Answer:
Equation : x + 1 + 3x = 7
Miles Lissette biked : 3/2 miles
Step-by-step explanation:
<em>Step 1: Determine the total number of miles biked.</em>
From my understanding. 7 miles is the total number of miles biked by both.
<em>Step 2: Assume the values</em>
Miles Lissette biked = x
Miles Shane biked = 1 + 3x
<em>Step 3: Add miles biked by Lissette and Shane which will be equal to total miles. </em>
Equation for miles Lissette biked: x + 1 + 3x = 7
4x + 1 = 7
x = 6/4
<em>Step 4: Simplify</em>
x = 6/4
x = 3/2
Therefore, the equation for miles Lissette biked is x + 1 + 3x = 7 and Lissete biked for 3/2 miles.
!!
Most of the information's required for solving the question is already given in the question.
Height of the building that casts a shadow of 20 m = 32 m
Then
Height of the man that casts a shadow of 1.2 m = (32/20) * 1.2 meter
= 3.2 * 1.2 meter
= 3.84 meter
So the actual height of the person casting a shadow of 1.2 meter is 3.84 meters. I hope that the procedure used for solving the problem is easy enough for you to understand. You can definitely use this method in future for solving problems of similar type without requiring any additional help from outside.
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole given a part and the percent.
Answer:
a.
b.
Step-by-step explanation:
We have a differential equation
y''-2 y'-35 y=0
Auxillary equation
By factorization method we are finding the solution
Substitute each factor equal to zero
D-7=0 and D+5=0
D=7 and D=-5
Therefore ,
General solution is
Let
We have to find Wronskian
Substitute values then we get
a.
We are given that y(0)=-7 and y'(0)=23
Substitute the value in general solution the we get
....(equation I)
......(equation II)
Equation I is multiply by 5 then we subtract equation II from equation I
Using elimination method we eliminate
Then we get
Substitute the value of in I equation then we get
Hence, the general solution is
b.
The answer is C, because it makes sense.
2(7-2)>8
10>8