Step-by-step explanation:
In ️ BEA and ️ CED
EB=EC ----given
angle ABE= angle DCE --------- given
angle DEB= angle DCE -------vertically opposite angles are equal
Hence, ️ BEA is congruent to ️ CED
R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
<u>5*(r-c)=45</u> because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
<u>3*(r+c)=45</u>
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask
Answer:
5.5
Step-by-step explanation:
So, this is a simple factoring problem. The answer is 5.5(2x-1). So, heres how we get that answer.
So, factoring is basically breaking down the problem into smaller parts. So once we simplify the problem, we can factor it.
- Simplify by combining like terms: 5x+6x= 11x and -2.5-3=-5.5
- Now we have 11-5.5=?
- so, we need to have (2x-1) in our answer because the problem asks for that in the answer.
- We need to find a number that satisfies the equation and answer
- so, 5.5(2x) is 11x, and 5.5(-1) is 5.5.
- 5.5 satisfies the equation, therefore is the answer
Answer:
B. a decrease in their water bill of $3.16.
Step-by-step explanation:
Monthly service charge =$10.10
Volume charge = $1.58 for every 100 cubic feet of water.
Total monthly cost = 1.58x + 10.10
If the Johnson family used 
less water this month than last month, then they can expect a reduction in their bill by the Volume charge for .
Volume Charge per 
of water = $1.58
Therefore: Volume Charge for of water = 2 X $1.58=$3.16
Therefore, the Johnson family can expect a decrease in their water bill of $3.16.
18x-12xy+8y
You can look up the answer in an equation calculator.
