Answer:
5
Step-by-step explanation:
maybe because 1.2 × 5 = 6
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
Any 3 digit number can be expressed in the form of:
Where 
represent any natural number from 0 to 9.
We are told the hundreds number (this means 
in the expression above) is equal to the value of 40 tens, 40 tens is 400. Then, we know the digit in the tens is greater then 6, this means 
in the expression above.
So, there are multiple numbers the room number could be, namely:
where 
can be 7, 8, or 9; and 
can be 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. So, there's 30 possible room numbers Lydia may be.
Answer: D
<u>Step-by-step explanation:</u>
A. False
f(x): x → -∞, y → -∞
g(x): x → -∞, y → 1
B. False
at x = -1, f(x) = -7
at x = -1, g(x) = 1.5
C. False
refer to A
g(x) → 1 and f(x) → -∞ so g(x) > f(x)
D. TRUE
It is hard to tell from the graph so plug in a value to check.
f(10) = 5(10) - 2
= 50 - 2
= 48
g(10) = 2¹⁰ + 1
= 1024 + 1
= 1025
g(10) > f(10)
Answer:
ACD = 120°
Step-by-step explanation:
Exterior angle theorem.
3x = (x + 12) + (x + 28)
3x = 2x + 40
x = 40
ACD = 3x = 3(40) = 120°
