There's bound to be a public restroom

There's bound/certain/sure to be somewhere to eat.

bound

 adjective/baʊnd/baʊnd/SEE ALSO bind [not before noun]Idiomsbound to do/be something certain or likely to happen, or to do or be something 確かに...するはずである

There's bound to be an ice cream stand.

There're certain to be some tourist spot.

There's sure to be a public road leading to the mountain.

a road leading to..   ...に向かう道

Do you think there'll be a popular ramen shop?

Be likely/supposed/expected/predicted to...

With the opening of the Tokyo Olympics only about two weeks away, the Japanese government is expected to declare a cronavirus sate of emergency for the fourth time.

opening　n)開くこと･開会

only about two weeks away 約2週間後に迫っている

TOKYO 2020 is only about two weeks away.

★  be expected to...    ...することが決まっている

ポジティブな結果を「期待する」　ネガティブな結果を「見込む・予測されている」

It's expected to be clear up/sunny tomorrow.   clear up （雨が止んで）晴れる

The unemployment rate is expected to raise.  失業率が上昇すると見込まれる

expect　原義は外を見る⇒期待する、するつもりである

declare v)宣言する

★  be predicted to...　（根拠があって）予想される⇒テスト結果や経済動向･公的情報

The unemployment rate is predicted to raise. 

★  be supposed to...　（規則や約束から）...することになっている、当然...するべき

A bento box is supposed to provide all the nutrition we need.

She was supposed to take medicine before the meal.

Today is/was supposed to have been sunny, but it's raining.

Government is supposed to protect us, right?

I thought it's supposed to...... , isn't it? 　認識にズレを感じた時の確認  

nutrition

 noun/njuˈtrɪʃn/nuˈtrɪʃn/[uncountable]food that is needed to grow and be healthy/SYNONYM nourishment

nutrition　栄養をとること

nourishment  栄養のある食べ物

suppose　ｻ ポｳｽﾞ v)...と思う

Asian people including Japanese are supposed to be good at math. But I 'm not. 

English is supposed to be life-changing.

New years day or Christmas is supposed to be spent with family.

★  is likely to...            （客観的に考えて）...しそう

It's likely to rain tomorrow.

The unemployment rate is likely to raise. 

It's not possible to

It's not possible to participate in events as we want to, much less/let alone traveling.

It's not possible to go to restaurants after work, let alone watch Olympics in person. 

I wonder...

I want to talk to you.直接的な表現
I wanted to talk to you.少しだけ話したかったんだよと謙虚さが表現される？
I wonder I want to talk to you.（I wonderを使用して大人の表現）
I'm wandering I want to talk to you.（進行形で今,継続が付加された大人の表現？）
I was wandering I want to talk to you.丁寧（過去形で丁寧さが表現される大人の表現）


※類似参考例
I hope you will help me.
I'm hoping you will help me.
I hoped you would help me.
I was hoping you would help me.


I wonder if...
1.お願い
I was wondering if you could help me.
I was wondering if you could show me how. やり方を見せてもらえるかなと思って。
I was wondering if you liked sushi. 寿司は好きかなと思って。（過去形likedを使うと丁寧）
I'm wondering if it's good for you, healthier than regular sugar.
I started wondering about the feelings of those people who choose to emigrate from this ageing Japan. 　this age:この時代
2.悩んでいる、疑問に思っている
I wonder if I remembered to look the door.
I wonder if it'll be sunny tomorrow.

I wonder how...

I wonder how he's doing.