Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.
Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
Answer:
6 6/11, 6.547, 131/20, 6.77.
Step-by-step explanation:
First convert to decimal values.
131/20 = 6.55
6.77
6 6/11 = 6.54545
6.547
Answer:
12 3/8 feet
Step-by-step explanation:
Because 4 1/2 times 2 3/4 equals 99/8, then 99 divided by 8 equals 12 3/8.
Jessica is purchasing a new car whose MSRP is $19,750. She is trading in her old car for $8100.
Without the upgrade package and delivery charge , the cost of her car is
19,750 - 8100 = $11650
upgraded cost = $6000 and Vehicle delivery = $600. we add the upgraded cost and delivery cost.
Total cost of car = 11650 + 6000 + 600 = $18,250