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
denis-greek [22]
1 year ago
15

a motorboat travels 456 km in 8 hours going upstream and 783 km in 9 hours going downstream. what is the rate of the boat in sti

ll water and what is the rate of current?
Mathematics
1 answer:
Galina-37 [17]1 year ago
4 0
\begin{gathered} \text{Let;s assume the sp}e\text{d of boat in still water is x.} \\ And\text{ the spe}ed\text{ of stream is y.} \\ For\text{ upstream,} \\ (x-y)\times8=456 \\ x-y=57\ldots(1)_{} \\ (x+y)\times9=783 \\ x+y=87 \\ x=87-y\ldots(2) \\ \text{Now, substitute the value of x in the equation (1).} \\ 87-y-y=57 \\ -2y=57-87 \\ 2y=30 \\ y=15\text{ km/hours (rate of current)} \\ \text{Substitute the value of y in the equation (2).} \\ x=87-15 \\ x=72\text{ km/hours (boat in still water)} \end{gathered}

You might be interested in
Can someone pls help me . Thank you .
Pavel [41]
Answer:
1). 24
2). 8

Explanation:
1).

285$ - 45$ = 240$
240$/10 = 24$

Therefore, he pays 24$ a month.

2).
Let x be the number than triple:

3x - 5 = 19
3x = 19 + 5
3x = 24
x = 24/3
x = 8
5 0
3 years ago
Write the contrapositive and the converse of the following conditional
Lunna [17]

The contrapositive statement are:

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The  converse statement are:

  • If the late is frozen, then it is cold.
  • If Solomon is happy, then he is healthy.
  • If Tigist Tigist  does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

Learn more about contrapositive statement  from

brainly.com/question/1713053

#SPJ1

6 0
2 years ago
Read 2 more answers
The figure above shows a square inscribed in a rectangle.
Debora [2.8K]

Answer:

31 units ²

Step-by-step explanation:

Area of a rectangle = length × width

Length = 8 units

Width = 5 units

Area of a rectangle = length × width

= 8 units × 5 units

= 40 units ²

Area of of the blue square = length ²

Length = 3 units

Area of of the blue square = length ²

= (3 units) ²

= 9 units ²

Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square

= 40 units ² - 9 units ²

= 31 units ²

Area of the orange colored part of the figure = 31 units ²

6 0
2 years ago
Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas
poizon [28]

Answer:

El precio de la falda es 50 €.

Step-by-step explanation:

Lo que sabemos:

F = 5 + B   (1)

En donde F es por falda y B por blusa.

Si compras 6 faldas y 4 blusas y pagas 480 €:

6F + 4B = 480  (2)

Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.

6F + 4B = 480

6(5 + B) + 4B = 480

10B = 480 - 30

B = \frac{450}{10} = 45  

Finalmente, el precio de la falda se puede encontar con la ecuación (1):

F = 5 + 45 = 50

Por lo tanto, el precio de la falda es 50 €.  

Espero que te sea de utilidad!      

7 0
2 years ago
What is the value of 3-(-2)?
Akimi4 [234]

Answer:

5

Step-by-step explanation:

The double negatives turn into a positive which makes the problem 3+2 which equals 5.

3 0
3 years ago
Other questions:
  • Determine the answer to (-5) + 4 and explain the steps using a number lin
    8·1 answer
  • For which interval does this quadratic inequality hold true? 6x − x2 − 8 &gt; 0
    8·2 answers
  • What is the missing number
    9·1 answer
  • Which rule yields the dilation of the figure BCDE centered at the origin?
    10·2 answers
  • Who’s joe ANSWER AND GET 35 points
    5·1 answer
  • The table shows the number of insects, by type, Bobby saw at a picnic.
    5·2 answers
  • Solve on the interval [0,2pi)<br>1+ sin 0=1/2​
    15·1 answer
  • How do you graph y= 1/2 x -4
    12·2 answers
  • If Tony can run 3 miles in 18 minutes. How far can he run in 27 minutes?
    6·1 answer
  • What is the descimal representation of seven hundredths
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!