Answer:
time taken=1800 seconds
Step-by-step explanation:
velocity=v=10m/s
distance=S=18km=18×10³m=18000m
t=?
as we know that
velocity=
velocity×time taken=distance covered
now here we have to find time
time taken=
time taken=
time taken=1800seconds
Answer:
1) X stands for individual acts and y, group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) 
Step-by-step explanation:
Completing with what was found:
<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>
1. What do x and y represent in this situation?
X stands for individual acts and y, group acts.
Besides that, In the system of equation, they represent the time for x, and the time for y.
2. Do you agree that your classmate set up the equations correctly? Explain why or why not.
Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.
3. Solving the system by Elimination

Answer:
14, -7, -2
Step-by-step explanation:
<u>The coefficient is the number that multiplies the variable, so list the numbers that fall under that definition:</u>
14x - 7x + 1 - 2x
↑ ↑ ↑
14 -7 -2
<u>The coefficients in the expression are </u><u>14, -7, and -2.</u>
Answer:
height is 15
Y = L = Length
therefore 15y = (-x^2) +(300/20)
Step-by-step explanation:
15 = -x^2 +(300/20)
is the same as;
15 = (300/20) - (x^2)
we just add y to 15 and that can represent a division for x
y = L
Where area cm^2 can be shown as 300 as 15 x 20 = 300
when we divide by length we get the height as asked in the question.
Answer:
<h2>1/7</h2>
Step-by-step explanation:
If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25
Let the probability that the number chosen at random is a multiple of 6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)
P(A) = P(multiple of 6)
P(B) = P(number larger than 18)
A = {6, 12, 18, 24}
B = {19, 20, 21, 22, 23, 24, 25}
The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).
P(A|B) = P(A∩B)/P(B)
Since probability = expected outcome/total outcome
A∩B = {24}
n(A∩B) = 1
P(A∩B) = n(A∩B)/n(U)
P(A∩B) = 1/25
Given B = {19, 20, 21, 22, 23, 24, 25}.
n(B) = 7
p(B) = n(B)/n(U)
p(B) = 7/25
Since P(A|B) = P(A∩B)/P(B)
P(A|B) = (1/25)/(7/24)
P(A|B) = 1/25*25/7
P(A|B) = 1/7
<em></em>
<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>