<h2>Answer </h2>
D. 6x>_360; x>_60
<h2>Explanation</h2>
Let be amount you will save each weeks
Since we know that you are saving over a period of 6 weeks, you will save .
We also now that your goal is to save at least $360.00 over the period of 6 weeks, so saving more than $360.00 will be very desirable, but the goal is to save $360.00. We can rephrase this as: You need to save $360.00 or more; we can say the same using the inequality symbol (greater on equal than)
Now we can combine our tow parts using the inequality symbol:
To simplify divide both sides by 6:
You need to save at least $60 per week, so the correct answer is D. 6x>_360; x>_60
Answer:
tickets: $14
popcorn: $10
total: $24
Step-by-step explanation:
2 movie tickets at $7 each is 2*7 which is $14
2 buckets of popcorn at $5 each is 2*5 which is $10
adding these together we get a total spending of $24
A)
I:2.25*pretzels+1.5*drinks=463.50
II:pretzels+drinks=257
b)
with II:
pretzels+drinks=257
pretzels=257-drinks
substitute pretzels=257-drinks into I:
2.25*pretzels+1.5*drinks=463.50
2.25*(257-drinks)+1.5*drinks=463.50
2.25*257-2.25*drinks+1.5*drinks=463.50
-0.75*drinks=463.5-2.25*257
0.75*drinks=114.75
drinks=114.75/0.75=153
in II:
pretzels=257-drinks
pretzels=257-153=104
Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
Answer:
≈6.28
Step-by-step explanation:
C=2r