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Lemur [1.5K]
3 years ago
5

Determine whether test point (-6,4) is a solution to the linear inequality x+y_<1

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0
\bf \begin{array}{llll}&#10;-6&,&4\\&#10;\uparrow &&\uparrow \\&#10;x&&y&#10;\end{array}\qquad x+y\le 1\implies -6+4\le 1\implies -2\le 1

now, is it true that -2 is lesser than 1? if it's true, is a solution, if is false, is not then
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Shirley has a circular rug in her dining room that has an area of 36 pie Square meters what is the radius of the circular rug
ValentinkaMS [17]

Answer: The radius of the circular rug is  6 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

<em>Area of a circle (A) = pi r² </em>

Where r is the radius:

Replacing with the values given:

36 pi=pi r²

Dividing both sides by pi:

36 = r²

√36= r

r = 6 meters

So, the radius of the circular rug is  6 meters.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
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He counted 206 wheels and 170 pedals. How many bicycles and tricycles does he have.
noname [10]
Bicycle has 2 wheels and 2 pedals
 tricycle has 3 wheels and 2 pedals

EQ 1 : 2b + 2t = 170 pedals

 EQ 2: 2b +3t = 206 wheels

subtract  EQ 1 from EQ 2

2b +3t = 206 - 2b + 2t = 170 = t=36

 there were 36 tricycles

36 x 2 = 72 pedals

170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles

36 Tricycles and 49 bicycles




8 0
3 years ago
Mr. Keller bought a car for $20,000. A study shows that a car will depreciate (go DOWN in value) by 15% each year. How much is M
Schach [20]
A: the formula would be f(x) = P(R) ^T or f(x) = Principle(rate)^time

B: f(x) = 20,000(0.85)^5  

C: = 8,874.10625

D: Yes, the final answer makes sense compared to the origional cost of the car in relation to the formula. As well, time decreases the value of a car, so for the cost to be so low only makes sense due to the cars decrease in value or an extended and elongated amount of time. 

E: You can solve this equation graphically by plotting th point at 20,000 and then taking 85% of 20,000 and plotting it each time until you get to the fifth year.

5 0
3 years ago
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For every 36 minutes of sprinting, Scarlett earned 12 dollars for charity. To find the unit rate of this, I would first need to
grin007 [14]

Answer:

$1 every 3 minutes

Step-by-step explanation:

Cause every 36 minutes Scarlett earns $12 and if you divide 36 by 12 it will give 3 minutes which means she earns $1 per 3 minutes. You're right.

7 0
2 years ago
Perry divided up some candy to give equally to his six friends if c represents the total amount write an expression to represent
Delicious77 [7]
Use easy numbers if you get confused on problems like these.

I'm going to use 12 instead of c.
Since you have 12 pieces of candy and 6 friends, each friend would get 2 pieces, because 12/6=2.

Now, substitute c for 12, and you get c/6.

Hope this helps!
7 0
3 years ago
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