If the average rates were 20 and 25 miles per hour, then together they cover 45 miles of the distance they are separated by per hour. The ships will be 30 miles apart when 270 miles have been covered, so it takes 270/45=6 hours to cover the distance. 6 hours after 5 PM is 11:00 PM.
Answer:
here I think
Step-by-step explanation:
8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3
Answer:
The numbers are 20 and 140
Step-by-step explanation:
<u><em>The question in English is</em></u>
Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460
Define the variables
Let
x ----> the first number
y ----> the second number
we know that
-----> equation A
----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B

solve for x



<em>Find the value of y</em>
---->
The numbers are 20 and 140
Answer:
Step-by-step explanation:
Sum a with a-s ;b with b-s so:
0.75a + 10b + a – 2b=0.75a+a+10b-2b=1.75a+8b
The equation that represents the <em>sinusoidal</em> function is
,
.
<h3>Procedure - Determination of an appropriate function based on given information</h3>
In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline (
) and has both a maximum (
) and a minimum (
).
Sinusoidal functions have in most cases the following form:
(1)
Where:
- Angular frequency
- Angular phase, in radians.
If we know that
,
,
,
and
, then the sinusoidal function is:
(2)
(3)
The resulting system is:
(2b)
(3b)
By applying <em>inverse trigonometric </em>functions we have that:
,
(2c)
,
(3c)
And we proceed to solve this system:


,

By (2c):



The equation that represents the <em>sinusoidal</em> function is
,
. 
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372