Let x = the # jujubes Sam had
he gave x/2 to jen
jen eats half of it = 1/2(x/2) = x/4
the remaining x/4 he gave to kyle
kyle kept 8 and gave 10 to Kim
so
x/4 - 8 = 10
x/4 = 18
x =72
thus jen had 36 jujubes
jen eat 18 jujubes
Answer:
We have to find the maximum number of solutions of each of the following system:
1)
Two distinct concentric circles:
Since, distinct concentric circles means that the two circles have same center but different radius.
That means they will never intersect each other at any point.
Ans hence we will get zero solutions.
2)
Two distinct parabolas:
Two parabolas can maximum intersect at 2 points this could be seen by the diagrams.
3)
A line and a circle.
A line and a circle can maximum have 2 solutions.
4)
A parabola and a circle.
It can have maximum two solutions it can be seen from the diagram.
Answer:
(2, 11/2)
Step-by-step explanation:
This is a vertical parabola; we know that because x is squared here, while y is not. The standard equation of a vertical parabola with vertex (h,k) is
4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus. Comparing
4p(y-k) = (x-h)^2 to
10(y-3) = (x-2)^2, we see that 4p = 10. Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.
Since the coordinates of the vertex are easily read from the given equation
(x-2)^2=10(y-3): (h,k) = (2, 3)
all we need to do is to add p (5/2) to the y-coordinate (3);
The focus is at (2, 3 + 5/2), or (2, 11/2).
Answer:
Step-by-step explanation:
Total amount of apples that Nicole bought was 6 pounds.
Each pound of apple cost $1.50
This means that the total cost of the 6 pounds of apple that Nicole bought would be
6 × 1.5 = $9
The store had a discount of $2 off her total purchase. This means that the amount that was paid is
9 - 2 = $7
If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be
x = 7/2
<span>The answer is: the least amount is 105.35 and the greatest amount is 105.44. If the number after the one you want to round is 5 or bigger, you need to round up the number. For instance, 105.35 is rounded to 105.4 which is equal to 105.40. If the number after the one you want to round is smaller than 5, you need to round down the number. For instance, 105.44 is rounded to 105.4 which is equal to 105.40.</span>
