Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers separated by commas.​

Answers

Answer 1

One possible answer is: 1, 8, 17, 32, 4, 12

I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2

The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.

Then after 17 is 32 because 17+32 = 49 = 7^2.

Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).

Other answers may be possible. I haven't checked all possible permutations.


Related Questions

The table shows the cost in dollars, y, for shipping x number of chargers and electronic tablets.



Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?

y = 2.00x + 4.00
y = 6.00x + 12.00
y = 3.50x + 2.50
y = 10.50x + 7.50
please help

Answers

is there any starting numbers so i can solve the equation correctly or no?

what is the area of a circle if the diameter is 6 in

Answers

Answer:

28.27 in²

Step-by-step explanation:

Since Area =  π  times  r²

And  2

r  =  Diameter

As  Diameter  =  6

r = 3

Area =  π x  3²

        = π x 9

        = 28.27 in²

Find the product of 11/12 (-2.4)

Answers

Answer:

-1.961666666666

Step-by-step explanation:

The highest level of PEMDAS here is multiplication/division which is done left to right. So do 11/12 first.

11/12 (-2.4)

.916 (-2.4)

Then multiply to get an answer of -1.961666666 ( the six repeats forever)

A 30 foot ladder is placed against a vertical wall so that the base of the ladder is 10 feet from the base of the wall. How far up the wall does the ladder reach?

Answers

Answer:

the answer is approximately 28.28

Step-by-step explanation:

you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.

+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.

Answers

Answer:

4. The quotient of 0 and a is undefined.

Step-by-step explanation:

Let's examine each statement to see which is true or untrue.

✔️Statement 1:

a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.

Statement 1 is true.

✔️Statement 2:

Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.

Statement 2 is correct.

✔️Statement 3:

c is a positive number. b is negative number. Positive divided by negative = negative.

Statement 3 is correct.

✔️Statement 4:

Dividing 0 by any number would give us a quotient of 0.

Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.

Rina’s recipe uses 2 cups of sugar to make 2 ½ dozen cookies. Jonah’s recipe uses 2 ¼ cups of sugar to make 3 dozen cookies. Which recipe uses more sugar for a dozen cookies? Why?

Answers

Answer:

Let's calculate the "cups of sugar per dozen cookies" ratio:

2 cups

---------- = 0.8  (Rina)        

  2.5                                  

2.25 cups

------------- = 0.75 (Jonah)

     3

Rina uses more sugar for a dozen cookies.

I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on gas for 6 weeks on the taxi driver’s bank account, in dollars?

Answers

.Answer:

-105

Step-by-step explanation:

Given

[tex]Gas = \$105[/tex] for 6 weeks

Required

Represent this as an integer

If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.

Debit implies negative and it is represented by a negative symbon

Hence, the integer that represents this scenario is -105

A school has 30% of girls and 70% boys. If 10% of the girls wear glasses and 20% of the boys wear glasses, what percent of all students wears glasses?

Answers

Answer:

17%

Step-by-step explanation:

If 30% of the school is girls and 10% wear glasses, that means that at least 3% of the school wears glasses. (10 percent of 30%) If 70% of the school is boys and 20% of boys wear glasses, at least 14% of the school wears glasses. (20% of 70%) If you add both of those numbers together it adds up to 17%.


Two towns that are 31.5 km apart are 3 cm apart on a map. What is the scale of the map?
A. 1 cm = 29.5 km
B. 1 cm = 9.5 km
C. 1 cm = 10.5 km
D. 1 cm = 15.5 km

Answers

Answer:

3 cm on the map represents 31.5 km in reality.

3cm : 31.5 km

1cm :  31.5/3 km

1cm : 10.5km

So the scale on the map is 1cm represents 10.5 km.

A track team ran 8 and 3/4 miles (mi) in 5 days. If they ran the same distance each day, how far did they run in one day?

Answers

Answer:

1.75

Step-by-step explanation:

First I converted

8 3/4 to 8.75

then I divided

8.75 / 5

= 1.75

The team ran 1.75 miles each day if they ran the same distance each day.

What is the division operation?


In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

A track team ran 8 and 3/4 miles (mi) in 5 days.

To find out how far the track team ran in one day, you need to divide the total distance run by the number of days.

8 and 3/4 miles = 8.75 miles (by converting mixed numbers to decimal)

total distance = 8.75 miles / 5 days

Apply the division operation, and we get

total distance = 1.75 miles/day

Therefore, the team ran 1.75 miles each day.

To learn more about the division operation click here :

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need help plz thanks​ for the help

Answers

Answer:

m<C = 66°

Step-by-step explanation:

Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:

(5x + 9)° = (7x + 3)°

Solve for x

5x + 9 = 7x + 3

Collect like terms

5x - 7x = -9 + 3

-2x = -6

Divide both sides by -2

x = 3

✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)

m<C + 90° + (7x + 3)° = 180 (substitution)

Plug in the value of x and solve

m<C + 90 + 7(3) + 3 = 180

m<C + 90 + 21 + 3 = 180

m<C + 114 = 180

m<C = 180 - 114 (Subtraction property of equality)

m<C = 66°

Adam biked 6 3/4 miles to work and then 3 2/5 miles to the store. How many miles had he biked that day when he arrived at the store

Answers

Answer:

6 + 3 + 1.15 = 10.15 miles

Step-by-step explanation:

You do 2/3 of your math homework problems on Saturday. What fraction of your math problems must you do on Sunday in order to finish your homework?

Answers

Answer:

1/3 of your math problems need to be completed on Sunday if you did 2/3 on Saturday.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

You already did 2/3 on Saturday. So what left to do on Sunday in order to finish your homework is 1/3 more.

A rectangular photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What is the perimeter, in inches, of the reduced picture?

Answers

16*0.75= 12 in
12*0.75=9 in
9+9+12+12=42 in
Answer: 42 in

i need help please ​

Answers

I also need help but mentally lol ok so what I don’t know then Answer but I can tell u what to do so all the numbers under the minutes ur gonna subtract to find the difference in between and then u add the difference and that should be ur answer lmk if u understand

Answer:

kgjyfhtgdxhfc

Step-by-step explanation:

jgvkhjjhgdjfgkh

35% of 80 is what?

Helppppppppp

Answers

Answer:

Its 28.

Step-by-step explanation:

Answer:

Its 28

Step-by-step explanation:

1. Write 35% as 35100.

2. 35100 of 80 = 35100 × 80.

3. Therefore, the answer is 28. If you are using a calculator, simply enter 35÷100×80 which will give you 28 as the answer.

plz brainlist if i helped

the equation of three lines

Answers

¿por qúe? . ........
point-slope form, standard form, and slope-intercept form

HELP ASAP R THESE ONE SOLUTION, TWO, OR NO SOLUTION

Answers

Answer:

I think it's 2 solution

A solid metal cube 8 cm on each side is melted and recast
into a solid cylinder with radius 10 cm. What is the height
of the cylinder?

Answers

Uhhhhh I think I think its...18ft

Solve the equation ƒ - (-4) = 12.

ƒ = -8
ƒ = 8
ƒ = 16
ƒ = -9

???

Answers

The answer is 8 have a good day
What he said answer is 8

The ratio of employees who own a red car to employees who own a black car is
1:5. If there are 6 employees who own a red car, how many employees own a
black car? *

Answers

Answer:

There would be 30 black cars.

Since the ratio is 1:5

And we know that there are 6 red cars,

we basically just input it in our ratio

so it would look like 6:x

Now, we just have to plug in for x.

To do that, you have to multiply 6 by 5

To match the ratio.

So that would give us 6:30

And if we divide by 5 we should get our original ratio.

I know this seems confusing haha, but I hope you get it, it's not as hard as it looks !!

12(1.5x+2) = 14(x+10.5)

Answers

Answer:

No Solution.

X cannot equal anything in order for these to be equal.

Step-by-step explanation:

Using the function f(x) = 3x – 5, what would the output be for an input of 4?

Answers

Answer:

Step-by-step explanation:

3 x 4 - 5

= 7

The required output of the given function at x = 4 is given as f(x) = 7.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To evaluate output from the function f(x) = 3x - 5, at x = 4 we must put the value of x in the function:
f(4) = 3(4) - 5
f(4) = 7

Thus, the required output of the given function at x = 4 is given as f(x) = 7.

Learn more about simplification here:

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find slope please help

Answers

Answer:

slope = -5/2

Step-by-step explanation:

rise/run

down 5

right 2

A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?​

Answers

Answer:

y - 5 = 9 (x-4)

Step-by-step explanation:

LAST ONE, GET IT RIGHT PLS.. IF U DONT ITS OK

NOW MY POINTS ARE GONE>> USE WISLY

Answers

Answer:

I think that it is the first one and the third one.....

I hope that it is correct, I tried helping you get it correct

This, is as far as I go. Goodluck with the rest man. Let me know if you need more assistance. :)

Simplify 8x + 9d + 3x -5d
Please Do Show Your Work Explanation

Answers

Answer:

The answer is =4d+11x

Step-by-step explanation:

8x + 9d + 3x -5d

=9d-5d+8x+3x

=4d+11x

Answer:

putting in arranged and sum the like terms

8x+3x+9d-5d

11x+4d

A pizzeria's gains and losses for 3 months are: $627, -$480, and $854. What is the pizzeria's total profit or loss after 3 months?
A. $1961
B. $147
C. $374
D. $1001

Answers

Answer:

1001

Step-by-step explanation:

Answer:

$1001

Step-by-step explanation:

$627 -$480 + $854 = 1001$

Solve for EG. A) 18 B) 12 9 D) 6​

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

BRAINLIEST PLEASE

Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.

Answers

Answer:

2 1/3+5/6+1/6= 3 1/2

Step-by-step explanation:

Change your denominator to 6 and add then reduce if possible

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