Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now.

Given that my age is an integer number of years, what is the smallest my age could be?

Answers

Answer 1
1/5 = 0.2
1/4 = 0.25
0.8x > 0.75(x + 1)
0.8x> 0.75x + 1
- 0.75x
0.05x > 1
÷ 0.05
x > 20
So because x (their current age) can't equal 20, the smallest value you can have is 21, which is your answer. Let me know if you have any questions, hope this helps :)

Related Questions

what is the percent of increase for a population that changed from 438000 to 561000

Answers

It would be: 561000 - 438000 / 438000 * 100
 = 12300 / 438000 * 100
 = 1230000 / 438000
 = 28.08

So, your final answer is 28.08%

Hope this helps!

Jordan made a scale drawing of the Statue of Liberty. He used the scale 1 in. = 30 feet for his drawing. The actual height from the ground to the top of the torch is 305 feet 6 inches. What is the distance, rounded to the nearest inch, from the ground to the top of the torch in Jordan’s drawing? A. 10 in. B. 11 in. C. 15 in. D. 25 in.

Answers

A. 10 inches. Because it comes out to be 10.4 which rounds down to 10.
A

I did math 

much A

Such correct

If A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}, find A Intersects with B.



A.
{2, 4}


B.
{1, 2, 3, 4, 5, 6, 8, 10}


C.
{1, 3, 5}


D.
{7, 9}

Answers

answer is A.
{2, 4}
................................................

Allen is traveling 65 MPh. how many hours will it take for him to travel 585 miles?

Answers

Final Answer:

It will take Allen approximately 9 hours to travel 585 miles at a speed of 65 miles per hour.

Explanation:

To determine the time Allen will take to cover a distance of 585 miles while traveling at 65 miles per hour, the formula for time, which is distance divided by speed, is used. Using this formula: Time = Distance / Speed. In this case, Time = 585 miles / 65 miles per hour, which equals approximately 9 hours. This calculation is derived by dividing the total distance Allen needs to travel, which is 585 miles, by his speed of 65 miles per hour, giving us the time it will take for him to complete the journey.

This formula of time equals distance divided by speed is a fundamental concept in physics and helps calculate the time taken to cover a given distance at a certain speed. By dividing the distance of travel by the speed at which Allen is traveling, we get the time required for the journey.

Understanding the relationship between distance, speed, and time enables us to compute travel durations accurately. In this case, for Allen traveling at a constant speed of 65 miles per hour, dividing the total distance of 585 miles by his speed reveals that it will take him approximately 9 hours to reach his destination.

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Which of the tables represents a function?


Table A
Input Output
4 3
3 2
3 1
Table B
Input Output
1 3
3 5
5 7
Table C
Input Output
0 0
1 4
1 5
Table D
Input Output
4 1
4 2
4 3








Table A
Table B
Table C
Table D

Answers

Table B. The same input can't go to different outputs

Answer:

In functions, there can be more than one of the same output, but there cant be more than one of the same input.

Step-by-step explanation:

Let's look at table A.

Input Output

4 3

3 2

3 1

We have two 3's for our input.

Let's take a different approach to this if you don't understand.

Let's imagine we have a vending machine.

If you press the number 2 you get Doritos

If you press the number 4 you get Sprite

Though if you press the number 3 you could either get Cashews or Cheetos. If you paid for the Cheetos and you get Cashews, that wouldn't be good; Its like a guessing game.

So, therefore Table A is NOT correct, as two of our input's are the same number.

Now let's look at Table B

Input Output

1 3

3 5

5 7

All of our input's are different, which is good. Let's imagine the vending machine again.

Pressing number 1 gives us Doritos

Pressing number 3 gives us Barbecue Chips

Pressing number 5 gives us Kettle Chips.

We get what we pay for, which means, in this equation, if you input is number 1, we will have number 3 as our output, ect.

This table IS correct.

I think you can apply this procedure to the other two tables to determine which one is right :)

Hope this helps, reach out if you need any more help!

A rectangle has an area of 20 square feet and a length of 6 feet. What is its width? show me how you got the answer.

Answers

3 1/3 is the width of the given rectangle.

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

We can use the formula for the area of a rectangle, which is:

area = length x width

We are given the area as 20 square feet and the length as 6 feet. We can plug these values into the formula and solve for the width:

20 = 6 x width

Dividing both sides by 6, we get:

width = 20/6

Simplifying this fraction, we get:

width = 3 1/3 feet

Therefore, the width of the rectangle is 3 1/3 feet.

Learn more about Area here:

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Final answer:

To calculate the width of a rectangle when the area is 20 square feet and the length is 6 feet, you divide the area by the length to get the width, which is 3⅓ feet.

Explanation:

To find the width of a rectangle when the area and the length are given, you can use the formula for the area of a rectangle, which is Area = length × width. In this case, we are given the area (20 square feet) and length (6 feet), so we set up the equation:

20 square feet = 6 feet × width

To solve for the width, we divide both sides of the equation by the length (6 feet):

Width = 20 square feet ÷ 6 feet

Width = 3.3333 feet or 3⅓ feet

Therefore, the width of the rectangle is 3⅓ feet.

Explain why it is possible to draw more than two different rectangles with an area of 36 square units, but it is impossible to draw more than two different rectangles with an area of 15 square units. The sides of the rectangles are whole numbers.

Answers

area=legnth times width
see the factor pairs
36=
1*36
2*18
3*12
4*9
6*6
more than 2 factor pairs so more than 2 ractangles


15 factor pairs
15=
1*15
3*5
those only
there are only 2 factor pairs

Suppose you had to find 4x57. How are expanded algorithm and standard algorithm alike? How are they different?

Answers

i guess 4 x 57 = 4(50 + 7) = 200 + 28 = 228. 
The other is to say 57 x 4: 
7x4 = 28 write down the 8 and carry the 2. 
5x4 = 20, add 2 to get 22 and write 22. 
Answer is 228. 

_ 57 
_ x4 
------ 
228

3x+1/5y=7 solve for y

Answers

Hello!

First, let's write the problem.
[tex]3x+\frac{1}{5}y=7[/tex]
Subtract 3x from both sides.
[tex]3x+\frac{1}{5}y-3x=7-3x[/tex]
[tex]\frac{1}{5}y=7-3x[/tex]
The opposite of division is multiplication, so we are going to multiply in order to undo the fraction.
[tex]5\cdot \frac{1}{5}y=5\cdot \:7-5\cdot \:3x[/tex]

Our final answer would be, 
[tex]y=35-15x[/tex]

Thanks!
-TetraFish

Last year you received 25 valentine cards from all of your friends. This year you received 30 total valentines. Calculate the percent change

Answers

15%  i could tell after finding 25s half point which is 14.50

A line passes through (8,-1) and is perpendicular to y=2x-9. What is the equation of the line in point-slope form?

Answers

y = 2x - 9.....slope here is 2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular line will have a slope of -1/2.

y - y1 = m(x - x1)
slope)m) = -1/2
(8,-1)....x1 = 8 and y1 = -1
now we sub...pay attention to ur signs
y - (-1) = -1/2(x - 8)...not done yet
y + 1 = -1/2(x - 8) <== ur perpendicular line

The equation of the line in point-slope form is y = -1/2x +3.

What is the slope of a line?

A line's slope is defined as the ratio of the change in the y coordinates to the change in the x coordinates.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate.

Given coordinates (8, -1)

and the equation of a line  is y = mx + c

given equation  = y = 2x - 9

comparing from the equation of line we get m = 2

but the line passes from (8, -1) is perpendicular to a given line,

so the value for slope(m) for perpendicular is inverse of the negative of the slope of a given line,

so m = -1/2

and equation is (y - y₁) = m(x - x₁)

where y₁ = -1 and x₁ = 8

substitute the values

y - (-1) = -1/2(x - 8)

y + 1 = -1/2(x - 8)

y = -1/2x +4 -1

y = -1/2x +3

Hence the equation of a line is y = -1/2x +3.

Learn more about slope of a line;

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At the start of the week, you could complete 12 push-ups. By the end of the week, you could complete 17 push-ups. Which proportion could you use to find the percent increase in the number of push-ups you can complete

Answers

It would be: 5/12 * 100 = 500/12 = 41.66%

So, your final answer is 41.66%

Hope this helps!

Answer:

The percentage increase is equal to [tex]41.67\%[/tex]

The proportion to find the percentage increase is equal to [tex]\frac{5}{12}*100[/tex]

Step-by-step explanation:

we know that

[tex]12\ push-ups[/tex] ------> represent the [tex]100\%[/tex]

The increase of push-ups is equal to

[tex]17-12=5\ push-ups[/tex]

by proportion

[tex]\frac{12}{100}\frac{push-ups}{\%} =\frac{5}{x}\frac{push-ups}{\%}\\ \\x=\frac{5}{12}*100\\ \\x=41.67\%[/tex]

The percentage increase is equal to [tex]41.67\%[/tex]

The proportion to find the percentage increase is equal to [tex]\frac{5}{12}*100[/tex]

Which answer option shows the correct placement of the parentheses to make this a true number sentence? 8 + 4 ÷ 2 = 6

Answers

(8+4)/2=6 would be the correct placement of the parentheses.
The correct placement would be (8+4) divided by 2 = 6. I don't have the division key on my device. In addition, the sum of 8 and 4 is 12. Then 12 divided by 2 is 6.

triangle has angles that measure 106° and 59°. What is the measure of the third angle? A. 15° B. 47° C. 74º D. 121°

Answers

Add 106º+59º together which gives us 165º

We know that triangles are 180º

Therefore the answer is A: 15º

A group of 140 tourists are going on a tour. The tour guide rents 15 vans. Each van holds 9 tourists. What does the remainder mean in the context of the problem?

Answers

The remainder mean are the tourist who aren't able to get on the ban so you need to make sure you have enough vans for all the tourists
The context is the amount of the tourists who can't get on a van

the perimeter of the rectangle is 96 feet find the dimension of the rectangle If the ratio of the length is the width is 7:5 which of the following would be the best equation to use to solve this problem.

A.2x+2x=96

B.7x+5x=96

C.2 (7x)+2 (5x)=98

D.7x/5x=96

Please help.

Answers

I hope this helps you

how do you shade the model to show the decimal 0.542

Answers

You turn the decimal into a percent

One pound of chicken costs $3.Jim buys 8 and 2/3 pounds of chicken.how much does jim pay for the chicken?

Answers

it would cost $26 because 3x8=24. 3/1/3=1. so 1/3=$1.

Rita sprinted 77 feet in 10 seconds. how many miles per hour is this

Answers

There are 60 seconds in a minute. 77 x 6 = 462 feet.
60 minutes in an hour. 462 x 60 = 27,720 feet converted feet into miles = 5.25 MPH.

--
;)

Final answer:

Rita sprinted 77 feet in 10 seconds. Her speed is approximately 5.25 miles per hour.

Explanation:

To convert the distance covered by Rita from feet to miles, we need to divide the distance by the number of feet in a mile:

77 feet ÷ 5280 feet/mile = 0.0145833 miles

To convert the time from seconds to hours, we need to divide the time by the number of seconds in an hour:

10 seconds ÷ 3600 seconds/hour = 0.00277778 hours

To calculate the speed in miles per hour, we divide the distance by the time:

Speed = Distance ÷ Time = 0.0145833 miles ÷ 0.00277778 hours ≈ 5.25 miles per hour

You float 2000 feet along a lazy river water ride. The ride takes less than 10 minutes. Give two examples of possible times and speeds.

Answers

if you travel at 200 feet per minute you can make in ten minutes
Because 200 times 10 equals 2000

An automobile detailer can detail 20 cars in 10 hours. At this rate, how many cars can he detail in 1 hour?

Answers

20/10 is 2 so he can detail two cars an hour

Write an equation about having 6 puzzles, getting 5 more and having a lot now.

Answers

6+5=11
or
6+5=?
It shows we originally have 6 and now have 5 more having a total of 11

Which of the following is equivalent to 0.01?
A.10^00.1
B.10^-2
C.10^-1
D.10^1

Answers

D is the answer to your question
the answer is b. 10^-2

(05.01)A scale drawing of a bathroom is shown below: A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 3.5 inches. The scale is 1 to 20. What is the area of the actual bathroom in square feet? Round your answer to the nearest whole number. 7 ft^2 19 ft^2 12 ft^2 140 ft^2

Answers

2 by 3.5 is the area for the model.
Every 1 is meant to represent 20, so multiply both 2 and 3.5 by 20.
2 * 20 = 40
3.5 * 20 = 70
40 * 70 = 2800 in^2
Every 12 inches is 1 foot so divide 2800 by 12^2 (one square foot), or 144.
2800/144 = 19.44444
Round down because .4 is less than half.
Approximately 19 ft^2

19ft^2

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The function f(x)=3(2.5)^ is shown on the graph. Fill in the blank. As x increases without bound, the graph of f(x) _________________.

decreases without bound

increases without bound

approaches y=0

approaches y=3

Answers

The answer is B increases without bound

need help plz supposed to turn 8/27 into exponents please help

Answers

Really simple when you look at it.

You need 3 numbers multipled together, which means you need the third root

what is a number that multipled by itself will give 8? how about 27?

2x2x2 = 8
3x3x3 = 27

so the answer in all of them is (2/3)x(2/3)x(2/3)

Using scale factor of 1 inch = 5 feet, the blueprint dimensions of bedroom that is 12 feet x 18?

Choices
A) 2.2 in. X 3.3 in.
B) 2.4 in. X 3.6 in.
C) 2.8 in. X 4.2 in.
D) 2.9 in. X 5.0 in.

Answers

The only thing that you need to do on this problem is divide.

The first dimension is 12 feet so we need to divide that by 5.

12 / 5 = 2.4

The first dimension is 2.4. 

From this point we don't need to solve any more because there is only one answer with 2.4 in it, so we can conclude that the answer is B

The blueprint dimensions for a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet are 2.4 inches by 3.6 inches, which is choice B.

To find the blueprint dimensions of a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet, we need to convert the actual dimensions to inches on the blueprint. For the length:

12 feet / 5 feet per inch = 2.4 inches

And for the width:

18 feet / 5 feet per inch = 3.6 inches

Therefore, the dimensions on the blueprint would be 2.4 inches by 3.6 inches, which corresponds to choice B.

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. Answer:

Answers

a)
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12

Hope this helps :)

Well if I did the right calculations... Kim is 24. The sister is age twelve! Hope I helped.

A. K+S=36

B. Well Simple Addition and Subtraction solves this easily. If you Add 12+12 it equals 24. It still needs to be larger so that Kim is twice as old as her little sister. So you Add another 12 which gives you 36. Or you can easily subtract 12 from it and that will also bring you to 24. 

cassie has 8 red and 12 yellow marbles. her mom doubles her collection. use tyhe distributive property to show how many she has now.

Answers

2(8+12)
2(8)+2(12)
that is 16 plus 24 which makes 40

what is 2 fifths of 25

Answers

25 ÷ 5 = 5 = 1 fifth
5 × 2 = 10 = 2 fifths
Hope this helps!
the answer is 10 two fifths of 25 is 10
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