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:
24 degrees
Step-by-step explanation:
The distance from 15 degrees to 0 degrees is 15, and the distance from 0 degrees to -9 degrees is 9, so then the total distance from 15 degrees to -9 degrees is (15+9 degrees) which adds up to be 24 degrees
Answer:
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Step-by-step explanation:
- <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>
==================
Let the parts be x, y and z
<u>As per given we get below system of equations:</u>
- x + y + z = 25000
- 0.1x + 0.12y + 0.16z = 3200
- 0.1x + 0.2y = 0.16z
<u>Substitute 0.1x + 0.2y in the second equation:</u>
- 0.16z + 0.16z = 3200
- 0.32z = 3200
- z = 3200/0.32
- z = 10000
<u>Now we have:</u>
- x + y + 10000 = 25000 ⇒ x + y = 15000
and
- 0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600
<u>Multiply the second equation and then subtract the first one:</u>
- 10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
- x + 1.2y - (x + y) = 16000 - 15000
- 0.2y = 1000
- y = 10000
Then
<u>So the parts are:</u>
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Answer:
its basically just x=4
Step-by-step explanation:
Answer:
$1.30/pound
Step-by-step explanation:
7.15/5.5=1.3, and 1.3 x 5.5= 7.15
