Answer:
See explanation
Step-by-step explanation:
Powers of 10 is a very useful way of writing down large or small numbers.
Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.
When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,
![0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...](https://tex.z-dn.net/?f=0.36%3D3.6%5Ccdot%2010%5E%7B-1%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20one%20place%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.036%3D3.6%5Ctimes%2010%5E%7B-2%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20two%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.0036%3D3.6%5Ctimes%2010%5E%7B-3%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20three%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C...)
When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then
- if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example,
because powers are the same (-6) and 
- if the powers are different, then the smaller is power, the smaller is number (number with the smaller negative power has more places after decimal point). For example,
because 
these inequalities can be solved just like equations
a. x - 7 > 25
+ 7 +7 x > 32the number line would have a filled in circle at 32 with an arrow pointing to the rightb. x - 8 < 5+8 +8x < 13 the number line would have an empty circle at 13 with an arrow pointing to the leftc.x + 11 > 23 - 11 - 11x > 12the number line would have an empty circle at 12 with an arrow pointing to the rightd. x + 12 < 6 - 12 - 12 x < -6the number line would have a filled in circle at -6 with an arrow pointing to the lefta. 21 < x + 18 -18 -18 3 < xx > 3b. 16 < x - 7 + 7 + 7 23 < x x > 23c. 12 > x - 7 + 7 + 7 19 > x x < 19d. 29 < x + 53 - 53 - 53 -24 < x x > -24e. 15 > x + 19 -19 -19 -4 > x x < -4f. 35 > x - 8 +8 +8 43 > x x < 43g. -6 < x - 18 +18 +18 12 < x x > 12h. -15 < x - 2 + 2 +2 -13 < x x > -13
Use the distributive property to get 8x+28+6x+21 then combine 8x and 6x and also combine 28 and 21 to get 14x+49, do u need to go further or?
Answer: 1/4 chance of picking red
Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4
Hope this helps!
Answer:
0.471
Step-by-step explanation:
The mnemoic SOH CAH TOA reminds you that ...
... Sin = Opposite/Hypotenuse
... sin(S) = 32/68 ≈ 0.471
