Answer:
A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.
Step-by-step explanation:
equation of circle is
(X-center_X)^2 + (y-center_Y)^2 = r^2
==> (x+3)^2 + (y-2)^2 = r^2
Now it passes 1,5 so
4^2+3^2 = 5^2
==> r = 5
when x = -7
y = -1 or 5
Answer:
8 wristbands
Step-by-step explanation:
Let us assume that both of the company were ordered to deliver w wristbands.
The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:
2w
The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:
1.25w + 6
If both companies charge the same amount, hence:
2w = 1.25w + 6
2w - 1.25w = 6
0.75w = 6
w = 6/0.75
w = 8
The two companies charge the same amount for 8 wristbands
Answer:
Ranger's simplified expression was 0.1x + 18.2
The correct answer is the first option.
Step-by-step explanation:
To simplify the given expression
3(2.7x + 5) – 2(4x – 1.6)
First, we will open the brackets by distributing 3 and 2, that is
(3×2.7x) + (3×5) -(2×4x) -(2×-1.6)
Now, we will get
8.1x + 15 - 8x +3.2
Now, collect like terms,
8.1x - 8x + 15 + 3.2
Then, we will get
0.1x + 18.2.
Hence, Ranger's simplified expression was 0.1x + 18.2.
The correct answer is the first option.
Answer:
- 7 magnets
- 2 robot figurines
- 1 pack of freeze-dried ice cream
Step-by-step explanation:
The greatest common factor of 24, 48, and 168 is 24, so 24 gift bags can be made. Each will have 1/24 of the number of gift items of each type that are available.
In each bag are ...
- 1/24 × 168 magnets = 7 magnets
- 1/24 × 48 robot figurines = 2 robot figurines
- 1/24 × 24 packs of ice cream = 1 pack of ice cream
_____
One way to find the greatest common factor (GCF) is to consider whether the smallest number divides all the numbers. If so (as here), then that is the GCF. If not, then consider the smallest difference between any pair of numbers, to see if it divides all of the numbers. If not, then test the smallest positive remainder from any of those divisions. Repeat until you have found a common divisor (which may be 1).
