5 pencils cost £4.25.
How much do 9 pencils cost?

Answer:

9. 5×5×5= 125

10.2×2×2×2=16

11. 8×8= 64

12. 4×4×4×4=256

13. 6×6×6= 216

14. 1×1×1×1×1×1= 1

Given:

The expression is

[tex]81x^4-1[/tex]

To find:

The factorized form of given expression.

Solution:

We have,

[tex]81x^4-1[/tex]

It can be rewritten as

[tex]=3^4x^4-1^2[/tex]

[tex]=(3x)^4-1^2[/tex]              [tex][\because a^xb^x=(ab)^x][/tex]

[tex]=((3x)^2-1)((3x)^2+1)[/tex]              [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]=(3x+1)(3x-1)(3x+1)(3x-1)[/tex]              [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

This is the complete factorized form. It can also written as

[tex]=(3x+1)^2(3x-1)^2[/tex]

Therefore, the complete factorized form is [tex](3x+1)(3x-1)(3x+1)(3x-1)[/tex].

Answer:

[tex]\frac{ds}{dt} =31.952[/tex]

Step-by-step explanation:

From the question we are told that

Cube increase rate 459 cubic inches

At 408

Generally the expressions of the is mathematically given to be

[tex]\frac{dv}{dt} =459[/tex]

[tex]\frac{dv}{dt} =3*l^2 \frac{dl}{dt}[/tex]

[tex]v=408[/tex]

Generally

[tex]v=l^3[/tex]

Therefore solving Mathematically

[tex]\frac{dv}{dt} =3*l^2 \frac{dl}{dt}[/tex]

[tex]459 =3*(7.416859539)^2 \frac{dl}{dt}[/tex]

[tex]459 =165.0294163\frac{dl}{dt}[/tex]

[tex]\frac{dl}{dt} =\frac{165.0294163}{459}[/tex]

[tex]\frac{dl}{dt} =0.359[/tex]

Therefore solving mathematically for surface area

[tex]Surface area S=6l^2[/tex]

[tex]\frac{ds}{dt} =6(2l* \frac{dl}{dt})[/tex]

[tex]\frac{ds}{dt} =12l* \frac{dl}{dt}[/tex]

[tex]\frac{ds}{dt} =12*(7.416859539)*0.359[/tex]

[tex]\frac{ds}{dt} =31.95183089[/tex]

[tex]\frac{ds}{dt} =31.952[/tex]

Answer:

1.80

Step-by-step explanation:

1.30x7=9.10

1270-910=360

2kg of apples - 3.60

360/2=180

Answer:

4

Step-by-step explanation:

4 is the base of the equation and then as it goes on, you add 2* the point in the sequence -1

Answer:

24

Step-by-step explanation:

x = 8, y = 3, z = 2

(1/4) x {8[2(3)+3(2)]}

(1/4) x {8(6 + 6)}

(1/4) x {48 + 48} (by distributing)

1/4 x 96

= 24

Answer:

Step-by-step explanation:

-4(n+3) <36;n<7

Answer:

yep 22

Step-by-step explanation:

Answer:

16.7 percent

So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.

Answer:

x              y

0             2

2             6

4             10

6             14

I'll use the second one as the example.

First I found the x value because it was the value gaven to me, then I found the y value that lined up with it. Since the x value was 2, I had to go to the 2 on the x axis and went up until I got to the line, then I went horizontal until I hit the y axis and that's how I got 6 for the y value.

I hope this helped!!

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

0.3

Step-by-step explanation:

Brainliest?

We want to rewrite the given expression as a square of a monomial. We will get:

0.09*a^2 = (0.3*a)^2

So we have the expression:

0.09*a^2

We want to write this as a square of a monomial like:

(c*a)^2 = 0.09*a^2

Basically, we must find a number c such that:

c^2 = 0.09

c = √(0.09) = 0.3

Then the monomial is:

0.3*a

And we can rewrite the given expression as:

(0.3*a)^2

If you want to learn more, you can read:

https://brainly.com/question/11363511

Answer:P(milk) 5/18 - 27% ----------- P(not milk) 13/18- 73%

Step-by-step explanation:

total chocolates in the bag= 18   (5 milk chocolates + 13 dark chocolates= 18 chocolates in total)

to find percentages divide numerator by denominator ( 5/18 = 27%) (13/18=73%)

P(milk) - 27% chance you will get milk chocolate

P(not milk) 73% chance you will get dark chocolate

It is more likey to get dark chocolate

Answer: D

Step-by-step explanation:

40+40= 1 hour 20 min

40+40= 1 hour 20 min

40+40 = 1 hour 20 min

40————-> 40 min

Add all together you get 4 hours in one week

Your welcome !

Answer:

I think 30

Step-by-step explanation:

Answer:

6:6=x

7:16=y

8:20=z

Step-by-step explanation:

For 6, since BD is a perpendicuar bisector, that means 15x=90. Divide 90 by 15 and you get 6

for 7, if bd is a angle bisector, you can set 3y=48. divide 48 by 3 and you get 16

for 8, since Bd is a median, you can set 2z-3=z+17. Isolate the variable and you will get 2z-z=17+3. Add like terms together and you get z=20

Just so you know, a perpendicular bisector will make both angles equal to 90, an angle bisector make both angles equal to each other, and medians make it so that it hit a line in the center therefor you can set both sides of the line to be equal

Answer:

w = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

8 = 4w + 53 + 5w

Step 2: Solve for w

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Here we see that 8 does indeed equal 8.

∴ w = -5 is the solution to the equation.

Answer:

What are the equations?

Answer:

20

Step-by-step explanation:

5[8(7−4)÷6]

5[8(3)/6]

5{24/6]

5[4]

20

Answer:

20 is the right answer.

Step-by-step explanation:

→5[8(7-4)÷6]

=5[8(3)÷6]

=5[24÷6]

=5[4]

=20

Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.

Final Result: 7/30

Answer:

90 + 72 -> 162

Step-by-step explanation:

15 times 6 equals 90 and 12 times 6 equals 72, the distributive property equation is 90 + 72 in which can be added to 162 as a result.

Hey there!

The formula is: a(b + c) = a(b) + a(c) = ab + ac

“6(15 + 12)”

6(15 + 12)

6(15) + 6(12)

6(15) = 90

6(12) = 72

NEW EQUATION: 90 + 72

ANSWER: 90 + 72 = 162 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

96 in

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

Answer:

1 2/3 : 4 3/8 = 8/ 21   ≅ 0.3809524

Step-by-step explanation:

Have A Wonderful Day !!

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}[/tex]

Two points are given to us and we need to find the slope of the line . The slope of the line passing through points [tex]\bf (x_1,y_1 ) \ \& \ (x_2,y_2) [/tex] is given by ,

[tex]\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]

Here , the points are ,

[tex]\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}[/tex]

Answer:

First one proportion. Next it is direct variation. Lastly it is proportion.

Step-by-step explanation:

Answer: 36/200 = 18/100 = 18%

Step-by-step explanation: