The square of 356 is 126,736 and the square of 357 is 127,449. What is 3582? Try to solve this problem without multiplying. Show your work.

Answers

Answer 1

Answer:

The problem to get 358² is solved by adding 357 twice and then add 1 to the value of 357²

Step-by-step explanation:

The given information are;

The square of 356 = 126,736

The square of 357 = 127,449

We note that 357² = (356 + 1)² = 356² + 2×356 + 1 = 126,763 + 712 + 1 = 127,449

We can write the above equation as follows;

357² = (356 + 1)² = 356² + 356 + 356 + 1 = 126,763 + 712 + 1 = 127,449

357² = 127,449

Similarly, we have;

358² = (357 + 1)² = 357² + 357 + 357 + 1 = 128,164

358² =  128,164

We can also look at the question as forming squares with tiles

To form the square tile with 358 units per side, we add an extra row and column of 357 tiles each. Completing the figure with an extra tile at the top right or left corner

Therefore, the area of the 358 unit per side square = The area of the 357 unit per side + 357 + 357 + 1 =  128,164


Related Questions

Please show all work

Answers

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

HELP I NEED THE ANSWER FAST its says true or false false ( the absolute of a number can be negative

Answers

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation: Absolute value is the number of whole numbers the number is away from zero. So it can only be positive because you cannot have a number negative spaces away from zero

Write the hypothesis and the conclusion of each conditional.
1. If 3x-7 = 32, then x = 13.

Answers

Answer:

XDdddDddDDDDDDDDDDDDDDDDDDD

A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?​

Answers

Answer: No its not a right angled triangle. Please mark as brainliest!

Answer:

Yes

Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse

math help please! - ( 2/5 )

Answers

Answer:

D

Step-by-step explanation:

it is D because you always want x to be a lone fraction and that would be the first step im 99% sure unless someone can correct me :)

Answer:

d) subtract 15 from both sides

Step-by-step explanation:

Process of elimination:

a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.

b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.

c) to get rid of 15, which we need to somehow, we need to do the opposite operation than the one in the equation. 15 is +15, not negative, and so you would need to subtract to get rid of 15. This is why (c) is also wrong.

That leaves us, with (d), because you need to subtract 15 to isolate "x".

What is T?
3/8=t-1/8

Answers

Answer:

t = 0.5

Step-by-step explanation:

sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open

Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16

Answers

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

find the value of the variable (3p-6)

Answers

Answer:1/3

Step-by-step explanation:

3p- -5=6

- and - becomes +

3p+5=6

transpose 5 to the other side

3p=6-5

because on transposing + becomes -

3p=1

p=1/3

because multiplication changes to addition on transposing

please mark me as brainly .

Convert 5/8 into a denominator of 100

Answers

U can use the cross multiplication to find out

5/8 = x/100

x=5/8 * 100

x= 62.5

Your final answer: 62.5/100

Hope this does it

P.S

Plz mark brainliest?

HELP PLEASE WILL GIVE BRAINLIEST!

Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 17 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.

Which inequality represents the given situation?


A.
17 ≤ 2x - 9 ≤ 19
B.
17 ≥ 2x + 9 ≥ 19
C.
17 ≤ 2x - 9 ≥ 19
D.
17 ≤ 2x + 9 ≤ 19

Answers

we can eliminate A and C first because A says 17 would be the most or equal to when we know she said 19 would be the most and C says that 19 would be the least or equal to. so the answer would be D. but it’s D because B says 17 would be the most or equal while saying 19 would be the least and we know that’s not true.

TL;DR: the answer is D

what is 1+3x when x=1

Answers

Answer:

4

Step-by-step explanation:

1+3*1

3*1=3

3+1=4

Answer:

the answer is 4

Step-by-step explanation:

you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first

Who know this for my other math these plz

Answers

Answer:

7. c

8. d

9. c

10. c

11. b

12. d

13. c

Answer:

7. C: 80

8. D: 100

9. C: 80

Step-by-step explanation:

each line equals 180

where H is at, has a 100 above it.

that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.

you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff

giving brainlist so plzzz help

Fill in the missing numbers in these equations.

(-7) x ? = 14

Answers

(-7) is the answer -7 x -7 = 14

Answer:

x=-2

Step-by-step explanation:

Divide 14 by -7, then plug in the result(-2) in place of x.  Run this new equation(-7*-2=14) through your calculator to be sure it's correct.

Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75

Answers

Answer:

22.25

Step-by-step explanation:

there are no special things to be considered.

You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:

20.25 + 2 = 22.25

Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?

Answers

Step-by-step explanation:

A. For Tavon's gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=145-3.5x------1

for Tavon's second gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=125-3x-------------2

B. equating 1 and 2 we have

145-3.5x=125-3x

solve for x we have

145-125=-3x+3.5x

20=0.5x

divide both sides by x we have

x=20/0.5

x= 40

put x=40 in

y=145-3.5*40------1

y=145-140

y=$5

put x=40 in

y=125-3*40------1

y=125-120

y=$5

Plz answer I need help my teacher doesn't explain things good

Answers

270 is most probably the answer

What’s greater - 2/6 or - 3/8 or is it equal

Answers

Answer:

3/8 is greater

Step-by-step explanation:

I need help please , it would be nice

Answers

Answer:

cant see the picture

Step-by-step explanation:

Divide. Round to the nearest tenth if necessary. 118.5 divided by 5​

Answers

Answer:

23.7

Step-by-step explanation:

which is the graph of the exponential function y=8(5)^x?

Answers

Answer:

y=8(5)^(x)

Step-by-step explanation:

Cantrise surveyed 100 students about their favorite
type of music. After she makes the graph, she receives
two more votes for rap. What is the new ratio of rap to
total types of music?

Answers

Answer: 2:100

Step-by-step explanation:

urgent! please help!​

Answers

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch?

Answers

Answer: 27.5

Step-by-step explanation:

Answer:

it will cost $475

When the midpoints of a polygon with 14 sides are joined by the mid-segments, the resulting inscribed polygon will have how many sides? What if you inscribed another polygon inside the second polygon? How many sides would this new polygon have?

Answers

Answer:

im not sure if this is right or not but i think its 23

Step-by-step explanation:

Stephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers

Answers

220 papers

176 + 43 = 219
219 is closest to 220

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220

please help i don’t know how to find the slope

Answers

Y= mx+b is the formula for writing and equation for slope.


M= slope
B= y-intercept

You replace the m and b with the info given to you in the problem.

Answer: y = -3/4x -6

Help? Someone please?!

Answers

Answer:

b, d,

Step-by-step explanation:

The answer is B or d

Consider the triangle.
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C gle A, angle B

Answers

Answer:

c.gle c.angel B

Step-by-step explanation:

consider the triangle which shows the order of the angles from smallest to largest?

What is the answer to 0.75 (6+d)=12 step by step

Answers

Answer:

step 1:   0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75 = 5.25

It's correct answer

Step-by-step explanation:

55 = 18 +0.004x
What is x

Answers

55=18+0.004x
37=0.004x
9250=x

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Other Questions
3x - 5 = 2x + 10Whats the value of x PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis? How was the church important in the everyday life of most Europeans? Help me ASAP major grade Please help me with this. What is the quotient of -32/8? what do you think is a way for geologist to locate ore bodies? justify your answer Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms? Plz help! :) :D I will mark you as BRAINLIEST for the best answer!!! ( I actually mean it)Physical and Chemical Properties of MagnesiumHere is an EXAMPLE of how it has to be like. Instead of Mercury, you HAVE to do MagnesiumPhysical Properties of Mercury: Im a highly stable element, so you can count on meChemical Properties of Mercury: I love to travel but I do corrode aluminum so we wont be flying off on adventures in airplanes planes anytime soon Coming in at lunch for extra math help has really paid off! You started out scoring18 points on each quiz, but your number of points has been increasing 36% permonth for the last 5 months. How many points are you now earning per quiz? In "The Voyage of the James Caird," why does the author include this sentence about anunrelated casualty at sea?They would later learn that a 500-ton steamer had foundered with all hands in the samehurricane they had just weathered.to help readers understand how remarkable the success of the voyage was 1to explain what had happened to the ship the James Caird had left behindto demonstrate that the size of a boat is unimportant in a stormto add drama and suspense to her work of narrative nonfiction On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=14sinx+18 h(x)=14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade. A 0.3 second B 0.6 second C 1.6 seconds D 3.2 seconds Playing golf, Mike got a + 2on the first hole and - 2 on the second hole. What is his combined score for the first two holes? In which number is the digit 7 ten times larger than it is in the number 175?A) 379B) 607C) 730D) 7,513 What inspired American artists in the early nineteenth century, making their work unique? What 3 molecules, bondedtogether, create a single link in the DNA chain Which certifications would most benefit a medical coder seeking a position in a hospital?-CCS-CHDA-CCS-P-RHIT A hypothetical element has two main isotopes with mass numbers of 59 and 62. If 73.00% of the isotopes have a mass number of 59 amu, what atomic weight should be listed on the periodic table for this element? Answer in units of amu. Some helppppp!!!!! Im having trouble Hygiene is a part of?