a.) you start with 19=h/3-8 so you add 8 to both sides then you simplify 19+8 to 27 so the equation then becomes 27=h/3 from there you multiply each side by 3 so its 27*3=h then you simplify 27*3 which leaves you with 81=h u then switch it around and your final answer h=81
b.) you start with 0.6x +0.8=1.4 first you subtract 0.8 from both sides so the equation is 0.6x=1.4-0.8 then you simplify 1.4-0.8/ so it then becomes 0.6x=0.6 u then divide both sides by 0.6 so the equation is now x=0.6/0.6 you then simplify 0.6/0.6 so you are left with x=1
a)
Answer: 0.91 m
Explanation:
We know that,
P.E. = m g h
Where,
P.E = Potential energy
m = Mass of the object
g = acceleration due to gravity (9.8 m/s²)
It is given that, m = 1.5 kg
P.E. = 13.44 J
⇒ 13.44 = 1.5 kg × 9.8 m/s² × h
⇒ h = 0.91 m
Hence, apple sits om 0.91 m tall counter.
b)
Answer: 216 J
Explanation:
P.E. = m g h
Weight, mg = 120 N ( given)
height, h = 1.8 m ( given)
The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)
P.E. = 120 N × 1.8 m = 216 J
Hence, the energy possessed by the suitcase sitting on the counter is 216 J.
I’m assuming you just substitute 2 in the equation for x:
4 + x = 4 + 2 = 6
Answer = 6
Answer:
a. $1360
b. $8.50 per hour
Step-by-step explanation:
a.
5 couches upholstered, each 105 equals 5 * 105 = 525
6 loveseats upholstered, each 85 equals 6 * 85 = 510
5 chairs upholstered, each 65 equals 5 * 65 = 325
Hence, total pay = 525 + 510 + 325 = $1360
b.
To find hourly rate, we take total amount and divide it by number of hours.
1360/160 = $8.5 per hour
Hence, hourly rate is $8.50 per hour
Answer:
Job A is more profitable for nearly 49 months (or 50 months including the first month)
Job B is more profitable after 49 months (or 50 months including the first month).
Step-by-step explanation:
Let x be the number of months passed after first month
<u>Job A:</u>
$2,000 for the first month with a $300 raise every month thereafter
Function describing this situation:
<u>Job B:</u>
$1,500 for the first month with a 5% raise every month thereafter
Function describing this situation:
Plot both graphs (see attached diagram). The diagram shows that the job A is more profitable for nearly 49 months (or 50 months including the first month) and the job B is more profitable after 49 months (or 50 months including the first month).
