Answer:
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Answer: 72.4
Step-by-step explanation:
Fraction of six-grade students that have at least one pet = 2/5
Number of sixth graders at Brunswick Elementary school = 181
The number of sixth graders that own own pets will be:
= 2/5 × 181
= 72.4
(3/4 oz/ 1 cookie)* (16 cookies/ 24 packages)= 0.5 oz/ package.
(Note that the unit cancels out so you get the answer)
Each package weighs 0.5 ounce~
The number of seconds it takes for the waste to hit the ground for the given function is: 5 seconds.
<h3>How to Evaluate a Function?</h3>
We are given the function of height to time as, h(t) = -16t² + initial height, and we have the following:
- h(t) = 0 (height of the ground is 0)
- t = seconds the waste takes to height the ground
- Initial height = 400 feet
Plug in the values into the equation of the function
0 = -16t² + 400
Solve for t
0 - 400 = -16t²
-400 = -16t²
-400/-16 = t²
400/16 = t²
√(400/16) = t
20/4 = t
5 = t
t = 5
The number of seconds it takes is: 5 seconds.
Learn more about functions on:
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Answer:
x=10 and y=12
Step-by-step explanation:
To solve this quadratic equation we will use two method
1. Elimination method
2. substitution method
first of we use elimination method
we either eliminate x or y
we will be eliminating y
83x-20y=590..........(eq1)
60x+18y=816...........(eq2)
y will be eliminated by multiplying
(eq1) by 9
(eq2) by 10
which will give
747x-180y=5310.........(eq3)
600x-180y=8160.........(eq4)
see that y has the same value that is (-180y and +180y)
so to eliminate y completely you have to add eq1 and eq2 because if you don't add them together you wont eliminate y
747x-180y=5310
+
600x+180y=8160
=
1347x+0=13470
1347x=13470
x=13470/1347
x=10
Now to find y we use substitution method ie put x=10 in any of the equation above(eq1,eq2,eq3, eq4) you will get the same answer
eq1
83x-20y=590..... where (x=10)
83(10)-20y =590
830-20y=590
like terms
-20y=590-830
-20y= -240
divide both sides with -20
y= -240/-20
y=12
OR
eq2
60x+18y=816..... where x=10
60(10)+18y=816
600+18y=816
like term
18y=816-600
18y=216
y=216/18
y= 12
or eq3 or eq4 you will still get the same answer......