42.857 is the answer to 300÷ 7
Answer:
x=-4/7
Step-by-step explanation:
We are given an equation as
6(x+7)+4=-8(x-5)-2
and asked to solve for x
Simplify to get
Distribute 6 over x+7 and on right side -8 over x-5
6x+42+4 = -8x+40-2
Take -8x to left side to become +8x and 46 to right side to become -46
Grouping like terms
14x = 38-46 = -8
Divide by 14
x = -8/14 = -4/7
Since this is an equation, we get a single value for x
and answer is -4/7
To solve this problem you must apply the proccedure shown below:
1. You have that the equation of the ellipse is the following:
(x²/400)+(y²/256)=1
2. You have that:
((x-0)²/400)+((y-0)²/256)=1
3. Then, the center is:
(0,0)
4. The vertices are:
a²=400
a=√400
a=20
(-20,0)
(20,0)
b²=256
b=√256
b=16
(0,-16)
(0,16)
5. The focci is:
a²–c²=b²
√(400-256)=c
c=12
(-12,0)
(12,0)
The hot tub takes in 1,520 watts everyday to keep its water warm. A kilowatt has 1,000 watts (hence kilo means 1,000). 1,520 divided by 1,000 equals 1.520. However, this isn't free electricity - Each kilowatt costs 8 cents or 0.08 of a dollar. 1.520 x 0.08 = 12.160 or $12.16. We aren't done yet! This hot tub runs for 4 months (and we are assuming these months exactly have 30 days each). 4 x 30 = 120. $12.16 x 120 = $1,459.20. In order to keep the hot tub running, you need to pay 1,459.20 for all the kilowatts of electricity it takes.
The answer is (A. x =-1, y=4, z=8)
