Answer:
Step-by-step explanation:
The equation of the circle has the following form
The equation of the circle has the following form
We know that the circle goes through the following points
(1, 7)
(8, 6)
(7, -1).
Then we substitute the values of x and y in the equation
<u>For (1, 7)</u>
(1)
<u>For (8, 6)</u>
(2)
With these equations is enough to solve the system
(1)
(2)
Multiply the equation (1) by -8 and add it to the equation (2)
(1)
(2)
-----------------------------------------------------
Then
Finally the equation is:
The information's given in the question should be very minutely checked. Based on those given information's the answer to the question can easily be deduced.
Amount of sugar in the cabinet of Cassie = 1/2 pound
Amount of sugar required by Cassie to make her cake recipe = 2/10 pound
= 1/5 pounds
Then
The number of cakes that Cassie can make = (1/2)/(1/5)
= 5/2
= 2 1/2
So from the above deduction we can easily conclude that Cassie can make a total of 2 cakes with the sugar she has and there will still be some sugar left.
Answer:
D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.
Step-by-step explanation:
In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.
So it would appear as s ≥ 3g.
If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.
60 ≥ 3(20)
60 ≥ 60. These numbers make the linear system true.
If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥ 3g and plug in each variable from the answer choices until you find the variables that make the linear system true.
Answer:
1. x ≤ -8
2. y < -8
3. y < -11
4. n > 10
5. n ≤ -2
6. n ≤ 15
7. n ≤ -5
Step-by-step explanation:
Your goal is to get just the variable on one side of the inequality!
For example, take -2y - 4 > 18.
Add 4 to both sides. So... -2y - 4 + (4) > 18 + (4)
Now you get -2y > 22. Since y isn't by itself, let's divide both sides by -2.
So, (-2y / -2) > (22 / -2)
<u>Anytime you're dividing something by a negative, remember to FLIP THE SIGNS.</u> So instead of a greater than, it will now be a less than sign <.
Now you get, y < -11
15% of 27:
0.15 x 27 = 4.05
27 - 4.05 = 22.95
The sale price is $22.95
