Answer:
Option A
Step-by-step explanation:
Slope of a line passing through two points
and
is given by,
Slope = 
Line shown in the graph is passing through two points (2, 8000) and (4, 7000).
Therefore, slope of the given line = 
= -500 feet per mile
Which means, altitude decreases by 500 ft every mile.
(Negative sign represents the decrease)
Option A is the correct option.
Answer:
B
Step-by-step explanation:
1. Given mathematical statement

So,

2. Rewrite it as

So,

3. Combine like terms
and 

So,

4. Add
to both sides:

So,

5. Subtract 3 from both sides:

So,

6. Divide both sides by 5:

So,

Answer:
Volume = 100 
Step-by-step explanation:
Volume, V= Bh
length = 10 inches
width = 5 inches
height = 2 inches
So that,
B = 5(10)
= 50 
B = 50 
Then,
V = (50)(2)
= 100
v = 100 
To find the circumference of a semi-circle, it would be 1/2<span> π × d. So, pi (3.14) times the diameter, 5 would be 15.7, but then we would need to multiply it by 1/2 to get the circumference for half the circle, and that will get you 7.85. Now you can add all the lengths now. 7.85 + 7 + 5 + 7 = 26.85. Hope this helps! Let me know if you still don't get it. <3</span>
Answer:
Bobby around 131 minutes and Billy around 111 minutes
Step-by-step explanation:
To solve the problem it is important to raise equations regarding what happens.
They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:
1 / Bo + 1 / Bi = 1/60 (1)
They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore
1 / Bi = 1 / (Bo-20) (2)
Replacing (2) in (1) we have:
1 / Bo + 1 / (Bo-20) = 1/60
Resolving
(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60
120 * Bo - 1200 = Bo ^ 2 - 20Bo
Rearranging:
Bo ^ 2 - 140Bo -1200 = 0
Now applying the general equation
Bo = 130.82 or Bo = 9.17, <em>this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together</em>, therefore Bobby only takes around 131 minutes and Billy around 111 minutes
Checking with equation 1:
1/131 +1/111 = ~ 1/60