Okay -
So, the goal when we have an equation is to find the value of the variable. So, let's isolate that variable on <em>one </em>side of the equation!
<em>* original equation </em>
<em>5x + 4 = 49.
</em><em>* subtract four from both sides. if you do something on one side of the equation, you have to do it on the other.
</em><em>5x + 4 - 4 = 49 - 4.
* now we are going to divide 5 on both sides to isolate x.
5x/5 = 45/5.
* and our answer is...
x = 9. =)
</em>
Answer: x = 4
Step-by-step explanation:
You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.

We can see here that doing sine will give us the length of the opposite
. Do sine of 19.47, then multiply by 12. I got 4
Answer:
Domain is all positive real numbers. Range is all real positive numbers.
Step-by-step explanation:
When dealing with real life, negative and imaginary numbers are not a possible answer.
Answer: 1/17
Step-by-step explanation:
First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.
If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.
We then multiply both together. This will be:
= 13/52 × 12/51
= 1/4 × 4/17
= 1/17
Answer:
She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.