I really need help with this question

I Really Need Help With This Question

Answers

Answer 1

Answer:

39

Step-by-step explanation:

I assume the father's age is a 2-digit number. He is not 9 years old or younger, and he is not 100 years old or older.

The sum of the digits of a two-digit number goes up by 1 from one number to the next unless the number ends in 9.

For example, from 17 to 18, the sum of the digits goes from 8 to 9.

If the number ends in 9, for example, 29, the digits add to 11. Then the next number is 30, and now the sum of the digits is 3, which is less than 11.

The father's age now is a number whose sum of digits is not only greater than the sum of the digits next year, but it is 3 times greater.

Let's look at 2-digit number and the next number and the sum of their digits.

19, 20; sums: 10, 2; 10/2 = 5, not 3

29, 30; sums: 11, 3; 11/3 ≠ 3

39, 40; sums: 12, 4; 12/4 = 3

Answer: The father is 39 years old.

Answer 2

Answer: 39 years

Step-by-step explanation:

The father says that adding both of the digits in his age will be 3 times greater than adding both digits one year later. Before we even start answering the problem, this tells us that the father's age has 2 digits in it.

Let's represent the 10's digit with x, and the 1's digit with y. If the father's age was 45, for example, x would be 4 and y would be 5.

Let's first make an equation to represent this situation:

The sum of the digits of the father's age would be represented by x + y, as x and y are the 10's digit and 1's digit respectively.

The father's age next year would be one greater than the current year, which makes y become y + 1. Then, the sum of the digits would be x + y + 1.

Now, we must make the first equation 3 times larger than the second and solve for the sum.

[tex]x + y = 3(x+y+1)\\ x+y=3(x+y)+3\\ 1(x+y)-3(x+y)=3\\ -2(x+y)=3\\ x+y=\frac{3}{-2}=-\frac{3}{2}[/tex]

However, we can neither have a fraction or a negative as a sum of two digits in an age, as digits are always positive integers from 0 to 9.

This flaw came from the assumption that after 1 year, the sum of the digits will be x + y + 1. This isn't always true, as any number with its 1's digit of 9 turns into 0 the next year, and not 10. Instead, the x value increases by 1.

For example, someone the age 69 becomes 70 the next year, x increases by 1 and y becomes 0.

Let's make a new equation to try and see this.

We know that his current age has to have y = 9 for his new age to be y = 0. Therefore, the current sum of digits is x + 9.

The next year, we know that the 10's place will increase by 1 and the 1's place becomes 0. Therefore the sum of digits is x + 1 + 0, or x + 1.

Since the current sum of digits is 3 times greater than the sum next year, let's multiply the second equation by 3 to get equality. We just need to calculate the 10's digit, as the 1's digit is already 9.

[tex]x+9 = 3(x+1)\\ x+9=3x+3\\ 9=2x+3\\ 6=2x\\ x=3[/tex]

Since the 10's digit (or x) is 3 and the 1's digit (or y) is 9, the father's age is 39, and he will turn 40 next year.


Related Questions

A number $x$ is equal to $7\cdot24\cdot48$. What is the smallest positive integer $y$ such that the product $xy$ is a perfect cube?

Answers

Take the prime factorization of [tex]x[/tex].

[tex]x = 7\times24\times48 = 7\times(2^3\times3)\times(3\times2^4) = 2^7\times3^2\times7[/tex]

If [tex]xy[/tex] is a perfect cube, then the smallest [tex]y[/tex] that makes this happen is [tex]y=2^2\times3\times7^2 = \boxed{588}[/tex]. We "complete" the cube by introducing just enough factors to get each prime power to be a multiple of 3.

Answer: 588

Step-by-step explanation:

32. Which of the following would be in the solution set to the system of inequalities given below?
y< 2x - 4
2-y-3

(0,-5)

Both (0,-5) and (0, -2) are solutions

(0,-2)

No solution

Answers

Answer:

no

Step-by-step explanation:

Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

The square root of the quantity 3 x plus 12 end quantity equals 9.

Answers

The value of x from the given expression is 23

Radical equations

Given the following equation

√3x+12 = 9

Square both sides

√3x+12)² = 9²

3x + 12. = 81

Subtract 12 from both sides

3x + 12 - 12 = 81- 12

3x = 69

x = 23

Hence the value of x from the given expression is 23

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When multiplying or dividing measured quantities, what determines the number of significant figures in the result?.

Answers

The quantity with the fewest number of significant figures.

The least number of significant figures is used to calculate the product's or quotient's number of significant figures when multiplying or dividing measurable numbers. While 5.25 has three major figures, 3.5 only has two.

What is significant figures?

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

When multiplying two measured values the number of significant figures should be equal to the?

For multiplication or division, the rule is to count the number of significant figures in each number being multiplied or divided and then limit the significant figures in the answer to the lowest count. An example is as follows: The final answer, limited to four significant figures, is 4,094.

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[tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex]

Answers

The solution to the expression [tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex] is [tex]\frac{216x^6 - 108x^4 + 18x^2 - 1}{27x^3}[/tex]

How to solve the expression?

The expression is given as:

[tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex]

Take the LCM of the expression

[tex]\frac{8x^3 * 27x^3 - 4x * 27x^3 + 2 * 9x^2 - 1}{27x^3}[/tex]

Evaluate the products

[tex]\frac{216x^6 - 108x^4 + 18x^2 - 1}{27x^3}[/tex]

Hence, the solution to the expression [tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex] is [tex]\frac{216x^6 - 108x^4 + 18x^2 - 1}{27x^3}[/tex]

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A scientist testing the effects of a chemical on apple yield (apples/acre) sprays an orchard with the chemical. A second orchard does not receive the chemical. In the fall, the yield is determined (number of apples harvested per acre). What is the dependent variable

Answers

Following are the dependent variables:

1. The amount of water that each orchard receives.

2. The species of trees in the orchard.

Reason:

The exercise scientist is looking for the effects of a chemical between an apple crop to which it is administered and another to which it is not, 4 options are presented, of which it is essential to count as a variable the amount of water each Orchard and tree species in the orchard, since they can generate alterations in the results, the other two variables of the exercise such as number of apples and size of the orchards are not significant and their variations do not affect the scientist's objective.

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Part E:
Write the equation of the graphed function f(x), where a is the leading coefficient. Use the factors found in part D. Express the function as the product of its leading coefficient and the expanded form of the equation in standard form.

Answers

The equation for the graphed function is (x+20)(x+5)(x-15).

How to illustrate the equation?

It should be noted that a graph shows the relationship between variables.

From the graph, the equation is x³+10x²-275x-1500.

In this case, this can be  as - (x + 20)(x + 5)(x - 15)

The graph crosses the x axis. The coefficient is negative because the graph rises to the left.

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The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M'?​

Answers

Answer:

(-4,-4)

Step-by-step explanation:

If the point is moved 2 units to the rights then we add 2 to the x value: -6+2 = -4

(-4,-4)

Micheal measured the distance around the circler swimming pool as apppoximly 108 feet which of the following represents the approximates radius of the circular swimming pool

Answers

The radius of the circular swimming pool is 17.20 feet.

What is the radius?

The distance round the  circular swimming pool is the circumference of the circle.

Radius = circumference / (pi x 2)

108 / (3.14 x2)

108 / 6.28 = 17.20 feet

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3x-6=15 what is the value of x?

Answers

Answer:

7

Step-by-step explanation:

frist simplfying

3x-6=15

addind six to both side

3x-6+6=15+6

3x=21 dividing by 3

x=7

PLEASE HELPPPoirnginrigniniervifire

Answers

Answer:

555 m

Step-by-step explanation:

Because the model should have identical proportions to the real-life tower, the ratio between the height and shadow length of both diagrams should be the same.

Height (model)             Height (real)
-------------------------  =  ------------------------
Shadow (model)         Shadow (real)

Math:

 0.9 meters                   x
--------------------  =  ----------------------               <----- Ratio
 0.2 meters           123.3 meters

4.5 = x / 123.3 meters                                  <----- Divide 0.2 from 0.9

555 meters = x                                            <----- Multiply both sides by 123.3

ASAP help me 30 points

Answers

Answer:

large pitcher, or from 2 small pitchers, 1 medium pitcher, and 3 la

or from 2 small pitchers, 1 medium pitcher, and 3 large pitchers. If we use only large pitchers of water, Root Tissues

Identify the root tissues. Record your answer under "Slide 5" on your lab report.

I needed help solving this question please if u can

Answers

Answer:

1)  4x + 5y = 20         4x + 5y = 20  

  -2x + 3y = 12  -->  2(-2x + 3y) = 2(12)

2) 4x + 5y = 20  

  -4x + 6y = 24

3) 4x + 5y = 20  

   -4x + 6y = 24

   0x + 11y = 44

4) 11y = 44

5) y = 4

6) 4x + 5y = 20  

   4x + 5(4) = 20  

7) 4x + 20 = 20

8) 4x = 0

9) x = 0

10) The solution is the point (0, 4)

( 1 ) 0.006 m (cm) =
( 2 ) 17, 605 mm (km) =
( 3 ) 1,001,00 dm (km) =

Answers

the value of the given figures in the other units can be found to be:

0.006 m = 0.6 cm17,605 mm (km) = 0.017605 km1,001,000 dm = 10.01 km

what are the converted values of the figures?

A meter is 100 cm so:

= 0.006 x 100

= 0.6 cm

A kilometer is 1,000,000 mm so:

= 17,605 /  1,000,000

= 0.017605 km

A kilometer is 10,000 dm:

= 1,001,00 dm / 10,000

= 10.01 km

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Simplify the following expression. (2x-3)(5x^4-7x^3+6c^2-9)

Answers

The simplification of the expression (2x - 3)(5x⁴ - 7x³ + 6x² - 9) is 10x^5 - 29x⁴ + 33x³ - 18x² - 18x + 27

Simplification

(2x - 3)(5x⁴ - 7x³ + 6x² - 9)

= 10x^5 - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27

= 10x^5 - 14x⁴ - 15x⁴ + 12x³ + 21x³ - 18x² - 18x + 27

= 10x^5 - 29x⁴ + 33x³ - 18x² - 18x + 27

The simplified expression is 10x^5 - 29x⁴ + 33x³ - 18x² - 18x + 27

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I can find the perimeter and area of the rectangle

Answers

Answer:

A = 72, P = 38

Step-by-step explanation:

Area can be found by getting the area of the overall figure, and then subtracting the blank space in the corner

12 * 7 = 84

3 * 4 = 12(invisible rectangle in top right)

84 - 12 = 72

Perimeter can be found by adding all of the sides

12 + 7 + (12-4) + 3 + 4 + (7-4)

The numbers in brackets are the unlabeled sides on the top and left.

Answer:

[tex]P=38\\ A=72[/tex]

Step-by-step explanation:

To find the perimeter (P), add up all of the side lengths of the figure:

(numbers in parenthesis are the unlabeled values in the figure).

[tex]12+7+(8)+3+4+(4)=38[/tex]

To find the area of the figure (A), multiply the length and width of the original rectangle [tex](12*7=84)[/tex]. Then, subtract this amount (84) minus the area of the missing rectangle in the top left corner [tex](4*3=12)[/tex].

Subtract the required values: [tex]84-12=72[/tex].

Therefore, the perimeter of the figure is 38 units, and the area of the figure is 72 units.

f(x) = 7x

g(x) = 7x + 6

Which statement about f(x) and its translation, g(x), is true?

The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}.
The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}.
The asymptote of g(x) is the asymptote of f(x) shifted six units down.
The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Answers

The statement which is true about the translation is; The asymptote of g(x) is the asymptote of f(x) shifted six units down.

Which statement is true about the translation?

Since it follows from the task content that the function g(x) represents a 6 units vertical shift downward, it can then be concluded in the same regard that The asymptote of g(x) is the asymptote of f(x) shifted six units down.

Therefore, the true statement is; the asymptote of g(x) is the asymptote of f(x) shifted six units down.

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2x⁴ - 4-7x - 38x²/x - 4​

Answers

Answer:

2x⁴-45x-8

Step-by-step explanation:


5. Where is the graph increasing?

Answers

Answer:

Increases from points 0x,-6y to 2x,-3y.

Step-by-step explanation:

How do you find the interior angle of a triangle given the external angle of 125°

Answers

Answer:

<x = 55 degrees

<y = 55 degrees

<z = 70 degrees

Step-by-step explanation:

The 125 degree angle and x are supplementary since they form a straight line, which means that their degrees add up to 180. To find x, the interior angle, we must subtract 125 from 180.

180 - 125 = 55

Angle x is 55 degrees. Since the sides opposite x and y are marked with lines, they are congruent, and since the sides are congruent, the angles must be, too. So, y is also 55 degrees.

Finally, the angles in any triangle add up to 180 degrees. To find z, we must subtract the values of x and y from 180.

180 - 55 - 55 = 70, so z is 70 degrees.

Brainliest, please :)

❄Hi there,

the external angle & the interior angle form a linear pair, which means, if you add these angles together, you'll arrive at 180°.

Using this knowledge let's set up an equation and find x:

[tex]\triangleright \ \sf{125+x=180}[/tex]. We let x be the desired angle.

[tex]\triangleright \ \sf{x=180-125=55}[/tex]

So the interior angle is [tex]\angle\sf{55}\textdegree[/tex].

The perimeter of a rectangle is 96 ft and the width is 22 ft what is the length of the rectangle

Answers

The length of the rectangle is 26ft.

What is the perimeter of a rectangle?

The sum of all sides of a rectangle is the perimeter of the rectangle.A rectangle has two equal lengths and two equal widths.Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths. That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.

What is the length of the rectangle with perimeter 96ft and the width 22ft?

The perimeter of a rectangle is, P = 96 ft.

The width of the rectangle is, w = 22ft.

As we know the perimeter P of a rectangle is given by the formula, P=2l+2w

Therefore, substituting the values in the equation we get,

P = 2l + 2w

96 = 2l + 2*22

96 = 2l + 44

2l = 96 - 44

2l = 52

l = 52/2

l = 26

Hence, the length of the rectangle is 26ft.

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An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes that there is a 45% probability of winning the first contract. If they win the first contract, the probability of winning the second is 73%. However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 46%. A. What is the probability that they win both contracts

Answers

The probability that they win both contracts is 33% if there is a 45% probability of winning the first contract and the probability of winning the second contract after winning the first contract.

What is probability?

Probability is the rate of successful outcomes to the total outcomes of an event.

P(E) = n(E)/n(S)

Where E -event, n(E) - successful/favorable outcomes of event E, and n(S) - total outcomes of the event.

Calculation:

It is given that,

An aerospace company has submitted bids on two separate federal government defense contracts.

The probability of winning the first contract is - 45%

The probability of winning the second contract if they win the first contract is  - 73%

The probability of winning the second contract if they lose the first contact is - 45%

So, the probability that they win both contracts is

= (probability of winning the first contract) × (probability of winning the second contract)

= 0.45 × 0.73

= 0.3285 ≅ 0.33

33%

Therefore, the probability that they win both contracts is 33%.

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Describe the similarities and differences between solving an absolute value equation and solving an absolute value inequality.

Answers

Similarities and differences between solving an absolute value equation and solving an absolute value inequality are shown below.

Similarities and differences between solving an absolute value equation and solving an absolute value inequality:

1) The absolute value equation of a number is simply the number's distance from zero.

As a result, absolute values are always positive. This is due to the fact that they always employ the positive numbers contained within the absolute value sign. As a result, we can claim that they have a range that includes all positive values.Linear equations, on the other hand, specify values that can be negative, positive, or even zero. As a result, linear equations define all values.Another distinction is that the graph of an absolute value function is V-shaped, whereas the graph of a linear function is straight.

2) Absolute value inequalities and linear inequalities share the fact that they both have two variables and so require a second equation to obtain the variables.

Therefore, the similarities and differences between solving an absolute value equation and solving an absolute value inequality are shown.

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A 393939-meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder and the wall is increasing at 101010 meters per minute. At a certain instant, the bottom of the ladder is 363636 meters from the wall. What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)

Answers

The rate at which the distance between the top of the ladder and the ground at that instant is decreasing at 42 meters per minute.

Given length of ladder 39 m and the rate at which the wall is increasing is 101, the bottom of the ladder is 36 m from the wall.

Let bottom is x and the length of wall be y.

We have to find the rate at which the distance between the top of the ladder and the ground at that instant.

we have to find dy/dt.

We have to apply pythagoras theorem first.

[tex]x^{2} +y^{2} =39^{2}[/tex]---------------1

[tex]x^{2} +y^{2} =1521[/tex]

put the value of x=36 in the above equation

[tex]36^{2} +y^{2} =1521[/tex]

[tex]y^{2} =225[/tex]

y=15 m

We have to find the derivative of equation 1 with respect to t.

2x*dx/dt+2y*dy/dt=0

Because it is given that bottom is increasing at 101 meters per minute so dx/dt=101

2x*101+2y*dy/dt=0

put the value of y=15

2x*101+2*15*dy/dt=0

2x*101+2*15*dy/dt=0

dy/dt=-3030/2*36

dy/dt=-42.08

Hence the rate at which the rate at which the top of the ladder and the ground at that instant is decreasing at 42 meters per minute.

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Question is wrong so it includes ladder length be 39 meters and the rate of increasing of bottom of ladder from bottom of wall is 101 meters per minute and the bottomis 36 m from the wall.

The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B. Cone A radius is r and height h - Cylinder B radius is r and height h. True or false?

Answers

The ratio of the lateral surface area of cone A to the lateral surface area of cylinder B is equal to [tex]r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}[/tex]. (Correct choice: False)

What is the ratio of lateral area of cone to the lateral area of the cylinder?

In accordance with space geometry, the lateral areas of the cone and cylinder are described by the following equations:

Cone

[tex]A_{l} = \pi \cdot r \cdot \sqrt{r^{2}+h^{2}}[/tex]     (1)

Cylinder

[tex]A_{l} = 2\pi\cdot r\cdot h[/tex]     (2)

If we divide (2) by (1), then we have the following ratio:

[tex]r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}[/tex]

The ratio of the lateral surface area of cone A to the lateral surface area of cylinder B is equal to [tex]r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}[/tex]. (Correct choice: False)

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mr hassell came home to find that each of the 6 kit kat bars he brought had 1 bar eaten. They each had 3/4 in it.How many bars of kitkat are there in total.​

Answers

The total number of bars of kitkat Mr hassell had in total is 3 1/2 bars

Algebra

Number of bars = 6Number of bars eaten = 1Number of bar in each KitKat = 3/4

Total bars of KitKat = 6 × 3/4

= (6×3)/4

= 18/4

= 9/2

= 4 1/2 bars

Number of bar remaining after eating 1 bar = 4 1/2 - 1

= 3 1/2 bars

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Which is the graph of f(x) = }(4)*2

Answers

Answer: D

Step-by-step explanation:

Where the x-intercept is 0.25.

Which choices are equivalent to the quotient below? Check all that apply. √16 √8​

Answers

The equivalent quotient of the expression √16/√8 are: √2 and √4 / √2

How to find the equivalent of a quotient?

We want to find the equivalent quotient of the given expression; √16 / √8

Now, we know that the square root of 16 is equal to 4 i.e. √16 = 4

Thus, applying that to our expression gives;

√16/√8 = 4/√8

Now, square root of 8 which is √8 can also be expressed as; 2√2

Thus;

4/√8  = 4/2√2 = 2/√2

The steps to rationalize the denominator, to get rid of all radicals that are in the denominator are as follows;

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.

Step 2: Make sure all radicals are simplified.

Step 3: Simplify the fraction if needed.

If we rationalize the denominator of our expression, we have;

2/√2 × √2/√2 = 2√2/ 2 = √2

Also, 2/√2 can be expressed as √4 /√2

Therefore, The equivalent quotient of the expression √16/√8 are: √2 and √4 / √2

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250-{(135+34)÷(46-33)}-15 simplify​

Answers

Answer:

222

Step-by-step explanation:

Hey there!


250 - {(135 + 34) ÷ (46 - 33)} - 15 

= 250 - 169/(46 - 44) - 15

= 250 - 169/13 - 15

= 250 - 13 - 15

= 237 - 15

= 222


Therefore, your answer should be:

222


Good luck on your assignment & enjoy your day!



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-2(x-0.5+1) i have this question and i really really really need help in solving it so...yeah!

Answers

Answer:

Step-by-step explanation:

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