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3 years ago

PLZ HELP ASAP, ASSIGNMENT DUE TMR, Tysm if u do

Mathematics

2 answers:

xxMikexx [17]3 years ago

4 0

John's cube is 27 times the volume of Paula's cube due to the square cube law. Hope this helps.

Scrat [10]3 years ago

3 0

The answer is 27x.

The formula for volume of a cube is x^3, where the length of the edge is represented as x. If we set x = 1 for John’s cube, then Paula’s cube would be 3.

Computing for the respective volumes, it would then be:

John: 1^3 = 1 cubic unit
Paula: 3^3 = 27 cubic units

You might be interested in

Eight times the sum of 5 and a number is less than 56.

Gwar [14]

8• (5+x) < 56
That is the equation

4 0

3 years ago

FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM

algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ] , thus

$S_{20}$ = $\frac{20}{2}$ [ (2 × - 1) + (19 × 4) ]

= 10(- 2 + 76) = 10 × 74 = 740

8 0

3 years ago

You want to go to the skate park, and you have two options:

Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

Define the variables

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

Work to solve

For Sami's skate

$c = 6$ and $m = 2$

For Brad's skate

$c =10$ and $m = 1$

The equations

The equation is derived using: $y = mx + c$

For Sami's skate

$y = 2x + 6$

For Brad's skate

$y = x + 10$

When the cost are the same

To do this, we equate both expressions

i.e.

$y = y$

$2x + 6 = x + 10$

$2x -x = 10 - 6$

$x = 4$

i.e. the cost are the same at the 4th hour

What is the cost

Substitute 4 for x in any of the equations

$y = x + 10$

$y = 4 + 10$

$y = 14$

The cost is $14.00

3 0

2 years ago

Help me with this pls

Akimi4 [234]

Answer:

is that math????????????????

3 0

2 years ago

Can any one please help me in this the teacher did not explain this it have to be in the lowest term also no decimal answer than

Zinaida [17]

Answer:

Step-by-step explanation:

$A . -5+3x =-41\\3x=-41+5\\3x = -36\\\frac{3x}{3} =\frac{-36}{3} \\x = -12\\\\\\\\\\B. 7x-4=-2x+11\\Collect-like-terms\\7x+2x=11+4\\9x=15\\\frac{9x}{9} =\frac{15}{9} \\\\x = \frac{5}{3} \\\\C. \frac{-4x}{5} =8\\Cross-multiply\\-4x=40\\\frac{-4x}{4} =\frac{40}{-4} \\x = -10\\\\D. \frac{x}{3} -\frac{1}{2} =\frac{1}{4} \\\frac{x}{3} =1/4+1/2\\\frac{x}{3} = \frac{3}{4} \\Cross-multiply\\4x =9\\4x/4 =9/4\\x = 9/4\\$

$E . -4(6x+1)+3 =11+2(x+2)\\-24x-4+3=11+2x+4\\Collect-like-terms\\-24x-2x=11+4+4-3\\-26x =16\\\frac{-26x}{-26} =\frac{16}{-26}\\ x = -\frac{8}{13}$

7 0

3 years ago