Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
Answer:
50
Step-by-step explanation:
Plug 10 in for x.
The answer is 9 cubic units
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The given equation is
12x + 2y = 6
we would make this equation to look like the slope intercept equation.
12x + 2y = 6
If we subtract 12x from both sides of the equation, it becomes
12x - 12x + 2y = 6 - 12x
2y = 6 - 12x
2y = - 12x + 6
Dividing both sides of the equation by 2, it becomes
y = - 6x + 3
Thus, by comparing with the slope intercept equation,
slope = - 6
y intercept = 3
Answer:
A
Step-by-step explanation:
You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.
