Five kids can be given cookies in (10 + 5 - 1) C (5 - 1) = 14 C 4 = 1,001 ways.
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>4</u></em></h2>
Step-by-step explanation:
<h3>
<u>Given</u><u> </u><u>Equation</u><u>:</u></h3>
<h3>
<u>Question</u><u>:</u></h3>
- Whether x has one solution or infinite solutions or no solutions?
<h3>
<u>Solution</u><u>:</u></h3>
=> 3x + 9 = 2x + 5
- <em>(</em><em>On</em><em> </em><em>shifting</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em> </em><em>we</em><em> </em><em>get</em><em>)</em>
=> 3x - 2x = 5 - 9
- <em>(</em><em>On</em><em> </em><em>subtracting</em><em>)</em>
=> x = - 4
<h3>
<u>Result</u><u>:</u></h3>
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>has</u></em><em><u> </u></em><em><u>only</u></em><em><u> </u></em><em><u>one</u></em><em><u> </u></em><em><u>solution</u></em><em><u> </u></em><em><u>that</u></em><em><u> </u></em><em><u>is</u></em><em><u>,</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>4</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
0
Step-by-step explanation:
2a(b−c)+b(2c−2a)+4c(0.5a−0.5b)
To simplify this we need to remove the parenthesis
Distribute 2a, b and 4c inside the parenthesis
2ab -2ac + 2bc - 2ab + 2ac - 2bc
now we combine like terms'
2ab - 2ab becomes 0
-2ac +2ac becomes 0
+2bc - 2bc becomes 0
So final answer is 0
Answer:
When dividing the numbers 1-8 by 9, we get whatever number was divided as a decimal in repeating form. For example, 2/9 = 0.22222...
<em>Brainliest, please! I'm almost an Ace!</em>
Step-by-step explanation:
1/9 = 0.11111...
2/9 = 0.22222...
3/9 = 0.33333...
4/9 = 0.44444...
5/9 = 0.55555...
6/9 = 0.66666...
7/9 = 0.77777...
8/9 = 0.88888...
Answer:
As per the statement:
The path that the object takes as it falls to the ground can be modeled by
h =-16t^2 + 80t + 300
where
h is the height of the objects and
t is the time (in seconds)
At t = 0 , h = 300 ft
When the objects hit the ground, h = 0
then;
-16t^2+80t+300=0
For a quadratic equation: ax^2+bx+c=0 ......[1]
the solution for the equation is given by:

On comparing the given equation with [1] we have;
a = -16 ,b = 80 and c = 300
then;


Simplify:
= -2.5 sec and
= 7.5 sec
Time can't be in negative;
therefore, the time it took the object to hit the ground is 7.5 sec