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Nookie1986 [14]
2 years ago
10

[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​

Mathematics
1 answer:
skad [1K]2 years ago
8 0

Answer:

Reduce the expression, if possible, by cancelling the common factors.[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​ = 1

Step-by-step explanation:

4/9^3 x (2/3)^2 ÷ (2/3)^8

4/9^3 x 4/9 ÷ (2/3)^8

4/9^3 x 4/9 divided by 256/6561

64/729 x 4/9 divided by 256/6561

= 1

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Juli2301 [7.4K]

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x= C-a/b

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4 0
3 years ago
7.5% of what number is equal to 85% of 200?
Ksivusya [100]
Solving:

\frac{7.5}{100} *x =  \frac{85}{100} * 200

\frac{7.5x}{\diagup\!\!\!\!\!\!\!\!100} = \frac{17000}{\diagup\!\!\!\!\!\!\!\!100}
7.5x = 17000
x =  \frac{17000}{7.5}
x = 2266.6666... \:\to \boxed{\boxed{x \approx 2266.67}}\end{array}}\qquad\quad\checkmark
8 0
3 years ago
Read 2 more answers
Martha purchased a car for $17,500. The value of a car decreases by 7% each year.
marishachu [46]

Answer:

9 years = .000000706$

Step-by-step explanation:

convert 7% to decimal 0 .07

17,500 x .07 = 1,225

1 year 1,225

2 year 85.75

3 year 6.0

4 year .42

5 year .029

6 year .002

7 year .000144

8 year .000010088

9 years = .000000706$

6 0
3 years ago
Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1
evablogger [386]

\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)

3 0
3 years ago
Alex wants to find out how many ducks there are in a park.
Fiesta28 [93]
An estimate for the number of ducks would be 62.

There were 30 the first day.
The second day, 8 of those 30 were there as well, so we subtract that from the 40 ducks and get 32.
Add 30 and 32 to get our estimate.
8 0
2 years ago
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