Answer:
The total amount of money pays by Adrian is $14.5 .
Step-by-step explanation:
As given
Adrian purchases six tubes of paint and three paint brushes at a craft store.
Each tube of paint cost $2.50 each paint brush cost $0.50 .
Total cost of the 6 tubes of paints and 3 paint brushes = 6 × Cost of each tube of paint + 3 × Cost of each paint brush cost .
Putting the values in the above
Total cost of the 6 tubes of paints and 3 paint brushes = 6 × 2.50 + 0.50 × 3
= 15 + 1.5
= $16.5
As given
Adrian has a coupon for $2 of his purchase .
Total amount money pay by Adrian = Total cost of the 6 tubes of paints and 3 paint brushes - Coupon cost
Putting the values in the above
= $16.5 - $2
= $ 14.5
Therefore the total amount of money pays by Adrian is $14.5 .
Observe that
|√3 + i| = √((√3)² + 1²) = √4 = 2
and
arg(√3 + i) = arctan(1/√3) = π/6
so that
√3 + i = 2 exp(i π/6)
By de Moivre's theorem, we get
(√3 + i)⁶⁰ = 2⁶⁰ exp(i π/6 • 60) = 2⁶⁰ exp(i 10π) = 2⁶⁰
Answer:
y = 10x
Step-by-step explanation:
(2, 20)
(5, 50)
(7, 70)
From 2 to 5 we add 3 (x section)
From 20 to 50 we add 30 (y section)
We can do y/x = 30/3 = 10
The slope will be 10.
Hope this helped!
Have a supercalifragilisitcexpialidocious day!
Interest rate:
42x = 96.60
÷42 ÷42
x = 2.30
Full Equation:
1,200 + (2.30 × 42 )
1,200 + 96.60
$1,296.60
Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
