the least number by which 7203 must be divided to make the result a perfect square is____​

Answers

Answer 1

Answer:

Step-by-step explanation:

we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49

Answer 2

Given number is 7203. First we write it as the product of prime factors.

[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]

Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.

____________________________________________


Related Questions

PLEASE HELP ASAP OF YOU DO FOD BLESS YOU BECAUSE IT WILL RAISE MY GRADE

Answers

Answer:

8

Step-by-step explanation:

The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.

Hope this helps!

help please anybody which too are correct ​

Answers

the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps

how do you find the height of the base

Answers

Answer: the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.

Step-by-step explanation:

Step-by-step explanation:

The formula for the Area of a triangle is A = (1/2)bh where b is the base an h is the height. Since the triangle is a right triangle, the base and height are the two shorter sides

34x+24x^2=35+57y
Solve for x

Answers

1) Move all terms to one side.

[tex]34x+24x^{2} -35-57y=0[/tex]

2) Use Quadratic Formula.

[tex]x=\frac{-34+2\sqrt{1368y+1129} }{48} ,\frac{-34-2\sqrt{1368y+1129} }{48}[/tex]

3) Simplify solutions.

[tex]x=-\frac{17-\sqrt{1368y+1129} }{24} ,-\frac{17+\sqrt{1368y+1129} }{24}[/tex]

Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?

Answers

Answer:

10.75

Step-by-step explanation:

first step is to find how much adam paid for each towel

so, the equation used will be x/y=c

where x is total cost, y is number of products bought, and c equals individual cost (with discount)

we end up with 105/14= 7.5$ per towel.

and to close out, we add the given discount of 3.25 to the discounted price of 7.5

which brings the usual price per towel to 10.25

Answer:

Step-by-step explanation:

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

A tree trunk can be thought of as a cylinder with a height of 1.7 M if the tree trunk has a diameter of 60 cm what is its volume in metres cubed give your answer to 2 decimal place.

Answers

The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.

To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.

Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.

We also must square the radius. So 30 cm multiplied by itself equals 900 cm.

Radius: 900 / 100 = 9 m

We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).

Now we can plug these values into the formula for the volume of a cylinder.

π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters

Rounded to two decimal places is 48.07 cubic meters.

The volume of the tree trunk is about 48.07 cubic meters.

Plz help me! 25 POINTS!

Answers

Answer:

  g(x) = 24(2^(x-1)) +16

Step-by-step explanation:

A function is stretched vertically by a factor of 'a' by multiplying by 'a'.

  g(x) = 4·f(x) = 4(6(2^(x-1) +4)

  g(x) = 24(2^(x-1)) +16

Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours?

Answers

8 hours is twice as many as 4:

Multiply the number of windows in 4 hours by 2:

32 x 2 = 64 windows in 8 hours

Answer:

64

Step-by-step explanation:

32÷4=8 8 car windows per hour. 8×8=64

Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O

Answers

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

What is graph?

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ7

will give brainlyist
What is the quotient of 1 and 7 over 8 ÷ 3 over 8?

Answers

Answer:

5

Step-by-step explanation:

[tex]1\frac{7}{8}\div\frac{3}{8}[/tex]

[tex]=\frac{15}{8}\div \frac{3}{8}[/tex]

[tex]=\frac{15\times \:8}{8\times \:3}[/tex]

[tex]=\frac{15}{3}[/tex]

[tex]=5[/tex]

The quotient is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given that:}\\[/tex]

[tex] \sf1 \dfrac{7}{8} \div \dfrac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{7 \times 8}{8} \div \frac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{15}{8} \div \dfrac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} }{ \dfrac{3}{8} } \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{ \dfrac{ \cancel \green3}{ \cancel \red8} \times \frac{ \cancel \red8}{ \cancel \green3} } \\ [/tex]

[tex]\sf \longmapsto \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{1} \\ [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{ \cancel \red8} \times \dfrac{ \cancel \red8}{3} \\ [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{3} \\ [/tex]

[tex]\sf\longmapsto \:\dfrac{15÷3}{3÷3}\\[/tex]

[tex]\sf\longmapsto \:\dfrac{5}{1}\\[/tex]

[tex]\sf\longmapsto \:\boxed{5} \: Answer.\\[/tex]

also read similar questions: Multiply. Write your answer as a fraction in simplest form...

https://brainly.com/question/25825525?referrer

Employee: "We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."10% 15% 20% 30% 40%

Answers

Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

150 = 100 120 = X 120 x 100/150 = X 80 = X 100 - 80 = X 20 = X

Therefore, the discount percentage is 20%.

Learn more about maths in https://brainly.com/question/26075432

Three children each contributed toward a birthday present for their mother. The oldest contributed three times as much as the youngest, while the second oldest contributed 50 cents more than the youngest. If the present costs $10.50, how much did each contribute?

Answers

Answer:

Youngest child: $2

oldest child: $6

Second oldest: $2.50

Step-by-step explanation:

Youngest child= x

oldest child= 3x

Second oldest: .50+x

x+3x+.50+x=10.5

5x+.50=10.5

    - .50= - .50

5x=10

divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.

The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Let the youngest sibling contribute the amount of x dollars

As per the given information,

3x + 0.50 x + x + x = 10.50

Apply the addition operation,

4.50x = 10.50

x = 10.50 / 6.50

Apply the division operation to get

x = 1.90

So the youngest sibling contributed = $1.90

The oldest contributed 1.90 × 3 = $5.27

And the second oldest contributed (1.50)1.90= $2.85

Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 36 minutes?

Answers

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?​

Answers

Step-by-step explanation:

In 8 gallons of gas the car can go = 400 miles

In 1 gallon of gas the car can go = 400/8

In 1 gallon of gas the car can go = 50 miles

How far can the car take you with 1 gallon of gas?​ With 1 gallon of gas, the car can go 50 miles.

Step by Step calculations:

We know that

With 8 gallons of gas, the car can go 400 miles

Then,

With 1 gallon of gas, the car can go

= 400 / 8

= 50 miles

Therefore, with 1 gallon of gas, the car can go 50 miles.

Learn more here : https://brainly.com/question/10153922

if x+y=10 and x-y =6 what is the answer of x cube - y cube fast​

Answers

Answer:

x+y=10 which means that x=10-y

Replace 10-y in the other equation which gives you:

10-y-y=6

10-2y=6

-2y=-4

y=2

Replace 2 in any of the 2 equations same answer for both:

x+y=10

x+2=10

x=8

So,

[tex] {x}^{3} - y^{3} [/tex]

[tex] = {8}^{3} - {2}^{3} [/tex]

=512-8

=504

Hope this helps!

Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat

Answers

The answer is b I just took the test

PLEASE HELP AS SOON AS POSSIBLE I NEED TO SUBMIT THIS IN 10 MINUTES!!!!


IT GIVES 20 points!!!

Answers

Answer:

1. A. falling asleep

2. D. taking more time to wind down before bedtime

3. B. There is more than one reason that people have trouble sleeping.

4. C. The problem of falling asleep has been around for a long time and affects many people

5. A. why kids have trouble falling asleep and what they can do about it

6. A. something done over and over

Step-by-step explanation:

Which angle is the largest?​

Answers

Answer:

the 4th choice

Step-by-step explanation:

hope this helps

MAy I get braineist pls????????

yeah I didn't pay attention today ​

Answers

Answer: 314.3

Explanation: multiply 449 by .30 and then subtract your solution of that to 449 and you will have your new sum

Could someone answer this in y=mx+b form please i cannot figure this out 2x-y=4

Answers

Answer:

y = 2x - 4.

Step-by-step explanation:

2x - y = 4

Subtract 2x from both sides

- y = -2x + 4

Multiply both sides by -1:

y = 2x - 4.

Answer:

y=-2x+4

Step-by-step explanation:

2x-y=4  -  move the 2x to the right side by subtracting 2x from both sides

2x - y = 4

-2x       -2x =

-y=-2x+4  -   negative variable turns into y, since the negative isn't relevant

y=-2x+4

WILL GIVE BRAINLIEST
Select the graph of the solution. Click until the correct graph appears.



| x | = 2

Answers

Answer:

It is the second graph, the one with two filled in dots, but no line.

Step-by-step explanation:

The reason it is not the first one is because it has not filled in dots, AND no line, so it's basically saying there is no answer, which is not true.

The reason the third one (the one with a line) is wrong is because, for example, x cannot be 1, because 1 ≠ 2, and if there is a line, it should be true.

Answer:

its the awnser with the 2 not the -2

Step-by-step explanation:

help please
The serving size for a toddler’s daily vitamin C is 4/5 cup of orange juice. If there are 3 1/4 cups of orange juice, how many servings of vitamin C are there for a toddler? Show your work

Answers

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

56:32=k:28 what is k?

Answers

Answer: k = 49Step-by-step explanation:56:32=k:28 => 32k = 56 x 28=> 8k = 56 x 7=> k = 7 x 7=> k = 49Conclusion:

Therefore, k = 49.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Eight times a certain number plus ten is equal to twelve times the same number minus seven

Answers

The answer is: 8x+10=12x-7
So the number you are looking for is: -12x+8x=-7-10
-4x=-17
4x=17
The answer is 17/4 or 4.25

If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD

B. EF

C. ED

D. CA

Answers

Answer:

EF

Step-by-step explanation:

BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.

Answer:

EF

Step-by-step explanation:

The corresponding side to BC is EF.

Look at the bolded letters

ABC DEF

notice the similarities?

Please find the surface area of the
Prism... I will mark you brainliest

Answers

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

Hope it's help

Suppose f(x) = x. Find the graph of f(x) - 5

Answers

Answer:

it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)

Im so confused of what to do?
if you're good at maths please help
with steps​

Answers

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

Help Asap I am stuck
suppose the value of an investment increases 12% per year and the investment has a current value of 33,00.00 which equation models the value of this investment after x years?

Answers

Answer:

bro pls someone hurry i need help

Step-by-step explanation:

Other Questions
He was more depressed than ever as he drove on by himself. The late afternoon had grown hot and sultry and the country had flattened out. Deep in the sky a storm was preparing very slowly and without thunder as if it meant to drain every drop of air from the earth before it broke. There were times when Mr. Shiftlet preferred not to be alone. He felt too that a man with a car had a responsibility to others and he kept his eye out for a hitch-hiker. Occasionally he saw a sign that warned: ""Drive carefully. The life you save may be your own."" Which statement most accurately represents the excerpts larger idea? Beauty and truth appear in unexpected places. Social isolation may lead people to act immorally. Getting what you want may not make you happy. You may not get everything that you have bargained for. Find the common factor in the given algebraic expressions: x(a-b), y (b-a) Explain please. 1. is a small stream or river that join into the main river To go university, first you _________ pass the leaving exam at secondary school.29 You _________ touch the animals at the zoo. You never know how they will react.30 Whenever you _________, try to help the other people.31 _________ we go out now or later?32 _________ you help me with my project,please? Find the value of x in the triangle shown below. A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue chips, and 6 yellow chips. The player wins $5 if a red chip is selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. Let the random variable x represent the amount won from the selection of the chip, and let the random variable w represent the total amount won, where w=x15. What is the mean of w ? $10. 50 answer a: $10. 50 a $4. 50 answer b: $4. 50 b $4. 50 answer c: negative 4. 50 dollars c $6. 50 answer d: negative 6. 50 dollars d $10. 50. For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x) what is chiaroscuro technique? cuanto es 6 millones de pesos colombianos en dolares Help!NO LINKS!!!Choose the correct set of y-values for the function y = -2x when x = -2, 0, 2.A. (-2, -4), (0, 0), (2, 4)B. (-2, 4), (0, 0), (2, -4)C. (-2, -4), (0, 0), (2, -4)D. (-2, 4), (0, -2), (2, 4) Explain the differences between an ethnic group and a religious group. NEED THIS DONE TONIGHT 100 POINTSSeveral prints were lifted from the scene of the crime. A few prints were found on the glass, others were found on the gun handle, and one partial print was lifted from the doorknob. The prints on the glass and the gun both belong to Dr. Fisher, but the partial print belongs to someone else. You run it through the criminal databasesbut no luck. Could it have been one of his colleagues? A visitor? A patient?Youll have to fingerprint some suspects to find out. But first, why not practice?Heres what youll need:PencilIndex cards or white paperTransparent tape (ie. Scotch tape) or clear packing tapeLight-colored balloon(s)Sharpie markerSmall paintbrush or makeup brush with soft bristlesCocoa powder, talcum powder, or cornstarchGlassYour Prints At LargeRub pencil lead over the index card or paper to make an ink pad.Blow up a balloon partway, so that its about as big as a baseball.Gently roll your entire fingertip, from one side to the other, across the ink pad. The pencil lead should be transferred to your finger.Using the same rolling motion, roll your fingertip onto the balloon, leaving your print.Do steps 3 and 4 for each finger on your right hand. You might have to make new ink pads along the way. Press each finger on a different part of the balloon or onto different balloons. Label each fingerprint with a sharpie marker.Blow up the balloon(s) all the way. Your fingerprints are now huge!Does each fingertip show a loop, arch, or whorl pattern? Record which pattern each fingertip shows.Lifting PrintsPress one of your fingertips against the glass so that you leave a fingerprint. Use one of the same fingers you used on the balloon.Gently brush a small amount of powder onto the print, using soft circular motions. The powder should stick.Use a piece of tape to lift the print.Transfer the print to blank paper or index cards by sticking the tape onto it.Compare the lifted print to the same print you made on the balloon. Do they match? How can you tell? What characteristics do the prints share? (At least two sentences)If you committed a crime, would it be easy for investigators to match this print to your records? Why or why not? Hint: hows the quality of the lifted print? How rare is your pattern? (At least two sentences) What is the solution set for x^2 - 2x - 15 = 0A. {-5, -3}B. {5, -3}C. {3, 5}D. {-3, 5} A fruit bowl contains 10 pieces of fruit and 2/5 are apples. How many apples are in the fruit bowl? What do major and minor parties do and how arethey different? find the some of -3x^2-x-10 and 10x^2+x-10 This person may be appointed by the executive branch of city government and confirmed by the legislative branch You can master the cello if you practice daily Answer the following question:7/2h - 3 (5h - 7/2) The diagram shows a rectangle 15cm long and 13cm wide.It has been split into four smaller rectangles. write the area of each small rectangle on the diagram.