1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
matrenka [14]
3 years ago
13

the cat is a high speed catamaran auto ferry that operates between City A and City B. The cat can make the trip in 1 1/2 hours a

t a speed of 51 mph. About how far apart are the City A and City B?
Mathematics
1 answer:
malfutka [58]3 years ago
3 0
City A and City B are about 76.5 miles apart because 51*1.5 = 76.5
You might be interested in
How many integers in the set {n ∈ Z | 1 ≤ n ≤ 700} are divisible by 2 or 7?
sukhopar [10]
\large\begin{array}{l}\\\\ \textsf{This question gives us a set}\\\\ \mathsf{S=\{n \in\mathbb{Z}:~1\le n\le 700\}}\\\\ \mathsf{S=\{1,\,2,\,3,\,\ldots,\,699,\,700\}}\\\\\\ \bullet~~\textsf{Set of integers that are divible by 2 (even integers):}\\\\ \mathsf{A=\{n\in \mathbb{Z}:~n=2k,\,k\in\mathbb{Z}\}}\\\\ \mathsf{A=\{\ldots,\,-4,\,-2,\,0,\,2,\,4,\,\ldots\}}\\\\\\ \bullet~~\textsf{Set of integers that are divible by 7:}\\\\ \mathsf{B=\{n\in \mathbb{Z}:~n=7k,\,k\in\mathbb{Z}\}}\\\\ \mathsf{A=\{\ldots,\,-14,\,-7,\,0,\,7,\,14,\,\ldots\}} \end{array}

___________


\large\begin{array}{l}\\\\ \textsf{We want to know how many elements there are in the}\\\textsf{following set:}\\\\ \mathsf{S\cap (A\cup B)=(S\cap A)\cup(S\cap B)\qquad(i)} \end{array}

____________

\large\begin{array}{l}\\\\ \bullet~~\mathsf{S\cap A=\{n\in\mathbb{N}:~n=2k~~and~~1\le n\le 700,\,k\in\mathbb{Z}\}}\\\\ \mathsf{S\cap A=\{2,\,4,\,6,\,\ldots,\,698,\,700\}}\\\\ \mathsf{S\cap A=\{1\cdot 2,\,2\cdot 2,\,3\cdot 2,\,\ldots,\,349\cdot 2,\,350\cdot 2\}}\\\\\\ \textsf{So, there are 350 elements in }\mathsf{S\cap A:}\\\\ \mathsf{\#(S\cap A)=350.} \\\\\\ \bullet~~\mathsf{S\cap B=\{n\in\mathbb{N}:~n=7k~~and~~1\le n\le 700,\,k\in\mathbb{Z}\}}\\\\ \mathsf{S\cap B=\{7,\,14,\,21,\,\ldots,\,693,\,700\}}\\\\ \mathsf{S\cap B=\{1\cdot 7,\,2\cdot 7,\,3\cdot 7,\,\ldots,\,99\cdot 7,\,100\cdot 7\}} \\\\\\ \textsf{So, there are 100 elements in }\mathsf{S\cap B:}\\\\ \mathsf{\#(S\cap B)=100.} \end{array}

____________


\large\begin{array}{l}\\\\ \textsf{Therefore,}\\\\ \mathsf{\#\big[S\cap (A\cup B)\big]}\\\\ =\mathsf{\#\big[(S\cap A)\cup(S\cap B)\big]}\\\\ =\mathsf{\#(S\cap A)+\#(S\cap B)-\#\big[(S\cap A)\cap(S\cap B)\big]}\\\\ =\mathsf{350+100-50}\\\\ =\mathsf{450-50}\\\\ =\mathsf{400~elements.}\\\\\\ \textsf{There are 400 integers in S that are divisible by 2 or 7.} \end{array}


If you're having problems understanding the answer, try to see it through your browser: brainly.com/question/2105863


\large\begin{array}{l}\\\\ \textsf{Any doubts? Please, comment below.}\\\\\\ \textsf{Best wishes! :-)} \end{array}


Tags: <em>set theory divibilility divisible integers union intersection</em>

3 0
3 years ago
3 square root 4 • square root 3
Anton [14]

Answer:

6 square root 3

Step-by-step explanation:

3 square root 4 .square root 3= 6 square root 3

8 0
2 years ago
What is k+3 3/4 = 5 2/3 - 1 1/3
zhenek [66]
K+3 3/4=5 2/3-1 1/3
k+3 3/4=4 1/3
lets find the lcm first then multiply both sides by it but first change it to improper fraction
LCM is  12

[k+15/4]=[13/3]12
12k+45=52
12k=7
k=7/12
4 0
3 years ago
Please help,I need it for tomorrow​
Inga [223]

Answer:

<C=26

<B=48

<D=106

<F=42

Step-by-step explanation:

I labeled all the angles to help this make more sense :)

So first we find <C, which is supplementary to <E so just do 180-154=26

Next, we know that <F and <B are equal because they form corresponding angles.

Angles <C <D and <B form a triangle. The three angles of a triangle always equal 180. Now that we know angles <C and <B, we just do 180-26-48=106.

Lastly, to find angle A, we just take 180-106-48=42.

Hope this helps

7 0
2 years ago
Simplify <br> 14z+12y3+10y3+7y3
Alona [7]

Answer:

14z+29y^3

Step-by-step explanation:

14z+12y^3+10y^3+7y^3

Combine like terms

14z+29y^3

4 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify each expression <br> 7x +5(x +3) +4x -x -2
    13·2 answers
  • I'm still stuck on this one
    6·1 answer
  • 17.2 + 6.08+0+0+0+0+0+0+0+0=
    6·2 answers
  • REALLY NEED HELP WITH THIS!! PLEASE
    12·1 answer
  • suppose the university bursar said that 600 student entered for business mathematics 300 entered for statistics while 173 studen
    12·1 answer
  • Simplify 8/12 completely.<br> 6/10<br> O 4/8<br> 2/3<br> O 4/6
    9·2 answers
  • Write a numerical expression that satisfies all of the following conditions. • The only number used in the expression is 3. At l
    13·1 answer
  • The table shows the number of sodas left in the vending machine after each hour.
    8·1 answer
  • It for some reason won’t let me put the whole page
    14·2 answers
  • Xét sự đồng biến nghịch biến của hàm số sau<br> y=x^3-3x /(-∞;-1)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!