Answer:
The answer is Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Here we a given a rule
It say
÷
And we are given the values of x and y as
x=4 and y = 9
Let us replace them in the rule we are provided with
÷
Applying DMAS rule, which says, first Division ollowed by Multiplication addition and then subtraction .
We first divide 9 by 3
9÷3 = 3
Hence
÷
Now we square first
Hence our final answer will be 36
Answer:
A) 14°
Step-by-step explanation:
If α and β are the two angles other than 90° in a right triangle, then we have the relation between α and β as, α+β=90°.
Therefore, Sin α = Sin (90° -β) =Cos β.
So, we can write the reverse as if Sin α = Cosβ, then we have α + β =90°.
It is given that, Sin (3x-27) = Cos (5x+5).
Hence, we can write (3x-27) + (5x + 5) = 90
⇒ 8x = 90+27-5 =112
⇒ x = 14°
Therefore, option A. is correct. (Answer)
Step-by-step explanation:
a1=ar⁰=12 A2=ar¹=-6
a=12 ar=-6
12r=-6
r=-6/12
r=-1/2
a10=ar⁹
=12*(-1/2)⁹
=12*(-512)
=-3/128
S∞ = a1 / (1-r )
=12/(1-1/2)
=12*1/2
=6
Answer:
It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.
Step-by-step explanation:
Use exponential decay formula:
A = P (1-r)t
A = amount decreased to
P = original amount
r = rate of decrease
t = time
6 ≥ 12 (1-0.10)t divide both sides by 12
0.5 ≥ (0.9)t take log of both sides
log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor
log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign
log (0.5) / log (0.9) ≤ t use calculator
6.57 ≤ t
It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.
check:
12 (0.9)7≈ 5.73
12 (0.9)6 ≈ 6.37
