Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).

To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.

0.082 = 8.2× 10^-2

This gives the required answer.

Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).

3 0

3 years ago

5s-(100+2s =4s-2(10+s) how much boxes would they need to sell to get a equal amount each group must sell to have equal profits.

antoniya [11.8K]

5s-100-2s=4s-20-2s
3s-100. = 2s-20
+20. +20
3s-80. = 2s
-3s. -3s
-80. = -1s
-1 -1
80. = s

s=80

6 0

3 years ago

If rx – st = r, which expression represents r.

statuscvo [17]

Answer:

${ \tt{rx - st = r}}$

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

${ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}$

» On the left hand side, factorise out r

${ \tt{ \green{r(x - 1)} = st}} \\ \\ { \boxed{ \tt{ \blue{ \: r = \frac{st}{x - 1} }}}}$

5 0

2 years ago