Answer: C) (-3, -1)
X = -3 and y= -1
If you apply these values in the inequalities
y < 2x + 1
-3 < -2 + 1
-3 < -1
Since -3 is less than -1 , the values hold true for the first equation
y > -x-5
-3 > -1 - 5
-3 > -6
Since -3 is greater than -6, it also holds true for the 2nd equation
Answer:
Step-by-step explanation:
2l+2w+h=72
l=3w
h=2w
2(3w)+2w+2w=72
10w=72
w=7.2
l=3 × 7.2=21.6
h=2w=2 ×7.2=14.4
Answer:
x = 32
The 9 and 4 ball are farthest from each other.
Step-by-step explanation:
Since the angles of a triangle add up to 180 degrees, you can create the equation (x-5)+(2x+1)+(3x-8)=180, which can be simplified to 6x-12=180. That means the value of x is 32. That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees. Based on the angles, the farthest distance would be between balls 9 and 4.
Using it's concept, there is a 0.625 = 62.5% probability that he or she has a bachelor's or a master's degree.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The company has 6 + 2 + 8 = 16 employees, out of which 2 + 8 = 10 have a bachelor's or a master's degree, hence the probability is:
p = 10/16 = 0.625.
0.625 = 62.5% probability that he or she has a bachelor's or a master's degree.
More can be learned about probabilities at brainly.com/question/14398287
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9514 1404 393
Answer:
$2000
Step-by-step explanation:
The amount of interest is given by the formula ...
I = Prt
where P is the principal invested, r is the annual rate, and t is the number of years. Here, we want to find P when I = 50, r = 0.05, and t = 1/2.
50 = P(0.05)(1/2)
P = 50/(0.05·1/2) = 2000
Alden started with $2000 in his account.
