Answer:
4
step by step:
b-9=4
Answer:
(20-3x)/2 GB
Explanation:
Total amount of data on my computer = 10GB
Total amount of data occupied by movies = x GB
If pictures take up half the amount of space that movies do, then;
Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x
If the remaining are music, the amount of space occupied by music will be expressed as shown;
Total space -(space occupied by movies + space occupied by pictures)
= 10 - (x+1/2 x)
Total amount of data occupied by music = 10 - (x+1/2 x) GB
On simplification;
= 10 - (x+1/2 x)
= 10-{(2x+x)/2}
= 10 - {3x/2}
= (20-3x)/2 GB
Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.
Answer:
A. 
Step-by-step explanation:
Given:
Volume of the cylindrical container before dilation, 
Scale factor of the dilation, 
Therefore, the volume of the dilated cylinder is given as:
Plug in 1 gal for 
and 
for SF. Solve for 
. This gives,
Therefore, the volume of the dilated cylinder is gallons.
Answer:
20
Step-by-step explanation:
We write what we know.
Jimmy
$50/mo app 65¢ or .65
Lisa
$55/mo app 40¢ or .40
a = number of apps
The difference will come from the number of apps, a.
We need them to equal each other so let's write an equation.
$50 + .65a = $55 + .40a
We need to solve for a.
$50 + .65a = $55 + .40a subtract $50 for each side.
$50 - $50 + .65a = $55 - $50 + .40a
.65a = $55 - $50 + .40a
.65a = $5 + .40a subtract .40a from each side
.65a - .40a = $5 + .40a - .40a
.65a - .40a = $5
.25a = $5 Divide each side by .25
.25a/.25 = $5/.25
a = $5/.25
a = 20
So Jimmy and Lisa need to download 20 apps for their bill to be the same.
y = 8
using the ' gradient formula' m = (y₂ - y₁)/(x₂ - x₁)
with (x₁, y₁) = (3, 3), (x₂, y₂) = (- 5, y) and m = - 
(y - 3)/( - 5 - 3) = -
(y - 3)/(-8) = -
multiply both sides by - 8 to eliminate fractions
y - 3 = 5
add 3 to both sides
y = 5 + 3 =8
