Both are perfectly grammatically correct.
I am speaking / talking on the phone. Please keep quiet for a while.
Also, to me, it sounds more natural to say "I am speaking with someone on the phone", rather than simply just "I am speaking on the phone". But perhaps that is just my personal preference.
A schedule is rather more than just fixing a date. It's more appropriate for a series of events, such as a conference with registration, talks, meals etc.
If you are choosing a date for some event, that's not a schedule, its just, well, a date.
Let's fix a date for the party.
Although more idiomatic (for me) would be
Let's set a date for the party.
They both basically mean the same thing.
She refuses to acknowledge the fact that her son was smoking.
She closed her eyes to the fact that her son was smoking
She shut her eyes to the fact that her son was smoking.
The first one uses visual imagery to indicate that when she sees her son smoking, she shuts her eyes, preventing her from seeing it, ...
The phrase "to close/shut one's eyes" is not often used figuratively or metaphorically. It most often means to literally close one's eyes. The expression "to turn a blind eye to (something)" is inherently figurative. So in this situation you should use the 2nd version:
She turned a blind eye to the fact that her son was smoking.
"Who are you to [do something]?" is common in English, and is used to mean "what right do you have to [do something]?", in a situation where the speaker thinks that the listener does not have any such right. "Who are you to tell me what to wear? You're not my parent!" "Who are you to call me a drunkard? You like a drop yourself; everybody knows that!".
Often, sentences can start with "(and) to think", usually used to underscore or emphasize the following statement or observation. Aside from that, "to think" can start sentences, in particular when functioning as the infinitive form of the verb. As an example, "To think is to stretch the brain", an expression that I just made up (but I'm sure there are a ...
Imagine that brambles have grown from the sides of the path so that they partly cover the path. The word back in this sentence means that the frontier, or border, of the brambles should recede as a result of plucking them, so the brambles no longer cover the path. Consequently, the speaker will be able to walk along the path without stepping on brambles.
"You're welcome" is a common response to "Thank you". I can't comment on the software you are using, but "you're welcome" doesn't have any sexual meaning that I am aware of.
It seems the software is fundamentally broken, and should not be used in a business context. I would recommend deleting it from all your systems urgently!
The sentence used by the narrator of the linked video used the phrase "then it's on to the remainder of your day."
In this usage, the phrase means: now that you are done with using the bathroom, you are now able to go on and do whatever else you need to do during the remaining time in the day.
The phrase 'on to' (in this usage) is a short way to say '...