex](x - 7) {}^{2} = 0[/tex]

Here the two factors are the same, so there will be only one solution.

[tex]x - 7 = 0[/tex]

Rearrange and isolate the variable to find each solution.

[tex]x = 7[/tex]

Therefore , the solution of the given problem of linear equation comes out to be  Defective toys, D = 33 toys.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.

Here,

If a toy company makes 550 toys in a single day, 33 of those products will be flawed.

Let D represent the faulty toys.

The sum of the toys should be T.

Given the upcoming information:

A day's worth of production results in 550 toys overall.

To calculate how many toys would be flawed after production, use the formula:

=> D = 6/100 * T

Using the parameters provided, we can calculate D as follows:

=> D = 6/100 * 550

=> D = 0.06*550

=> Defective toys, D = 33 toys.

Therefore , the solution of the given problem of linear equation comes out to be  Defective toys, D = 33 toys.

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

The actual length of Organism is 0.22 mm.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.

Given:

The size of Organisms is 2.2 cm when magnified to 100 times its actual size.

So, the actual size in cm

=  2.2/ 100

= 0.022 cm

Now, we know 1 cm = 10 mm

= 0.022 x 10

= 0.22 mm

Hence, the actual size is 0.22 mm.

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The value of the car can be, to the nearest cent, after 6 years is, 108454 cents

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

New car is purchased for 21100 dollars

The value of the car depreciates at 10.5% per year

The value of the car  after 6 years = ?

After 1 year,

Value  = 21100 -  10.5% of 21100

           = 21100 - (10.5x21100)/100

           = 21100 - 0.105x21100

           = 21100(1 - 0.105)

After 2 year,

Value  = 21100(1 - 0.105) -  10.5% of 21100(1 - 0.105)

           = 21100(1 - 0.105) - 0.105x21100(1 - 0.105)

           = 21100(1 - 0.105)(1 - 0.105)

           = 21100(1 - 0.105)²

Similarly, After n years,

Value = 21100(1 - 0.105)ⁿ

So, After 6 years,

Value = 21100(1 - 0.105)⁶

          = 21100x0.895⁶

          = 21100x0.514

          = $10845.4

It is known that,

1 dollar = 100 cents,

So, value in cents after 6 years,

⇒ 10845.4x100

⇒  108454

Hence, the value after 6 year is 108454 cents

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The mean of the repair cost is 2.1 dollars and the variance of the repair cost is 0.

Let's call the number of items with no defects x. Then, we have:

x + y1 + y2 = 10

And we know that:

[tex]y1 = 10 * 0.10 = 1[/tex]

y2 =[tex]10 * 0.07 = 0.7[/tex]

x = 10 - y1 - y2 = 10 - 1 - 0.7 = 8.3

So, the expected number of items with one defect is E(y1) = 1 and the expected number of items with more than one defect is E(y2) = 0.7.

The expected repair cost is [tex]E(cost) = E(y1) * 3 * E(y2) = 1 * 3 * 0.7 = 2.1.[/tex]

The variance of the number of items with one defect is Var(y1) = E(y1^2) - [tex](E(y1))^2 = 1^2 - 1^2 = 0[/tex] and the variance of the number of items with more than one defect is [tex]Var(y2) = E(y2^2) - (E(y2))^2 = 0.7^2 - 0.7^2 = 0.[/tex]

Using the formula for the variance of a sum of independent variables, we can calculate the variance of the repair cost as:

[tex]Var(cost) = Var(y1 * 3 * y2) = 3^2 * Var(y1) * Var(y2) = 9 * 0 * 0 = 0[/tex]

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The system of equations is,

y = 2/3(x) and y = (-3/4)x -5.

The correct option is A.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Two lines are intersecting each other.

Line 1 passes through two points (0, 0) and (3, 2).

The equation of the line is,

y = 2/3(x)

And line 2 passes through (0, -5) and (4, -2).

The equation of the line is,

y = (-3/4)x -5.

Therefore, the equations are y = 2/3(x) and y = (-3/4)x -5.

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The length of the smallest part of the line segment is 12 cm.

The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:

Part = Whole × Ratio

Part 1 = 96 cm × (2/16)

= 12 cm

Part 2 = 96 cm × (9/16)

= 54 cm

Part 3 = 96 cm × (5/16)

= 30 cm

Therefore, the length of the smallest part of the line segment is 12 cm.

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The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.

If the power of the variable "a" is b/c. Then the simplest radical form of the expression will be given as,

[tex]\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}[/tex]

Using a list of the radical expressions for numbers between 1 and 100 will reduce, create a list of the reduced radical values.

The number whose square lies between 1 to 100 is given as,

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

The number whose cube lies between 1 to 100 is given as,

2³ = 8

3³ = 27

4³ = 64

And some other values are given as,

2⁴ = 16, 2⁵ = 32, 2⁶ = 64, and 3⁴ = 81

The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.

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