If each side of a square grows 6 mm, the area of ​​the square is multiplied by 16. How long are the sides of the original square?

Answers

Answer 1

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm


Related Questions

Jake says that there should be a decimal point in the quotient 142.45 divide 1,925 after the 2.

Part A
Which equation shows the best estimate for the quotient?


A: 150 divide 10 = 15

B: 140 divide 10 = 14

C: 150 divide 5 = 30

D: 140 divide 7 = 20

How did u answer this?

Answers

Answer:

B

Step-by-step explanation:

If you did 1925 divided by 142.45 you get 13.51 so if you round it you get 14

Pls help due tomorrow!!

Answers

Answer: ⇒ Tisco is the best value shop.

Answer:

Azda has a better value

Step-by-step explanation:

Tisco: 4 x 1.56 = £6.24 x 3 = 18.72

Azda: 3 x 1.14 = 3.42 x 4 = 13.68

basic algebra please help

Answers

Answer:

The equation is linear. (-1, 5), (0, 3), (1, 1), (2, -1)

help help help help ​

Answers

Answer:

x=30 ; y=60 ; z=120.

Step-by-step explanation:

(we can solve it in a system.)

z+2x=180 => z=180-2x
y+4x=180 => y=180-4x

y+z=180

4x+2x=180 => 6x=180 => x=30

<=>


z=180-2*x=180-2*30=180-60=120

y=180-4x =180-4*30=180-120=60


A group of friends shared the cost of a printer. If John, Carl and Jason each paid $15, $25, and $112 respectively, then Carl paid what percent of the cost of the printer?

Answers

The percent of the cost of the printer Carl paid is 16.45%

The total cost of printer

Since John, Carl and Jason each paid $15, $25, and $112 respectively, the total cost of the printer is T = $15 + $25 + $112 = $152

Since Carl paid $25, we need to find the percent of the total amount Carl paid.

Percent Carl paid

So, percent Carl paid = amount Carl paid/total cost × 100 %

Since amount Carl paid = $25 and total cost = $152,

Substituting the values of the variables into the equation, we have

percent Carl paid = amount Carl paid/total cost × 100 %

percent Carl paid = $25/$152 × 100 %

percent Carl paid = 0.1645 × 100 %

percent Carl paid = 16.45%

The percent of the cost of the printer Carl paid is 16.45%

Learn more about percent here:

https://brainly.com/question/24877689

-1/4(x+1 2/3)=-2 1/5​

Answers

Answer:

x=\frac{64}{5}=12\frac{4}{5}

Step-by-step explanation:

1. Simplify the expression

\frac{-1}{4}\cdot\left(x+\frac{12}{3}\right)=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-1}{4}\cdot\left(x+\frac{\left(4\cdot3\right)}{\left(1\cdot3\right)}\right)=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-1}{4}\cdot\left(x+4\right)=\frac{+\left(-21\right)}{5}

Multiply the fractions:

\frac{\left(-1\cdot\left(x+4\right)\right)}{4}=\frac{+\left(-21\right)}{5}

Expand the parentheses:

\frac{\left(-x-4\right)}{4}=\frac{+\left(-21\right)}{5}

Break up the fraction:

\frac{-x}{4}+\frac{-4}{4}=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-x}{4}+\frac{\left(-1\cdot4\right)}{\left(1\cdot4\right)}=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-x}{4}-1=\frac{+\left(-21\right)}{5}

Answer:

The answer is x= 7 2/15. So the third one.

Step-by-step explanation:

Hopefully, this was helpful. :)

please help I need it

Answers

Answer:

25 kilograms = 25000

12 grams = 0.012

Answer:

Grams= 25000

kilograms= 0.012

Step-by-step explanation:

You borrowed $95 for 1 year at 5.2% interest that is compounded semi annually. What will you pay back in full?

Answers

Answer:

$100.00

Step-by-step explanation:

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.

The amount I have to pay back in full is approximately 100 dollars.

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded semi-annually is,

A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)

Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.

A = 95(1 + 0.026)².

A = 95(1.026)².

A = 95×1.052676.

A = $100 approximately.

learn more about compound interest here :

https://brainly.com/question/14295570

#SPJ2

Determine the type of triangle that is drawn below.

Answers

Answer:

scalene acute

Step-by-step explanation:

Since the 3 sides are unequal and the 3 interior angles are less than 90° it is scalene acute

Answer:

Scale acute

Step-by-step explanation:

Hi there!

This is a scalene triangle, meaning that none of the sides have the same length.

Because all of its interior angles are acute, meaning that they all measure less than 90 degrees, this is an acute triangle.

Therefore, this is a scalene acute triangle.

I hope this helps!

Sam kept track of the number of problems he was assigned for his math homework on the box plot. A number line goes from 0 to 28. The whiskers range from 4 to 26, and the box ranges from 11 to 26. A line divides the box at 15. Which statement must be true according to the box plot? The data is symmetric and shows that half of the assignments contained 15 problems or fewer. The data is symmetric and shows that the majority of the assignments had 19 problems or more. The data is skewed and shows that half of the assignments contained 15 problems or fewer. The data is skewed and shows that the majority of the assignments had 19 problems or more.

Answers

For the box plot of Sam, the data is symmetric and shows that half of the assignments contained 15 problems or fewer.

What is box plot representation of data?

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

For the box plot which Sam used to keep the track,

The number line goes from 0 to 28- This represents the line on which the box plot drawn.The whiskers range from 4 to 26- The wishers range shows the lowest and highest points. The minimum value of box plot is 4 and maximum value is 26.Box ranges from 11 to 26- This is the interquartile range of the box plot from 11 to 26.A line divides the box at 15- The line which divides the box called the medium line. Thus, the median of the box plot is 15.

For the given box plot the data is symmetric, and the medium of the box plot is 15. Thus, the half of the math assignment have less than 15 problem and half of them has more than 15 problems.

Thus, for the box plot of Sam, option A is correct which is, the data is symmetric and shows that half of the assignments contained 15 problems or fewer.

Learn more about the box plot here;

https://brainly.com/question/14277132

Answer:

A

Step-by-step explanation:

The data is symmetric and shows that half of the assignments contained 15 problems or fewer.

Percy paid $24. 10 for a basketball. The price of the basketball was $22. 99. What was the sales tax rate? A. 4. 58% B. 4. 80% C. 4. 85% D. 4. 83%.

Answers

Answer:

Option D

Step-by-step explanation:

Given the following question:
Original price = $22.99
Total price = $24.10

[tex]\frac{24.1-22.99}{22.99} \times100=24.1-22.99=1.11\div22.99=0.0482818617\times100=4.82818617[/tex]
[tex]4.82818617[/tex]
[tex]8>5[/tex]
[tex]=4.83[/tex]

The sales tax of the basketball was "4.83% or option D."

Hope this helps.

Please help asap (30 points)

Answers

Money = (1/2×6×7+1/2*3.14*3.5^2)×5.60+150= $375.30

how many solutions are in y=2x−4−21x+3y=3

Answers

Step-by-step explanation:

there are 2 variables in one equation, and none of the variables can be eliminated through simplification.

-19x + 3y - 4 = 3

-19x + 3y = 7

so, there will be infinitely many solutions.

A visual way of showing all possible outcomes can be formed using an)
A. tree diagram
B. flow chart
C. pictograph
D. pictogram

Answers

A. Tree Diagram - A visual way of showing all possible outcomes

Solve using substitution.

y = –3x + 4
y = –6x − 2

Answers

your answer should be

2 and 10

Please help :D
Brainliest

Answers

Answer:

3/20 & 15%

Percent:

0.15 move 2 right and get 15%

Fraction:

15/100 simplifies to 3/20

3/20,15%

yan po answer

=]

evaluate each of the expressions in the list for y=5. then, draw lines to match the expression in list A with their equivalent expression in list B

Answers

Answer:

so list a is 4 +4y is = 4y-4

4y+1 =5= 1+4y=5

4(y-1)=4(y+1)

Step-by-step explanation:

Answer:

List A: 4+4y=24

4(y-1)=16

4y+1=21

List B: 4y-4=16

4(y+1)=24

1+4y=21

so match 1A with 2B

2A and 1B

3A and 3B

sin(0)+cos(90)+cot(45)=​

Answers

Answer:

1

Step-by-step explanation:

sin0 + cos90 + cot45

0 + 0 + 1

= 1

Arrange the following in ascending order 1/5 2/3 4/15​

Answers

Step-by-step explanation:

in ascending order;

4/15 ,1/5 ,2/3

Answer:

1/5 < 4/15 < 2/3

Step-by-step explanation:

First of all, we will take the LCM of the denominators. the LCM will be 15, so we will multiply the fraction by the number that will give 15 in the denominator

1/5= 1*3/5*3= 3/152/3= 2*5/3*5= 10/154/15= 4*1/15*1= 4/15

Now the numerators are different but denominators are the same.

We can easily arrange these in ascending order.

1/5 < 4/15 < 2/3

Please help!!
How many degrees is angle 7?

Answers

42 degrees because the angle labeled 42 degrees and angle 7 are corresponding angles.

200 people were asked if they like any of running, cycling or swimming.
Of these people,
8 like running, swimming and cycling
16 like running and swimming but not cycling
33 do not like any of these activities
28 like cycling and swimming
all 40 people who like cycling like at least one other activity
124 like running
One of the people asked is chosen at random.
Given that this person likes swimming, find the probability that this person likes cycling.

Answers

Answer:

34% or 34 out of 100

Step-by-step explanation:

Add. (2x4 x3−4x2 3) (4x4−2x3−x2 10x 2) Express the answer in standard form. Enter your answer in the box.

Answers

The addition of the polynomials [tex]\rm (2x^4 +x^3-4x^2 +3)[/tex] and [tex]\rm (4x^4-2x^3-x^2 +10x +2)[/tex] is [tex]\rm 6x^4 -x^3-5x^2 +10x +5\\[/tex].

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomials are shown below.

[tex]\rm (2x^4 +x^3-4x^2 +3)\ and \ (4x^4-2x^3-x^2 +10x +2)[/tex].

We have to find the addition of the polynomials.

On adding the polynomials, we have

[tex]\rm (2x^4 +x^3-4x^2 +3) + (4x^4-2x^3-x^2 +10x +2)\\\\2x^4 +x^3-4x^2 +3 + 4x^4-2x^3-x^2 +10x +2\\\\6x^4 -x^3-5x^2 +10x +5\\[/tex]

Thus, the addition of the polynomials is [tex]\rm 6x^4 -x^3-5x^2 +10x +5\\[/tex].

More about the polynomials link is given below.

https://brainly.com/question/17822016

3


math



pls help geniuses!!
——————-
-

Answers

Answer:

C

= (-1.75,9)

Step-by-step explanation:

what is area for square

Answers

Answer:

Step-by-step explanation:

......................

[tex]\text{Area}=\text{side}\times\text{side}=\text{side}^2[/tex]

hi pls help me tysm :)​

Answers

Answer:

80.78°

Step-by-step explanation:

When the 30 cm long string will be bent in the form of a sector it's two sides will be radii of the sector and lower part be the arc. Length of the arc can be found as given below.

Length of the string = 30 cm

radius of sector (r)= 8.8 cm

Length of the arc (l) = 30 - 2*8.8 = 30 - 17.6 = 12.4 cm

Let the sector makes [tex]\theta[/tex] angle at the centre of the circle.

Formula for length of arc of a sector is given as:

[tex]\huge \red{l=\frac{\theta}{360\degree}\times 2\pi r}[/tex]

Plugging the values of l and r in the above formula, we find:

[tex]12.4 = \frac{ \theta}{360 \degree} \times 2(3.14)(8.8) \\ \\\implies12.4 = \frac{ \theta}{360 \degree} \times 55.264 \\ \\ \implies \: \theta = \frac{12.4 \times 360 \degree}{55.264} \\ \\ \implies \: \theta =80.775 \degree \\ \\ \implies \: \theta \approx \: 80.78 \degree[/tex]

Q6: Find the first 3 terms of the sequence: a1 = 12, an = 3an-1 – 21
,n>2

Answers

Answer:

See below

Step-by-step explanation:

1. 12

2. 15   [3*12-21 = 15]

3. 24  [3*15-21 = 24]

4. 51   [3*24 - 21 = 51]

Pls answer AS SOON AS POSSIBLE.....PLS PLS PLS

Step by step explanation needed

Answers

Answer:

Pi×7^2=49pi

Area of square 56+140=196

Shaded area is 196-49pi=42.1cm^2

calculate the lenght, in cm, the lenght of BD

help pleasee, its due in 10 mins ​

Answers

Answer:

4cm

Step-by-step explanation:

height² = hypotenuse²- base ²

h²= 5²-3²

= 25-9

=16

h= √16

h=4cm

Does anyone know this problem!! I need help asap!! #help

Answers

Answer:

2 miles

Step-by-step explanation:

O.5 + 0.5 + 0.5 + 0.5 = 2

Easy! :)

Answer:

I think you suppose to take 0.5 x 4 because it 4 days, so the answer might be 2 miles.

Whats 2+2?
I need alot of help its hard

Answers

Answer

well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21

Step-by-step explanation:

actual answer is 4 if you were serious about this

Answer: 4

Step-by-step explanation:

Use your hands:

2 on one hand

2 on the other hand

Put them together which is 4

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