Answer:
C
15 + x
Step by step explanation
For Company X, the initial cost is 30 cents plus 5 cents per minute, so the expression would be 30 + 5x (x would represent minutes.
For Company Y, the initial cost is 15 cents plus 4 cents per minute, so the expression would be 15 + 4x (x would represent minutes.)
Then subtract the expression of Y from the expression of X to show the difference in value between Y and X.
So, 30 + 5x - (15 +4x)
Distribute the subtraction sign.
30 + 5x - 15 - 4x
Solve across.
15 + x
Yea, it’s 180cm^3
V=bh
V= 20cm • 9cm
V=180cm^3
Have a good day :)
Let the length of the 1st line segment = x
then the length of the second line segment = 4x + 5
The difference in their lengths = 35
so 4x + 5 - x = 35 ... [longer - shorter = 35]
3x = 30
x = 10
so the shorter (1st) line segment is 10 cm long
and the longer (2nd) line segment is 4 * 10 + 5 = 45 cm long
Answer:
A.) 1
Step-by-step explanation:
First change the equation to 2 + ( - 8x ) = -6 so it’s easier to read
Take away 2 from both sides
So now you have -8x = -8
Divide both sides by -8 so you get positive x and 1
x = 1
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:

where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where
= side length
a = 4, so:


Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²