Well, let's check if your inequality is true. We have to add the 3 scores up and divide them by 3 to know the average.
73 + 81 + 86 = 240
240 / 3 = 80
80%
That's true, now let's check 101.
73 + 81 + 101 = 255
255 / 3 = 85
85%
That's true.
Your inequality is correct.
The y intercept is 5, since slope is y=mx+b. The x intercept is at -2. If you have more problems like this there is an amazing calculator that graphs equations like this for you. www.symbolab.com. Hope this helps!
Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:
The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:
Factoring by finding two numbers that add up to 18 and have a product of 80:
The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
Answer:
163.3m²
Step-by-step explanation:
area = Pi(r²)
r = d / 2
r = 12
12² = 144
144 x 3.14 = 452.16
diameter of bigger circle = 24 + 4 (2 on each side)
28 / 2 = 14
14² = 196
196 x 3.14 = 615.44
sidewalk = bigger - smaller
sidewalk = 615.44 - 452.16
sidewalk = 163.3
