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
Lady bird [3.3K]
3 years ago
10

A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the sh

ip traveled 3 miles per hour faster heading north, at what speed was the ship traveling east?
Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0
Just like the previous one

if the ship travelled a total of 149 miles, then let's say it travelled East "d" miles and thus it travelled North the slack of 149 and "d", thus " 149 - d".

now, if the rate travelling East is say "r", then the faster rate going North is " r + 3".

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
East&d&r&4\\
North&149-d&r+3&3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=4r\\
149-d=(r+3)3\\
----------\\
149-\boxed{4r}=3(r+3)
\end{cases}

solve for "r".
You might be interested in
Remember to show work and explain. Use the math font.
vichka [17]

Answer:

\large\boxed{1.\ f^{-1}(x)=\sqrt[12]{3^x}}\\\\\boxed{2.\ f^{-1}(x)=\sqrt[4]{3^x}}\\\\\ \boxed{3.\ f^{-1}(x)=\sqrt[3]{4^{7-x}}}

Step-by-step explanation:

(a^n)^m=a^{nm}\\\\\log_ab=c\iff a^c=b\\\\a^{\log_ax}=x\\\\n\log_ab=\log_ab^n\\\\\log_ab+\log_ac=\log_a(bc)\\============================\\\\1.\\y=3\log_3x^4\to y=\log_3(x^4)^3\to y=\log_3x^{12}

2.\\y=\log_3x^4\\\\\text{Exchange x and y. Solve for y:}\\\\\log_3y^4=x\Rightarrow3^{\log_3y^4}=3^x\Rightarrow y^{4}=3^x\\\\y=\sqrt[4]{3^x}\\-------------------------

3.\\y=-\log_4x^3+7\\\\\text{Exchange x and y. Solve for y:}\\\\-\log_4y^3+7=x\qquad\text{subtract 7 from both sides}\\\\-\log_4 y^3=x-7\qquad\text{change the signs}\\\\\log_4y^3=7-x\Rightarrow4^{\log_4y^3}=4^{7-x}\\\\y^3=4^{7-x}\Rightarrow y=\sqrt[3]{4^{7-x}}

7 0
2 years ago
Can somone help me with number 23 and 24
tangare [24]

23.

store price = 14 + 0.5(14)

store price = 21

customer price = 21 + 0.08(21)

customer price = 21 + 1.68

customer price = $22.68

24.

formula: A = P(1 + rt)

A = 140(1 + (0.03)(2))

A = 140(1.06)

A = 148.40

interest = 148.40 = 140

interest = $8.40

Hope this helps!! :)

7 0
3 years ago
Read 2 more answers
How do i find the volume of the last one? density= 2.7g/cm^3 mass= 0.85g
Liula [17]

You do mass divided by density

4 0
3 years ago
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3.
Studentka2010 [4]
Hello,

y+2=1/3*(x-1) ==>3y+6=x-1==>x-3y-7=0

Answer C
8 0
2 years ago
Read 2 more answers
Simplify the expression: 5(–4 + 3g)
MaRussiya [10]

Answer:

-20 + 15g

Step-by-step explanation:

5 multiplied by -4 is -20

5 multiplied by 3g is 15 g.

because these two variables do not both have a g with them, this is the most they can be simplified. hope this helps!

4 0
3 years ago
Read 2 more answers
Other questions:
  • F(n)=2n+4 g(n) = 4n - 2 Find f (g(2))
    5·1 answer
  • PLEASE ANSWER
    7·2 answers
  • A sold consiss of a hemisphere anda cone which share a common base.The cone has a base radius of 21cm and height of 28 cm and a
    13·1 answer
  • There are 33 students in the cafeteria, 15 girls and 18 boys. What is the ratio of girls to boys in the cafeteria?
    14·2 answers
  • The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.
    5·1 answer
  • A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour. A. What is the price per share afte
    14·1 answer
  • An airplane can travel 365mph in still air. If it travels 2716 miles with the wind in the same length of time it travels 2394 mi
    7·1 answer
  • A sphere has a diameter of 24 units. What is its volume in cubic units? A. 576π cubic units B. 1,728π cubic units C. 2,304π cubi
    6·2 answers
  • Problem Set<br> 100 yd. =
    6·1 answer
  • Which list contains values that are all part of the solution set of the graphed inequality? 2, 1, 3. 9, 4 2001. 3, 4, 0, 2. 6 1.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!