Answer:
2 dozens, $41
Step-by-step explanation:
Given data
Man Street Florist charges
$18 for a dozen roses and a
$5 delivery fee
let the number of dozens be x
and the total charge for x dozens be y
hence
y= 18x+5--------------1
Blooms and Bouquets
charges $20 for a
dozen roses and a $1
delivery fee.
let the number of dozens be x
and the total charge for x dozens be y
hence
y= 20x+1 -------------2
Equate 1 and 2 we have
18x+5=20x+1
20x-18x= 5-1
2x= 4
x= 4/2
x= 2
Hence the number of dozens is 2
the cost is (put x= 2 in eqn 1 or 2)
y= 20(2)+1
y= 40+1
y= $41
Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
- <u>Yes, Hank will have the pool drained in time</u>.
Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
- Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
- Available time = 360 minutes
Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
- Volume of the pool = Deep * Long * Wide
- Volume of the pool = 2 m * 10 m * 8 m
- Volume of the pool = 160 m^3
Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
Now, we use a rule of three:
If:
- 1 m^3 ⇒ 264.172 gal
- 160 m^3 ⇒ x
And we calculate:
(We cancel the unit "m^3)- x = 42267.52 gal
At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
- Time to drain the pool =
(We cancel the unit "gallon") - Time to drain the pool = 325.1347692 minutes
- <u>Time to drain the pool ≅ 326 minutes</u> (I approximate to the next number because I want to assure the pool is drained in that time)
As we know, <u><em>Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes</em></u>.
Answer:
1. 30
2. 150
Step-by-step explanation:

Lets assume tan(x) = u

Now we solve for 'u'
add 1 on both sides
, divide both sides by 3

Take square root on both sides

We replace tan(x) for 'u'
x = 30 because
in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because
in second quadrant
tan is negative in second quadrant
Answer:
All I know for a fact is that number 10 is C
Step-by-step explanation: