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Stolb23 [73]
4 years ago
15

How to cube a fraction? Please help, thank you.

Mathematics
1 answer:
riadik2000 [5.3K]4 years ago
5 0

Answer:

See below.

Step-by-step explanation:

An example will illustrate the method:

(2/3)^3  

=  2^3 / 3^3

= 8/27.

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Find the values of the variables.
icang [17]

Answer:

x=8

z=132

Step-by-step explanation:

We know that 6x and 4x+16 are vertical angles, so they are equal

6x= 4x+16

Subtract 4x from each side

6x-4x = 4x-4x+16

2x =16

Divide each side by 2

2x/2 =16/2

x =8

We also know that 6x and x form a straight line

6x+z = 180

6(8) + z =180

48+z =180

Subtract 48 from each side

48-48 +z =180-48

z = 132

7 0
3 years ago
i need help asap please!! Explain how you can solve a system of linear equations by using multiplication and elimination.
AlekseyPX

Answer:

Step-by-step explanation:

You can use this by multiplying what needs to be multiplied and eliminate what isn't needed.

3 0
3 years ago
Find the zeros of f(x)=(x-3)^2-49, algebraically.
Phantasy [73]

Answer:

-4 and 10

Step-by-step explanation:

let me know if this is incorrect

4 0
3 years ago
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (assume that
Lilit [14]
Your sequence
  -8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
  (16/3)/(-8) = (-32/9)/(16/3) = -2/3

The general term an of a geometric sequence with first term a1 and ratio r is given by
  an = a1·r^(n-1)
For your sequence, this is
  an = -8·(-2/3)^(n-1)
6 0
4 years ago
A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What was the change in the turtles
Lana71 [14]
Alrite, so their change is just their difference, namely 32 1/4 - 20 5/6.

let's change those to "improper" fractions first.

\bf 20\frac{5}{6}\implies \cfrac{20\cdot 6+5}{6}\implies \cfrac{125}{6}
\\\\\\
32\frac{1}{4}\implies \cfrac{32\cdot 4+1}{4}\implies \cfrac{129}{4}\impliedby \textit{let's use an LCD of \underline{12}}\\\\
-------------------------------\\\\

\bf \cfrac{129}{4}-\cfrac{125}{6}\implies \cfrac{(3\cdot 129)+(2\cdot 125)}{12}\implies \cfrac{387-250}{12}\implies \cfrac{137}{12}
\\\\\\
\textit{hmmm 12 goes into 137, 11 times, thus}\quad \boxed{11\frac{5}{12}}
\\\\\\
\textit{because}\qquad \cfrac{11\cdot 12+5}{12}\implies \cfrac{132+5}{12}\implies \cfrac{137}{12}
3 0
3 years ago
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