We know that Bonnie complete her paper route in 45min. So, in 1min she can complete:
of her paper route.
We need to know <span>how long it would take Jean alone, then we will call
this time
x. Working together they last 18min, so </span>in 1min they can complete:
of the paper route.
The paper route working together satisfies the following equation:
Solving this equation:
Finally:
It takes 30min to complete the paper route by Jane alone.
Answer:
1/20
Step-by-step explanation:
There are 20 spots on the board and the odds u will land on 5 would be 1/20
Answer: I dont know, sorry.
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
The information to fill one the box regarding the proof include:
- AB = CD
- AD = CB
- BD is common to both triangles
<h3>How to illustrate the proof?</h3>
It should be noted that when two triangles of each corresponding sides are equal, then it's said that they are similar.
Here AB = CD, and AD = CB as they illustrate the fact that they are parallel.
Learn more about flowchart proof on:
brainly.com/question/12611050
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