The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.​

Answer:

the answer is 2

Step-by-step explanation:

i converted the problem

6x+1=3y+7 = 6y+3y=6

Then i noticed that 3 and 2 can only make 6

So, m=2

Answer:

6.02% or just 6%

Step-by-step explanation:

Answer:

1 < x < 5

Step-by-step explanation:

Inequalities of the type | x | < a , have solution of the form

- a < x < a

Given

2 | x - 3 | < 4 ( divide both sides by 2 )

| x - 3 | < 2 , then

- 2 < x - 3 < 2 ( add 3 to each interval )

1 < x < 5

Answer:

he would walk 1 mile in 2 hours

Step-by-step explanation:

which is very slow tbh

Step-by-step explanation:

If Marian travels, by car, on the highway. At 10 and 35 minutes he is at kilometer 25. After a period of time, at 11 and 15 minutes, he is at kilometer 100.  

Total distance covered = 25km + 100km

Total distance covered by Marian = 125km

Total time taken by marian = 10hr 35min + 11hr + 15min

Total time taken by marian = (10+11)hr + (35+15)min

Total time taken by marian = 21hr 50mins

Total time taken by marian  = 21 * 50/60 hr

Total time taken by marian (Duration) = 21.833hr

Average speed = Total distance covered/Total time taken

Average speed = 125/21.833

Average speed = 5.725km/hr

Convert to m/s

5.725km/hr = 5.725*1000/3600

5.725km/hr = 5725/3600

5.725km/hr = 1.5903 m/s

Hence the average speed expressed in SI unit is 1.5903 m/s

Answer:

81.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

Step-by-step explanation:

because that’s what 89-8 with a decimal is

Answer:

81.00

Step-by-step explanation:

89.00

-08.00

81.00

Answer:

Let the number be x

Given:  

11 + 5x = 20 + 2x

5x - 2x = 20 - 11

3x = 9

x = 3

The number is 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Let x represent the number, and set up an equation:

5x + 11 = 2x + 20

Solve for x:

5x + 11 = 2x + 20

3x + 11 = 20

3x = 9

x = 3

So, the number is 3.

Answer:

X-coordinate in the ordered pair (25,30)

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

3/4 is the answer

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

6600 x 10% = 60&$;#;,$:#&#>$

Answer:25

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

i am not sure

Step-by-step explanation:

i am not sure

Answer:

The final sales tax price is $6.30.

Step-by-step explanation:

We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.

$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.

70 x 1.09 = 76.3

Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)

76.3 - 70 = $6.30

Therefore, the final price of the sales tax is $6.30.

Hope this helps! :)

Answer:

3x-4/14=9/10

You change the subtraction to addition

3x+4/14=9/10

Then you change the fractions to decimals

Step-by-step explanation:

Answer:

uhh

Step-by-step explanation:

Answer:

w = 10

l = 50

Step-by-step explanation:

Formula of Perimeter: w + w + l + l or 2w + 2l

l = 5w

2l + 2w = 120

2(5w) + 2w = 120

10w + 2w = 120

12w = 120

w = 10

l = 5(10)

l = 50

Check:

2l + 2w = 120

2(50) + 2(10) = 120

100 + 20 = 120

120 = 120

Hope This Helps!

Lets denote our variables as:

The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:

2(x) + 2(5x) = 120

2x + 10x = 120

12x = 120

 x = 120/12

 x = 10 m → Width of the rectangle

Substituting in the length:

5x = 5(10) = 50 m → Length of the rectangle

Answer:

x = 32.6666667

Step-by-step explanation:

12(x - 2) + 3x = 12(x + 6) + 2

Distribute;

12x - 24 + 3x = 12x + 72 + 2

Collect like terms;

15x - 24 = 12x + 74

Subtract 12x from both sides;

3x - 24 = 74

Add 24 to both sides;

3x = 98

Divide both sides by 3;

x = 32.6666667

Answer:

Slope is -2.

Step-by-step explanation:

Slope m = [tex]\frac{-1 - 7}{3 - -1}=\frac{-8}{4}=-2[/tex]

Answer:B vertical

Step-by-step explanation:

Given:

The value is [tex]\log_7t[/tex].

To find:

The value as a base 2 logarithm.

Solution:

We know that,

[tex]\log_xy=\dfrac{\log_ay}{\log_ax}[/tex]

where, a is any positive value.

We have,

[tex]\log_7t[/tex]

Using the above property of logarithm, we get

[tex]\log_7t=\dfrac{\log_at}{\log_a7}[/tex]

For a=2,

[tex]\log_7t=\dfrac{\log_2t}{\log_27}[/tex]

Therefore, the given value as a base 2 logarithm can be written as [tex]\dfrac{\log_2t}{\log_27}[/tex].

Answer:

log2t/log2^7

Step-by-step explanation:

(what the other dude said)

Answer:

9.42

Step-by-step explanation:

It is 9.42 because if you multiply the radius by 2 to get diameter you multiply the diameter by 3.14 to get your final answer which is 9.42   :)

Answer:

b

Step-by-step explanation:

Answer:

we have added 9/4 to both sides of the equation.

Step-by-step explanation:

The given equation is :

[tex]x^2+3x=6[/tex]

Here, a = 1, b = 3 and c = 6

We should add (b/2)^2 to the both sides of the equation.

(b/2)^2 = (3/2)^2 = (9/4)

[tex]x^2+3x+\dfrac{9}{4}=6+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{33}{4}\\\\x+\dfrac{3}{2}=\pm \dfrac{\sqrt{33}}{2}\\\\x= +\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}, -\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}\\\\=1.37,-4.37[/tex]

Hence, we have added 9/4 to both sides of the equation.

Answer: division property

Step-by-step explanation:

i think hope this helps :)

Answer:

y = 3x  + b

3x is the slope

y = 3x + 1 because 1 is the y intercept

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

You know the  y intercept by looking where the line hits the y axis, which is at (0,1), so you know the "b" of the equation is 1. Then, you do rise over run. If you rise 3 and run 1, you get to another point, so I know the slope is 3/1 or 3.